Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C22×C4⋊C4×D15 |
| Fitting | C22×C3×C5×C4⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ C23×C4⋊C4 |
| Sylow | C5 ⋊ C22×D3×C4⋊C4 |
| Sylow | C3 ⋊ C22×D5×C4⋊C4 |
4976 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204400);