t designs with small t, id ge 8300
# 8300: 5-(32,8,545)
- clan: 5-(32,8,545)
 - $AGL(4,2)\times C_2$ 70 solutions
 
- clan: 6-(33,8,66), 1 times residual
 - $PSL(2,31)$
 
- clan: 6-(33,8,66), 1 times reduced t
 - Tran van Trung construction (left) for 5-(32,8,550) (# 8301) : der= 5-(32,7,66) and res= 5-(32,8,550) - the given design is the residual.
 
- clan: 9-(36,12,555), 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,560)
 - $AGL(4,2)\times C_2$ 343 solutions
 - $PSL(2,31)$
 
- clan: 5-(32,8,565)
 - $AGL(4,2)\times C_2$ 190 solutions
 
- clan: 9-(36,12,570), 4 times derived
 - $PSL(2,31)$
 
- clan: 6-(33,8,69), 1 times residual
 - $PSL(2,31)$
 
- clan: 5-(32,8,580)
 - $AGL(4,2)\times C_2$ 165 solutions
 
- clan: 23-(48,24,5), 2 times reduced t, 16 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,585) (# 12607)
 - design 6-(32,8,65) (# 16296) with respect to smaller t
 - derived from supplementary of 6-(33,9,2340) (# 16298)
 - supplementary design of 6-(32,8,260) (# 16299) with respect to smaller t
 - Tran van Trung construction (right) for 5-(31,7,65) (# 16301) : der= 5-(31,7,65) and res= 5-(31,8,520) - the given design is the derived.
 - Tran van Trung construction (left) for 5-(31,8,520) (# 16302) : der= 5-(31,7,65) and res= 5-(31,8,520) - the given design is the residual.
 
- clan: 5-(32,8,590)
 - $PSL(2,31)$
 
- clan: 5-(32,8,595)
 - $PSL(2,31)$
 
- clan: 10-(37,12,72), 4 times derived, 1 times residual
 - $AGL(4,2)\times C_2$ 897 solutions
 - derived from 6-(33,9,600) (# 12612)
 - derived from supplementary of 6-(33,9,2325) (# 16349)
 
- clan: 5-(32,8,605)
 - $AGL(4,2)\times C_2$ 4638 solutions
 
- clan: 5-(32,8,610)
 - $PSL(2,31)$
 
- clan: 9-(36,12,615), 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,620)
 - $PSL(2,31)$
 
- clan: 6-(33,8,75), 1 times residual
 - $PSL(2,31)$
 
- clan: 6-(33,8,75), 1 times reduced t
 - Tran van Trung construction (left) for 5-(32,8,625) (# 8317) : der= 5-(32,7,75) and res= 5-(32,8,625) - the given design is the residual.
 - \cite{Sebille98} $P\Gamma L(2,32)$
 
- clan: 10-(36,12,70), 1 times reduced t, 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,635)
 - $PSL(2,31)$
 
- clan: 5-(32,8,640)
 - $AGL(4,2)\times C_2$ many solutions
 - $PSL(2,31)$
 
- clan: 9-(36,12,645), 4 times derived
 - $AGL(4,2)\times C_2$ many solutions
 - derived from 6-(33,9,645) (# 12618)
 - derived from supplementary of 6-(33,9,2280) (# 16356)
 
- clan: 7-(34,8,6), 2 times residual
 - $PSL(2,31)$
 
- clan: 7-(34,8,6), 1 times reduced t, 1 times residual
 - Tran van Trung construction (left) for 5-(32,8,650) (# 8323) : der= 5-(32,7,78) and res= 5-(32,8,650) - the given design is the residual.
 
- clan: 7-(34,8,6), 2 times reduced t
 - Tran van Trung construction (left) for 5-(33,8,728) (# 8324) : der= 5-(33,7,84) and res= 5-(33,8,728) - the given design is the residual.
 
- clan: 5-(32,8,655)
 - $PSL(2,31)$
 
- clan: 9-(36,12,660), 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,660) (# 12624)
 - derived from supplementary of 6-(33,9,2265) (# 16363)
 
- clan: 5-(32,8,665)
 - $AGL(4,2)\times C_2$ many solutions
 
- clan: 5-(32,8,670)
 - $PSL(2,31)$
 
- clan: 11-(37,12,6), 1 times reduced t, 4 times derived, 1 times residual
 - TvT: 5-(31,7,75) $\cup$ 5-(31,8,600)
 - Tran van Trung construction (left) for 5-(31,8,600) (# 16121) : der= 5-(31,7,75) and res= 5-(31,8,600) - the given design is the residual.
 
- clan: 11-(37,12,6), 2 times reduced t, 4 times derived
 - Tran van Trung construction (left) for 5-(32,8,675) (# 8330) : der= 5-(32,7,81) and res= 5-(32,8,675) - the given design is the residual.
 
