Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D11×#99 |
| Fitting | C2×C11×#99 ⋊ C2 |
| Sylow | C11 ⋊ C22×#99 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1390, #14668718, D11×#1393, … |
| maximal normal subgroup of | D11×#1390, #14668718, D11×#1393, … |
| maximal quotient of | C2×D11×#323, C2×D11×#324, D11×#1459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12961);