# 1200: 5-(25,12,36480)

- clan: 15-(32,16,8), 3 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,12768) (# 1198) : der= 5-(24,11,12768) and res= 5-(24,12,23712) - the given design is the derived.
- design 6-(25,12,12768) (# 9651) with respect to smaller t
- derived from 6-(26,13,36480) (# 9656)
- derived from supplementary of 6-(26,13,41040) (# 9664)
- supplementary design of 6-(25,12,14364) (# 9665) with respect to smaller t
- residual design of 6-(26,12,18240) (# 13179)
- residual design of supplementary of 6-(26,12,20520) (# 13185)

- clan: 15-(32,16,8), 4 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(25,11,18240) (# 1199) : der= 5-(25,11,18240) and res= 5-(25,12,36480) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,12,36480) (# 1200) : der= 5-(25,11,18240) and res= 5-(25,12,36480) - the given design is the residual.
- design 6-(26,12,18240) (# 13179) with respect to smaller t
- derived from 6-(27,13,54720) (# 13184)
- supplementary design of 6-(26,12,20520) (# 13185) with respect to smaller t
- derived from supplementary of 6-(27,13,61560) (# 13190)
- residual design of 6-(27,12,25536) (# 13399)
- residual design of supplementary of 6-(27,12,28728) (# 13401)

- clan: 15-(32,16,8), 4 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(25,12,36480) (# 1200)
- design 6-(26,13,36480) (# 9656) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,13,59280) (# 9661) : der= 5-(25,12,36480) and res= 5-(25,13,59280) - the given design is the residual.
- supplementary design of 6-(26,13,41040) (# 9664) with respect to smaller t
- residual design of 6-(27,13,54720) (# 13184)
- residual design of supplementary of 6-(27,13,61560) (# 13190)
- derived from 6-(27,14,95760) (# 13196)
- derived from supplementary of 6-(27,14,107730) (# 13198)

- clan: 15-(32,16,8), 5 times reduced t, 3 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(26,12,54720) (# 1201) : der= 5-(26,12,54720) and res= 5-(26,13,95760) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,13,95760) (# 1202) : der= 5-(26,12,54720) and res= 5-(26,13,95760) - the given design is the residual.
- design 6-(27,13,54720) (# 13184) with respect to smaller t
- derived from 6-(28,14,150480) (# 13188)
- supplementary design of 6-(27,13,61560) (# 13190) with respect to smaller t
- derived from supplementary of 6-(28,14,169290) (# 13197)
- residual design of 6-(28,13,80256) (# 13403)
- residual design of supplementary of 6-(28,13,90288) (# 13405)

- clan: 15-(32,16,8), 6 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(27,13,150480) (# 1203)
- design 6-(28,14,150480) (# 13188) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,14,234080) (# 13194) : der= 5-(27,13,150480) and res= 5-(27,14,234080) - the given design is the residual.
- supplementary design of 6-(28,14,169290) (# 13197) with respect to smaller t
- residual design of 6-(29,14,230736) (# 13407)
- residual design of supplementary of 6-(29,14,259578) (# 13409)
- derived from 6-(29,15,384560) (# 13419)
- derived from supplementary of 6-(29,15,432630) (# 13420)

- clan: 13-(30,15,12), 6 times derived, 2 times residual
- \cite{Kreher95} $PSL(2,19)++$

- clan: 13-(30,15,12), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,9,210) (# 1205) : der= 5-(22,8,60) and res= 5-(22,9,210) - the given design is the residual.

- clan: 13-(30,15,12), 1 times reduced t, 5 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(22,9,210) (# 1205) : der= 5-(22,9,210) and res= 5-(22,10,546) - the given design is the derived.
- $PSL(2,19) + C_3$

- clan: 13-(30,15,12), 2 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(23,9,270) (# 1206) : der= 5-(23,9,270) and res= 5-(23,10,756) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,10,756) (# 1207) : der= 5-(23,9,270) and res= 5-(23,10,756) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(30,15,12), 2 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(23,10,756) (# 1207) : der= 5-(23,10,756) and res= 5-(23,11,1638) - the given design is the derived.

