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C312 #11757201
Aliases
Subgroups
34 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 62 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)
Conjugacy classes & character table
961 conjugacy classes. The character table is too large to display.
Relationships
| center of | D9×C312, C3⋊D3×C312, AGL(1,𝔽5)×C312, … |
| derived subgroup of | C31⋊D31, #15668332, #15668333, … |
| Fitting subgroup of | C31×D31, C31⋊D31, C31×C31⋊C3, … |
| socle of | C31×D31, C31⋊D31, C31×C31⋊C3, … |
| maximal subgroup of | C31×D31, C31⋊D31, C2×C312, … |
| maximal normal subgroup of | C31×D31, C31⋊D31, C2×C312, … |
| maximal quotient of | C2×C312, C3×C312, C5×C312, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(961, 2);
Finite Group Databasebeta