Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D11×#413 |
| Fitting | C11×#413 ⋊ C2 |
| Sylow | C11 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1392, #14668735, D11×#1395, … |
| maximal normal subgroup of | D11×#1392, #14668735, D11×#1395, … |
| maximal quotient of | D11×#1458, D11×#1459, #14719581, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12981);