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Aliases
Subgroups
412 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 127 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101)(102,103);(104,105)(106,109)(107,108)(110,111)(112,113,115,118,116,119,122,125)(114,117,121,124,120,123,126,127);(105,108)(109,111)(112,114)(113,117)(115,121)(116,120)(118,124)(119,123)(122,126)(125,127);(104,106,107,110)(105,109,108,111)(114,120)(117,123)(121,126)(124,127)
Conjugacy classes & character table
5656 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12928, 1651);
Finite Group Databasebeta