Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C22×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ #1437 |
| Sylow | C5 ⋊ #71537 |
| Sylow | C3 ⋊ #10602330 |
1656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^7,3,5|a^2=f,b^2=g,c^2=ef,b^a=bd,c^a=ce,h^a=h^2,i^a=i^4504 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 5707);