clan: 6-(33,8,15), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,125) (# 8214) : der= 5-(32,7,15) and res= 5-(32,8,125) - the given design is the residual.
\cite{Sebille98} $P\Gamma L(2,32)$

# 8216: 5-(32,8,130)

clan: 5-(32,8,130)
$PSL(2,31)$

# 8217: 5-(32,8,155)

clan: 5-(32,8,155)
$PSL(2,31)$

# 8218: 5-(32,8,160)

clan: 5-(32,8,160)
$PSL(2,31)$

# 8219: 5-(32,8,165)

# 8220: 5-(32,8,170)

clan: 5-(32,8,170)
$PSL(2,31)$

# 8221: 5-(32,8,175)

clan: 6-(33,8,21), 1 times residual
$PSL(2,31)$

# 8222: 5-(33,8,196)

clan: 6-(33,8,21), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,175) (# 8221) : der= 5-(32,7,21) and res= 5-(32,8,175) - the given design is the residual.

# 8223: 5-(32,8,180)

clan: 10-(36,12,20), 1 times reduced t, 4 times derived
$PSL(2,31)$
derived from 6-(33,9,180) (# 12534)

# 8224: 5-(32,8,185)

clan: 5-(32,8,185)
$PSL(2,31)$

# 8225: 5-(32,8,190)

clan: 5-(32,8,190)
$PSL(2,31)$

# 8226: 5-(32,8,195)

clan: 21-(48,24,195), 16 times derived
$PSL(2,31)$

# 8227: 5-(32,8,200)

clan: 6-(33,8,24), 1 times residual
$PSL(2,31)$

# 8228: 5-(32,8,205)

clan: 5-(32,8,205)
$PSL(2,31)$

# 8229: 5-(32,8,210)

clan: 9-(36,12,210), 4 times derived
$PSL(2,31)$

# 8230: 5-(32,8,215)

clan: 5-(32,8,215)
$PSL(2,31)$

# 8231: 5-(32,8,220)

clan: 5-(32,8,220)
$PSL(2,31)$

# 8232: 5-(32,8,225)

clan: 11-(37,12,2), 1 times reduced t, 4 times derived, 1 times residual
$PSL(2,31)$
derived from 6-(33,9,225) (# 12540)

# 8233: 5-(32,8,230)

clan: 5-(32,8,230)
$PSL(2,31)$

# 8234: 5-(32,8,235)

clan: 5-(32,8,235)
$PSL(2,31)$

# 8235: 5-(32,8,240)

# 8236: 5-(32,8,245)

clan: 5-(32,8,245)
$PSL(2,31)$

# 8237: 5-(32,8,250)

clan: 6-(33,8,30), 1 times residual
$PSL(2,31)$

# 8238: 5-(33,8,280)

clan: 6-(33,8,30), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,250) (# 8237) : der= 5-(32,7,30) and res= 5-(32,8,250) - the given design is the residual.

# 8239: 5-(32,8,255)

clan: 9-(36,12,255), 4 times derived
$PSL(2,31)$

# 8240: 5-(32,8,260)

clan: 5-(32,8,260)
$PSL(2,31)$

# 8241: 5-(32,8,265)

clan: 5-(32,8,265)
$PSL(2,31)$

# 8242: 5-(32,8,270)

clan: 10-(36,12,30), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8243: 5-(32,8,275)

clan: 6-(33,8,33), 1 times residual
$PSL(2,31)$

# 8244: 5-(32,8,280)

clan: 5-(32,8,280)
$PSL(2,31)$

# 8245: 5-(32,8,285)

# 8246: 5-(32,8,290)

clan: 5-(32,8,290)
$PSL(2,31)$

# 8247: 5-(32,8,295)

clan: 5-(32,8,295)
$PSL(2,31)$

# 8248: 5-(32,8,300)

clan: 10-(37,12,36), 4 times derived, 1 times residual
$PSL(2,31)$
residual design of 6-(33,8,36) (# 12415)
derived from 6-(33,9,300) (# 12557)

# 8249: 5-(33,8,336)

clan: 10-(37,12,36), 1 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,300) (# 8248) : der= 5-(32,7,36) and res= 5-(32,8,300) - the given design is the residual.
design 6-(33,8,36) (# 12415) with respect to smaller t
derived from 6-(34,9,336) (# 12562)

# 8250: 5-(32,8,305)

clan: 5-(32,8,305)
$PSL(2,31)$

# 8251: 5-(32,8,310)

clan: 5-(32,8,310)
$PSL(2,31)$

# 8252: 5-(32,8,315)

clan: 10-(36,12,35), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8253: 5-(32,8,320)

clan: 5-(32,8,320)
$PSL(2,31)$

# 8254: 5-(32,8,325)

clan: 7-(34,8,3), 2 times residual
$PSL(2,31)$

# 8255: 5-(32,8,330)

clan: 9-(36,12,330), 4 times derived
$PSL(2,31)$

# 8256: 5-(32,8,335)

clan: 5-(32,8,335)
$PSL(2,31)$

# 8257: 5-(32,8,340)

clan: 5-(32,8,340)
$PSL(2,31)$

# 8258: 5-(32,8,345)

# 8259: 5-(32,8,350)

clan: 6-(33,8,42), 1 times residual
$PSL(2,31)$

# 8260: 5-(32,8,355)

clan: 5-(32,8,355)
$PSL(2,31)$

# 8261: 5-(32,8,360)

clan: 10-(36,12,40), 1 times reduced t, 4 times derived
$PSL(2,31)$
derived from 6-(33,9,360) (# 12571)

# 8262: 5-(32,8,365)

clan: 5-(32,8,365)
$AGL(4,2)\times C_2$ 4 solutions

# 8263: 5-(32,8,370)

clan: 5-(32,8,370)
$PSL(2,31)$

# 8264: 5-(32,8,375)

clan: 10-(37,12,45), 4 times derived, 1 times residual
$PSL(2,31)$

# 8265: 5-(33,8,420)

clan: 10-(37,12,45), 1 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,375) (# 8264) : der= 5-(32,7,45) and res= 5-(32,8,375) - the given design is the residual.

