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Aliases
Splittings
Subgroups
46 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 183 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)(56,57,58,64,59,65,70,85,60,66,71,86,75,90,100,120,61,67,72,87,76,91,101,121,79,94,104,124,110,130,140,155,62,68,73,88,77,92,102,122,80,95,105,125,111,131,141,156,82,97,107,127,113,133,143,158,116,136,146,161,150,165,170,176,63,69,74,89,78,93,103,123,81,96,106,126,112,132,142,157,83,98,108,128,114,134,144,159,117,137,147,162,151,166,171,177,84,99,109,129,115,135,145,160,118,138,148,163,152,167,172,178,119,139,149,164,153,168,173,179,154,169,174,180,175,181,182,183);(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)
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, 57477);
Finite Group Databasebeta