- clan: 13-(30,15,12), 3 times reduced t, 4 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,10,1026) (# 1208) : der= 5-(24,10,1026) and res= 5-(24,11,2394) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,2394) (# 1209) : der= 5-(24,10,1026) and res= 5-(24,11,2394) - the given design is the residual.

- clan: 13-(30,15,12), 3 times reduced t, 3 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(24,11,2394) (# 1209) : der= 5-(24,11,2394) and res= 5-(24,12,4446) - the given design is the derived.

- clan: 13-(30,15,12), 4 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(25,11,3420) (# 1210) : der= 5-(25,11,3420) and res= 5-(25,12,6840) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,12,6840) (# 1211) : der= 5-(25,11,3420) and res= 5-(25,12,6840) - the given design is the residual.

- clan: 13-(30,15,12), 4 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(25,12,6840) (# 1211)

- clan: 13-(30,15,12), 5 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,12,10260) (# 1212) : der= 5-(26,12,10260) and res= 5-(26,13,17955) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,13,17955) (# 1213) : der= 5-(26,12,10260) and res= 5-(26,13,17955) - the given design is the residual.

- clan: 13-(30,15,12), 6 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(27,13,28215) (# 1214)

- clan: 15-(32,16,2), 7 times derived, 3 times residual
- $PSL(2,19)++$

- clan: 15-(32,16,2), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,280) (# 1216) : der= 5-(22,8,80) and res= 5-(22,9,280) - the given design is the residual.

- clan: 15-(32,16,2), 1 times reduced t, 6 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(22,9,280) (# 1216) : der= 5-(22,9,280) and res= 5-(22,10,728) - the given design is the derived.
- $PSL(2,19) + C_3$
- TvT: 5-(22,9,280) $\cup$ 5-(22,10,728)

- clan: 15-(32,16,2), 2 times reduced t, 7 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(23,9,360) (# 1217) : der= 5-(23,8,96) and res= 5-(23,9,360) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
- TvT: 5-(23,8,96) $\cup$ 5-(23,9,360)

- clan: 15-(32,16,2), 2 times reduced t, 6 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(23,9,360) (# 1217) : der= 5-(23,9,360) and res= 5-(23,10,1008) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,10,1008) (# 1218) : der= 5-(23,9,360) and res= 5-(23,10,1008) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 15-(32,16,2), 2 times reduced t, 5 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(23,10,1008) (# 1218) : der= 5-(23,10,1008) and res= 5-(23,11,2184) - the given design is the derived.

- clan: 15-(32,16,2), 3 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,456) (# 1219) : der= 5-(24,9,456) and res= 5-(24,10,1368) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,10,1368) (# 1220) : der= 5-(24,9,456) and res= 5-(24,10,1368) - the given design is the residual.
- residual design of 6-(26,10,570) (# 10533)

- clan: 15-(32,16,2), 3 times reduced t, 5 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(24,10,1368) (# 1220) : der= 5-(24,10,1368) and res= 5-(24,11,3192) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,3192) (# 1221) : der= 5-(24,10,1368) and res= 5-(24,11,3192) - the given design is the residual.
- derived from 6-(26,12,4560) (# 15069)
- derived from supplementary of 6-(26,12,34200) (# 15073)

- clan: 15-(32,16,2), 3 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,3192) (# 1221) : der= 5-(24,11,3192) and res= 5-(24,12,5928) - the given design is the derived.
- residual design of 6-(26,12,4560) (# 15069)
- derived from 6-(26,13,9120) (# 15070)
- residual design of supplementary of 6-(26,12,34200) (# 15073)
- derived from supplementary of 6-(26,13,68400) (# 15074)

- clan: 15-(32,16,2), 4 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(25,10,1824) (# 1222) : der= 5-(25,10,1824) and res= 5-(25,11,4560) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,11,4560) (# 1223) : der= 5-(25,10,1824) and res= 5-(25,11,4560) - the given design is the residual.

