Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Hall | C3×C5 ⋊ D4×C22⋊C4 |
| Sylow | C5 ⋊ D4×#217 |
| Sylow | C3 ⋊ #10605581 |
2504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=g,b^a=be,c^a=cf,h^a=h^2,d^b=de,i^d=i^4210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 51634);