Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×D3×Q8×D5 |
| Fitting | C3×C4×C5×Q8 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×C4×Q8 |
| Sylow | C5 ⋊ C2×C4×D3×Q8 |
| Sylow | C3 ⋊ C2×C4×Q8×D5 |
3328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204549);