Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C32 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×C3×A4×#41 |
| Fitting | C23×C3×#41 ⋊ C3 |
| Sylow | C23×#41 ⋊ C32 |
3048 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 153881);