Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of SU(3,𝔽2) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×SU(3,𝔽2) |
| Fitting, Sylow | C9×H(3,𝔽3) ⋊ Q8 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 243 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2329);