Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Hall | C3×C5 ⋊ #3573 |
| Sylow | C5 ⋊ #87166 |
| Sylow | C3 ⋊ #10619415 |
2848 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=f,f^2=g,h^a=h^2,i^a=i^3,e^b=eg,i^b=i^4,d^c=dg,h^e=h^2,i^e=i^4,i^f=i^4129 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 235331);