Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11751068 |
| Fitting | C22×C3×C5×C4⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#480 |
| Sylow | C5 ⋊ C2×#4967 |
| Sylow | C3 ⋊ C2×#65256 |
1024 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, 157104);