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Cayley diagramAliases
Subgroups
145 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 14 points:
(1,2);(4,6)(7,8,11,14)(9,13,10,12);(7,9,11,10)(8,12,14,13);(3,4,5,6)(7,10,11,9)(8,13,14,12)
Conjugacy classes & character table
28 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | #153123, #153124, #153126, … |
| Frattini subgroup of | #7483, #7491, #7499, … |
| maximal subgroup of | C2×#332, C2×#333, #1546, … |
| maximal normal subgroup of | C2×#332, C2×#333, #1546, … |
| maximal quotient of | C2×#384, C2×#389, C2×#391, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(64, 212);
Finite Group Databasebeta