t designs with small t, id ge 7200

# 7200: 5-(32,16,1776060)

clan: 13-(32,16,132), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,723580) (# 7199)

# 7201: 5-(24,9,534)

clan: 11-(30,15,534), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7202: 5-(25,10,2136)

clan: 11-(30,15,534), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,534) (# 7201) : der= 5-(24,9,534) and res= 5-(24,10,1602) - the given design is the derived.

# 7203: 5-(24,9,54)

clan: 11-(30,15,54), 6 times derived
$PGL(2,23)$ (1 isomorphism type)

# 7204: 5-(25,10,216)

clan: 11-(30,15,54), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,54) (# 7203) : der= 5-(24,9,54) and res= 5-(24,10,162) - the given design is the derived.
$PSL(2,23)+$ TvT construction 5-(24,9,54) $\cup$ 5-(24,10,162)

# 7205: 5-(24,9,540)

clan: 13-(32,16,135), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7206: 5-(25,9,675)

clan: 13-(32,16,135), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,540) (# 7205) : der= 5-(24,8,135) and res= 5-(24,9,540) - the given design is the residual.
derived from 6-(26,10,675) (# 10537)
derived from supplementary of 6-(26,10,4170) (# 14376)

# 7207: 5-(25,10,2160)

clan: 13-(32,16,135), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,540) (# 7205) : der= 5-(24,9,540) and res= 5-(24,10,1620) - the given design is the derived.
residual design of 6-(26,10,675) (# 10537)
derived from 6-(26,11,2160) (# 14374)
residual design of supplementary of 6-(26,10,4170) (# 14376)
derived from supplementary of 6-(26,11,13344) (# 14377)

# 7208: 5-(26,10,2835)

clan: 13-(32,16,135), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,675) (# 7206) : der= 5-(25,9,675) and res= 5-(25,10,2160) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2160) (# 7207) : der= 5-(25,9,675) and res= 5-(25,10,2160) - the given design is the residual.
design 6-(26,10,675) (# 10537) with respect to smaller t
derived from 6-(27,11,2835) (# 14373)
derived from supplementary of 6-(27,11,17514) (# 14375)
supplementary design of 6-(26,10,4170) (# 14376) with respect to smaller t

# 7209: 5-(24,9,546)

clan: 11-(30,15,546), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7210: 5-(25,10,2184)

clan: 11-(30,15,546), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,546) (# 7209) : der= 5-(24,9,546) and res= 5-(24,10,1638) - the given design is the derived.

# 7211: 5-(24,9,552)

clan: 13-(32,16,138), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7212: 5-(25,9,690)

clan: 13-(32,16,138), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,552) (# 7211) : der= 5-(24,8,138) and res= 5-(24,9,552) - the given design is the residual.

# 7213: 5-(25,10,2208)

clan: 13-(32,16,138), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,552) (# 7211) : der= 5-(24,9,552) and res= 5-(24,10,1656) - the given design is the derived.

# 7214: 5-(26,10,2898)

clan: 13-(32,16,138), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,690) (# 7212) : der= 5-(25,9,690) and res= 5-(25,10,2208) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2208) (# 7213) : der= 5-(25,9,690) and res= 5-(25,10,2208) - the given design is the residual.

# 7215: 5-(24,9,558)

clan: 11-(30,15,558), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7216: 5-(25,10,2232)

clan: 11-(30,15,558), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,558) (# 7215) : der= 5-(24,9,558) and res= 5-(24,10,1674) - the given design is the derived.

# 7217: 5-(24,9,564)

clan: 13-(32,16,141), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7218: 5-(25,9,705)

clan: 13-(32,16,141), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,564) (# 7217) : der= 5-(24,8,141) and res= 5-(24,9,564) - the given design is the residual.

# 7219: 5-(25,10,2256)

clan: 13-(32,16,141), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,564) (# 7217) : der= 5-(24,9,564) and res= 5-(24,10,1692) - the given design is the derived.

# 7220: 5-(26,10,2961)

clan: 13-(32,16,141), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,705) (# 7218) : der= 5-(25,9,705) and res= 5-(25,10,2256) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2256) (# 7219) : der= 5-(25,9,705) and res= 5-(25,10,2256) - the given design is the residual.

# 7221: 5-(24,9,570)

clan: 13-(30,15,20), 2 times reduced t, 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7222: 5-(25,10,2280)

clan: 13-(30,15,20), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,570) (# 7221) : der= 5-(24,9,570) and res= 5-(24,10,1710) - the given design is the derived.

