Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D11×Q64 |
| Fitting | C11×Q64 ⋊ C2 |
| Sylow | C11 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
133 conjugacy classes — view the full character table.
| maximal subgroup of | D11×SD128, D11×Q128, #14674834, … |
| maximal normal subgroup of | D11×SD128, D11×Q128, #14674834, … |
| maximal quotient of | D11×#1416, D11×#1423, #14674356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6813);