Finite Group DatabasebetaFinite Group Databasebeta| order | 972 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C2×C34 |
| direct product | C3×#66362 |
| Fitting | C22×C3×H(3,𝔽3) ⋊ C3 |
| Sylow | C22 ⋊ C3×#732 |
224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 162 |
84 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(972, 560);