# 7223: 5-(24,9,576)

clan: 13-(32,16,144), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,9,144) (# 10417)

# 7224: 5-(25,9,720)

clan: 13-(32,16,144), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,576) (# 7223) : der= 5-(24,8,144) and res= 5-(24,9,576) - the given design is the residual.
design 6-(25,9,144) (# 10417) with respect to smaller t
derived from 6-(26,10,720) (# 10541)

# 7225: 5-(25,10,2304)

clan: 13-(32,16,144), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,576) (# 7223) : der= 5-(24,9,576) and res= 5-(24,10,1728) - the given design is the derived.
residual design of 6-(26,10,720) (# 10541)

# 7226: 5-(26,10,3024)

clan: 13-(32,16,144), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,720) (# 7224) : der= 5-(25,9,720) and res= 5-(25,10,2304) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2304) (# 7225) : der= 5-(25,9,720) and res= 5-(25,10,2304) - the given design is the residual.
design 6-(26,10,720) (# 10541) with respect to smaller t

# 7227: 5-(26,11,8064)

clan: 13-(32,16,144), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,10,2304) (# 7225) : der= 5-(25,10,2304) and res= 5-(25,11,5760) - the given design is the derived.

# 7228: 5-(27,11,11088)

clan: 13-(32,16,144), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(26,10,3024) (# 7226) : der= 5-(26,10,3024) and res= 5-(26,11,8064) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,11,8064) (# 7227) : der= 5-(26,10,3024) and res= 5-(26,11,8064) - the given design is the residual.

# 7229: 5-(27,12,25344)

clan: 13-(32,16,144), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,8064) (# 7227) : der= 5-(26,11,8064) and res= 5-(26,12,17280) - the given design is the derived.

# 7230: 5-(28,12,36432)

clan: 13-(32,16,144), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,11088) (# 7228) : der= 5-(27,11,11088) and res= 5-(27,12,25344) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,25344) (# 7229) : der= 5-(27,11,11088) and res= 5-(27,12,25344) - the given design is the residual.

# 7231: 5-(28,13,72864)

clan: 13-(32,16,144), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,25344) (# 7229) : der= 5-(27,12,25344) and res= 5-(27,13,47520) - the given design is the derived.

# 7232: 5-(29,13,109296)

clan: 13-(32,16,144), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,36432) (# 7230) : der= 5-(28,12,36432) and res= 5-(28,13,72864) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,13,72864) (# 7231) : der= 5-(28,12,36432) and res= 5-(28,13,72864) - the given design is the residual.

# 7233: 5-(29,14,194304)

clan: 13-(32,16,144), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(28,13,72864) (# 7231) : der= 5-(28,13,72864) and res= 5-(28,14,121440) - the given design is the derived.

# 7234: 5-(30,14,303600)

clan: 13-(32,16,144), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,109296) (# 7232) : der= 5-(29,13,109296) and res= 5-(29,14,194304) - the given design is the derived.
Tran van Trung construction (left) for 5-(29,14,194304) (# 7233) : der= 5-(29,13,109296) and res= 5-(29,14,194304) - the given design is the residual.

# 7235: 5-(30,15,485760)

clan: 13-(32,16,144), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(29,14,194304) (# 7233)

# 7236: 5-(31,15,789360)

clan: 13-(32,16,144), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,303600) (# 7234) : der= 5-(30,14,303600) and res= 5-(30,15,485760) - the given design is the derived.
Tran van Trung construction (left) for 5-(30,15,485760) (# 7235) : der= 5-(30,14,303600) and res= 5-(30,15,485760) - the given design is the residual.

# 7237: 5-(32,16,1937520)

clan: 13-(32,16,144), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,789360) (# 7236)

# 7238: 5-(24,9,582)

clan: 11-(30,15,582), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7239: 5-(25,10,2328)

clan: 11-(30,15,582), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,582) (# 7238) : der= 5-(24,9,582) and res= 5-(24,10,1746) - the given design is the derived.

# 7240: 5-(24,9,588)

clan: 13-(32,16,147), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7241: 5-(25,9,735)

clan: 13-(32,16,147), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,588) (# 7240) : der= 5-(24,8,147) and res= 5-(24,9,588) - the given design is the residual.

# 7242: 5-(25,10,2352)

clan: 13-(32,16,147), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,588) (# 7240) : der= 5-(24,9,588) and res= 5-(24,10,1764) - the given design is the derived.

