Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C3×#68705 |
| Fitting | C32×H(3,ℤ/4) ⋊ C2 |
| Sylow | C32 ⋊ #1911 |
771 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
153 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 22785);