- clan: 15-(32,16,2), 4 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(25,11,4560) (# 1223) : der= 5-(25,11,4560) and res= 5-(25,12,9120) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,12,9120) (# 1224) : der= 5-(25,11,4560) and res= 5-(25,12,9120) - the given design is the residual.
- derived from 6-(27,13,13680) (# 15068)
- design 6-(26,12,4560) (# 15069) with respect to smaller t
- derived from supplementary of 6-(27,13,102600) (# 15072)
- supplementary design of 6-(26,12,34200) (# 15073) with respect to smaller t

- clan: 15-(32,16,2), 4 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(25,12,9120) (# 1224)
- residual design of 6-(27,13,13680) (# 15068)
- design 6-(26,13,9120) (# 15070) with respect to smaller t
- residual design of supplementary of 6-(27,13,102600) (# 15072)
- supplementary design of 6-(26,13,68400) (# 15074) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,13,14820) (# 15081) : der= 5-(25,12,9120) and res= 5-(25,13,14820) - the given design is the residual.
- derived from 6-(27,14,23940) (# 15083)
- derived from supplementary of 6-(27,14,179550) (# 15085)

- clan: 15-(32,16,2), 5 times reduced t, 4 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,11,6384) (# 1225) : der= 5-(26,11,6384) and res= 5-(26,12,13680) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,12,13680) (# 1226) : der= 5-(26,11,6384) and res= 5-(26,12,13680) - the given design is the residual.

- clan: 15-(32,16,2), 5 times reduced t, 3 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(26,12,13680) (# 1226) : der= 5-(26,12,13680) and res= 5-(26,13,23940) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,13,23940) (# 1227) : der= 5-(26,12,13680) and res= 5-(26,13,23940) - the given design is the residual.
- design 6-(27,13,13680) (# 15068) with respect to smaller t
- supplementary design of 6-(27,13,102600) (# 15072) with respect to smaller t
- derived from 6-(28,14,37620) (# 15075)
- derived from supplementary of 6-(28,14,282150) (# 15084)

- clan: 15-(32,16,2), 6 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(27,12,20064) (# 1228) : der= 5-(27,12,20064) and res= 5-(27,13,37620) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,13,37620) (# 1229) : der= 5-(27,12,20064) and res= 5-(27,13,37620) - the given design is the residual.

- clan: 15-(32,16,2), 6 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(27,13,37620) (# 1229)
- design 6-(28,14,37620) (# 15075) with respect to smaller t
- supplementary design of 6-(28,14,282150) (# 15084) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,14,58520) (# 15087) : der= 5-(27,13,37620) and res= 5-(27,14,58520) - the given design is the residual.

- clan: 15-(32,16,2), 7 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(28,13,57684) (# 1230) : der= 5-(28,13,57684) and res= 5-(28,14,96140) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,14,96140) (# 1231) : der= 5-(28,13,57684) and res= 5-(28,14,96140) - the given design is the residual.

- clan: 15-(32,16,2), 8 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(29,14,153824) (# 1232)

- clan: 15-(32,16,3), 7 times derived, 3 times residual
- $PSL(2,19)++$
- derived from 6-(23,10,420) (# 8775)

- clan: 15-(32,16,3), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,420) (# 1234) : der= 5-(22,8,120) and res= 5-(22,9,420) - the given design is the residual.

- clan: 15-(32,16,3), 1 times reduced t, 6 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(22,9,420) (# 1234) : der= 5-(22,9,420) and res= 5-(22,10,1092) - the given design is the derived.
- $PSL(2,19) + C_3$
- design 6-(23,10,420) (# 8775) with respect to smaller t
- derived from 6-(24,11,1512) (# 8858)

