Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ C42×D4 |
| Sylow | C5 ⋊ C4×#893 |
| Sylow | C3 ⋊ C4×#4039 |
1848 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^7,3,5|a^2=f,b^2=g,c^2=g,d^2=f,b^a=be,i^a=i^4,h^c=h^2,i^c=i^4,h^d=h^2240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45272);