Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C3 |
| direct product | C3×(C27⋊C3)⋊Q8 |
| unambiguous semidirect product | Dic54⋊C32 |
| unambiguous semidirect product | (C3×Dic54)⋊C3 |
| Sylow | C3×C27⋊C3 ⋊ Q8 |
198 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 198 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) = 216 |
225 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1734);