This firm produced perfins from 1899 to 1916.
Here are two G. Lohse cover produced in that time:
Used 30 December 1904 from Mexico City to Chalchihuites, Zacatecas, Mexico
G.L./&Cia/SU.cs perfin on 5 centavos Coat of Arms definitive (1903) - Scott 307
Translation of envelope: "Hardware and haberdashery"
Used 20 October 1914 from Mexico City to Sheffield, England
G.L./&Cia/SU.cs perfin on 5 centavos Miguel Hildalgo definitive (1910) - Scott 314
Here are some of the stamps which have G.L./&Cia/SU.cs perfins: