Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | D3×#7622637 |
| Fitting | C3×#7622637 ⋊ C2 |
| Sylow | C3 ⋊ C2×#7622637 |
30210 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
267 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.