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Cayley diagramAliases
Subgroups
249 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 10 points:
(1,2);(4,6)(8,9);(7,8,10,9);(3,4,5,6)(7,9,10,8)
Conjugacy classes & character table
28 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | #153117, #153118, #153120, … |
| Frattini subgroup of | #7485, #7493, #7498, … |
| Fitting subgroup of | C2×#127⋊C3, C2×#4626, #73083, … |
| maximal subgroup of | C2×#331, #1545, #1555, … |
| maximal normal subgroup of | C2×#331, #1545, #1555, … |
| maximal quotient of | C2×#384, C2×#390, C4×#127, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(64, 211);
Finite Group Databasebeta