Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10622752 |
| Fitting | C22×C11×M16 ⋊ C2 |
| Sylow | C11 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659238, #14659240, #14659243, … |
| maximal normal subgroup of | #14659238, #14659240, #14659243, … |
| maximal quotient of | C2×#13067006, C2×#13067010, C2×#13067001, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13051);