Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C28 |
| direct product | C3×#10618053 |
| Fitting | C3×C5×#529 ⋊ C2 |
| Hall | C3×C5 ⋊ #3480 |
| Sylow | C5 ⋊ C3×#3480 |
2224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
318 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 210470);