Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C28 |
| direct product | C3×#87046 |
| Fitting | C32×Q82 ⋊ C2 |
| Sylow | C32 ⋊ #3502 |
2034 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
207 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 140276);