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Aliases
Subgroups
152 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 139 points:
(1,2,3,4)(5,6)(7,16)(8,12)(9,22)(10,15)(11,19)(13,17)(14,21)(18,29)(20,31)(23,27)(24,32)(25,36)(26,35)(28,33)(30,34)(37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139);(5,7,17,32,8,18,23,35,10,20,33,36,21,34,9,19)(6,11,22,30,14,25,28,31,15,26,27,29,12,24,13,16);(5,8,10,21)(6,12,15,14)(7,18,20,34)(9,17,23,33)(11,24,26,25)(13,27,28,22)(16,29,31,30)(19,32,35,36)
Conjugacy classes & character table
4532 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 890);
Finite Group Databasebeta