Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C3×C4 |
| direct product | C2×C22⋊C4×#157 |
| Fitting | C2×C32×C22⋊C4 ⋊ C4 |
| Sylow | C32 ⋊ C2×C4×C22⋊C4 |
2034 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, 34707);