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Cayley diagramAliases
Subgroups
328 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 14 points:
(1,2);(4,6)(8,11)(9,13)(12,14);(7,8,9,11,10,12,13,14);(3,4,5,6)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | #72283094, #72283469, #72283544, … |
| Frattini subgroup of | #94775, #94781, #94798, … |
| maximal subgroup of | #9063, #9064, #9732, … |
| maximal normal subgroup of | #9063, #9064, #9732, … |
| maximal quotient of | C2×#1705, C2×#1706, C2×#1707, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1875);
Finite Group Databasebeta