Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4 |
| direct product | C16×#1200 |
| derived, Hall | C3×C5 ⋊ C2×C4×C16 |
| Sylow | C5 ⋊ C4×D3×C16 |
| Sylow | C3 ⋊ C4×D5×C16 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 38219);