Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #1798 |
| Sylow | C5 ⋊ #68663 |
| Sylow | C3 ⋊ #10600702 |
624 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,c^b=cg,h^b=h^2,i^b=i^4,h^c=h^2228 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 23181);