Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | D11×#322 |
| Fitting | C11×#322 ⋊ C2 |
| Sylow | C11 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×#1313, #14662772, #14662824, … |
| maximal normal subgroup of | D11×#1313, #14662772, #14662824, … |
| maximal quotient of | Dic11×#322, D11×#1273, #14644195, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2784);