Finite Group DatabasebetaFinite Group Databasebeta| order | 9216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25×C3 |
| direct product | C3⋊D3×AGL(1,ℤ/32) |
| Fitting | C32×AGL(1,ℤ/32) ⋊ C2 |
| Sylow | C32 ⋊ C2×AGL(1,ℤ/32) |
3894 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
282 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.