Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C215 |
| direct product | C23×C4×D3×D5 |
| Fitting | C23×C3×C4×C5 ⋊ C22 |
| derived, Hall | C3×C5 ⋊ C25×C4 |
| Sylow | C5 ⋊ C24×C4×D3 |
| Sylow | C3 ⋊ C24×C4×D5 |
21104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 236164);