Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×#68147 |
| Fitting | C32×#324 ⋊ C2 |
| Sylow | C32 ⋊ #1472 |
579 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
162 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 8111);