Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#10588346 |
| Fitting | C2×C9×#95 ⋊ C2 |
| Sylow | C9 ⋊ C2×C4×C22⋊C4 |
2040 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 34694);