t designs with small t, id ge 18200

# 18200: 5-(37,10,92512)

clan: 25-(56,28,2065), 1 times reduced t, 18 times derived, 1 times residual
residual design of 6-(38,10,16520) (# 18181)
derived from 6-(38,11,92512) (# 18182)
residual design of supplementary of 6-(38,10,19440) (# 18183)
derived from supplementary of 6-(38,11,108864) (# 18184)

# 18201: 5-(37,9,19440)

clan: 25-(56,28,2430), 1 times reduced t, 19 times derived
derived from supplementary of 6-(38,10,16520) (# 18181)
derived from 6-(38,10,19440) (# 18183)

# 18202: 5-(37,10,108864)

clan: 25-(56,28,2430), 1 times reduced t, 18 times derived, 1 times residual
residual design of supplementary of 6-(38,10,16520) (# 18181)
derived from supplementary of 6-(38,11,92512) (# 18182)
residual design of 6-(38,10,19440) (# 18183)
derived from 6-(38,11,108864) (# 18184)

# 18203: 5-(37,11,416304)

clan: 25-(56,28,2065), 1 times reduced t, 17 times derived, 2 times residual
residual design of 6-(38,11,92512) (# 18182)
residual design of supplementary of 6-(38,11,108864) (# 18184)
derived from 6-(38,12,416304) (# 18185)
derived from supplementary of 6-(38,12,489888) (# 18186)

# 18204: 5-(37,11,489888)

clan: 25-(56,28,2430), 1 times reduced t, 17 times derived, 2 times residual
residual design of supplementary of 6-(38,11,92512) (# 18182)
residual design of 6-(38,11,108864) (# 18184)
derived from supplementary of 6-(38,12,416304) (# 18185)
derived from 6-(38,12,489888) (# 18186)

# 18205: 5-(37,12,1546272)

clan: 25-(56,28,2065), 1 times reduced t, 16 times derived, 3 times residual
residual design of 6-(38,12,416304) (# 18185)
residual design of supplementary of 6-(38,12,489888) (# 18186)

# 18206: 5-(37,12,1819584)

clan: 25-(56,28,2430), 1 times reduced t, 16 times derived, 3 times residual
residual design of supplementary of 6-(38,12,416304) (# 18185)
residual design of 6-(38,12,489888) (# 18186)

# 18207: 8-(40,12,13280)

clan: 25-(56,28,1660), 1 times reduced t, 16 times derived
$PSL(4,3)$ (>= 1 isomorphism types)

# 18208: 7-(40,12,87648)

clan: 25-(56,28,1660), 2 times reduced t, 16 times derived
design 8-(40,12,13280) (# 18207) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,13280) (# 18209) : der= 7-(39,11,13280) and res= 7-(39,12,74368) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,74368) (# 18210) : der= 7-(39,11,13280) and res= 7-(39,12,74368) - the given design is the residual.

# 18209: 7-(39,11,13280)

clan: 25-(56,28,1660), 1 times reduced t, 17 times derived
derived from 8-(40,12,13280) (# 18207)

# 18210: 7-(39,12,74368)

clan: 25-(56,28,1660), 1 times reduced t, 16 times derived, 1 times residual
residual design of 8-(40,12,13280) (# 18207)

# 18211: 7-(40,12,149688)

clan: 25-(56,28,2835), 2 times reduced t, 16 times derived
supplementary design of 8-(40,12,13280) (# 18207) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,22680) (# 18212) : der= 7-(39,11,22680) and res= 7-(39,12,127008) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,127008) (# 18213) : der= 7-(39,11,22680) and res= 7-(39,12,127008) - the given design is the residual.

# 18212: 7-(39,11,22680)

clan: 25-(56,28,2835), 1 times reduced t, 17 times derived
derived from supplementary of 8-(40,12,13280) (# 18207)

# 18213: 7-(39,12,127008)

clan: 25-(56,28,2835), 1 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 8-(40,12,13280) (# 18207)

# 18214: 6-(40,12,496672)

clan: 25-(56,28,1660), 3 times reduced t, 16 times derived
design 7-(40,12,87648) (# 18208) with respect to smaller t
supplementary design of 7-(40,12,149688) (# 18211) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,87648) (# 18215) : der= 6-(39,11,87648) and res= 6-(39,12,409024) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,409024) (# 18216) : der= 6-(39,11,87648) and res= 6-(39,12,409024) - the given design is the residual.

# 18215: 6-(39,11,87648)

clan: 25-(56,28,1660), 2 times reduced t, 17 times derived
derived from 7-(40,12,87648) (# 18208)
design 7-(39,11,13280) (# 18209) with respect to smaller t
derived from supplementary of 7-(40,12,149688) (# 18211)
supplementary design of 7-(39,11,22680) (# 18212) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,13280) (# 18220) : der= 6-(38,10,13280) and res= 6-(38,11,74368) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,74368) (# 18221) : der= 6-(38,10,13280) and res= 6-(38,11,74368) - the given design is the residual.

