by Gibson Thole
(Livingstone, Zambia)
From the criterion you gave 'presence or not of conductive (vascular) tissue'. I would say the Thallophtes belong to Bryophytes though i'm not sure whether Thallophytes belong to Bryophytes or they respective to each other even if they are found in the same group. Is it correct to say Thallophytes belong to subkingdom Bryophytes?
Note: Such name is no longer in use.