NOVELTY - A seed of soybean cultivar S110126 deposited under ATCC as PTA-12735, is new.    USE - The seed of soybean cultivar S110126 is useful in soybean breeding methods for producing plants with an added desired trait chosen from male sterility, herbicide tolerance, insect or pest resistance, disease resistance, modified fatty acid metabolism, abiotic stress resistance and modified carbohydrate metabolism, plants with single locus conversion that confers the desired trait and mutagenized soybean plant, and producing commodity plant product chosen from protein isolate, protein concentrate, soybean hulls, meal, flour and oil (all claimed). The seed and the produced plants are useful as human food, feed for livestock e.g. poultry, swine and cattle and aquaculture of catfish, and raw material in industry, and for producing dairy product substitutes (e.g. soy milk, margarine, soy ice cream, soy yogurt, soy cheese and soy cream cheese), meat substitutes (e.g. veggie burgers) and various types of fillers used in meat and poultry products. The oil is useful as cooking oil, and in margarine, salad dressings, paints, plastics, fibers, detergents, cosmetics, lubricants and biodiesel fuel. The protein concentrate is useful for meat extenders or specialty pet foods.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for the following:    (1) plant (P1) of the soybean cultivar S110126;    (2) plant part of the plant (P1);    (3) tissue culture of regenerable cells of the soybean cultivar S110126;    (4) soybean plant regenerated from the tissue culture, where the regenerated plant expresses all of the physiological and morphological characteristics of the soybean cultivar S110126;    (5) method (M1) of soybean breeding involves crossing a plant of the soybean cultivar S110126 with itself or a second soybean plant;    (6) F1 hybrid seed produced by the method (M1);    (7) method (M2) of producing a plant of soybean cultivar S110126 with an added desired trait, involves introducing a transgene conferring the desired trait into a plant of the soybean cultivar S110126;    (8) plant produced by the method (M2) or its selfed progeny;    (9) method (M3) of introducing a single locus into soybean cultivar S110126 involves (a) crossing a plant of the soybean cultivar S110126 with a second plant which comprises a desired single locus to produce F1 progeny plants, (b) selecting a first progeny plant from step (a) to produce a selected progeny plant, (c) crossing the selected progeny plant with a plant of soybean cultivar S110126 to produce a first backcross progeny plant, and (d) repeating the steps of (b) and (c) with the selected backcross progeny plant from step (d) used in place of the first progeny plant of step (b) during the repeating, where steps (b) and (c) are repeated until a first backcross progeny plant is produced comprising the single locus and essentially all of the physiological and morphological characteristics of the soybean cultivar S110126 when grown in the same environmental conditions;    (10) soybean plant derived from the soybean cultivar S110126 and comprising a single locus conversion, where the single locus conversion is introduced by backcrossing or genetic transformation;    (11) method (M4) of introducing a mutation into genome of soybean cultivar S110126 involves applying a mutagen to the plant or its part, where the mutagen is chosen from ethyl methanesulfonate, gamma -rays and sodium azide, and the resulting plant comprises a genome mutation;    (12) mutagenized soybean plant produced by the method (M4), where the mutagenized plant comprises mutation in the genome and all of the physiological and morphological characteristics of the soybean cultivar S110126; and    (13) method (M5) of producing a commodity plant product involves obtaining the plant or its part and producing the commodity plant product.