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Aliases
Splittings
Subgroups
24 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 214 points:
(2,7,34,21,85,57,40,3,14,9,38,25,47,89,6,4,16,78,48,41,17)(5,27,119,65,182,171,186,11,59,29,123,199,183,141,26,12,61,179,116,101,120)(8,42,82,93,208,189,201,18,36,43,161,192,139,204,15,19,91,153,162,200,165)(10,53,75,113,146,149,90,23,108,55,76,77,206,160,52,24,33,144,148,205,180)(13,71,156,140,74,175,58,31,137,73,157,142,118,69,70,32,86,96,109,143,135)(20,97,187,138,54,35,150,45,121,98,84,110,79,178,60,46,166,72,159,111,80)(22,103,134,30,81,114,155,49,173,104,67,151,100,145,102,50,174,133,68,112,92)(28,125,154,117,94,87,115,62,83,126,129,164,95,88,37,63,158,196,44,39,56)(51,163,122,128,185,169,152,105,147,64,194,207,210,107,176,106,127,188,195,136,177)(66,130,202,209,168,191,211,131,197,198,99,124,170,203,181,132,184,167,190,172,193);(1,2,5,13,33,77,115,97,137,177,140,149,200,62,6,15,37,84,155,87,126,53,109,179,105,94,165,138,26,60,122,189,201,36,34,29,66,132,162,49,42,92,70,57,117,184,206,164,102,168,153,76,147,190,16,39,55,114,40,90,104,157,176,208,106,128,188,161,119,154,146,191,110,14,35,81,152,65,130,144,194,113,181,24,56,116,171,52,91,98,150,32,74,131,93,163,197,142,46,99,169,85,156,207,50,63,121,108,61,124,192,123,71,125,193,135,186,78,143,203,209,88,158,9,22,51,107,178,103,175,67,12,30,69,136,199,148,95,19,44,96,151,166,195,21,27,59,120,48,101,172,75,145,204,205,174,79,82,73,141,133,38,86,23,54,112,31,72,139,202,160,4,10,25,58,118,185,43,7,17,41,11,28,64,129,89,159,183,210,211,173,187,111,180,196,45,3,8,20,47,100,170,182,167,83,80,68,134,198,127,18)(212,213,214)
Conjugacy classes & character table
93 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13293, 9);
Finite Group Databasebeta