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Aliases
Splittings
Subgroups
46 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 181 points:
(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(16,17)(18,19)(20,21)(22,23)(24,25)(26,27)(28,29)(30,31)(32,33)(34,35)(36,37)(38,39)(40,41)(42,43)(44,45)(46,47)(48,49)(50,51)(52,53);(1,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,53,51,49,47,45,43,41,39,37,35,33,31,29,27,25,23,21,19,17,15,13,11,9,7,5,3)(54,55,56,62,57,63,68,83,58,64,69,84,73,88,98,118,59,65,70,85,74,89,99,119,77,92,102,122,108,128,138,153,60,66,71,86,75,90,100,120,78,93,103,123,109,129,139,154,80,95,105,125,111,131,141,156,114,134,144,159,148,163,168,174,61,67,72,87,76,91,101,121,79,94,104,124,110,130,140,155,81,96,106,126,112,132,142,157,115,135,145,160,149,164,169,175,82,97,107,127,113,133,143,158,116,136,146,161,150,165,170,176,117,137,147,162,151,166,171,177,152,167,172,178,173,179,180,181)
Conjugacy classes & character table
3584 conjugacy classes. The character table is too large to display.
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 57476);
Finite Group Databasebeta