Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C3×C5×C4⋊C8 ⋊ C2 |
| Hall | C3×C5 ⋊ #1797 |
| Sylow | C5 ⋊ #70475 |
| Sylow | C3 ⋊ #10601268 |
800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^7,3,5|a^2=f,b^2=d,f^2=g,b^a=bd,c^a=ce,h^c=h^2,i^c=i^4336 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 23117);