Finite Group DatabasebetaFinite Group Databasebeta| order | 22575 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | C7×C25×C43⋊C3 |
| Fitting, Hall | C7×C25×C43 ⋊ C3 |
| derived, Sylow | C43 ⋊ C3×C7×C25 |
| Hall | C25×C43 ⋊ C3×C7 |
| Hall | C7×C43 ⋊ C3×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7525 |
2975 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22575, 3);