Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | #127×Dic15 |
| Hall | C3×C5 ⋊ C4×#127 |
| Sylow | C5 ⋊ Dic3×#127 |
| Sylow | C3 ⋊ Dic5×#127 |
1848 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 47954);