t designs with small t, id ge 5400

• clan: 13-(32,16,21), 8 times derived
• $PSL(2,23)$ 6 isomorphism types

# 5401: 5-(24,8,210)

• clan: 13-(32,16,210), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5402: 5-(24,8,211)

• clan: 5-(24,8,211)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5403: 5-(24,8,212)

• clan: 5-(24,8,212)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5404: 5-(24,8,213)

• clan: 13-(32,16,213), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5405: 5-(24,8,214)

• clan: 5-(24,8,214)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5406: 5-(24,8,215)

• clan: 5-(24,8,215)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5407: 5-(24,8,216)

• clan: 13-(32,16,216), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5408: 5-(24,8,217)

• clan: 5-(24,8,217)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5409: 5-(24,8,218)

• clan: 5-(24,8,218)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5410: 5-(24,8,219)

• clan: 13-(32,16,219), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5411: 5-(24,8,22)

• clan: 5-(24,8,22)
• $PSL(2,23)$ 11 isomorphism types

# 5412: 5-(24,8,220)

• clan: 5-(24,8,220)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5413: 5-(24,8,221)

• clan: 6-(25,8,39), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5414: 5-(25,8,260)

• clan: 6-(25,8,39), 1 times reduced t
• Tran van Trung construction (left) for 5-(24,8,221) (# 5413) : der= 5-(24,7,39) and res= 5-(24,8,221) - the given design is the residual.

# 5415: 5-(24,8,222)

• clan: 13-(32,16,222), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5416: 5-(24,8,223)

• clan: 5-(24,8,223)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5417: 5-(24,8,224)

• clan: 5-(24,8,224)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5418: 5-(24,8,225)

• clan: 13-(32,16,225), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,9,225) (# 10431)

# 5419: 5-(24,8,226)

• clan: 5-(24,8,226)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5420: 5-(24,8,227)

• clan: 5-(24,8,227)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5421: 5-(24,8,228)

• clan: 15-(32,16,4), 2 times reduced t, 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,8,36) (# 9832) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,7,36) (# 9833) : der= 5-(23,7,36) and res= 5-(23,8,192) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,8,192) (# 9834) : der= 5-(23,7,36) and res= 5-(23,8,192) - the given design is the residual.
• supplementary design of 6-(24,8,117) (# 13279) with respect to smaller t

# 5422: 5-(24,8,229)

• clan: 5-(24,8,229)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5423: 5-(24,8,23)

• clan: 5-(24,8,23)
• $PSL(2,23)$ 18 isomorphism types

# 5424: 5-(24,8,230)

• clan: 5-(24,8,230)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5425: 5-(24,8,231)

• clan: 13-(32,16,231), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5426: 5-(24,8,232)

• clan: 5-(24,8,232)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5427: 5-(24,8,233)

• clan: 5-(24,8,233)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5428: 5-(24,8,234)

• clan: 13-(32,16,234), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5429: 5-(24,8,235)

• clan: 5-(24,8,235)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5430: 5-(24,8,236)

• clan: 5-(24,8,236)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5431: 5-(24,8,237)

• clan: 13-(32,16,237), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5432: 5-(24,8,238)

• clan: 6-(25,8,42), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5433: 5-(25,8,280)

• clan: 6-(25,8,42), 1 times reduced t
• Tran van Trung construction (left) for 5-(24,8,238) (# 5432) : der= 5-(24,7,42) and res= 5-(24,8,238) - the given design is the residual.

# 5434: 5-(24,8,239)

• clan: 5-(24,8,239)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5435: 5-(24,8,24)

• clan: 13-(32,16,24), 8 times derived
• $PGL(2,23)$ 3 isomorphism types

# 5436: 5-(24,8,240)

• clan: 13-(32,16,240), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,9,240) (# 10434)

# 5437: 5-(24,8,241)

• clan: 5-(24,8,241)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5438: 5-(24,8,242)

• clan: 5-(24,8,242)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5439: 5-(24,8,243)

• clan: 13-(32,16,243), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5440: 5-(24,8,244)

• clan: 5-(24,8,244)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5441: 5-(24,8,245)

• clan: 5-(24,8,245)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5442: 5-(24,8,246)

• clan: 13-(32,16,246), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5443: 5-(24,8,247)

• clan: 6-(24,8,39), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5444: 5-(24,8,248)

• clan: 5-(24,8,248)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5445: 5-(24,8,249)

• clan: 13-(32,16,249), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from 6-(25,9,249) (# 10437)

# 5446: 5-(24,8,25)

• clan: 5-(24,8,25)
• $PSL(2,23)$ 49 isomorphism types

# 5447: 5-(24,8,250)

• clan: 5-(24,8,250)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5448: 5-(24,8,251)

• clan: 5-(24,8,251)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5449: 5-(24,8,252)

• clan: 13-(32,16,252), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5450: 5-(24,8,253)

• clan: 5-(24,8,253)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5451: 5-(24,8,254)

• clan: 5-(24,8,254)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5452: 5-(24,8,255)

• clan: 17-(36,18,5), 10 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,8,45) (# 10399)

# 5453: 5-(25,8,300)

• clan: 17-(36,18,5), 1 times reduced t, 10 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(24,8,255) (# 5452) : der= 5-(24,7,45) and res= 5-(24,8,255) - the given design is the residual.
• design 6-(25,8,45) (# 10399) with respect to smaller t
• derived from 6-(26,9,300) (# 10572)

# 5454: 5-(26,8,350)

• clan: 17-(36,18,5), 2 times reduced t, 10 times derived
• Tran van Trung construction (left) for 5-(25,8,300) (# 5453) : der= 5-(25,7,50) and res= 5-(25,8,300) - the given design is the residual.

