| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C3×#10608033 |
| Hall | C3×C5 ⋊ #2354 |
| Sylow | C5 ⋊ C3×#2354 |
1264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
318 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 53371);