Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D11×#389 |
| Fitting | C11×#389 ⋊ C2 |
| Sylow | C11 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1271, #14641760, #14641773, … |
| maximal normal subgroup of | D11×#1271, #14641760, #14641773, … |
| maximal quotient of | D11×C4⋊#95, D11×#1436, #14674963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6957);