Finite Group DatabasebetaFinite Group Databasebeta| order | 4374 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C9×D9×3−1+2 |
| Fitting, Sylow | C92×3−1+2 ⋊ C2 |
1165 conjugacy classes of subgroups; only the 228 normal subgroups are shown.
This group has 1165 conjugacy classes of subgroups — too many to draw. Only its 228 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 162 |
594 conjugacy classes. The character table is too large to display.
| maximal subgroup of | 3−1+2×#92265, D92×3−1+2, C9×D9×AGL(1,ℤ/9), … |
| maximal normal subgroup of | 3−1+2×#92265, D92×3−1+2, C9×D9×AGL(1,ℤ/9), … |
Past the SmallGroups library coverage — no SmallGroups id.