Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D11×#407 |
| Fitting | C11×#407 ⋊ C2 |
| Sylow | C11 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1284, #14643495, #14643499, … |
| maximal normal subgroup of | D11×#1284, #14643495, #14643499, … |
| maximal quotient of | D11×#1462, D11×#1463, D11×#1464, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12943);