# 6200: 5-(24,9,1020)

- clan: 17-(36,18,5), 9 times derived, 3 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 17-(36,18,5), 1 times reduced t, 9 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(24,9,1020) (# 6200) : der= 5-(24,8,255) and res= 5-(24,9,1020) - the given design is the residual.
- residual design of 6-(26,9,300) (# 10572)

- clan: 17-(36,18,5), 1 times reduced t, 8 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,9,1020) (# 6200) : der= 5-(24,9,1020) and res= 5-(24,10,3060) - the given design is the derived.

- clan: 17-(36,18,5), 2 times reduced t, 9 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(25,9,1275) (# 6201) : der= 5-(25,8,300) and res= 5-(25,9,1275) - the given design is the residual.
- $PGL(2,25)$
- design 6-(26,9,300) (# 10572) with respect to smaller t

- clan: 17-(36,18,5), 2 times reduced t, 8 times derived, 2 times residual
- Tran van Trung construction (right) for 5-(25,9,1275) (# 6201) : der= 5-(25,9,1275) and res= 5-(25,10,4080) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4080) (# 6202) : der= 5-(25,9,1275) and res= 5-(25,10,4080) - the given design is the residual.

- clan: 17-(36,18,5), 3 times reduced t, 9 times derived
- Tran van Trung construction (left) for 5-(26,9,1575) (# 6203) : der= 5-(26,8,350) and res= 5-(26,9,1575) - the given design is the residual.
- $PGL(2,25)+$

- clan: 17-(36,18,5), 3 times reduced t, 8 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,9,1575) (# 6203) : der= 5-(26,9,1575) and res= 5-(26,10,5355) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,10,5355) (# 6204) : der= 5-(26,9,1575) and res= 5-(26,10,5355) - the given design is the residual.

- clan: 17-(36,18,5), 4 times reduced t, 8 times derived
- Tran van Trung construction (right) for 5-(27,9,1925) (# 6205) : der= 5-(27,9,1925) and res= 5-(27,10,6930) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,10,6930) (# 6206) : der= 5-(27,9,1925) and res= 5-(27,10,6930) - the given design is the residual.

- clan: 13-(32,16,258), 7 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,258), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1032) (# 6208) : der= 5-(24,8,258) and res= 5-(24,9,1032) - the given design is the residual.

- clan: 13-(32,16,258), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1032) (# 6208) : der= 5-(24,9,1032) and res= 5-(24,10,3096) - the given design is the derived.

- clan: 13-(32,16,258), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1290) (# 6209) : der= 5-(25,9,1290) and res= 5-(25,10,4128) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4128) (# 6210) : der= 5-(25,9,1290) and res= 5-(25,10,4128) - the given design is the residual.

- clan: 11-(30,15,1038), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1038), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1038) (# 6212) : der= 5-(24,9,1038) and res= 5-(24,10,3114) - the given design is the derived.

- clan: 11-(30,15,1038), 2 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(25,10,4152) (# 6213) : der= 5-(25,10,4152) and res= 5-(25,11,10380) - the given design is the derived.

- clan: 11-(30,15,1038), 3 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(26,11,14532) (# 6214) : der= 5-(26,11,14532) and res= 5-(26,12,31140) - the given design is the derived.

- clan: 11-(30,15,1038), 4 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(27,12,45672) (# 6215) : der= 5-(27,12,45672) and res= 5-(27,13,85635) - the given design is the derived.

- clan: 11-(30,15,1038), 5 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(28,13,131307) (# 6216) : der= 5-(28,13,131307) and res= 5-(28,14,218845) - the given design is the derived.

- clan: 11-(30,15,1038), 6 times reduced t
- Tran van Trung construction with complementary design for 5-(29,14,350152) (# 6217)

- clan: 13-(32,16,261), 7 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,261), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1044) (# 6219) : der= 5-(24,8,261) and res= 5-(24,9,1044) - the given design is the residual.
- derived from 6-(26,10,1305) (# 13887)
- derived from supplementary of 6-(26,10,3540) (# 13890)

- clan: 13-(32,16,261), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1044) (# 6219) : der= 5-(24,9,1044) and res= 5-(24,10,3132) - the given design is the derived.
- residual design of 6-(26,10,1305) (# 13887)
- derived from 6-(26,11,4176) (# 13888)
- residual design of supplementary of 6-(26,10,3540) (# 13890)
- derived from supplementary of 6-(26,11,11328) (# 13891)