# 7243: 5-(26,10,3087)

clan: 13-(32,16,147), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,735) (# 7241) : der= 5-(25,9,735) and res= 5-(25,10,2352) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2352) (# 7242) : der= 5-(25,9,735) and res= 5-(25,10,2352) - the given design is the residual.

# 7244: 5-(24,9,594)

clan: 11-(30,15,594), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7245: 5-(25,10,2376)

clan: 11-(30,15,594), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,594) (# 7244) : der= 5-(24,9,594) and res= 5-(24,10,1782) - the given design is the derived.

# 7246: 5-(26,11,8316)

clan: 11-(30,15,594), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,2376) (# 7245) : der= 5-(25,10,2376) and res= 5-(25,11,5940) - the given design is the derived.

# 7247: 5-(27,12,26136)

clan: 11-(30,15,594), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,8316) (# 7246) : der= 5-(26,11,8316) and res= 5-(26,12,17820) - the given design is the derived.

# 7248: 5-(28,13,75141)

clan: 11-(30,15,594), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,26136) (# 7247) : der= 5-(27,12,26136) and res= 5-(27,13,49005) - the given design is the derived.

# 7249: 5-(29,14,200376)

clan: 11-(30,15,594), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,75141) (# 7248) : der= 5-(28,13,75141) and res= 5-(28,14,125235) - the given design is the derived.

# 7250: 5-(30,15,500940)

clan: 11-(30,15,594), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,200376) (# 7249)

# 7251: 5-(24,9,6)

clan: 11-(30,15,6), 6 times derived
\cite{AssmusMattson69c} $PSL(2,23)$ (1 isomorphism type) block transitive

# 7252: 5-(24,9,60)

clan: 13-(32,16,15), 7 times derived, 1 times residual
$PGL(2,23)$ (2 isomorphism types)

# 7253: 5-(25,9,75)

clan: 13-(32,16,15), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,60) (# 7252) : der= 5-(24,8,15) and res= 5-(24,9,60) - the given design is the residual.

# 7254: 5-(25,10,240)

clan: 13-(32,16,15), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,60) (# 7252) : der= 5-(24,9,60) and res= 5-(24,10,180) - the given design is the derived.
$PSL(2,23)+$ TvT construction 5-(24,9,60) $\cup$ 5-(24,10,180)

# 7255: 5-(26,10,315)

clan: 13-(32,16,15), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,75) (# 7253) : der= 5-(25,9,75) and res= 5-(25,10,240) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,240) (# 7254) : der= 5-(25,9,75) and res= 5-(25,10,240) - the given design is the residual.

# 7256: 5-(24,9,600)

clan: 13-(32,16,150), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7257: 5-(25,9,750)

clan: 13-(32,16,150), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,600) (# 7256) : der= 5-(24,8,150) and res= 5-(24,9,600) - the given design is the residual.
derived from 6-(26,10,750) (# 10544)

# 7258: 5-(25,10,2400)

clan: 13-(32,16,150), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,600) (# 7256) : der= 5-(24,9,600) and res= 5-(24,10,1800) - the given design is the derived.
residual design of 6-(26,10,750) (# 10544)

# 7259: 5-(26,10,3150)

clan: 13-(32,16,150), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,750) (# 7257) : der= 5-(25,9,750) and res= 5-(25,10,2400) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2400) (# 7258) : der= 5-(25,9,750) and res= 5-(25,10,2400) - the given design is the residual.
design 6-(26,10,750) (# 10544) with respect to smaller t

# 7260: 5-(24,9,606)

clan: 11-(30,15,606), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7261: 5-(25,10,2424)

clan: 11-(30,15,606), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,606) (# 7260) : der= 5-(24,9,606) and res= 5-(24,10,1818) - the given design is the derived.

# 7262: 5-(24,9,612)

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

# 7263: 5-(25,9,765)

clan: 17-(36,18,3), 1 times reduced t, 9 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,9,612) (# 7262) : der= 5-(24,8,153) and res= 5-(24,9,612) - the given design is the residual.
residual design of 6-(26,9,180) (# 10568)
derived from 6-(26,10,765) (# 14386)
derived from supplementary of 6-(26,10,4080) (# 14389)

# 7264: 5-(25,10,2448)

clan: 17-(36,18,3), 1 times reduced t, 8 times derived, 3 times residual
Tran van Trung construction (right) for 5-(24,9,612) (# 7262) : der= 5-(24,9,612) and res= 5-(24,10,1836) - the given design is the derived.
residual design of 6-(26,10,765) (# 14386)
derived from 6-(26,11,2448) (# 14387)
residual design of supplementary of 6-(26,10,4080) (# 14389)
derived from supplementary of 6-(26,11,13056) (# 14390)