# 5455: 5-(24,8,256)

• clan: 5-(24,8,256)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5456: 5-(24,8,257)

• clan: 5-(24,8,257)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5457: 5-(24,8,258)

• clan: 13-(32,16,258), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5458: 5-(24,8,259)

• clan: 5-(24,8,259)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5459: 5-(24,8,26)

• clan: 5-(24,8,26)
• $PGL(2,23)$ 4 isomorphism types

# 5460: 5-(24,8,260)

• clan: 5-(24,8,260)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5461: 5-(24,8,261)

• clan: 13-(32,16,261), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5462: 5-(24,8,262)

• clan: 5-(24,8,262)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5463: 5-(24,8,263)

• clan: 5-(24,8,263)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5464: 5-(24,8,264)

• clan: 13-(32,16,264), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5465: 5-(24,8,265)

• clan: 5-(24,8,265)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5466: 5-(24,8,266)

• clan: 6-(24,8,42), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5467: 5-(24,8,267)

• clan: 13-(32,16,267), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5468: 5-(24,8,268)

• clan: 5-(24,8,268)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5469: 5-(24,8,269)

• clan: 5-(24,8,269)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5470: 5-(24,8,27)

• clan: 13-(32,16,27), 8 times derived
• $PSL(2,23)$ 72 isomorphism types

# 5471: 5-(24,8,270)

• clan: 13-(32,16,270), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5472: 5-(24,8,271)

• clan: 5-(24,8,271)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5473: 5-(24,8,272)

• clan: 6-(25,8,48), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5474: 5-(25,8,320)

• clan: 6-(25,8,48), 1 times reduced t
• Tran van Trung construction (left) for 5-(24,8,272) (# 5473) : der= 5-(24,7,48) and res= 5-(24,8,272) - the given design is the residual.

# 5475: 5-(24,8,273)

• clan: 13-(32,16,273), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5476: 5-(24,8,274)

• clan: 5-(24,8,274)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5477: 5-(24,8,275)

• clan: 5-(24,8,275)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5478: 5-(24,8,276)

• clan: 13-(32,16,276), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5479: 5-(24,8,277)

• clan: 5-(24,8,277)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5480: 5-(24,8,278)

• clan: 5-(24,8,278)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5481: 5-(24,8,279)

• clan: 13-(32,16,279), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5482: 5-(24,8,28)

• clan: 5-(24,8,28)
• $PGL(2,23)$ 4 isomorphism types

# 5483: 5-(24,8,280)

• clan: 5-(24,8,280)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5484: 5-(24,8,281)

• clan: 5-(24,8,281)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5485: 5-(24,8,282)

• clan: 13-(32,16,282), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5486: 5-(24,8,283)

• clan: 5-(24,8,283)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5487: 5-(24,8,284)

• clan: 5-(24,8,284)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5488: 5-(24,8,285)

• clan: 15-(32,16,5), 2 times reduced t, 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,8,45) (# 9837) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,7,45) (# 9838) : der= 5-(23,7,45) and res= 5-(23,8,240) - the given design is the derived.
• derived from 6-(25,9,285) (# 10440)
• supplementary design of 6-(24,8,108) (# 13290) with respect to smaller t
• derived from supplementary of 6-(25,9,684) (# 13441)

# 5489: 5-(25,9,1425)

• clan: 15-(32,16,5), 3 times reduced t, 7 times derived
• Tran van Trung construction (right) for 5-(24,8,285) (# 5488) : der= 5-(24,8,285) and res= 5-(24,9,1140) - the given design is the derived.
• design 6-(25,9,285) (# 10440) with respect to smaller t
• derived from 6-(26,10,1425) (# 10493)
• supplementary design of 6-(25,9,684) (# 13441) with respect to smaller t

# 5490: 5-(26,10,5985)

• clan: 15-(32,16,5), 4 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1425) (# 5489) : der= 5-(25,9,1425) and res= 5-(25,10,4560) - the given design is the derived.
• design 6-(26,10,1425) (# 10493) with respect to smaller t
• derived from 6-(27,11,5985) (# 13446)

# 5491: 5-(24,8,286)

• clan: 5-(24,8,286)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5492: 5-(24,8,287)

• clan: 5-(24,8,287)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5493: 5-(24,8,288)

• clan: 13-(32,16,288), 8 times derived
• $M_{11,12}\times id_2$
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5494: 5-(24,8,289)

• clan: 6-(25,8,51), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5495: 5-(25,8,340)

• clan: 6-(25,8,51), 1 times reduced t
• Tran van Trung construction (left) for 5-(24,8,289) (# 5494) : der= 5-(24,7,51) and res= 5-(24,8,289) - the given design is the residual.

# 5496: 5-(24,8,29)

• clan: 5-(24,8,29)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5497: 5-(24,8,290)

• clan: 5-(24,8,290)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5498: 5-(24,8,291)

• clan: 13-(32,16,291), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5499: 5-(24,8,292)

• clan: 5-(24,8,292)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:09 CEST 2009