Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×D11×#131 |
| Fitting | C2×C11×#131 ⋊ C2 |
| Sylow | C11 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14669216, D11×#1757, D11×#1764, … |
| maximal normal subgroup of | #14669216, D11×#1757, D11×#1764, … |
| maximal quotient of | C2×D11×#405, C4×D11×#131, C2×#131×Dic11, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19213);