Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D11×#424 |
| Fitting | C11×#424 ⋊ C2 |
| Sylow | C11 ⋊ C2×#424 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1323, #14662915, #14662918, … |
| maximal normal subgroup of | D11×#1323, #14662915, #14662918, … |
| maximal quotient of | D11×#1570, D11×#1571, D11×#1572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13066);