Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C24 |
| direct product | C3×#11724330 |
| Fitting | C22×C34 ⋊ D4 |
| Sylow | C34 ⋊ #120 |
1353 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 1353 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
153 conjugacy classes — view the full character table.
| maximal subgroup of | #72220730 |
| maximal normal subgroup of | #72220730 |
Past the SmallGroups library coverage — no SmallGroups id.