Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | #41×#1202 |
| Hall | C3×C5 ⋊ D4×#41 |
| Sylow | C5 ⋊ #41×#67 |
| Sylow | C3 ⋊ #41×D20 |
3296 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 208854);