Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×D3×Q32 |
| Fitting | C2×C32×Q32 ⋊ C2 |
| Sylow | C32 ⋊ C22×Q32 |
761 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 133483);