- clan: 13-(32,16,261), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1305) (# 6220) : der= 5-(25,9,1305) and res= 5-(25,10,4176) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4176) (# 6221) : der= 5-(25,9,1305) and res= 5-(25,10,4176) - the given design is the residual.
- derived from 6-(27,11,5481) (# 10649)
- design 6-(26,10,1305) (# 13887) with respect to smaller t
- derived from supplementary of 6-(27,11,14868) (# 13889)
- supplementary design of 6-(26,10,3540) (# 13890) with respect to smaller t

- clan: 11-(30,15,1050), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1050), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1050) (# 6223) : der= 5-(24,9,1050) and res= 5-(24,10,3150) - the given design is the derived.

- clan: 13-(32,16,264), 7 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,264), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1056) (# 6225) : der= 5-(24,8,264) and res= 5-(24,9,1056) - the given design is the residual.

- clan: 13-(32,16,264), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1056) (# 6225) : der= 5-(24,9,1056) and res= 5-(24,10,3168) - the given design is the derived.

- clan: 13-(32,16,264), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1320) (# 6226) : der= 5-(25,9,1320) and res= 5-(25,10,4224) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4224) (# 6227) : der= 5-(25,9,1320) and res= 5-(25,10,4224) - the given design is the residual.

- clan: 13-(32,16,264), 2 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(25,10,4224) (# 6227) : der= 5-(25,10,4224) and res= 5-(25,11,10560) - the given design is the derived.

- clan: 13-(32,16,264), 3 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(26,10,5544) (# 6228) : der= 5-(26,10,5544) and res= 5-(26,11,14784) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,11,14784) (# 6229) : der= 5-(26,10,5544) and res= 5-(26,11,14784) - the given design is the residual.

- clan: 13-(32,16,264), 3 times reduced t, 4 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,11,14784) (# 6229) : der= 5-(26,11,14784) and res= 5-(26,12,31680) - the given design is the derived.

- clan: 13-(32,16,264), 4 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(27,11,20328) (# 6230) : der= 5-(27,11,20328) and res= 5-(27,12,46464) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,12,46464) (# 6231) : der= 5-(27,11,20328) and res= 5-(27,12,46464) - the given design is the residual.

- clan: 13-(32,16,264), 4 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(27,12,46464) (# 6231) : der= 5-(27,12,46464) and res= 5-(27,13,87120) - the given design is the derived.

- clan: 13-(32,16,264), 5 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(28,12,66792) (# 6232) : der= 5-(28,12,66792) and res= 5-(28,13,133584) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,13,133584) (# 6233) : der= 5-(28,12,66792) and res= 5-(28,13,133584) - the given design is the residual.

- clan: 13-(32,16,264), 5 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(28,13,133584) (# 6233) : der= 5-(28,13,133584) and res= 5-(28,14,222640) - the given design is the derived.

- clan: 13-(32,16,264), 6 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(29,13,200376) (# 6234) : der= 5-(29,13,200376) and res= 5-(29,14,356224) - the given design is the derived.
- Tran van Trung construction (left) for 5-(29,14,356224) (# 6235) : der= 5-(29,13,200376) and res= 5-(29,14,356224) - the given design is the residual.

- clan: 13-(32,16,264), 6 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(29,14,356224) (# 6235)

- clan: 13-(32,16,264), 7 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(30,14,556600) (# 6236) : der= 5-(30,14,556600) and res= 5-(30,15,890560) - the given design is the derived.
- Tran van Trung construction (left) for 5-(30,15,890560) (# 6237) : der= 5-(30,14,556600) and res= 5-(30,15,890560) - the given design is the residual.

- clan: 13-(32,16,264), 8 times reduced t
- Tran van Trung construction with complementary design for 5-(31,15,1447160) (# 6238)

- clan: 11-(30,15,1062), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1062), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1062) (# 6240) : der= 5-(24,9,1062) and res= 5-(24,10,3186) - the given design is the derived.

