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Cayley diagramAliases
Subgroups
940 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 16 points:
(3,4);(1,2)(3,4);(10,12)(13,14,16,15);(5,6,7,8)(9,10,11,12)(13,15,16,14)
Conjugacy classes & character table
80 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | C22⋊(#95⋊C3), #7555⋊C3, #7556⋊C3, … |
| Frattini subgroup of | #93300, #93372, #93557, … |
| Fitting subgroup of | C22×#95⋊C3, A4×#95, C22⋊(#95⋊C3), … |
| maximal subgroup of | #7554, #7555, #7556, … |
| maximal normal subgroup of | #7554, #7555, #7556, … |
| maximal quotient of | C2×C4×#95, C2×C22⋊#95, C2×C4⋊#95, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 998);
Finite Group Databasebeta