Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×C5⋊#2104 |
| unambiguous semidirect product | C5⋊(C3×#2104) |
| Hall | C3×C5 ⋊ #2104 |
| Sylow | C5 ⋊ C3×#2104 |
356 conjugacy classes of subgroups.
| minimal degree | μ(G) = 24 |
| transitive degree | μt(G) = 240 |
201 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 38193);