# 18216: 6-(39,12,409024)

clan: 25-(56,28,1660), 2 times reduced t, 16 times derived, 1 times residual
residual design of 7-(40,12,87648) (# 18208)
design 7-(39,12,74368) (# 18210) with respect to smaller t
residual design of supplementary of 7-(40,12,149688) (# 18211)
supplementary design of 7-(39,12,127008) (# 18213) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,74368) (# 18221) : der= 6-(38,11,74368) and res= 6-(38,12,334656) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,334656) (# 18224) : der= 6-(38,11,74368) and res= 6-(38,12,334656) - the given design is the residual.

# 18217: 6-(40,12,848232)

clan: 25-(56,28,2835), 3 times reduced t, 16 times derived
supplementary design of 7-(40,12,87648) (# 18208) with respect to smaller t
design 7-(40,12,149688) (# 18211) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,149688) (# 18218) : der= 6-(39,11,149688) and res= 6-(39,12,698544) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,698544) (# 18219) : der= 6-(39,11,149688) and res= 6-(39,12,698544) - the given design is the residual.

# 18218: 6-(39,11,149688)

clan: 25-(56,28,2835), 2 times reduced t, 17 times derived
derived from supplementary of 7-(40,12,87648) (# 18208)
supplementary design of 7-(39,11,13280) (# 18209) with respect to smaller t
derived from 7-(40,12,149688) (# 18211)
design 7-(39,11,22680) (# 18212) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,22680) (# 18222) : der= 6-(38,10,22680) and res= 6-(38,11,127008) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,127008) (# 18223) : der= 6-(38,10,22680) and res= 6-(38,11,127008) - the given design is the residual.

# 18219: 6-(39,12,698544)

clan: 25-(56,28,2835), 2 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 7-(40,12,87648) (# 18208)
supplementary design of 7-(39,12,74368) (# 18210) with respect to smaller t
residual design of 7-(40,12,149688) (# 18211)
design 7-(39,12,127008) (# 18213) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,127008) (# 18223) : der= 6-(38,11,127008) and res= 6-(38,12,571536) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,571536) (# 18225) : der= 6-(38,11,127008) and res= 6-(38,12,571536) - the given design is the residual.

# 18220: 6-(38,10,13280)

clan: 25-(56,28,1660), 1 times reduced t, 18 times derived
derived from 7-(39,11,13280) (# 18209)
derived from supplementary of 7-(39,11,22680) (# 18212)

# 18221: 6-(38,11,74368)

clan: 25-(56,28,1660), 1 times reduced t, 17 times derived, 1 times residual
residual design of 7-(39,11,13280) (# 18209)
derived from 7-(39,12,74368) (# 18210)
residual design of supplementary of 7-(39,11,22680) (# 18212)
derived from supplementary of 7-(39,12,127008) (# 18213)

# 18222: 6-(38,10,22680)

clan: 25-(56,28,2835), 1 times reduced t, 18 times derived
derived from supplementary of 7-(39,11,13280) (# 18209)
derived from 7-(39,11,22680) (# 18212)

# 18223: 6-(38,11,127008)

clan: 25-(56,28,2835), 1 times reduced t, 17 times derived, 1 times residual
residual design of supplementary of 7-(39,11,13280) (# 18209)
derived from supplementary of 7-(39,12,74368) (# 18210)
residual design of 7-(39,11,22680) (# 18212)
derived from 7-(39,12,127008) (# 18213)

# 18224: 6-(38,12,334656)

clan: 25-(56,28,1660), 1 times reduced t, 16 times derived, 2 times residual
residual design of 7-(39,12,74368) (# 18210)
residual design of supplementary of 7-(39,12,127008) (# 18213)

# 18225: 6-(38,12,571536)

clan: 25-(56,28,2835), 1 times reduced t, 16 times derived, 2 times residual
residual design of supplementary of 7-(39,12,74368) (# 18210)
residual design of 7-(39,12,127008) (# 18213)

# 18226: 5-(40,12,2483360)

clan: 25-(56,28,1660), 4 times reduced t, 16 times derived
design 6-(40,12,496672) (# 18214) with respect to smaller t
supplementary design of 6-(40,12,848232) (# 18217) with respect to smaller t
Tran van Trung construction (right) for 5-(39,11,496672) (# 18227) : der= 5-(39,11,496672) and res= 5-(39,12,1986688) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,12,1986688) (# 18228) : der= 5-(39,11,496672) and res= 5-(39,12,1986688) - the given design is the residual.

# 18227: 5-(39,11,496672)

clan: 25-(56,28,1660), 3 times reduced t, 17 times derived
derived from 6-(40,12,496672) (# 18214)
design 6-(39,11,87648) (# 18215) with respect to smaller t
derived from supplementary of 6-(40,12,848232) (# 18217)
supplementary design of 6-(39,11,149688) (# 18218) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,87648) (# 18232) : der= 5-(38,10,87648) and res= 5-(38,11,409024) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,409024) (# 18233) : der= 5-(38,10,87648) and res= 5-(38,11,409024) - the given design is the residual.

# 18228: 5-(39,12,1986688)

clan: 25-(56,28,1660), 3 times reduced t, 16 times derived, 1 times residual
residual design of 6-(40,12,496672) (# 18214)
design 6-(39,12,409024) (# 18216) with respect to smaller t
residual design of supplementary of 6-(40,12,848232) (# 18217)
supplementary design of 6-(39,12,698544) (# 18219) with respect to smaller t
Tran van Trung construction (right) for 5-(38,11,409024) (# 18233) : der= 5-(38,11,409024) and res= 5-(38,12,1577664) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,12,1577664) (# 18236) : der= 5-(38,11,409024) and res= 5-(38,12,1577664) - the given design is the residual.