# 7265: 5-(26,9,945)

clan: 17-(36,18,3), 2 times reduced t, 9 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,9,765) (# 7263) : der= 5-(25,8,180) and res= 5-(25,9,765) - the given design is the residual.
$PGL(2,25)$
design 6-(26,9,180) (# 10568) with respect to smaller t
derived from 6-(27,10,945) (# 10602)

# 7266: 5-(26,10,3213)

clan: 17-(36,18,3), 2 times reduced t, 8 times derived, 2 times residual
Tran van Trung construction (right) for 5-(25,9,765) (# 7263) : der= 5-(25,9,765) and res= 5-(25,10,2448) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2448) (# 7264) : der= 5-(25,9,765) and res= 5-(25,10,2448) - the given design is the residual.
residual design of 6-(27,10,945) (# 10602)
derived from 6-(27,11,3213) (# 14385)
design 6-(26,10,765) (# 14386) with respect to smaller t
derived from supplementary of 6-(27,11,17136) (# 14388)
supplementary design of 6-(26,10,4080) (# 14389) with respect to smaller t

# 7267: 5-(27,9,1155)

clan: 17-(36,18,3), 3 times reduced t, 9 times derived
Tran van Trung construction (left) for 5-(26,9,945) (# 7265) : der= 5-(26,8,210) and res= 5-(26,9,945) - the given design is the residual.
$PGL(2,25)+$
derived from 6-(28,10,1155) (# 11638)

# 7268: 5-(27,10,4158)

clan: 17-(36,18,3), 3 times reduced t, 8 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,9,945) (# 7265) : der= 5-(26,9,945) and res= 5-(26,10,3213) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,10,3213) (# 7266) : der= 5-(26,9,945) and res= 5-(26,10,3213) - the given design is the residual.
design 6-(27,10,945) (# 10602) with respect to smaller t
residual design of 6-(28,10,1155) (# 11638)
derived from 6-(28,11,4158) (# 14395)

# 7269: 5-(28,10,5313)

clan: 17-(36,18,3), 4 times reduced t, 8 times derived
Tran van Trung construction (right) for 5-(27,9,1155) (# 7267) : der= 5-(27,9,1155) and res= 5-(27,10,4158) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,10,4158) (# 7268) : der= 5-(27,9,1155) and res= 5-(27,10,4158) - the given design is the residual.
design 6-(28,10,1155) (# 11638) with respect to smaller t
derived from 6-(29,11,5313) (# 14403)

# 7270: 5-(24,9,618)

clan: 11-(30,15,618), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7271: 5-(25,10,2472)

clan: 11-(30,15,618), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,618) (# 7270) : der= 5-(24,9,618) and res= 5-(24,10,1854) - the given design is the derived.

# 7272: 5-(24,9,624)

clan: 13-(32,16,156), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7273: 5-(25,9,780)

clan: 13-(32,16,156), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,624) (# 7272) : der= 5-(24,8,156) and res= 5-(24,9,624) - the given design is the residual.

# 7274: 5-(25,10,2496)

clan: 13-(32,16,156), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,624) (# 7272) : der= 5-(24,9,624) and res= 5-(24,10,1872) - the given design is the derived.

# 7275: 5-(26,10,3276)

clan: 13-(32,16,156), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,780) (# 7273) : der= 5-(25,9,780) and res= 5-(25,10,2496) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2496) (# 7274) : der= 5-(25,9,780) and res= 5-(25,10,2496) - the given design is the residual.

# 7276: 5-(24,9,630)

clan: 11-(30,15,630), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7277: 5-(25,10,2520)

clan: 11-(30,15,630), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,630) (# 7276) : der= 5-(24,9,630) and res= 5-(24,10,1890) - the given design is the derived.

