Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10596518 |
| Fitting | C2×C32×D4 ⋊ D4 |
| Sylow | C32 ⋊ C2×#546 |
3026 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
90 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 136493);