# 18229: 5-(40,12,4241160)

clan: 25-(56,28,2835), 4 times reduced t, 16 times derived
supplementary design of 6-(40,12,496672) (# 18214) with respect to smaller t
design 6-(40,12,848232) (# 18217) with respect to smaller t
Tran van Trung construction (right) for 5-(39,11,848232) (# 18230) : der= 5-(39,11,848232) and res= 5-(39,12,3392928) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,12,3392928) (# 18231) : der= 5-(39,11,848232) and res= 5-(39,12,3392928) - the given design is the residual.

# 18230: 5-(39,11,848232)

clan: 25-(56,28,2835), 3 times reduced t, 17 times derived
derived from supplementary of 6-(40,12,496672) (# 18214)
supplementary design of 6-(39,11,87648) (# 18215) with respect to smaller t
derived from 6-(40,12,848232) (# 18217)
design 6-(39,11,149688) (# 18218) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,149688) (# 18234) : der= 5-(38,10,149688) and res= 5-(38,11,698544) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,698544) (# 18235) : der= 5-(38,10,149688) and res= 5-(38,11,698544) - the given design is the residual.

# 18231: 5-(39,12,3392928)

clan: 25-(56,28,2835), 3 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 6-(40,12,496672) (# 18214)
supplementary design of 6-(39,12,409024) (# 18216) with respect to smaller t
residual design of 6-(40,12,848232) (# 18217)
design 6-(39,12,698544) (# 18219) with respect to smaller t
Tran van Trung construction (right) for 5-(38,11,698544) (# 18235) : der= 5-(38,11,698544) and res= 5-(38,12,2694384) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,12,2694384) (# 18237) : der= 5-(38,11,698544) and res= 5-(38,12,2694384) - the given design is the residual.

# 18232: 5-(38,10,87648)

clan: 25-(56,28,1660), 2 times reduced t, 18 times derived
derived from 6-(39,11,87648) (# 18215)
derived from supplementary of 6-(39,11,149688) (# 18218)
design 6-(38,10,13280) (# 18220) with respect to smaller t
supplementary design of 6-(38,10,22680) (# 18222) with respect to smaller t
Tran van Trung construction (right) for 5-(37,9,13280) (# 18238) : der= 5-(37,9,13280) and res= 5-(37,10,74368) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,10,74368) (# 18239) : der= 5-(37,9,13280) and res= 5-(37,10,74368) - the given design is the residual.

# 18233: 5-(38,11,409024)

clan: 25-(56,28,1660), 2 times reduced t, 17 times derived, 1 times residual
residual design of 6-(39,11,87648) (# 18215)
derived from 6-(39,12,409024) (# 18216)
residual design of supplementary of 6-(39,11,149688) (# 18218)
derived from supplementary of 6-(39,12,698544) (# 18219)
design 6-(38,11,74368) (# 18221) with respect to smaller t
supplementary design of 6-(38,11,127008) (# 18223) with respect to smaller t
Tran van Trung construction (right) for 5-(37,10,74368) (# 18239) : der= 5-(37,10,74368) and res= 5-(37,11,334656) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,11,334656) (# 18242) : der= 5-(37,10,74368) and res= 5-(37,11,334656) - the given design is the residual.

# 18234: 5-(38,10,149688)

clan: 25-(56,28,2835), 2 times reduced t, 18 times derived
derived from supplementary of 6-(39,11,87648) (# 18215)
derived from 6-(39,11,149688) (# 18218)
supplementary design of 6-(38,10,13280) (# 18220) with respect to smaller t
design 6-(38,10,22680) (# 18222) with respect to smaller t
Tran van Trung construction (right) for 5-(37,9,22680) (# 18240) : der= 5-(37,9,22680) and res= 5-(37,10,127008) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,10,127008) (# 18241) : der= 5-(37,9,22680) and res= 5-(37,10,127008) - the given design is the residual.

# 18235: 5-(38,11,698544)

clan: 25-(56,28,2835), 2 times reduced t, 17 times derived, 1 times residual
residual design of supplementary of 6-(39,11,87648) (# 18215)
derived from supplementary of 6-(39,12,409024) (# 18216)
residual design of 6-(39,11,149688) (# 18218)
derived from 6-(39,12,698544) (# 18219)
supplementary design of 6-(38,11,74368) (# 18221) with respect to smaller t
design 6-(38,11,127008) (# 18223) with respect to smaller t
Tran van Trung construction (right) for 5-(37,10,127008) (# 18241) : der= 5-(37,10,127008) and res= 5-(37,11,571536) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,11,571536) (# 18243) : der= 5-(37,10,127008) and res= 5-(37,11,571536) - the given design is the residual.

