Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | D11×#433 |
| Fitting | C11×#433 ⋊ C2 |
| Sylow | C11 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D11×#433, D11×#2921, D11×#2922, … |
| maximal normal subgroup of | C2×D11×#433, D11×#2921, D11×#2922, … |
| maximal quotient of | D11×#1746, D11×#1750, D11×#1768, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13132);