Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D11×#367 |
| Fitting | C11×#367 ⋊ C2 |
| Sylow | C11 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1418, D11×#1426, C2×D11×#367, … |
| maximal normal subgroup of | D11×#1418, D11×#1426, C2×D11×#367, … |
| maximal quotient of | D11×#1372, #14665416, #14665456, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6288);