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Aliases
Subgroups
144 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 135 points:
(1,2,6,12,8,13,7,23)(3,14,17,30,18,31,24,29)(4,19,20,11,5,10,21,28)(9,22,25,32,27,15,26,16)(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)(2,9)(4,15)(5,22)(6,17)(7,24)(8,18)(10,14)(11,29)(12,25)(13,27)(16,20)(19,31)(21,32)(23,26)(28,30);(1,4,6,20,8,5,7,21)(2,10,12,28,13,19,23,11)(3,15,17,16,18,22,24,32)(9,14,25,30,27,31,26,29)
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, 911);
Finite Group Databasebeta