Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D5⋊#806 |
| unambiguous semidirect product | D5⋊(C2×#806) |
| Hall | C3×C5 ⋊ C22×#99 |
| Sylow | C5 ⋊ C22×#806 |
| Sylow | C3 ⋊ C2×D5⋊#99 |
2224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 137608);