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Aliases
Subgroups
84 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 139 points:
(1,2)(3,11,13,26)(4,15,17,31)(5,19,21,9)(6,10)(7,12,22,29)(8,18)(14,28,20,27)(16,23,30,24)(25,32)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139);(1,3)(2,7,10,24)(4,16)(5,20)(6,14)(8,11,25,28)(9,22,19,23)(12,17)(13,21)(15,26,31,27)(18,30)(29,32)
Conjugacy classes & character table
1819 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13696, 146);
Finite Group Databasebeta