Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×C3×C5×#41 ⋊ C4 |
| Hall | C3×C5 ⋊ #3428 |
| Sylow | C5 ⋊ #87260 |
| Sylow | C3 ⋊ #10619412 |
3080 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^7,3,5|a^2=g,e^2=f,b^a=bf,d^a=df,h^a=h^2,i^a=i^2,c^b=cf,i^g=i^4168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204835);