Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #1294 |
| Sylow | C5 ⋊ #67612 |
| Sylow | C3 ⋊ #10598552 |
552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^7,3,5|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=efg,h^a=h^2,i^a=i^3,c^b=cg,i^b=i^2,i^d=i^4,i^e=i^4114 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 2850);