Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C3×C5×#405 ⋊ C2 |
| Hall | C3×C5 ⋊ #2875 |
| Sylow | C5 ⋊ #78550 |
| Sylow | C3 ⋊ #10610281 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^7,3,5|a^2=e,b^2=f,e^2=g,b^a=bg,h^b=h^2,i^b=i^4,d^c=dg,h^d=h^2,i^d=i^4348 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 137222);