- clan: 15-(32,16,3), 2 times reduced t, 6 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(23,9,540) (# 1235) : der= 5-(23,9,540) and res= 5-(23,10,1512) - the given design is the derived.
- Tran van Trung construction (left) for 5-(23,10,1512) (# 1236) : der= 5-(23,9,540) and res= 5-(23,10,1512) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 15-(32,16,3), 2 times reduced t, 5 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(23,10,1512) (# 1236) : der= 5-(23,10,1512) and res= 5-(23,11,3276) - the given design is the derived.
- design 6-(24,11,1512) (# 8858) with respect to smaller t
- derived from 6-(25,12,4788) (# 8862)
- derived from supplementary of 6-(25,12,22344) (# 8879)

- clan: 15-(32,16,3), 3 times reduced t, 5 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(24,10,2052) (# 1237) : der= 5-(24,10,2052) and res= 5-(24,11,4788) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,4788) (# 1238) : der= 5-(24,10,2052) and res= 5-(24,11,4788) - the given design is the residual.

- clan: 15-(32,16,3), 3 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,4788) (# 1238) : der= 5-(24,11,4788) and res= 5-(24,12,8892) - the given design is the derived.
- design 6-(25,12,4788) (# 8862) with respect to smaller t
- derived from 6-(26,13,13680) (# 8869)
- derived from supplementary of 6-(26,13,63840) (# 8878)
- supplementary design of 6-(25,12,22344) (# 8879) with respect to smaller t

- clan: 15-(32,16,3), 4 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(25,11,6840) (# 1239) : der= 5-(25,11,6840) and res= 5-(25,12,13680) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,12,13680) (# 1240) : der= 5-(25,11,6840) and res= 5-(25,12,13680) - the given design is the residual.

- clan: 15-(32,16,3), 4 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(25,12,13680) (# 1240)
- design 6-(26,13,13680) (# 8869) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,13,22230) (# 8875) : der= 5-(25,12,13680) and res= 5-(25,13,22230) - the given design is the residual.
- supplementary design of 6-(26,13,63840) (# 8878) with respect to smaller t

- clan: 15-(32,16,3), 5 times reduced t, 3 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(26,12,20520) (# 1241) : der= 5-(26,12,20520) and res= 5-(26,13,35910) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,13,35910) (# 1242) : der= 5-(26,12,20520) and res= 5-(26,13,35910) - the given design is the residual.

- clan: 15-(32,16,3), 6 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(27,13,56430) (# 1243)

- clan: 13-(30,15,28), 6 times derived, 2 times residual
- $PSL(2,19)++$

- clan: 13-(30,15,28), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,9,490) (# 1245) : der= 5-(22,8,140) and res= 5-(22,9,490) - the given design is the residual.

- clan: 15-(32,16,4), 7 times derived, 3 times residual
- $PSL(2,11)$

- clan: 15-(32,16,4), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,560) (# 1247) : der= 5-(22,8,160) and res= 5-(22,9,560) - the given design is the residual.

- clan: 13-(30,15,36), 6 times derived, 2 times residual
- $PSL(2,19)++$
- derived from 6-(23,10,630) (# 8779)

- clan: 13-(30,15,36), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,9,630) (# 1249) : der= 5-(22,8,180) and res= 5-(22,9,630) - the given design is the residual.

- clan: 13-(30,15,36), 2 times reduced t, 6 times derived
- Tran van Trung construction (left) for 5-(23,9,810) (# 1250) : der= 5-(23,8,216) and res= 5-(23,9,810) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
- TvT: 5-(23,8,216) $\cup$ 5-(23,9,810)

- clan: 15-(32,16,5), 7 times derived, 3 times residual
- $PSL(2,19)++$
- derived from 6-(23,10,700) (# 8797)
- residual design of 6-(23,9,200) (# 13436)
- residual design of supplementary of 6-(23,9,480) (# 13438)

- clan: 15-(32,16,5), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,700) (# 1252) : der= 5-(22,8,200) and res= 5-(22,9,700) - the given design is the residual.
- residual design of 6-(24,9,240) (# 13435)
- design 6-(23,9,200) (# 13436) with respect to smaller t
- residual design of supplementary of 6-(24,9,576) (# 13437)
- supplementary design of 6-(23,9,480) (# 13438) with respect to smaller t
- derived from 6-(24,10,900) (# 13440)

