Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | C3×#11724104 |
| Sylow | C34 ⋊ #102 |
353 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 353 conjugacy classes of subgroups — too many to draw. Only its 54 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 96 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#13180143 |
| maximal normal subgroup of | C3×#13180143 |
Past the SmallGroups library coverage — no SmallGroups id.