Finite Group DatabasebetaFinite Group Databasebeta| order | 22700 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C25×D227 |
| unambiguous semidirect product | C227⋊(C22×C25) |
| unambiguous semidirect product | (C2×C227)⋊(C2×C25) |
| Fitting | C2×C25×C227 ⋊ C2 |
| derived, Sylow | C227 ⋊ C22×C25 |
| Hall | C25×C227 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11350 |
5750 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22700, 11);