| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C16 · Schur multiplier (H2) = C22 |
| direct product | C3×D4⋊#672 |
| unambiguous semidirect product | D4⋊(C3×#672) |
| Hall | C3×C5 ⋊ D4⋊C16 |
| Sylow | C5 ⋊ C3×D4⋊C16 |
220 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 3451);