Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D11×#135 |
| Fitting | C2×C11×#135 ⋊ C2 |
| Sylow | C11 ⋊ C22×#135 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | #14669426, #14669430, D11×#1876, … |
| maximal normal subgroup of | #14669426, #14669430, D11×#1876, … |
| maximal quotient of | C2×D11×#416, C2×D11×#427, C2×C4×D8×D11, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19234);