| order | 2916 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C2 |
| direct product | D32×C27⋊C3 |
| Fitting, Sylow | C32×C27⋊C3 ⋊ C22 |
472 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
297 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D32×D27⋊C3, D32×#6875 |
| maximal normal subgroup of | D32×D27⋊C3, D32×#6875 |
Past the SmallGroups library coverage — no SmallGroups id.