# 18236: 5-(38,12,1577664)

clan: 25-(56,28,1660), 2 times reduced t, 16 times derived, 2 times residual
residual design of 6-(39,12,409024) (# 18216)
residual design of supplementary of 6-(39,12,698544) (# 18219)
design 6-(38,12,334656) (# 18224) with respect to smaller t
supplementary design of 6-(38,12,571536) (# 18225) with respect to smaller t
Tran van Trung construction (right) for 5-(37,11,334656) (# 18242) : der= 5-(37,11,334656) and res= 5-(37,12,1243008) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,12,1243008) (# 18244) : der= 5-(37,11,334656) and res= 5-(37,12,1243008) - the given design is the residual.

# 18237: 5-(38,12,2694384)

clan: 25-(56,28,2835), 2 times reduced t, 16 times derived, 2 times residual
residual design of supplementary of 6-(39,12,409024) (# 18216)
residual design of 6-(39,12,698544) (# 18219)
supplementary design of 6-(38,12,334656) (# 18224) with respect to smaller t
design 6-(38,12,571536) (# 18225) with respect to smaller t
Tran van Trung construction (right) for 5-(37,11,571536) (# 18243) : der= 5-(37,11,571536) and res= 5-(37,12,2122848) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,12,2122848) (# 18245) : der= 5-(37,11,571536) and res= 5-(37,12,2122848) - the given design is the residual.

# 18238: 5-(37,9,13280)

clan: 25-(56,28,1660), 1 times reduced t, 19 times derived
derived from 6-(38,10,13280) (# 18220)
derived from supplementary of 6-(38,10,22680) (# 18222)

# 18239: 5-(37,10,74368)

clan: 25-(56,28,1660), 1 times reduced t, 18 times derived, 1 times residual
residual design of 6-(38,10,13280) (# 18220)
derived from 6-(38,11,74368) (# 18221)
residual design of supplementary of 6-(38,10,22680) (# 18222)
derived from supplementary of 6-(38,11,127008) (# 18223)

# 18240: 5-(37,9,22680)

clan: 25-(56,28,2835), 1 times reduced t, 19 times derived
derived from supplementary of 6-(38,10,13280) (# 18220)
derived from 6-(38,10,22680) (# 18222)

# 18241: 5-(37,10,127008)

clan: 25-(56,28,2835), 1 times reduced t, 18 times derived, 1 times residual
residual design of supplementary of 6-(38,10,13280) (# 18220)
derived from supplementary of 6-(38,11,74368) (# 18221)
residual design of 6-(38,10,22680) (# 18222)
derived from 6-(38,11,127008) (# 18223)

# 18242: 5-(37,11,334656)

clan: 25-(56,28,1660), 1 times reduced t, 17 times derived, 2 times residual
residual design of 6-(38,11,74368) (# 18221)
residual design of supplementary of 6-(38,11,127008) (# 18223)
derived from 6-(38,12,334656) (# 18224)
derived from supplementary of 6-(38,12,571536) (# 18225)

# 18243: 5-(37,11,571536)

clan: 25-(56,28,2835), 1 times reduced t, 17 times derived, 2 times residual
residual design of supplementary of 6-(38,11,74368) (# 18221)
residual design of 6-(38,11,127008) (# 18223)
derived from supplementary of 6-(38,12,334656) (# 18224)
derived from 6-(38,12,571536) (# 18225)

# 18244: 5-(37,12,1243008)

clan: 25-(56,28,1660), 1 times reduced t, 16 times derived, 3 times residual
residual design of 6-(38,12,334656) (# 18224)
residual design of supplementary of 6-(38,12,571536) (# 18225)

# 18245: 5-(37,12,2122848)

clan: 25-(56,28,2835), 1 times reduced t, 16 times derived, 3 times residual
residual design of supplementary of 6-(38,12,334656) (# 18224)
residual design of 6-(38,12,571536) (# 18225)

# 18246: 8-(40,12,12960)

clan: 25-(56,28,1620), 1 times reduced t, 16 times derived
$PSL(4,3)$ (>= 1 isomorphism types)

# 18247: 7-(40,12,85536)

clan: 25-(56,28,1620), 2 times reduced t, 16 times derived
design 8-(40,12,12960) (# 18246) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,12960) (# 18248) : der= 7-(39,11,12960) and res= 7-(39,12,72576) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,72576) (# 18249) : der= 7-(39,11,12960) and res= 7-(39,12,72576) - the given design is the residual.

# 18248: 7-(39,11,12960)

clan: 25-(56,28,1620), 1 times reduced t, 17 times derived
derived from 8-(40,12,12960) (# 18246)

# 18249: 7-(39,12,72576)

clan: 25-(56,28,1620), 1 times reduced t, 16 times derived, 1 times residual
residual design of 8-(40,12,12960) (# 18246)

# 18250: 7-(40,12,151800)

clan: 25-(56,28,2875), 2 times reduced t, 16 times derived
supplementary design of 8-(40,12,12960) (# 18246) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,23000) (# 18251) : der= 7-(39,11,23000) and res= 7-(39,12,128800) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,128800) (# 18252) : der= 7-(39,11,23000) and res= 7-(39,12,128800) - the given design is the residual.

