Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×SD16×D15 |
| Fitting | C22×C3×C5×SD16 ⋊ C2 |
| Hall | C3×C5 ⋊ C23×SD16 |
| Sylow | C5 ⋊ C22×D3×SD16 |
| Sylow | C3 ⋊ C22×D5×SD16 |
3440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 235355);