Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10622637 |
| Sylow | C11 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14644361, #14644363, #14644601, … |
| maximal normal subgroup of | #14644361, #14644363, #14644601, … |
| maximal quotient of | C2×#13068491, C2×#13068485, C4×#10622637, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13438);