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C11×A5 #10620344
Aliases
Subgroups
18 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 16 points:
(1,2,3,4,5,6,7,8,9,10,11)(12,13,14,15,16);(12,13,14)
Conjugacy classes & character table
55 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | C11⋊S5, D11×A5, C11⋊C5×A5, … |
| socle of | C11×S5, C11⋊S5, D11×A5, … |
| maximal subgroup of | C11×S5, C11⋊S5, D11×A5, … |
| maximal normal subgroup of | C11×S5, C11⋊S5, D11×A5, … |
| maximal quotient of | C11×SL(2,𝔽5), C2×C11×A5, C3×C11×A5, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(660, 14);
Finite Group Databasebeta