Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C22×C32 |
| direct product | C3×#638⋊A4 |
| Fitting | C24×C33 ⋊ C2×C3 |
1060 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 1060 conjugacy classes of subgroups — too many to draw. Only its 84 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
156 conjugacy classes — view the full character table.
| maximal subgroup of | #72220531, #72222930, C3×#13164262, … |
| maximal normal subgroup of | #72222930, C3×#13164262, #72222973 |
Past the SmallGroups library coverage — no SmallGroups id.