Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ #1988 |
| Sylow | C5 ⋊ #68800 |
| Sylow | C3 ⋊ #10599593 |
584 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
Polycyclic presentation:
2^7,3,5|a^2=f,b^2=defg,c^2=e,d^2=g,f^2=g,b^a=bd,c^a=ce,d^b=dg,f^b=fg,h^c=h^2,i^c=i^4234 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 32895);