t designs with small t, id ge 5800

• clan: 5-(24,8,547)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5801: 5-(24,8,548)

• clan: 5-(24,8,548)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5802: 5-(24,8,549)

• clan: 13-(32,16,549), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,420) (# 10458)

# 5803: 5-(24,8,55)

• clan: 5-(24,8,55)
• $PGL(2,23)$

# 5804: 5-(24,8,550)

• clan: 5-(24,8,550)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5805: 5-(24,8,551)

• clan: 6-(24,8,87), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5806: 5-(24,8,552)

• clan: 13-(32,16,552), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5807: 5-(24,8,553)

• clan: 5-(24,8,553)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5808: 5-(24,8,554)

• clan: 5-(24,8,554)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5809: 5-(24,8,555)

• clan: 13-(32,16,555), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5810: 5-(24,8,556)

• clan: 5-(24,8,556)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5811: 5-(24,8,557)

• clan: 5-(24,8,557)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5812: 5-(24,8,558)

• clan: 13-(32,16,558), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5813: 5-(24,8,559)

• clan: 5-(24,8,559)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5814: 5-(24,8,56)

• clan: 5-(24,8,56)
• $PGL(2,23)$

# 5815: 5-(24,8,560)

• clan: 5-(24,8,560)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5816: 5-(24,8,561)

• clan: 17-(36,18,11), 10 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of supplementary of 6-(25,8,72) (# 10408)

# 5817: 5-(24,8,562)

• clan: 5-(24,8,562)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5818: 5-(24,8,563)

• clan: 5-(24,8,563)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5819: 5-(24,8,564)

• clan: 13-(32,16,564), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,405) (# 10455)

# 5820: 5-(24,8,565)

• clan: 5-(24,8,565)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5821: 5-(24,8,566)

• clan: 5-(24,8,566)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5822: 5-(24,8,567)

• clan: 13-(32,16,567), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5823: 5-(24,8,568)

• clan: 5-(24,8,568)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5824: 5-(24,8,569)

• clan: 5-(24,8,569)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5825: 5-(24,8,57)

• clan: 15-(32,16,1), 2 times reduced t, 8 times derived
• $PGL(2,23)$

# 5826: 5-(24,8,570)

• clan: 15-(32,16,10), 2 times reduced t, 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• supplementary design of 6-(24,8,63) (# 9846) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,7,90) (# 9849) : der= 5-(23,7,90) and res= 5-(23,8,480) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,8,480) (# 9850) : der= 5-(23,7,90) and res= 5-(23,8,480) - the given design is the residual.
• design 6-(24,8,90) (# 13371) with respect to smaller t

# 5827: 5-(24,8,571)

• clan: 5-(24,8,571)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5828: 5-(24,8,572)

• clan: 5-(24,8,572)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5829: 5-(24,8,573)

• clan: 13-(32,16,573), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5830: 5-(24,8,574)

• clan: 5-(24,8,574)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5831: 5-(24,8,575)

• clan: 5-(24,8,575)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5832: 5-(24,8,576)

• clan: 13-(32,16,576), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• $M_{12}\times id_2$

# 5833: 5-(24,8,577)

• clan: 5-(24,8,577)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5834: 5-(24,8,578)

• clan: 6-(25,8,102), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5835: 5-(24,8,579)

• clan: 13-(32,16,579), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5836: 5-(24,8,58)

• clan: 5-(24,8,58)
• $PGL(2,23)$

# 5837: 5-(24,8,580)

• clan: 5-(24,8,580)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5838: 5-(24,8,581)

• clan: 5-(24,8,581)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5839: 5-(24,8,582)

• clan: 13-(32,16,582), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5840: 5-(24,8,583)

• clan: 5-(24,8,583)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5841: 5-(24,8,584)

• clan: 5-(24,8,584)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5842: 5-(24,8,585)

• clan: 13-(32,16,585), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,384) (# 10452)

# 5843: 5-(24,8,586)

• clan: 5-(24,8,586)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5844: 5-(24,8,587)

• clan: 5-(24,8,587)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5845: 5-(24,8,588)

• clan: 13-(32,16,588), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5846: 5-(24,8,589)

• clan: 6-(24,8,93), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5847: 5-(24,8,59)

• clan: 5-(24,8,59)
• $PGL(2,23)$

# 5848: 5-(24,8,590)

• clan: 5-(24,8,590)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5849: 5-(24,8,591)

• clan: 13-(32,16,591), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5850: 5-(24,8,592)

• clan: 5-(24,8,592)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5851: 5-(24,8,593)

• clan: 5-(24,8,593)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5852: 5-(24,8,594)

