Finite Group DatabasebetaFinite Group Databasebeta| order | 6272 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#72214529 |
| Fitting | C22×C72×D4 ⋊ C22 |
| Sylow | C72 ⋊ C22×AGL(1,ℤ/8) |
5483 conjugacy classes of subgroups.
| transitive degree | μt(G) = 112 |
356 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.