Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ C8×#41 |
| Sylow | C5 ⋊ #41×C3⋊C8 |
| Sylow | C3 ⋊ #10617195 |
912 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^7,3,5|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^a=h^2,i^a=i^3,i^b=i^4,h^c=h^2,i^c=i^2,i^d=i^4,i^f=i^4180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 144604);