Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | D11×#410 |
| Fitting | C11×#410 ⋊ C2 |
| Sylow | C11 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1391, #14668729, D11×#1395, … |
| maximal normal subgroup of | D11×#1391, #14668729, D11×#1395, … |
| maximal quotient of | D11×#1458, D11×#1460, D11×#1461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12964);