Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×#6171⋊C3 |
| unambiguous semidirect product | #6171⋊C32 |
| unambiguous semidirect product | (C3×#6171)⋊C3 |
| Fitting | C22×C3×C27⋊C3 ⋊ C2 |
| Sylow | C3×C27⋊C3 ⋊ D4 |
282 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 78 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
225 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1840);