Finite Group DatabasebetaFinite Group Databasebeta| order | 22050 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C72×C25 · Schur multiplier (H2) = C3×C7 |
| direct product | C72×C3⋊D3×C25 |
| unambiguous semidirect product | C3⋊(D3×C72×C25) |
| Fitting, Hall | C32×C72×C25 ⋊ C2 |
| derived, Sylow | C32 ⋊ C2×C72×C25 |
| Hall | C32×C72 ⋊ C2×C25 |
| Hall | C32×C25 ⋊ C2×C72 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11025 |
7350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22050, 215);