Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#6819 |
| Fitting | C3×C5×C8×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ C8×#41 |
| Sylow | C5 ⋊ C8×#237 |
| Sylow | C3 ⋊ C8×#711 |
912 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, 144584);