Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#82035 |
| Fitting | C32×#509 ⋊ C2 |
| Sylow | C32 ⋊ #3414 |
773 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10948643, C3×#11701722, #72222754, … |
| maximal normal subgroup of | C3×#10948643, C3×#11701722, #72222754, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 133633);