# 7278: 5-(24,9,636)

clan: 13-(32,16,159), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7279: 5-(25,9,795)

clan: 13-(32,16,159), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,636) (# 7278) : der= 5-(24,8,159) and res= 5-(24,9,636) - the given design is the residual.
derived from 6-(26,10,795) (# 10548)

# 7280: 5-(25,10,2544)

clan: 13-(32,16,159), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,636) (# 7278) : der= 5-(24,9,636) and res= 5-(24,10,1908) - the given design is the derived.
residual design of 6-(26,10,795) (# 10548)
derived from 6-(26,11,2544) (# 14583)
derived from supplementary of 6-(26,11,12960) (# 14586)

# 7281: 5-(26,10,3339)

clan: 13-(32,16,159), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,795) (# 7279) : der= 5-(25,9,795) and res= 5-(25,10,2544) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2544) (# 7280) : der= 5-(25,9,795) and res= 5-(25,10,2544) - the given design is the residual.
design 6-(26,10,795) (# 10548) with respect to smaller t
derived from 6-(27,11,3339) (# 14590)

# 7282: 5-(24,9,642)

clan: 11-(30,15,642), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7283: 5-(25,10,2568)

clan: 11-(30,15,642), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,642) (# 7282) : der= 5-(24,9,642) and res= 5-(24,10,1926) - the given design is the derived.

# 7284: 5-(26,11,8988)

clan: 11-(30,15,642), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,2568) (# 7283) : der= 5-(25,10,2568) and res= 5-(25,11,6420) - the given design is the derived.

# 7285: 5-(27,12,28248)

clan: 11-(30,15,642), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,8988) (# 7284) : der= 5-(26,11,8988) and res= 5-(26,12,19260) - the given design is the derived.

# 7286: 5-(28,13,81213)

clan: 11-(30,15,642), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,28248) (# 7285) : der= 5-(27,12,28248) and res= 5-(27,13,52965) - the given design is the derived.

# 7287: 5-(29,14,216568)

clan: 11-(30,15,642), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,81213) (# 7286) : der= 5-(28,13,81213) and res= 5-(28,14,135355) - the given design is the derived.

# 7288: 5-(30,15,541420)

clan: 11-(30,15,642), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,216568) (# 7287)

# 7289: 5-(24,9,648)

clan: 13-(32,16,162), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7290: 5-(25,9,810)

clan: 13-(32,16,162), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,648) (# 7289) : der= 5-(24,8,162) and res= 5-(24,9,648) - the given design is the residual.
derived from 6-(26,10,810) (# 14449)
derived from supplementary of 6-(26,10,4035) (# 14452)

# 7291: 5-(25,10,2592)

clan: 13-(32,16,162), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,648) (# 7289) : der= 5-(24,9,648) and res= 5-(24,10,1944) - the given design is the derived.
residual design of 6-(26,10,810) (# 14449)
derived from 6-(26,11,2592) (# 14450)
residual design of supplementary of 6-(26,10,4035) (# 14452)
derived from supplementary of 6-(26,11,12912) (# 14453)

# 7292: 5-(26,10,3402)

clan: 13-(32,16,162), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,810) (# 7290) : der= 5-(25,9,810) and res= 5-(25,10,2592) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,2592) (# 7291) : der= 5-(25,9,810) and res= 5-(25,10,2592) - the given design is the residual.
derived from 6-(27,11,3402) (# 14448)
design 6-(26,10,810) (# 14449) with respect to smaller t
derived from supplementary of 6-(27,11,16947) (# 14451)
supplementary design of 6-(26,10,4035) (# 14452) with respect to smaller t

# 7293: 5-(24,9,654)

clan: 11-(30,15,654), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7294: 5-(25,10,2616)

clan: 11-(30,15,654), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,654) (# 7293) : der= 5-(24,9,654) and res= 5-(24,10,1962) - the given design is the derived.

# 7295: 5-(24,9,66)

clan: 11-(30,15,66), 6 times derived
$PGL(2,23)$ (2 isomorphism types)

# 7296: 5-(25,10,264)

clan: 11-(30,15,66), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,66) (# 7295) : der= 5-(24,9,66) and res= 5-(24,10,198) - the given design is the derived.
$PSL(2,23)+$ TvT construction 5-(24,9,66) $\cup$ 5-(24,10,198)

# 7297: 5-(26,11,924)

clan: 11-(30,15,66), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,264) (# 7296) : der= 5-(25,10,264) and res= 5-(25,11,660) - the given design is the derived.

# 7298: 5-(27,12,2904)

clan: 11-(30,15,66), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,924) (# 7297) : der= 5-(26,11,924) and res= 5-(26,12,1980) - the given design is the derived.

# 7299: 5-(28,13,8349)

clan: 11-(30,15,66), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,2904) (# 7298) : der= 5-(27,12,2904) and res= 5-(27,13,5445) - the given design is the derived.

created: Fri Oct 23 11:10:29 CEST 2009