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Aliases
Subgroups
452 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 135 points:
(1,2)(3,13)(4,18)(5,10)(6,11)(7,12)(8,16)(9,20)(14,28)(15,24)(17,23)(19,25)(21,26)(22,31)(27,30)(29,32)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135);(1,3,6,16,7,17,5,15)(2,8,10,13,12,24,11,23)(4,14,20,30,21,31,19,29)(9,22,18,27,25,28,26,32);(1,4)(2,9)(3,14)(5,19)(6,20)(7,21)(8,22)(10,18)(11,26)(12,25)(13,27)(15,29)(16,30)(17,31)(23,32)(24,28);(1,5,7,6)(2,10,12,11)(3,15,17,16)(4,19,21,20)(8,13,24,23)(9,18,25,26)(14,29,31,30)(22,27,28,32)
Conjugacy classes & character table
3296 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 1799);
Finite Group Databasebeta