• clan: 13-(32,16,594), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5853: 5-(24,8,595)

• clan: 6-(25,8,105), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5854: 5-(24,8,596)

• clan: 5-(24,8,596)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5855: 5-(24,8,597)

• clan: 13-(32,16,597), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5856: 5-(24,8,598)

• clan: 5-(24,8,598)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5857: 5-(24,8,599)

• clan: 5-(24,8,599)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5858: 5-(24,8,6)

• clan: 13-(32,16,6), 8 times derived
• \cite{KramerMagliveras74}

# 5859: 5-(24,8,60)

• clan: 13-(32,16,60), 8 times derived
• $PGL(2,23)$

# 5860: 5-(24,8,600)

• clan: 13-(32,16,600), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,369) (# 10449)

# 5861: 5-(24,8,601)

• clan: 5-(24,8,601)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5862: 5-(24,8,602)

• clan: 5-(24,8,602)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5863: 5-(24,8,603)

• clan: 13-(32,16,603), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5864: 5-(24,8,604)

• clan: 5-(24,8,604)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5865: 5-(24,8,605)

• clan: 5-(24,8,605)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5866: 5-(24,8,606)

• clan: 13-(32,16,606), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5867: 5-(24,8,607)

• clan: 5-(24,8,607)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5868: 5-(24,8,608)

• clan: 6-(24,8,96), 1 times reduced t
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5869: 5-(24,8,609)

• clan: 13-(32,16,609), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• derived from supplementary of 6-(25,9,360) (# 10446)

# 5870: 5-(24,8,61)

• clan: 5-(24,8,61)
• $PGL(2,23)$

# 5871: 5-(24,8,610)

• clan: 5-(24,8,610)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5872: 5-(24,8,611)

• clan: 5-(24,8,611)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5873: 5-(24,8,612)

• clan: 17-(36,18,12), 10 times derived, 2 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of supplementary of 6-(25,8,63) (# 10405)
• derived from supplementary of 6-(25,9,357) (# 13776)
• residual design of 6-(25,8,108) (# 13778)
• derived from 6-(25,9,612) (# 13779)

# 5874: 5-(24,8,613)

• clan: 5-(24,8,613)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5875: 5-(24,8,614)

• clan: 5-(24,8,614)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5876: 5-(24,8,615)

• clan: 13-(32,16,615), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5877: 5-(24,8,616)

• clan: 5-(24,8,616)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5878: 5-(24,8,617)

• clan: 5-(24,8,617)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5879: 5-(24,8,618)

• clan: 13-(32,16,618), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5880: 5-(24,8,619)

• clan: 5-(24,8,619)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5881: 5-(24,8,62)

• clan: 5-(24,8,62)
• $PGL(2,23)$

# 5882: 5-(24,8,620)

• clan: 5-(24,8,620)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5883: 5-(24,8,621)

• clan: 13-(32,16,621), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5884: 5-(24,8,622)

• clan: 5-(24,8,622)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5885: 5-(24,8,623)

• clan: 5-(24,8,623)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5886: 5-(24,8,624)

• clan: 13-(32,16,624), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5887: 5-(24,8,625)

• clan: 5-(24,8,625)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5888: 5-(24,8,626)

• clan: 5-(24,8,626)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5889: 5-(24,8,627)

• clan: 15-(32,16,11), 2 times reduced t, 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• supplementary design of 6-(24,8,54) (# 9841) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,7,99) (# 9844) : der= 5-(23,7,99) and res= 5-(23,8,528) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,8,528) (# 9845) : der= 5-(23,7,99) and res= 5-(23,8,528) - the given design is the residual.
• design 6-(24,8,99) (# 13317) with respect to smaller t
• derived from supplementary of 6-(25,9,342) (# 13325)
• derived from 6-(25,9,627) (# 13327)

# 5890: 5-(24,8,628)

• clan: 5-(24,8,628)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5891: 5-(24,8,629)

• clan: 6-(25,8,111), 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5892: 5-(24,8,63)

• clan: 13-(32,16,63), 8 times derived
• $PGL(2,23)$

# 5893: 5-(24,8,630)

• clan: 13-(32,16,630), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5894: 5-(24,8,631)

• clan: 5-(24,8,631)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5895: 5-(24,8,632)

• clan: 5-(24,8,632)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5896: 5-(24,8,633)

• clan: 13-(32,16,633), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5897: 5-(24,8,634)

• clan: 5-(24,8,634)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5898: 5-(24,8,635)

• clan: 5-(24,8,635)
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5899: 5-(24,8,636)

• clan: 13-(32,16,636), 8 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:12 CEST 2009