Finite Group DatabasebetaFinite Group Databasebeta| order | 22050 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C25 · Schur multiplier (H2) = C3 |
| direct product | C2×C3×C25×#3861 |
| Fitting | C2×C3×C72×C25 ⋊ C3 |
| derived, Sylow | C72 ⋊ C2×C32×C25 |
| Hall | C2×C72×C25 ⋊ C32 |
| Hall | C72×C25 ⋊ C2×C32 |
| Hall | C2×C72 ⋊ C32×C25 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7350 |
2850 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22050, 202);