Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10623293 |
| Fitting | C22×C11×SD16 ⋊ C2 |
| Sylow | C11 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #14769681, #14769713, #14769765, … |
| maximal normal subgroup of | #14769681, #14769713, #14769765, … |
| maximal quotient of | C2×#13077137, C2×#13077144, C2×#13077207, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19265);