Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C27 |
| direct product | C2×#72340507 |
| Fitting, Sylow | C2×#8062881 ⋊ C3 |
30823 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 30823 conjugacy classes of subgroups — too many to draw. Only its 160 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 96 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72340508, C2×#72341130 |
| maximal normal subgroup of | C2×#72340508, C2×#72341130 |
Past the SmallGroups library coverage — no SmallGroups id.