Finite Group DatabasebetaFinite Group Databasebeta| order | 6144 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C29 |
| direct product | C2×#72341130 |
| Fitting | C2×#8062881 ⋊ D3 |
At least 10245 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has at least 10245 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
120 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.