Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C3×C5×#342 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#99 |
| Sylow | C5 ⋊ #68952 |
| Sylow | C3 ⋊ #10599745 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=e,b^2=f,c^2=e,b^a=bd,f^a=fg,d^b=dg,h^c=h^2,i^c=i^4198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 21060);