Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Hall | C3×C5 ⋊ #1438 |
| Sylow | C5 ⋊ #71550 |
| Sylow | C3 ⋊ #10604954 |
2336 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^7,3,5|a^2=g,b^a=bd,c^a=ce,i^a=i^2,c^b=cf,h^c=h^2,i^g=i^4120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 5744);