# 18251: 7-(39,11,23000)

clan: 25-(56,28,2875), 1 times reduced t, 17 times derived
derived from supplementary of 8-(40,12,12960) (# 18246)

# 18252: 7-(39,12,128800)

clan: 25-(56,28,2875), 1 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 8-(40,12,12960) (# 18246)

# 18253: 6-(40,12,484704)

clan: 25-(56,28,1620), 3 times reduced t, 16 times derived
design 7-(40,12,85536) (# 18247) with respect to smaller t
supplementary design of 7-(40,12,151800) (# 18250) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,85536) (# 18254) : der= 6-(39,11,85536) and res= 6-(39,12,399168) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,399168) (# 18255) : der= 6-(39,11,85536) and res= 6-(39,12,399168) - the given design is the residual.

# 18254: 6-(39,11,85536)

clan: 25-(56,28,1620), 2 times reduced t, 17 times derived
derived from 7-(40,12,85536) (# 18247)
design 7-(39,11,12960) (# 18248) with respect to smaller t
derived from supplementary of 7-(40,12,151800) (# 18250)
supplementary design of 7-(39,11,23000) (# 18251) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,12960) (# 18259) : der= 6-(38,10,12960) and res= 6-(38,11,72576) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,72576) (# 18260) : der= 6-(38,10,12960) and res= 6-(38,11,72576) - the given design is the residual.

# 18255: 6-(39,12,399168)

clan: 25-(56,28,1620), 2 times reduced t, 16 times derived, 1 times residual
residual design of 7-(40,12,85536) (# 18247)
design 7-(39,12,72576) (# 18249) with respect to smaller t
residual design of supplementary of 7-(40,12,151800) (# 18250)
supplementary design of 7-(39,12,128800) (# 18252) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,72576) (# 18260) : der= 6-(38,11,72576) and res= 6-(38,12,326592) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,326592) (# 18263) : der= 6-(38,11,72576) and res= 6-(38,12,326592) - the given design is the residual.

# 18256: 6-(40,12,860200)

clan: 25-(56,28,2875), 3 times reduced t, 16 times derived
supplementary design of 7-(40,12,85536) (# 18247) with respect to smaller t
design 7-(40,12,151800) (# 18250) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,151800) (# 18257) : der= 6-(39,11,151800) and res= 6-(39,12,708400) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,708400) (# 18258) : der= 6-(39,11,151800) and res= 6-(39,12,708400) - the given design is the residual.

# 18257: 6-(39,11,151800)

clan: 25-(56,28,2875), 2 times reduced t, 17 times derived
derived from supplementary of 7-(40,12,85536) (# 18247)
supplementary design of 7-(39,11,12960) (# 18248) with respect to smaller t
derived from 7-(40,12,151800) (# 18250)
design 7-(39,11,23000) (# 18251) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,23000) (# 18261) : der= 6-(38,10,23000) and res= 6-(38,11,128800) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,128800) (# 18262) : der= 6-(38,10,23000) and res= 6-(38,11,128800) - the given design is the residual.

# 18258: 6-(39,12,708400)

clan: 25-(56,28,2875), 2 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 7-(40,12,85536) (# 18247)
supplementary design of 7-(39,12,72576) (# 18249) with respect to smaller t
residual design of 7-(40,12,151800) (# 18250)
design 7-(39,12,128800) (# 18252) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,128800) (# 18262) : der= 6-(38,11,128800) and res= 6-(38,12,579600) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,579600) (# 18264) : der= 6-(38,11,128800) and res= 6-(38,12,579600) - the given design is the residual.

# 18259: 6-(38,10,12960)

clan: 25-(56,28,1620), 1 times reduced t, 18 times derived
derived from 7-(39,11,12960) (# 18248)
derived from supplementary of 7-(39,11,23000) (# 18251)

# 18260: 6-(38,11,72576)

clan: 25-(56,28,1620), 1 times reduced t, 17 times derived, 1 times residual
residual design of 7-(39,11,12960) (# 18248)
derived from 7-(39,12,72576) (# 18249)
residual design of supplementary of 7-(39,11,23000) (# 18251)
derived from supplementary of 7-(39,12,128800) (# 18252)

# 18261: 6-(38,10,23000)

clan: 25-(56,28,2875), 1 times reduced t, 18 times derived
derived from supplementary of 7-(39,11,12960) (# 18248)
derived from 7-(39,11,23000) (# 18251)

# 18262: 6-(38,11,128800)

clan: 25-(56,28,2875), 1 times reduced t, 17 times derived, 1 times residual
residual design of supplementary of 7-(39,11,12960) (# 18248)
derived from supplementary of 7-(39,12,72576) (# 18249)
residual design of 7-(39,11,23000) (# 18251)
derived from 7-(39,12,128800) (# 18252)

# 18263: 6-(38,12,326592)

clan: 25-(56,28,1620), 1 times reduced t, 16 times derived, 2 times residual
residual design of 7-(39,12,72576) (# 18249)
residual design of supplementary of 7-(39,12,128800) (# 18252)

# 18264: 6-(38,12,579600)

clan: 25-(56,28,2875), 1 times reduced t, 16 times derived, 2 times residual
residual design of supplementary of 7-(39,12,72576) (# 18249)
residual design of 7-(39,12,128800) (# 18252)

# 18265: 5-(40,12,2423520)

clan: 25-(56,28,1620), 4 times reduced t, 16 times derived
design 6-(40,12,484704) (# 18253) with respect to smaller t
supplementary design of 6-(40,12,860200) (# 18256) with respect to smaller t
Tran van Trung construction (right) for 5-(39,11,484704) (# 18266) : der= 5-(39,11,484704) and res= 5-(39,12,1938816) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,12,1938816) (# 18267) : der= 5-(39,11,484704) and res= 5-(39,12,1938816) - the given design is the residual.

