An aqueous surfactant composition comprising • one or more alpha-sulfo fatty acid disalts of the general formula, R 1 CH(SO 3 M 1)COOM 2 in which the radical R 1 is a linear or branched alkyl or alkenyl radical with 6 to 18 carbon atoms and the radicals M 1 and M 2 - independently of one another - are selected from the group H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • one or more amidoalkylbetaines of the general formula, R 2- CO-NH- (CH 2) y -N + (CH 3) 2 -CH 2 -COO- in which the radical R 2 is a linear or branched alkyl or alkenyl radical with 7 to 19 carbon atoms and the index y is an integer in the range 2 to 4, • water, where the following provisos apply: • with regard to compounds it is the case that the fraction of the compounds in which the radical R 1 is an alkenyl radical - based on the total amount of the compounds in the aqueous surfactant composition - is 3% by weight or less; • with regard to the compounds, it is the case that the fraction of the compounds in which the radical R 2 is an alkenyl radical - based on the total amount of the compounds in the aqueous surfactant composition - is 3% by weight or less; • the content of the compounds and in the aqueous surfactant composition is - based on the total aqueous surfactant composition - at least 5% by weight; • if the aqueous surfactant composition comprises one or more ester sulfonates of the general formula, R 5 CH(SO 3 M 5)COOR 6 in which the radical R 5 is a linear or branched alkyl or alkenyl radical with 6 to 18 carbon atoms and the radical R 6 is a linear or branched alkyl or alkenyl radical with 1 to 20 carbon atoms, where the radical R 6 can logically be an alkenyl radical or be branched only above 3 carbon atoms, and the radical M 5 is selected from the group Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamines, it is the case that the compounds - based on the totality of the compounds and - must be present to 50% by weight or more; • the weight ratio of the compounds: in the aqueous surfactant composition is in the range from 1: 1.5 to 1: 5; • the pH of the aqueous surfactant composition is 5.8 or less; • the viscosity of the aqueous surfactant composition - measured using a Brookfield RV laboratory rheometer at 23°C, 12 rpm, spindle set RV 02 to 07 (spindle choice depending on viscosity range) - is 1000 mPas or higher; • the average transmission of the aqueous surfactant composition at 23°C - measured using a TurbiScan MA 2000 - is at least 80%. • one or more alpha-sulfo fatty acid disalts of the general formula, R 1 CH(SO 3 M 1)COOM 2 in which the radical R 1 is a linear or branched alkyl or alkenyl radical with 6 to 18 carbon atoms and the radicals M 1 and M 2 - independently of one another - are selected from the group H, Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamine, • one or more amidoalkylbetaines of the general formula, R 2- CO-NH- (CH 2) y -N + (CH 3) 2 -CH 2 -COO- in which the radical R 2 is a linear or branched alkyl or alkenyl radical with 7 to 19 carbon atoms and the index y is an integer in the range 2 to 4, • water, • with regard to compounds it is the case that the fraction of the compounds in which the radical R 1 is an alkenyl radical - based on the total amount of the compounds in the aqueous surfactant composition - is 3% by weight or less; • with regard to the compounds, it is the case that the fraction of the compounds in which the radical R 2 is an alkenyl radical - based on the total amount of the compounds in the aqueous surfactant composition - is 3% by weight or less; • the content of the compounds and in the aqueous surfactant composition is - based on the total aqueous surfactant composition - at least 5% by weight; • if the aqueous surfactant composition comprises one or more ester sulfonates of the general formula, R 5 CH(SO 3 M 5)COOR 6 in which the radical R 5 is a linear or branched alkyl or alkenyl radical with 6 to 18 carbon atoms and the radical R 6 is a linear or branched alkyl or alkenyl radical with 1 to 20 carbon atoms, where the radical R 6 can logically be an alkenyl radical or be branched only above 3 carbon atoms, and the radical M 5 is selected from the group Li, Na, K, Ca/2, Mg/2, ammonium and alkanolamines, it is the case that the compounds - based on the totality of the compounds and - must be present to 50% by weight or more; • the weight ratio of the compounds: in the aqueous surfactant composition is in the range from 1: 1.5 to 1: 5; • the pH of the aqueous surfactant composition is 5.8 or less; • the viscosity of the aqueous surfactant composition - measured using a Brookfield RV laboratory rheometer at 23°C, 12 rpm, spindle set RV 02 to 07 (spindle choice depending on viscosity range) - is 1000 mPas or higher; • the average transmission of the aqueous surfactant composition at 23°C - measured using a TurbiScan MA 2000 - is at least 80%.