Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10623297 |
| Fitting | C22×C11×Q16 ⋊ C2 |
| Sylow | C11 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #14669462, #14669474, #14669503, … |
| maximal normal subgroup of | #14669462, #14669474, #14669503, … |
| maximal quotient of | C2×#13077144, C2×#13077212, C2×#13077453, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19273);