- clan: 13-(32,16,267), 7 times derived, 1 times residual
- $PGL(2,23)$ (>1 isomorphism types)

- clan: 13-(32,16,267), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1068) (# 6242) : der= 5-(24,8,267) and res= 5-(24,9,1068) - the given design is the residual.
- derived from 6-(26,10,1335) (# 13898)
- derived from supplementary of 6-(26,10,3510) (# 13901)

- clan: 13-(32,16,267), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1068) (# 6242) : der= 5-(24,9,1068) and res= 5-(24,10,3204) - the given design is the derived.
- residual design of 6-(26,10,1335) (# 13898)
- derived from 6-(26,11,4272) (# 13899)
- residual design of supplementary of 6-(26,10,3510) (# 13901)
- derived from supplementary of 6-(26,11,11232) (# 13902)

- clan: 13-(32,16,267), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1335) (# 6243) : der= 5-(25,9,1335) and res= 5-(25,10,4272) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4272) (# 6244) : der= 5-(25,9,1335) and res= 5-(25,10,4272) - the given design is the residual.
- derived from 6-(27,11,5607) (# 13897)
- design 6-(26,10,1335) (# 13898) with respect to smaller t
- derived from supplementary of 6-(27,11,14742) (# 13900)
- supplementary design of 6-(26,10,3510) (# 13901) with respect to smaller t

- clan: 11-(30,15,1074), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1074), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1074) (# 6246) : der= 5-(24,9,1074) and res= 5-(24,10,3222) - the given design is the derived.

- clan: 13-(32,16,27), 7 times derived, 1 times residual
- $PGL(2,23)$ (152 isomorphism types)

- clan: 13-(32,16,27), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,108) (# 6248) : der= 5-(24,8,27) and res= 5-(24,9,108) - the given design is the residual.

- clan: 13-(32,16,27), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,108) (# 6248) : der= 5-(24,9,108) and res= 5-(24,10,324) - the given design is the derived.
- $PSL(2,23)+$ TvT construction 5-(24,9,108) $\cup$ 5-(24,10,324)

- clan: 13-(32,16,27), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,135) (# 6249) : der= 5-(25,9,135) and res= 5-(25,10,432) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,432) (# 6250) : der= 5-(25,9,135) and res= 5-(25,10,432) - the given design is the residual.

- clan: 13-(32,16,270), 7 times derived, 1 times residual
- $M_{11,12}\times id_2$ 9 solutions
- $PGL(2,23)$ (>1 isomorphism types)
- derived from 6-(25,10,1080) (# 13533)
- derived from supplementary of 6-(25,10,2796) (# 13536)

- clan: 13-(32,16,270), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1080) (# 6252) : der= 5-(24,8,270) and res= 5-(24,9,1080) - the given design is the residual.
- derived from 6-(26,10,1350) (# 10485)
- derived from supplementary of 6-(26,10,3495) (# 13914)

- clan: 13-(32,16,270), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1080) (# 6252) : der= 5-(24,9,1080) and res= 5-(24,10,3240) - the given design is the derived.
- residual design of 6-(26,10,1350) (# 10485)
- derived from 6-(26,11,4320) (# 13532)
- design 6-(25,10,1080) (# 13533) with respect to smaller t
- derived from supplementary of 6-(26,11,11184) (# 13535)
- supplementary design of 6-(25,10,2796) (# 13536) with respect to smaller t
- residual design of supplementary of 6-(26,10,3495) (# 13914)

- clan: 13-(32,16,270), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1350) (# 6253) : der= 5-(25,9,1350) and res= 5-(25,10,4320) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4320) (# 6254) : der= 5-(25,9,1350) and res= 5-(25,10,4320) - the given design is the residual.
- design 6-(26,10,1350) (# 10485) with respect to smaller t
- derived from 6-(27,11,5670) (# 10655)
- derived from supplementary of 6-(27,11,14679) (# 13913)
- supplementary design of 6-(26,10,3495) (# 13914) with respect to smaller t

- clan: 11-(30,15,1086), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1086), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1086) (# 6256) : der= 5-(24,9,1086) and res= 5-(24,10,3258) - the given design is the derived.

- clan: 13-(32,16,273), 7 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,273), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1092) (# 6258) : der= 5-(24,8,273) and res= 5-(24,9,1092) - the given design is the residual.

- clan: 13-(32,16,273), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1092) (# 6258) : der= 5-(24,9,1092) and res= 5-(24,10,3276) - the given design is the derived.

