Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C3 |
| direct product | C2×#10596642 |
| Fitting | C22×C32×D4 ⋊ C4 |
| Sylow | C32 ⋊ C2×#518 |
3282 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 134017);