# 18266: 5-(39,11,484704)

clan: 25-(56,28,1620), 3 times reduced t, 17 times derived
derived from 6-(40,12,484704) (# 18253)
design 6-(39,11,85536) (# 18254) with respect to smaller t
derived from supplementary of 6-(40,12,860200) (# 18256)
supplementary design of 6-(39,11,151800) (# 18257) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,85536) (# 18271) : der= 5-(38,10,85536) and res= 5-(38,11,399168) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,399168) (# 18272) : der= 5-(38,10,85536) and res= 5-(38,11,399168) - the given design is the residual.

# 18267: 5-(39,12,1938816)

clan: 25-(56,28,1620), 3 times reduced t, 16 times derived, 1 times residual
residual design of 6-(40,12,484704) (# 18253)
design 6-(39,12,399168) (# 18255) with respect to smaller t
residual design of supplementary of 6-(40,12,860200) (# 18256)
supplementary design of 6-(39,12,708400) (# 18258) with respect to smaller t
Tran van Trung construction (right) for 5-(38,11,399168) (# 18272) : der= 5-(38,11,399168) and res= 5-(38,12,1539648) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,12,1539648) (# 18275) : der= 5-(38,11,399168) and res= 5-(38,12,1539648) - the given design is the residual.

# 18268: 5-(40,12,4301000)

clan: 25-(56,28,2875), 4 times reduced t, 16 times derived
supplementary design of 6-(40,12,484704) (# 18253) with respect to smaller t
design 6-(40,12,860200) (# 18256) with respect to smaller t
Tran van Trung construction (right) for 5-(39,11,860200) (# 18269) : der= 5-(39,11,860200) and res= 5-(39,12,3440800) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,12,3440800) (# 18270) : der= 5-(39,11,860200) and res= 5-(39,12,3440800) - the given design is the residual.

# 18269: 5-(39,11,860200)

clan: 25-(56,28,2875), 3 times reduced t, 17 times derived
derived from supplementary of 6-(40,12,484704) (# 18253)
supplementary design of 6-(39,11,85536) (# 18254) with respect to smaller t
derived from 6-(40,12,860200) (# 18256)
design 6-(39,11,151800) (# 18257) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,151800) (# 18273) : der= 5-(38,10,151800) and res= 5-(38,11,708400) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,708400) (# 18274) : der= 5-(38,10,151800) and res= 5-(38,11,708400) - the given design is the residual.

# 18270: 5-(39,12,3440800)

clan: 25-(56,28,2875), 3 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 6-(40,12,484704) (# 18253)
supplementary design of 6-(39,12,399168) (# 18255) with respect to smaller t
residual design of 6-(40,12,860200) (# 18256)
design 6-(39,12,708400) (# 18258) with respect to smaller t
Tran van Trung construction (right) for 5-(38,11,708400) (# 18274) : der= 5-(38,11,708400) and res= 5-(38,12,2732400) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,12,2732400) (# 18276) : der= 5-(38,11,708400) and res= 5-(38,12,2732400) - the given design is the residual.

# 18271: 5-(38,10,85536)

clan: 25-(56,28,1620), 2 times reduced t, 18 times derived
derived from 6-(39,11,85536) (# 18254)
derived from supplementary of 6-(39,11,151800) (# 18257)
design 6-(38,10,12960) (# 18259) with respect to smaller t
supplementary design of 6-(38,10,23000) (# 18261) with respect to smaller t
Tran van Trung construction (right) for 5-(37,9,12960) (# 18277) : der= 5-(37,9,12960) and res= 5-(37,10,72576) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,10,72576) (# 18278) : der= 5-(37,9,12960) and res= 5-(37,10,72576) - the given design is the residual.

# 18272: 5-(38,11,399168)

clan: 25-(56,28,1620), 2 times reduced t, 17 times derived, 1 times residual
residual design of 6-(39,11,85536) (# 18254)
derived from 6-(39,12,399168) (# 18255)
residual design of supplementary of 6-(39,11,151800) (# 18257)
derived from supplementary of 6-(39,12,708400) (# 18258)
design 6-(38,11,72576) (# 18260) with respect to smaller t
supplementary design of 6-(38,11,128800) (# 18262) with respect to smaller t
Tran van Trung construction (right) for 5-(37,10,72576) (# 18278) : der= 5-(37,10,72576) and res= 5-(37,11,326592) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,11,326592) (# 18281) : der= 5-(37,10,72576) and res= 5-(37,11,326592) - the given design is the residual.

# 18273: 5-(38,10,151800)

clan: 25-(56,28,2875), 2 times reduced t, 18 times derived
derived from supplementary of 6-(39,11,85536) (# 18254)
derived from 6-(39,11,151800) (# 18257)
supplementary design of 6-(38,10,12960) (# 18259) with respect to smaller t
design 6-(38,10,23000) (# 18261) with respect to smaller t
Tran van Trung construction (right) for 5-(37,9,23000) (# 18279) : der= 5-(37,9,23000) and res= 5-(37,10,128800) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,10,128800) (# 18280) : der= 5-(37,9,23000) and res= 5-(37,10,128800) - the given design is the residual.

