theorem :: GR_CY_3:15

for p being Safe Prime ex q being Sophie_Germain Prime ex H1, H2, Hq, H2q being strict Subgroup of Z/Z* p st
( card H1 = 1 & card H2 = 2 & card Hq = q & card H2q = 2 * q & ( for H being strict Subgroup of Z/Z* p holds
( H = H1 or H = H2 or H = Hq or H = H2q ) ) )