Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#82019 |
| Fitting | C2×C32×D16 ⋊ C2 |
| Sylow | C32 ⋊ #3415 |
789 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
162 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#11701722 |
| maximal normal subgroup of | C3×#11701722 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 133674);