Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#11751044 |
| Hall | C3×C5 ⋊ C2×#381 |
| Sylow | C5 ⋊ C2×#4943 |
| Sylow | C3 ⋊ C2×#65232 |
2288 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45570);