Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D12×D24 |
| Fitting | C32×C4×C8 ⋊ C22 |
| Sylow | C32 ⋊ D4×D8 |
1321 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
135 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 119787);