Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10588163 |
| Fitting | C2×C9×C4⋊C8 ⋊ C2 |
| Sylow | C9 ⋊ C2×#331 |
540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 10082);