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C113 #13050606
Aliases
Subgroups
268 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 33 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)
Conjugacy classes & character table
1331 conjugacy classes. The character table is too large to display.
Relationships
| socle of | C112×C121 |
| maximal subgroup of | C112⋊C121, H(3,𝔽11)⋊C11, #28410730, … |
| maximal normal subgroup of | C112⋊C121, H(3,𝔽11)⋊C11, #28410730, … |
| maximal quotient of | C112×C121, C11×H(3,𝔽11), C11×11−1+2, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1331, 5);
Finite Group Databasebeta