Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | SL(2,𝔽3)×C27⋊C3 |
| Fitting | Q8×C27⋊C3 ⋊ C3 |
| Sylow | Q8 ⋊ C3×C27⋊C3 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 216 |
231 conjugacy classes — view the full character table.
| maximal subgroup of | #72276014, SL(2,𝔽3)×#6875 |
| maximal normal subgroup of | SL(2,𝔽3)×#6875 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1597);