Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D11×#485 |
| Fitting | C11×#485 ⋊ C2 |
| Sylow | C11 ⋊ C2×#485 |
416 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
133 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D11×#485, D11×#3091, D11×#3093, … |
| maximal normal subgroup of | C2×D11×#485, D11×#3091, D11×#3093, … |
| maximal quotient of | D11×#1825, D11×#1854, D11×#1873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 14398);