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Aliases
Splittings
Subgroups
46 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 207 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)(54,55)(56,57)(58,59)(60,61)(62,63)(64,65)(66,67)(68,69)(70,71)(72,73)(74,75)(76,77)(78,79);(1,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,79,77,75,73,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,41,39,37,35,33,31,29,27,25,23,21,19,17,15,13,11,9,7,5,3)(80,81,82,88,83,89,94,109,84,90,95,110,99,114,124,144,85,91,96,111,100,115,125,145,103,118,128,148,134,154,164,179,86,92,97,112,101,116,126,146,104,119,129,149,135,155,165,180,106,121,131,151,137,157,167,182,140,160,170,185,174,189,194,200,87,93,98,113,102,117,127,147,105,120,130,150,136,156,166,181,107,122,132,152,138,158,168,183,141,161,171,186,175,190,195,201,108,123,133,153,139,159,169,184,142,162,172,187,176,191,196,202,143,163,173,188,177,192,197,203,178,193,198,204,199,205,206,207)
Conjugacy classes & character table
5248 conjugacy classes. The character table is too large to display.
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 57476);
Finite Group Databasebeta