Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of PSU(3,𝔽2)⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
| direct product | C9×PSU(3,𝔽2)⋊C3 |
| Fitting | C32×C9 ⋊ SL(2,𝔽3) |
| derived | PSU(3,𝔽2) ⋊ C3×C9 |
116 conjugacy classes of subgroups.
| transitive degree | μt(G) = 72 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | C9×AGL(2,𝔽3) |
| maximal normal subgroup of | C9×AGL(2,𝔽3) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3440);