Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | D3×(C2×D3)⋊C16 |
| Fitting | C2×C32×C16 ⋊ C22 |
| Sylow | C32 ⋊ C2×C22⋊C16 |
577 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
216 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 29971);