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Cayley diagramAliases
Subgroups
165 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 14 points:
(1,2);(4,5)(9,13)(11,14);(3,4,6,5)(7,8,10,12)(9,11,13,14);(3,5,6,4)(7,9)(8,11)(10,13)(12,14)
Conjugacy classes & character table
28 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | #153129, #153130, #153132, … |
| Frattini subgroup of | #7481, #7487, #7489, … |
| maximal subgroup of | #1469, C2×#329, #1527, … |
| maximal normal subgroup of | #1469, C2×#329, #1527, … |
| maximal quotient of | C2×#382, C2×#388, C2×#390, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(64, 207);
Finite Group Databasebeta