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Aliases
Subgroups
78 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 135 points:
(1,2,4,10,7,12,6,23)(3,13,16,30,19,8,18,24)(5,20,15,27,22,28,21,11)(9,26,25,14,29,32,31,17)(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);(2,8)(3,14)(4,6)(5,21)(9,27)(10,30)(11,29)(12,13)(15,22)(16,26)(17,19)(18,32)(20,25)(23,24)(28,31)
Conjugacy classes & character table
2678 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13184, 151);
Finite Group Databasebeta