- clan: 5-(32,8,680)
 - $AGL(4,2)\times C_2$ many solutions
 
- clan: 5-(32,8,685)
 - $AGL(4,2)\times C_2$ many solutions
 
- clan: 9-(36,12,690), 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,695)
 - $PSL(2,31)$
 
- clan: 6-(33,8,84), 1 times residual
 - $AGL(4,2)\times C_2$
 
- clan: 6-(33,8,84), 1 times reduced t
 - Tran van Trung construction (left) for 5-(32,8,700) (# 8336) : der= 5-(32,7,84) and res= 5-(32,8,700) - the given design is the residual.
 
- clan: 9-(36,12,705), 4 times derived
 - $AGL(4,2)\times C_2$
 - derived from 6-(33,9,705) (# 12630)
 - derived from supplementary of 6-(33,9,2220) (# 16370)
 
- clan: 5-(32,8,710)
 - $PSL(2,31)$
 
- clan: 5-(32,8,715)
 - $PSL(2,31)$
 
- clan: 10-(36,12,80), 1 times reduced t, 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,720) (# 12636)
 - design 6-(32,8,80) (# 16308) with respect to smaller t
 - derived from supplementary of 6-(33,9,2205) (# 16310)
 - supplementary design of 6-(32,8,245) (# 16311) with respect to smaller t
 - Tran van Trung construction (right) for 5-(31,7,80) (# 16313) : der= 5-(31,7,80) and res= 5-(31,8,640) - the given design is the derived.
 - Tran van Trung construction (left) for 5-(31,8,640) (# 16314) : der= 5-(31,7,80) and res= 5-(31,8,640) - the given design is the residual.
 
- clan: 6-(33,8,87), 1 times residual
 - $PSL(2,31)$
 
- clan: 5-(32,8,730)
 - $PSL(2,31)$
 
- clan: 9-(36,12,735), 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,735) (# 16381)
 - derived from supplementary of 6-(33,9,2190) (# 16384)
 
- clan: 5-(32,8,740)
 - $PSL(2,31)$
 
- clan: 5-(32,8,745)
 - $PSL(2,31)$
 
- clan: 10-(37,12,90), 4 times derived, 1 times residual
 - $PSL(2,31)$
 
- clan: 10-(37,12,90), 1 times reduced t, 4 times derived
 - Tran van Trung construction (left) for 5-(32,8,750) (# 8347) : der= 5-(32,7,90) and res= 5-(32,8,750) - the given design is the residual.
 
- clan: 5-(32,8,755)
 - $PSL(2,31)$
 
- clan: 5-(32,8,760)
 - $PSL(2,31)$
 
- clan: 10-(36,12,85), 1 times reduced t, 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,765) (# 12642)
 - design 6-(32,8,85) (# 16320) with respect to smaller t
 - derived from supplementary of 6-(33,9,2160) (# 16322)
 - supplementary design of 6-(32,8,240) (# 16323) with respect to smaller t
 - Tran van Trung construction (right) for 5-(31,7,85) (# 16325) : der= 5-(31,7,85) and res= 5-(31,8,680) - the given design is the derived.
 - Tran van Trung construction (left) for 5-(31,8,680) (# 16326) : der= 5-(31,7,85) and res= 5-(31,8,680) - the given design is the residual.
 
- clan: 5-(32,8,770)
 - $PSL(2,31)$
 
- clan: 6-(33,8,93), 1 times residual
 - $PSL(2,31)$
 
- clan: 21-(48,24,780), 16 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,780) (# 12648)
 - derived from supplementary of 6-(33,9,2145) (# 16394)
 
- clan: 5-(32,8,785)
 - $PSL(2,31)$
 
- clan: 5-(32,8,790)
 - $PSL(2,31)$
 
- clan: 9-(36,12,795), 4 times derived
 - $PSL(2,31)$
 
- clan: 6-(33,8,96), 1 times residual
 - $PSL(2,31)$
 
- clan: 6-(33,8,96), 1 times reduced t
 - Tran van Trung construction (left) for 5-(32,8,800) (# 8358) : der= 5-(32,7,96) and res= 5-(32,8,800) - the given design is the residual.
 - \cite{Sebille98} $P\Gamma L(2,32)$
 
- clan: 5-(32,8,805)
 - $PSL(2,31)$
 
- clan: 10-(36,12,90), 1 times reduced t, 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,815)
 - $PSL(2,31)$
 
- clan: 5-(32,8,820)
 - $PSL(2,31)$
 
- clan: 10-(37,12,99), 4 times derived, 1 times residual
 - $PSL(2,31)$
 - derived from 6-(33,9,825) (# 12654)
 - derived from supplementary of 6-(33,9,2100) (# 16402)
 
- clan: 10-(37,12,99), 1 times reduced t, 4 times derived
 - Tran van Trung construction (left) for 5-(32,8,825) (# 8364) : der= 5-(32,7,99) and res= 5-(32,8,825) - the given design is the residual.
 
