Finite Group DatabasebetaFinite Group Databasebeta| order | 4374 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C9 |
| direct product | 3−1+2×C9⋊D9 |
| Fitting, Sylow | C92×3−1+2 ⋊ C2 |
1108 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 1108 conjugacy classes of subgroups — too many to draw. Only its 168 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 486 |
462 conjugacy classes. The character table is too large to display.
| maximal subgroup of | 3−1+2×#92314, AGL(1,ℤ/9)×C9⋊D9, D92×3−1+2, … |
| maximal normal subgroup of | 3−1+2×#92314, AGL(1,ℤ/9)×C9⋊D9, D92×3−1+2, … |
Past the SmallGroups library coverage — no SmallGroups id.