Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10622845 |
| Sylow | C11 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659247, #14659249, #14659290, … |
| maximal normal subgroup of | #14659247, #14659249, #14659290, … |
| maximal quotient of | C2×#13067003, C2×#13067055, #14720234, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13022);