Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C3×C5×M16 ⋊ C22 |
| Hall | C3×C5 ⋊ #1792 |
| Sylow | C5 ⋊ #70305 |
| Sylow | C3 ⋊ #10600879 |
1240 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=f,d^2=g,b^a=bd,c^a=ce,d^a=dg,i^a=i^4,d^b=dg,e^b=eg,i^b=i^4,d^c=dg,h^c=h^2138 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 22906);