Finite Group DatabasebetaFinite Group Databasebeta| order | 20700 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32×C25 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×C32×C25×D23 |
| unambiguous semidirect product | C23⋊(C22×C32×C25) |
| unambiguous semidirect product | (C2×C23)⋊(C2×C32×C25) |
| Fitting | C2×C32×C23×C25 ⋊ C2 |
| derived, Sylow | C23 ⋊ C22×C32×C25 |
| Hall | C32×C23×C25 ⋊ C22 |
| Hall | C23×C25 ⋊ C22×C32 |
| Hall | C32×C23 ⋊ C22×C25 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10350 |
5850 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20700, 106);