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Aliases
Subgroups
348 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 137 points:
(1,2,5,4)(3,7,8,6)(9,10)(11,18)(12,16)(13,15)(14,19)(17,21)(20,22)(23,24)(25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137);(1,3,5,8)(2,6,4,7)(9,11,12,19)(10,14,16,18)(13,20,21,24)(15,23,17,22);(10,15)(11,19)(13,21)(14,22)(16,17)(18,23);(1,4,5,2)(3,6,8,7)(11,19)(14,18)(20,24)(22,23)
Conjugacy classes & character table
3277 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 2121);
Finite Group Databasebeta