- clan: 15-(32,16,5), 2 times reduced t, 7 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(23,9,900) (# 1253) : der= 5-(23,8,240) and res= 5-(23,9,900) - the given design is the residual.
- $PGL(2,23)$ (>1 isomorphism types)
- residual design of 6-(25,9,285) (# 10440)
- design 6-(24,9,240) (# 13435) with respect to smaller t
- supplementary design of 6-(24,9,576) (# 13437) with respect to smaller t
- residual design of supplementary of 6-(25,9,684) (# 13441)
- derived from 6-(25,10,1140) (# 13442)

- clan: 13-(30,15,44), 6 times derived, 2 times residual
- $PSL(2,11)$

- clan: 13-(30,15,44), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,9,770) (# 1255) : der= 5-(22,8,220) and res= 5-(22,9,770) - the given design is the residual.
- derived from 6-(24,10,990) (# 13507)
- derived from supplementary of 6-(24,10,2070) (# 13509)

- clan: 15-(32,16,6), 7 times derived, 3 times residual
- $PSL(2,19)++$
- residual design of 6-(23,9,240) (# 13149)
- derived from 6-(23,10,840) (# 13150)
- residual design of supplementary of 6-(23,9,440) (# 13152)
- derived from supplementary of 6-(23,10,1540) (# 13153)

- clan: 15-(32,16,6), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,840) (# 1257) : der= 5-(22,8,240) and res= 5-(22,9,840) - the given design is the residual.
- derived from 6-(24,10,1080) (# 13148)
- design 6-(23,9,240) (# 13149) with respect to smaller t
- derived from supplementary of 6-(24,10,1980) (# 13151)
- supplementary design of 6-(23,9,440) (# 13152) with respect to smaller t
- residual design of 6-(24,9,288) (# 13323)
- residual design of supplementary of 6-(24,9,528) (# 13324)

- clan: 13-(30,15,52), 6 times derived, 2 times residual
- $PSL(2,19)++$

- clan: 13-(30,15,52), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(22,9,910) (# 1259) : der= 5-(22,8,260) and res= 5-(22,9,910) - the given design is the residual.

- clan: 15-(32,16,7), 7 times derived, 3 times residual
- $PSL(2,11)$

- clan: 15-(32,16,7), 1 times reduced t, 7 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(22,9,980) (# 1261) : der= 5-(22,8,280) and res= 5-(22,9,980) - the given design is the residual.

- clan: 13-(30,15,36), 1 times reduced t, 5 times derived, 2 times residual
- $PSL(2,19) + C_3$
- design 6-(23,10,630) (# 8779) with respect to smaller t
- Tran van Trung construction (left) for 5-(22,10,1638) (# 8780) : der= 5-(22,9,630) and res= 5-(22,10,1638) - the given design is the residual.
- derived from 6-(24,11,2268) (# 9095)

- clan: 13-(30,15,36), 2 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(23,10,2268) (# 1263) : der= 5-(23,9,810) and res= 5-(23,10,2268) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(30,15,36), 3 times reduced t, 5 times derived
- Tran van Trung construction (left) for 5-(24,10,3078) (# 1264) : der= 5-(24,9,1026) and res= 5-(24,10,3078) - the given design is the residual.

- clan: 15-(32,16,5), 1 times reduced t, 6 times derived, 3 times residual
- $PSL(2,19) + C_3$
- design 6-(23,10,700) (# 8797) with respect to smaller t
- Tran van Trung construction (left) for 5-(22,10,1820) (# 8798) : der= 5-(22,9,700) and res= 5-(22,10,1820) - the given design is the residual.
- derived from 6-(24,11,2520) (# 9180)
- residual design of 6-(24,10,900) (# 13440)

- clan: 15-(32,16,5), 2 times reduced t, 6 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(23,10,2520) (# 1266) : der= 5-(23,9,900) and res= 5-(23,10,2520) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
- design 6-(24,10,900) (# 13440) with respect to smaller t
- residual design of 6-(25,10,1140) (# 13442)
- derived from 6-(25,11,3420) (# 13443)