# 18274: 5-(38,11,708400)

clan: 25-(56,28,2875), 2 times reduced t, 17 times derived, 1 times residual
residual design of supplementary of 6-(39,11,85536) (# 18254)
derived from supplementary of 6-(39,12,399168) (# 18255)
residual design of 6-(39,11,151800) (# 18257)
derived from 6-(39,12,708400) (# 18258)
supplementary design of 6-(38,11,72576) (# 18260) with respect to smaller t
design 6-(38,11,128800) (# 18262) with respect to smaller t
Tran van Trung construction (right) for 5-(37,10,128800) (# 18280) : der= 5-(37,10,128800) and res= 5-(37,11,579600) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,11,579600) (# 18282) : der= 5-(37,10,128800) and res= 5-(37,11,579600) - the given design is the residual.

# 18275: 5-(38,12,1539648)

clan: 25-(56,28,1620), 2 times reduced t, 16 times derived, 2 times residual
residual design of 6-(39,12,399168) (# 18255)
residual design of supplementary of 6-(39,12,708400) (# 18258)
design 6-(38,12,326592) (# 18263) with respect to smaller t
supplementary design of 6-(38,12,579600) (# 18264) with respect to smaller t
Tran van Trung construction (right) for 5-(37,11,326592) (# 18281) : der= 5-(37,11,326592) and res= 5-(37,12,1213056) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,12,1213056) (# 18283) : der= 5-(37,11,326592) and res= 5-(37,12,1213056) - the given design is the residual.

# 18276: 5-(38,12,2732400)

clan: 25-(56,28,2875), 2 times reduced t, 16 times derived, 2 times residual
residual design of supplementary of 6-(39,12,399168) (# 18255)
residual design of 6-(39,12,708400) (# 18258)
supplementary design of 6-(38,12,326592) (# 18263) with respect to smaller t
design 6-(38,12,579600) (# 18264) with respect to smaller t
Tran van Trung construction (right) for 5-(37,11,579600) (# 18282) : der= 5-(37,11,579600) and res= 5-(37,12,2152800) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,12,2152800) (# 18284) : der= 5-(37,11,579600) and res= 5-(37,12,2152800) - the given design is the residual.

# 18277: 5-(37,9,12960)

clan: 25-(56,28,1620), 1 times reduced t, 19 times derived
derived from 6-(38,10,12960) (# 18259)
derived from supplementary of 6-(38,10,23000) (# 18261)

# 18278: 5-(37,10,72576)

clan: 25-(56,28,1620), 1 times reduced t, 18 times derived, 1 times residual
residual design of 6-(38,10,12960) (# 18259)
derived from 6-(38,11,72576) (# 18260)
residual design of supplementary of 6-(38,10,23000) (# 18261)
derived from supplementary of 6-(38,11,128800) (# 18262)

# 18279: 5-(37,9,23000)

clan: 25-(56,28,2875), 1 times reduced t, 19 times derived
derived from supplementary of 6-(38,10,12960) (# 18259)
derived from 6-(38,10,23000) (# 18261)

# 18280: 5-(37,10,128800)

clan: 25-(56,28,2875), 1 times reduced t, 18 times derived, 1 times residual
residual design of supplementary of 6-(38,10,12960) (# 18259)
derived from supplementary of 6-(38,11,72576) (# 18260)
residual design of 6-(38,10,23000) (# 18261)
derived from 6-(38,11,128800) (# 18262)

# 18281: 5-(37,11,326592)

clan: 25-(56,28,1620), 1 times reduced t, 17 times derived, 2 times residual
residual design of 6-(38,11,72576) (# 18260)
residual design of supplementary of 6-(38,11,128800) (# 18262)
derived from 6-(38,12,326592) (# 18263)
derived from supplementary of 6-(38,12,579600) (# 18264)

# 18282: 5-(37,11,579600)

clan: 25-(56,28,2875), 1 times reduced t, 17 times derived, 2 times residual
residual design of supplementary of 6-(38,11,72576) (# 18260)
residual design of 6-(38,11,128800) (# 18262)
derived from supplementary of 6-(38,12,326592) (# 18263)
derived from 6-(38,12,579600) (# 18264)

# 18283: 5-(37,12,1213056)

clan: 25-(56,28,1620), 1 times reduced t, 16 times derived, 3 times residual
residual design of 6-(38,12,326592) (# 18263)
residual design of supplementary of 6-(38,12,579600) (# 18264)

# 18284: 5-(37,12,2152800)

clan: 25-(56,28,2875), 1 times reduced t, 16 times derived, 3 times residual
residual design of supplementary of 6-(38,12,326592) (# 18263)
residual design of 6-(38,12,579600) (# 18264)

# 18285: 8-(40,12,10040)

clan: 25-(56,28,1255), 1 times reduced t, 16 times derived
$PSL(4,3)$ (>= 1 isomorphism types)

# 18286: 7-(40,12,66264)

clan: 25-(56,28,1255), 2 times reduced t, 16 times derived
design 8-(40,12,10040) (# 18285) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,10040) (# 18287) : der= 7-(39,11,10040) and res= 7-(39,12,56224) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,56224) (# 18288) : der= 7-(39,11,10040) and res= 7-(39,12,56224) - the given design is the residual.

