Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#10622279 |
| Fitting | C2×C11×#95 ⋊ C2 |
| Sylow | C11 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14643365, #14643377, #14643759, … |
| maximal normal subgroup of | #14643365, #14643377, #14643759, … |
| maximal quotient of | C2×#95×Dic11, C4×#10622279, C2×(C2×D11)⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6839);