Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622342 |
| Fitting | C2×C11×C22⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14663094, #14752104, #14752105, … |
| maximal normal subgroup of | #14663094, #14752104, #14752105, … |
| maximal quotient of | C2×#13067498, C2×#13067503, C2×#13067509, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13194);