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 ⋊ #79276 |
| Sylow | C3 ⋊ C8×#709 |
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,i^a=i^4,h^c=h^2312 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 144625);