Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C3×C4 |
| direct product | C4×D4×#157 |
| Fitting | C32×C4×D4 ⋊ C4 |
| Sylow | C32 ⋊ C42×D4 |
1350 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 34820);