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C133 #14555588
Aliases
Subgroups
368 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 39 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)
Conjugacy classes & character table
2197 conjugacy classes. The character table is too large to display.
Relationships
| socle of | C132×C169 |
| maximal subgroup of | C132⋊C169, H(3,𝔽13)⋊C13, #43270034, … |
| maximal normal subgroup of | C132⋊C169, H(3,𝔽13)⋊C13, #43270034, … |
| maximal quotient of | C132×C169, C13×H(3,𝔽13), C13×13−1+2, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2197, 5);
Finite Group Databasebeta