Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C2×C32 |
| direct product | D3×(C3×A4)⋊C9 |
| unambiguous semidirect product | C3⋊(C2×(C3×A4)⋊C9) |
| unambiguous semidirect product | (C3×D3×A4)⋊C9 |
| Fitting | C22×C32×C9 ⋊ C2×C3 |
377 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 377 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2579);