Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | Dic3×((C22⋊C9)⋊C2)⋊C3 |
| derived | C3×C22⋊C9 ⋊ C2×C3×C4 |
520 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 56 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
114 conjugacy classes — view the full character table.
| maximal subgroup of | #67×((C22⋊C9)⋊C2)⋊C3 |
| maximal normal subgroup of | #67×((C22⋊C9)⋊C2)⋊C3 |
Past the SmallGroups library coverage — no SmallGroups id.