There are several models of the Branching order of bacterial phyla, the most cited of these was proposed in 1987 paper by Carl Woese.
[1] This cladogram was later expanded by Rappé and Giovanoni in 2003 to include newly discovered phyla.
Aquificae Desulfurobacterium OP1 (Acetothermia) Dictyoglomus Coprothermobacter Thermotogae Thermodesulfobacteria Deinococcus-Thermus Chloroflexi TM7 (Saccharibacteria)
ABY1 (OD1-ABY1 of Parcubacteria) BD1-5 group (Gracilibacteria) WS6 (Dojkabacteria) OP11 (Microgenomates) Spirochaetes Caldiserica Synergistes Proteobacteria
Elusimicrobia Nitrospira Fibrobacteres Gemmatimonadates Bacteroidetes Chlorobi Caldithrix Marine group A (Marinimicrobia) NKB19 (Hydrogenedentes) WS3 (Latescibacteria) BRC1 (Sumerlaeota) Poribacteria[3] OP3 (Omnitrophica) Planctomycetes Chlamydiae Lentisphaerae Verrucomicrobia Fusobacteria Cyanobacteria OP9 (Atribacteria) Firmicutes