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R-symmetry gauged 6D (1, supergravities free from all local anomalies, with gauge groups G × G R where G R is the R-symmetry group and G is semisimple with rank greater than one, and which have no hypermultiplet singlets, are extremely rare. There are three such models known in which the gauge symmetry group is G1 × G2 × U(1) R , where the first two factors are ( E 6 / Z 3 ) × E 7 , G2 × E7 and F4 × Sp(9). These are models with single tensor multiplet, and hyperfermions in the (1, 912), (14, 56) and (52, 18) dimensional representatio