Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | D11×#391 |
| Fitting | C11×#391 ⋊ C2 |
| Sylow | C11 ⋊ C2×#391 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1272, #14641769, #14641860, … |
| maximal normal subgroup of | D11×#1272, #14641769, #14641860, … |
| maximal quotient of | D11×C4⋊#95, D11×#1436, #14674971, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6976);