Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C3×C5×C4⋊C8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×C8×D4 |
| Sylow | C5 ⋊ D3×C8×D4 |
| Sylow | C3 ⋊ C8×D4×D5 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=f,c^2=f,f^2=g,b^a=be,h^b=h^2,h^c=h^2,h^d=h^2,i^d=i^4240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 140347);