Finite Group DatabasebetaFinite Group Databasebeta| order | 5184 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C3×#13180427 |
| Fitting | C22×C34 ⋊ SD16 |
| Sylow | C34 ⋊ #448 |
1022 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 1022 conjugacy classes of subgroups — too many to draw. Only its 114 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 96 |
144 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.