Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×M32 ⋊ C22 |
| Hall | C3×C5 ⋊ #3407 |
| Sylow | C5 ⋊ #82012 |
| Sylow | C3 ⋊ #10613738 |
720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=e,e^2=f,f^2=g,d^a=dg,i^a=i^4,c^b=cg,i^c=i^4,h^d=h^2228 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 203875);