Finite Group DatabasebetaFinite Group Databasebeta| order | 972 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C2×C34 |
| direct product | C3×#66358 |
| Fitting | C22×C32×C9 ⋊ C3 |
| Sylow | C22 ⋊ C3×#732 |
218 conjugacy classes of subgroups.
| transitive degree | μt(G) = 162 |
132 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(972, 549);