- clan: 5-(32,8,830)
 - $PSL(2,31)$
 
- clan: 5-(32,8,835)
 - $PSL(2,31)$
 
- clan: 9-(36,12,840), 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,840) (# 12661)
 - derived from supplementary of 6-(33,9,2085) (# 16414)
 
- clan: 5-(32,8,845)
 - $PSL(2,31)$
 
- clan: 6-(33,8,102), 1 times residual
 - $PSL(2,31)$
 
- clan: 10-(36,12,95), 1 times reduced t, 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,860)
 - $PSL(2,31)$
 
- clan: 5-(32,8,865)
 - $PSL(2,31)$
 
- clan: 9-(36,12,870), 4 times derived
 - $PSL(2,31)$
 
- clan: 6-(33,8,105), 1 times residual
 - $PSL(2,31)$
 
- clan: 6-(33,8,105), 1 times reduced t
 - Tran van Trung construction (left) for 5-(32,8,875) (# 8375) : der= 5-(32,7,105) and res= 5-(32,8,875) - the given design is the residual.
 
- clan: 5-(32,8,880)
 - $PSL(2,31)$
 
- clan: 9-(36,12,885), 4 times derived
 - $AGL(4,2)\times C_2$
 - derived from 6-(33,9,885) (# 12667)
 - derived from supplementary of 6-(33,9,2040) (# 16422)
 
- clan: 5-(32,8,890)
 - $PSL(2,31)$
 
- clan: 5-(32,8,895)
 - $PSL(2,31)$
 
- clan: 11-(37,12,8), 1 times reduced t, 4 times derived, 1 times residual
 - $PSL(2,31)$
 - derived from 6-(33,9,900) (# 12673)
 - design 6-(32,8,100) (# 16208) with respect to smaller t
 - derived from supplementary of 6-(33,9,2025) (# 16210)
 - supplementary design of 6-(32,8,225) (# 16211) with respect to smaller t
 - Tran van Trung construction (right) for 5-(31,7,100) (# 16213) : der= 5-(31,7,100) and res= 5-(31,8,800) - the given design is the derived.
 - Tran van Trung construction (left) for 5-(31,8,800) (# 16214) : der= 5-(31,7,100) and res= 5-(31,8,800) - the given design is the residual.
 
- clan: 5-(32,8,905)
 - $PSL(2,31)$
 
- clan: 5-(32,8,910)
 - $PSL(2,31)$
 
- clan: 9-(36,12,915), 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,920)
 - $PSL(2,31)$
 
- clan: 6-(33,8,111), 1 times residual
 - $PSL(2,31)$
 
- clan: 6-(33,8,111), 1 times reduced t
 - Tran van Trung construction (left) for 5-(32,8,925) (# 8386) : der= 5-(32,7,111) and res= 5-(32,8,925) - the given design is the residual.
 
- clan: 9-(36,12,930), 4 times derived
 - $PSL(2,31)$
 
- clan: 5-(32,8,935)
 - $PSL(2,31)$
 
- clan: 5-(32,8,940)
 - $PSL(2,31)$
 
- clan: 10-(36,12,105), 1 times reduced t, 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,945) (# 12679)
 - design 6-(32,8,105) (# 16220) with respect to smaller t
 - derived from supplementary of 6-(33,9,1980) (# 16221)
 - supplementary design of 6-(32,8,220) (# 16222) with respect to smaller t
 - Tran van Trung construction (right) for 5-(31,7,105) (# 16224) : der= 5-(31,7,105) and res= 5-(31,8,840) - the given design is the derived.
 
- clan: 6-(33,8,114), 1 times residual
 - $PSL(2,31)$
 
- clan: 5-(32,8,955)
 - $PSL(2,31)$
 
- clan: 9-(36,12,960), 4 times derived
 - $PSL(2,31)$
 - derived from 6-(33,9,960) (# 12685)
 - derived from supplementary of 6-(33,9,1965) (# 16445)
 
- clan: 5-(32,8,965)
 - $PSL(2,31)$
 
- clan: 5-(32,8,970)
 - $PSL(2,31)$
 
- clan: 25-(52,26,9), 18 times derived, 2 times residual
 - $PSL(2,31)$
 
- clan: 5-(32,8,980)
 - $PSL(2,31)$
 
- clan: 5-(32,8,985)
 - $PSL(2,31)$
 
created: Fri Oct 23 11:11:39 CEST 2009