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Aliases
Subgroups
144 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 133 points:
(1,2,6,10,7,12,23,11)(3,13,16,26,18,31,17,32)(4,19,5,21,20,9,24,29)(8,25,27,14,28,22,30,15)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133);(1,3)(2,8)(4,14)(5,22)(6,16)(7,18)(9,26)(10,27)(11,30)(12,28)(13,21)(15,20)(17,23)(19,32)(24,25)(29,31);(1,4,6,5,7,20,23,24)(2,9,10,29,12,19,11,21)(3,14,16,22,18,15,17,25)(8,26,27,31,28,32,30,13)
Conjugacy classes & character table
3232 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12928, 911);
Finite Group Databasebeta