Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C3×#87298 |
| Fitting | C32×#585 ⋊ C2 |
| Sylow | C32 ⋊ #3585 |
3333 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
225 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#11661868, #72245974 |
| maximal normal subgroup of | C3×#11661868 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 153042);