- clan: 13-(32,16,273), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1365) (# 6259) : der= 5-(25,9,1365) and res= 5-(25,10,4368) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4368) (# 6260) : der= 5-(25,9,1365) and res= 5-(25,10,4368) - the given design is the residual.

- clan: 11-(30,15,1098), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1098), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1098) (# 6262) : der= 5-(24,9,1098) and res= 5-(24,10,3294) - the given design is the derived.

- clan: 13-(32,16,276), 7 times derived, 1 times residual
- $PGL(2,23)$ (>1 isomorphism types)

- clan: 13-(32,16,276), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1104) (# 6264) : der= 5-(24,8,276) and res= 5-(24,9,1104) - the given design is the residual.
- derived from 6-(26,10,1380) (# 13917)
- derived from supplementary of 6-(26,10,3465) (# 13920)

- clan: 13-(32,16,276), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1104) (# 6264) : der= 5-(24,9,1104) and res= 5-(24,10,3312) - the given design is the derived.
- residual design of 6-(26,10,1380) (# 13917)
- derived from 6-(26,11,4416) (# 13918)
- residual design of supplementary of 6-(26,10,3465) (# 13920)
- derived from supplementary of 6-(26,11,11088) (# 13921)

- clan: 13-(32,16,276), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1380) (# 6265) : der= 5-(25,9,1380) and res= 5-(25,10,4416) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4416) (# 6266) : der= 5-(25,9,1380) and res= 5-(25,10,4416) - the given design is the residual.
- derived from 6-(27,11,5796) (# 13916)
- design 6-(26,10,1380) (# 13917) with respect to smaller t
- derived from supplementary of 6-(27,11,14553) (# 13919)
- supplementary design of 6-(26,10,3465) (# 13920) with respect to smaller t

- clan: 13-(32,16,276), 2 times reduced t, 5 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(25,10,4416) (# 6266) : der= 5-(25,10,4416) and res= 5-(25,11,11040) - the given design is the derived.
- residual design of 6-(27,11,5796) (# 13916)
- design 6-(26,11,4416) (# 13918) with respect to smaller t
- residual design of supplementary of 6-(27,11,14553) (# 13919)
- supplementary design of 6-(26,11,11088) (# 13921) with respect to smaller t

- clan: 13-(32,16,276), 3 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(26,10,5796) (# 6267) : der= 5-(26,10,5796) and res= 5-(26,11,15456) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,11,15456) (# 6268) : der= 5-(26,10,5796) and res= 5-(26,11,15456) - the given design is the residual.
- design 6-(27,11,5796) (# 13916) with respect to smaller t
- supplementary design of 6-(27,11,14553) (# 13919) with respect to smaller t

- clan: 13-(32,16,276), 3 times reduced t, 4 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,11,15456) (# 6268) : der= 5-(26,11,15456) and res= 5-(26,12,33120) - the given design is the derived.

- clan: 13-(32,16,276), 4 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(27,11,21252) (# 6269) : der= 5-(27,11,21252) and res= 5-(27,12,48576) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,12,48576) (# 6270) : der= 5-(27,11,21252) and res= 5-(27,12,48576) - the given design is the residual.

- clan: 13-(32,16,276), 4 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(27,12,48576) (# 6270) : der= 5-(27,12,48576) and res= 5-(27,13,91080) - the given design is the derived.

- clan: 13-(32,16,276), 5 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(28,12,69828) (# 6271) : der= 5-(28,12,69828) and res= 5-(28,13,139656) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,13,139656) (# 6272) : der= 5-(28,12,69828) and res= 5-(28,13,139656) - the given design is the residual.

- clan: 13-(32,16,276), 5 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(28,13,139656) (# 6272) : der= 5-(28,13,139656) and res= 5-(28,14,232760) - the given design is the derived.

- clan: 13-(32,16,276), 6 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(29,13,209484) (# 6273) : der= 5-(29,13,209484) and res= 5-(29,14,372416) - the given design is the derived.
- Tran van Trung construction (left) for 5-(29,14,372416) (# 6274) : der= 5-(29,13,209484) and res= 5-(29,14,372416) - the given design is the residual.

