Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10623279 |
| Fitting | C22×C11×M16 ⋊ C2 |
| Sylow | C11 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14660543, #14660547, #14660550, … |
| maximal normal subgroup of | #14660543, #14660547, #14660550, … |
| maximal quotient of | C2×#13077136, C2×#13077206, C2×#13077418, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19257);