Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×C3×#806 |
| Fitting | C22×C32×C22⋊C4 ⋊ C2 |
| Sylow | C32 ⋊ C22×#99 |
2561 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91498);