Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C22 |
| direct product | C3×#11722272 |
676 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 46 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
102 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#13164262, #72222987, #72222989 |
| maximal normal subgroup of | C3×#13164262, #72222987, #72222989 |
Past the SmallGroups library coverage — no SmallGroups id.