Finite Group DatabasebetaFinite Group Databasebeta| order | 9408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#72214529 |
| Fitting | C2×C3×C72×D4 ⋊ C22 |
| Hall | C3×C72 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C72 ⋊ C2×C3×AGL(1,ℤ/8) |
1900 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
534 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.