Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×C27⋊SL(2,𝔽3) |
| Fitting | C3×Q8×C27 ⋊ C3 |
| Sylow | Q8 ⋊ C3×C27⋊C3 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
279 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1595);