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C13×A5 #11715930
Aliases
Subgroups
18 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 18 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18);(14,15,16)
Conjugacy classes & character table
65 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | C13⋊S5, D13×A5, C13⋊C3×A5, … |
| socle of | C13⋊S5, C13×S5, D13×A5, … |
| maximal subgroup of | C13⋊S5, C13×S5, D13×A5, … |
| maximal normal subgroup of | C13⋊S5, C13×S5, D13×A5, … |
| maximal quotient of | C13×SL(2,𝔽5), C2×C13×A5, C3×C13×A5, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(780, 13);
Finite Group Databasebeta