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Aliases
Subgroups
484 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 123 points:
(1,2)(3,4)(5,6,10,9)(7,14,17,20)(8,12,18,13)(11,15,19,16)(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123);(5,7)(6,11)(8,15)(9,19)(10,17)(12,14)(13,20)(16,18);(2,4)(5,8,10,18)(6,12,9,13)(7,15,17,16)(11,14,19,20);(5,9)(6,10)(7,14)(8,13)(11,16)(12,18)(15,19)(17,20)
Conjugacy classes & character table
3605 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 2015);
Finite Group Databasebeta