- clan: 15-(32,16,5), 3 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(24,10,3420) (# 1267) : der= 5-(24,9,1140) and res= 5-(24,10,3420) - the given design is the residual.
- residual design of 6-(26,10,1425) (# 10493)
- design 6-(25,10,1140) (# 13442) with respect to smaller t
- derived from 6-(26,11,4560) (# 13444)

- clan: 13-(30,15,52), 1 times reduced t, 5 times derived, 2 times residual
- $PSL(2,19) + C_3$

- clan: 13-(30,15,52), 2 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(23,10,3276) (# 1269) : der= 5-(23,9,1170) and res= 5-(23,10,3276) - the given design is the residual.
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 15-(32,16,9), 1 times reduced t, 6 times derived, 3 times residual
- $PSL(2,19) + C_3$
- supplementary design of 6-(23,10,1120) (# 8773) with respect to smaller t
- Tran van Trung construction (right) for 5-(22,9,1260) (# 8774) : der= 5-(22,9,1260) and res= 5-(22,10,3276) - the given design is the derived.
- derived from supplementary of 6-(24,11,4032) (# 9648)
- residual design of supplementary of 6-(24,10,1440) (# 13167)
- residual design of 6-(24,10,1620) (# 13169)
- design 6-(23,10,1260) (# 13171) with respect to smaller t
- derived from 6-(24,11,4536) (# 13176)

- clan: 15-(32,16,9), 2 times reduced t, 5 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(23,10,4536) (# 1271) : der= 5-(23,10,4536) and res= 5-(23,11,9828) - the given design is the derived.
- supplementary design of 6-(24,11,4032) (# 9648) with respect to smaller t
- derived from supplementary of 6-(25,12,12768) (# 9651)
- derived from 6-(25,12,14364) (# 9665)
- residual design of supplementary of 6-(25,11,5472) (# 13174)
- design 6-(24,11,4536) (# 13176) with respect to smaller t
- residual design of 6-(25,11,6156) (# 13180)

- clan: 15-(32,16,9), 3 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,14364) (# 1272) : der= 5-(24,11,14364) and res= 5-(24,12,26676) - the given design is the derived.
- supplementary design of 6-(25,12,12768) (# 9651) with respect to smaller t
- derived from supplementary of 6-(26,13,36480) (# 9656)
- derived from 6-(26,13,41040) (# 9664)
- design 6-(25,12,14364) (# 9665) with respect to smaller t
- residual design of supplementary of 6-(26,12,18240) (# 13179)
- residual design of 6-(26,12,20520) (# 13185)

- clan: 15-(32,16,9), 4 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(25,12,41040) (# 1273)
- supplementary design of 6-(26,13,36480) (# 9656) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,13,66690) (# 9662) : der= 5-(25,12,41040) and res= 5-(25,13,66690) - the given design is the residual.
- design 6-(26,13,41040) (# 9664) with respect to smaller t
- residual design of supplementary of 6-(27,13,54720) (# 13184)
- residual design of 6-(27,13,61560) (# 13190)
- derived from supplementary of 6-(27,14,95760) (# 13196)
- derived from 6-(27,14,107730) (# 13198)

- clan: 7-(25,8,6), 2 times derived
- $Hol(C_{23})$ >=2 solutions

- clan: 13-(32,16,84), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
- \cite{Driessen78}

- clan: 13-(32,16,87), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,354), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,9), 6 times derived, 2 times residual
- $PSL(2,23)$ (7 isomorphism types) \cite{KitazumeMunemasa97}

- clan: 13-(32,16,90), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,366), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,93), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,378), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,96), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,390), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,99), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,402), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 17-(36,18,2), 8 times derived, 4 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,414), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,42), 5 times derived, 1 times residual
- $PSL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97}

- clan: 13-(32,16,105), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,426), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,108), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,438), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,111), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,450), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,462), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,117), 6 times derived, 2 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,474), 5 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:40 CEST 2009