# 18287: 7-(39,11,10040)

clan: 25-(56,28,1255), 1 times reduced t, 17 times derived
derived from 8-(40,12,10040) (# 18285)

# 18288: 7-(39,12,56224)

clan: 25-(56,28,1255), 1 times reduced t, 16 times derived, 1 times residual
residual design of 8-(40,12,10040) (# 18285)

# 18289: 7-(40,12,171072)

clan: 25-(56,28,3240), 2 times reduced t, 16 times derived
supplementary design of 8-(40,12,10040) (# 18285) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,25920) (# 18290) : der= 7-(39,11,25920) and res= 7-(39,12,145152) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,145152) (# 18291) : der= 7-(39,11,25920) and res= 7-(39,12,145152) - the given design is the residual.

# 18290: 7-(39,11,25920)

clan: 25-(56,28,3240), 1 times reduced t, 17 times derived
derived from supplementary of 8-(40,12,10040) (# 18285)

# 18291: 7-(39,12,145152)

clan: 25-(56,28,3240), 1 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 8-(40,12,10040) (# 18285)

# 18292: 6-(40,12,375496)

clan: 25-(56,28,1255), 3 times reduced t, 16 times derived
design 7-(40,12,66264) (# 18286) with respect to smaller t
supplementary design of 7-(40,12,171072) (# 18289) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,66264) (# 18293) : der= 6-(39,11,66264) and res= 6-(39,12,309232) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,309232) (# 18294) : der= 6-(39,11,66264) and res= 6-(39,12,309232) - the given design is the residual.

# 18293: 6-(39,11,66264)

clan: 25-(56,28,1255), 2 times reduced t, 17 times derived
derived from 7-(40,12,66264) (# 18286)
design 7-(39,11,10040) (# 18287) with respect to smaller t
derived from supplementary of 7-(40,12,171072) (# 18289)
supplementary design of 7-(39,11,25920) (# 18290) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,10040) (# 18298) : der= 6-(38,10,10040) and res= 6-(38,11,56224) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,56224) (# 18299) : der= 6-(38,10,10040) and res= 6-(38,11,56224) - the given design is the residual.

# 18294: 6-(39,12,309232)

clan: 25-(56,28,1255), 2 times reduced t, 16 times derived, 1 times residual
residual design of 7-(40,12,66264) (# 18286)
design 7-(39,12,56224) (# 18288) with respect to smaller t
residual design of supplementary of 7-(40,12,171072) (# 18289)
supplementary design of 7-(39,12,145152) (# 18291) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,56224) (# 18299) : der= 6-(38,11,56224) and res= 6-(38,12,253008) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,253008) (# 18302) : der= 6-(38,11,56224) and res= 6-(38,12,253008) - the given design is the residual.

# 18295: 6-(40,12,969408)

clan: 25-(56,28,3240), 3 times reduced t, 16 times derived
supplementary design of 7-(40,12,66264) (# 18286) with respect to smaller t
design 7-(40,12,171072) (# 18289) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,171072) (# 18296) : der= 6-(39,11,171072) and res= 6-(39,12,798336) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,798336) (# 18297) : der= 6-(39,11,171072) and res= 6-(39,12,798336) - the given design is the residual.

# 18296: 6-(39,11,171072)

clan: 25-(56,28,3240), 2 times reduced t, 17 times derived
derived from supplementary of 7-(40,12,66264) (# 18286)
supplementary design of 7-(39,11,10040) (# 18287) with respect to smaller t
derived from 7-(40,12,171072) (# 18289)
design 7-(39,11,25920) (# 18290) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,25920) (# 18300) : der= 6-(38,10,25920) and res= 6-(38,11,145152) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,145152) (# 18301) : der= 6-(38,10,25920) and res= 6-(38,11,145152) - the given design is the residual.

# 18297: 6-(39,12,798336)

clan: 25-(56,28,3240), 2 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 7-(40,12,66264) (# 18286)
supplementary design of 7-(39,12,56224) (# 18288) with respect to smaller t
residual design of 7-(40,12,171072) (# 18289)
design 7-(39,12,145152) (# 18291) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,145152) (# 18301) : der= 6-(38,11,145152) and res= 6-(38,12,653184) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,653184) (# 18303) : der= 6-(38,11,145152) and res= 6-(38,12,653184) - the given design is the residual.

# 18298: 6-(38,10,10040)

clan: 25-(56,28,1255), 1 times reduced t, 18 times derived
derived from 7-(39,11,10040) (# 18287)
derived from supplementary of 7-(39,11,25920) (# 18290)

# 18299: 6-(38,11,56224)

clan: 25-(56,28,1255), 1 times reduced t, 17 times derived, 1 times residual
residual design of 7-(39,11,10040) (# 18287)
derived from 7-(39,12,56224) (# 18288)
residual design of supplementary of 7-(39,11,25920) (# 18290)
derived from supplementary of 7-(39,12,145152) (# 18291)

created: Fri Oct 23 11:15:20 CEST 2009