Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D11×#475 |
| Fitting | C11×#475 ⋊ C2 |
| Sylow | C11 ⋊ C2×#475 |
416 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
133 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1643, D11×#1640, D11×#1651, … |
| maximal normal subgroup of | D11×#1643, D11×#1640, D11×#1651, … |
| maximal quotient of | D11×#1803, D11×#1865, D11×#1919, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 14271);