Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C5 ⋊ Q8×C16 |
| Sylow | C5 ⋊ C16×Dic6 |
| Sylow | C3 ⋊ #10600073 |
268 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
Polycyclic presentation:
2^7,3,5|a^2=e,b^2=d,c^2=de,e^2=f,f^2=g,b^a=bd,h^b=h^2,i^c=i^4288 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 41639);