# 8266: 5-(32,8,380)

clan: 5-(32,8,380)
$PSL(2,31)$

# 8267: 5-(32,8,385)

clan: 5-(32,8,385)
$PSL(2,31)$

# 8268: 5-(32,8,390)

clan: 21-(48,24,390), 16 times derived
$PSL(2,31)$

# 8269: 5-(32,8,395)

clan: 5-(32,8,395)
$PSL(2,31)$

# 8270: 5-(32,8,400)

clan: 6-(33,8,48), 1 times residual
$AGL(4,2)\times C_2$ 8 solutions

# 8271: 5-(32,8,405)

clan: 10-(36,12,45), 1 times reduced t, 4 times derived
$AGL(4,2)\times C_2$ 1 solution
derived from 6-(33,9,405) (# 12577)

# 8272: 5-(32,8,410)

clan: 5-(32,8,410)
$PSL(2,31)$

# 8273: 5-(32,8,415)

clan: 5-(32,8,415)
$PSL(2,31)$

# 8274: 5-(32,8,420)

clan: 9-(36,12,420), 4 times derived
$AGL(4,2)\times C_2$ 6 solutions
$PSL(2,31)$
derived from 6-(33,9,420) (# 12583)

# 8275: 5-(32,8,425)

clan: 6-(33,8,51), 1 times residual
$AGL(4,2)\times C_2$ 5 solutions

# 8276: 5-(33,8,476)

clan: 6-(33,8,51), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,425) (# 8275) : der= 5-(32,7,51) and res= 5-(32,8,425) - the given design is the residual.

# 8277: 5-(32,8,430)

clan: 5-(32,8,430)
$PSL(2,31)$

# 8278: 5-(32,8,435)

clan: 9-(36,12,435), 4 times derived
$PSL(2,31)$

# 8279: 5-(32,8,440)

clan: 5-(32,8,440)
$AGL(4,2)\times C_2$ 2 solutions

# 8280: 5-(32,8,445)

clan: 5-(32,8,445)
$PSL(2,31)$

# 8281: 5-(32,8,450)

clan: 11-(37,12,4), 1 times reduced t, 4 times derived, 1 times residual
$PSL(2,31)$

# 8282: 5-(32,8,455)

clan: 5-(32,8,455)
$PSL(2,31)$

# 8283: 5-(32,8,460)

clan: 5-(32,8,460)
$AGL(4,2)\times C_2$ 37 solutions

# 8284: 5-(32,8,465)

clan: 9-(36,12,465), 4 times derived
$AGL(4,2)\times C_2$ 12 solutions
derived from 6-(33,9,465) (# 12589)

# 8285: 5-(32,8,470)

clan: 5-(32,8,470)
$PSL(2,31)$

# 8286: 5-(32,8,475)

clan: 6-(33,8,57), 1 times residual
$PSL(2,31)$

# 8287: 5-(32,8,480)

# 8288: 5-(32,8,485)

clan: 5-(32,8,485)
$PSL(2,31)$

# 8289: 5-(32,8,490)

clan: 5-(32,8,490)
$PSL(2,31)$

# 8290: 5-(32,8,495)

clan: 10-(36,12,55), 1 times reduced t, 4 times derived
$PSL(2,31)$

# 8291: 5-(32,8,500)

clan: 6-(33,8,60), 1 times residual
$AGL(4,2)\times C_2$ 118 solutions
$PSL(2,31)$

# 8292: 5-(33,8,560)

clan: 6-(33,8,60), 1 times reduced t
Tran van Trung construction (left) for 5-(32,8,500) (# 8291) : der= 5-(32,7,60) and res= 5-(32,8,500) - the given design is the residual.

# 8293: 5-(32,8,505)

clan: 5-(32,8,505)
$AGL(4,2)\times C_2$ 95 solutions

# 8294: 5-(32,8,520)

clan: 5-(32,8,520)
$PSL(2,31)$

# 8295: 5-(32,8,525)

clan: 10-(37,12,63), 4 times derived, 1 times residual
$AGL(4,2)\times C_2$ 6 solutions
derived from 6-(33,9,525) (# 16341)
derived from supplementary of 6-(33,9,2400) (# 16343)

# 8296: 5-(33,8,588)

clan: 10-(37,12,63), 1 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(32,8,525) (# 8295) : der= 5-(32,7,63) and res= 5-(32,8,525) - the given design is the residual.

# 8297: 5-(32,8,530)

clan: 5-(32,8,530)
$PSL(2,31)$

# 8298: 5-(32,8,535)

clan: 5-(32,8,535)
$PSL(2,31)$

# 8299: 5-(32,8,540)

clan: 10-(36,12,60), 1 times reduced t, 4 times derived
$AGL(4,2)\times C_2$ 174 solutions
derived from 6-(33,9,540) (# 12601)
design 6-(32,8,60) (# 16284) with respect to smaller t
derived from supplementary of 6-(33,9,2385) (# 16286)
supplementary design of 6-(32,8,265) (# 16287) with respect to smaller t
Tran van Trung construction (right) for 5-(31,7,60) (# 16289) : der= 5-(31,7,60) and res= 5-(31,8,480) - the given design is the derived.
Tran van Trung construction (left) for 5-(31,8,480) (# 16290) : der= 5-(31,7,60) and res= 5-(31,8,480) - the given design is the residual.

created: Fri Oct 23 11:11:38 CEST 2009