Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D11×#464 |
| Fitting | C11×#464 ⋊ C2 |
| Sylow | C11 ⋊ C2×#464 |
500 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
133 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D11×#464, D11×#3035, D11×#3037, … |
| maximal normal subgroup of | C2×D11×#464, D11×#3035, D11×#3037, … |
| maximal quotient of | D11×#1678, D11×#1680, D11×#1682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13950);