Finite Group DatabasebetaFinite Group Databasebeta| order | 2916 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2 |
| direct product | D3×D9×3−1+2 |
| Fitting, Sylow | C3×C9×3−1+2 ⋊ C22 |
520 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 91 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
198 conjugacy classes — view the full character table.
| maximal subgroup of | D92×3−1+2, D3×3−1+2×AGL(1,ℤ/9), D9×#92265, … |
| maximal normal subgroup of | D3×3−1+2×AGL(1,ℤ/9), D3×D9×AGL(1,ℤ/9) |
| maximal quotient of | D92×3−1+2, D9×#92265, D9×#6894⋊C2, … |
Past the SmallGroups library coverage — no SmallGroups id.