Finite Group DatabasebetaFinite Group Databasebeta| order | 20700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×Dic575 |
| unambiguous semidirect product | C23⋊(C9×Dic25) |
| derived, Hall | C23×C25 ⋊ C4×C9 |
| Hall | C9×C23×C25 ⋊ C4 |
| Hall | C9×C25 ⋊ Dic23 |
| Hall | C9×C23 ⋊ Dic25 |
| Sylow | C25 ⋊ C9×Dic23 |
| Sylow | C23 ⋊ C9×Dic25 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 20700 |
5202 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20700, 4);