- clan: 13-(32,16,276), 6 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(29,14,372416) (# 6274)

- clan: 13-(32,16,276), 7 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(30,14,581900) (# 6275) : der= 5-(30,14,581900) and res= 5-(30,15,931040) - the given design is the derived.
- Tran van Trung construction (left) for 5-(30,15,931040) (# 6276) : der= 5-(30,14,581900) and res= 5-(30,15,931040) - the given design is the residual.

- clan: 13-(32,16,276), 8 times reduced t
- Tran van Trung construction with complementary design for 5-(31,15,1512940) (# 6277)

- clan: 11-(30,15,1110), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1110), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1110) (# 6279) : der= 5-(24,9,1110) and res= 5-(24,10,3330) - the given design is the derived.

- clan: 13-(32,16,279), 7 times derived, 1 times residual
- $PGL(2,23)$ (>1 isomorphism types)

- clan: 13-(32,16,279), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1116) (# 6281) : der= 5-(24,8,279) and res= 5-(24,9,1116) - the given design is the residual.
- derived from 6-(26,10,1395) (# 10489)

- clan: 13-(32,16,279), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1116) (# 6281) : der= 5-(24,9,1116) and res= 5-(24,10,3348) - the given design is the derived.
- residual design of 6-(26,10,1395) (# 10489)

- clan: 13-(32,16,279), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1395) (# 6282) : der= 5-(25,9,1395) and res= 5-(25,10,4464) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4464) (# 6283) : der= 5-(25,9,1395) and res= 5-(25,10,4464) - the given design is the residual.
- design 6-(26,10,1395) (# 10489) with respect to smaller t

- clan: 11-(30,15,1122), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1122), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1122) (# 6285) : der= 5-(24,9,1122) and res= 5-(24,10,3366) - the given design is the derived.

- clan: 11-(30,15,1122), 2 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(25,10,4488) (# 6286) : der= 5-(25,10,4488) and res= 5-(25,11,11220) - the given design is the derived.
- derived from 6-(27,12,15708) (# 10803)

- clan: 11-(30,15,1122), 3 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(26,11,15708) (# 6287) : der= 5-(26,11,15708) and res= 5-(26,12,33660) - the given design is the derived.
- design 6-(27,12,15708) (# 10803) with respect to smaller t

- clan: 11-(30,15,1122), 4 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(27,12,49368) (# 6288) : der= 5-(27,12,49368) and res= 5-(27,13,92565) - the given design is the derived.

- clan: 11-(30,15,1122), 5 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(28,13,141933) (# 6289) : der= 5-(28,13,141933) and res= 5-(28,14,236555) - the given design is the derived.

- clan: 11-(30,15,1122), 6 times reduced t
- Tran van Trung construction with complementary design for 5-(29,14,378488) (# 6290)

- clan: 13-(32,16,282), 7 times derived, 1 times residual
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 13-(32,16,282), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 5-(24,9,1128) (# 6292) : der= 5-(24,8,282) and res= 5-(24,9,1128) - the given design is the residual.

- clan: 13-(32,16,282), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(24,9,1128) (# 6292) : der= 5-(24,9,1128) and res= 5-(24,10,3384) - the given design is the derived.

- clan: 13-(32,16,282), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 5-(25,9,1410) (# 6293) : der= 5-(25,9,1410) and res= 5-(25,10,4512) - the given design is the derived.
- Tran van Trung construction (left) for 5-(25,10,4512) (# 6294) : der= 5-(25,9,1410) and res= 5-(25,10,4512) - the given design is the residual.

- clan: 11-(30,15,1134), 6 times derived
- $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

- clan: 11-(30,15,1134), 1 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,1134) (# 6296) : der= 5-(24,9,1134) and res= 5-(24,10,3402) - the given design is the derived.
- derived from 6-(26,11,4536) (# 14711)
- derived from supplementary of 6-(26,11,10968) (# 14714)

- clan: 13-(30,15,4), 2 times reduced t, 6 times derived
- $PGL(2,23)$ (205 isomorphism types)

- clan: 13-(30,15,4), 3 times reduced t, 5 times derived
- Tran van Trung construction (right) for 5-(24,9,114) (# 6298) : der= 5-(24,9,114) and res= 5-(24,10,342) - the given design is the derived.
- $PSL(2,23)+$ TvT construction 5-(24,9,114) $\cup$ 5-(24,10,342)

created: Fri Oct 23 11:10:15 CEST 2009