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Aliases
Subgroups
76 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 91 points:
(6,8)(9,10,12,11)(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);(1,2,3,4)(5,6,7,8)(9,11,12,10)
Conjugacy classes & character table
1580 conjugacy classes. The character table is too large to display.
Relationships
| maximal subgroup of | #327×C79, #328×C79, C2×#95×C79, … |
| maximal normal subgroup of | #327×C79, #328×C79, C2×#95×C79, … |
| maximal quotient of | #336×C79, H(3,ℤ/4)×C79, #338×C79, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2528, 2);
Finite Group Databasebeta