Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | D11×#405 |
| Fitting | C11×#405 ⋊ C2 |
| Sylow | C11 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×#1378, D11×#1379, #14668644, … |
| maximal normal subgroup of | D11×#1378, D11×#1379, #14668644, … |
| maximal quotient of | C8×M16×D11, D11×#1450, D11×#1451, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12920);