Rebutia (Aylostera) friedrichiana was originally described in Succulenta 55(6), p.103, by Walter Rausch in 1976.

Here is the text of the description of this species in the original Latin, but you should look up the original description for more details, including further details in Dutch and photographs. The English translation below is my own.

Rebutia (Digitorebutia) friedrichiana Rausch spec. nov.

Simplex, brevi-cylindrica, ad 50 mm alta et 30 mm diametiens, glauca, violaceo-asperata, radice, napiformi magna carnosa; costis 11, recte adscendentibus vel paulum tortis, crenis transversis in gibberes 6 mm latos et 3 mm longos, planos divisis; areolis ovalibus, 2 mm longis, flavidotomentosis; aculeis marginalibus 11 -13, ad 4 mm longis, accumbentibus, setosis, albis; aculeo centrali 0.

Floribus lateralibus, 30 mm longis et diametientibus; ovario et receptaculo violaceo, squamis atro-fuscis, pilis et setis albis tecto; phyllis perigonia exterioribus spathulatis, violaceo-roseis, medio-fusco-striatis; phyllis perigonii interioribus spathulatis, rotundis et serratis, fulgide-aurantiacis; flore paulum flori pleno simili; fauce 15 mm longa, dimidio eius cum stylo connata, albido-grisea; filamentis flavidis, stylo et stigmatibus (6) viridibus.

Patria Bolivia, Cinti meridionalis, ante La Cueva, 3.500 m ait.

Typus: Rausch 646 in Herbario W.

English translation

Rebutia (Digitorebutia) friedrichiana Rausch spec. nov.

Plant unbranched, short cylindrical, up to 50 mm in height and 30 mm in diameter, with thick fleshy tap root; ribs 11, straight or slightly twisted, divided by transverse grooves into tubercles 6 mm wide and 3 mm long, grey-green and violet. Areoles oval, 2 mm long, with yellowish felt.

Lateral spines 11 -13, up to 4 mm long, close-fitting, brush-like, white. No central spines.

Flowers appearing on the side, 30 mm in length and 30 mm in diameter; ovary and flower tube violet with black-brown scales, white hairs and bristles; outer petals spatulate, violet-pink with dark brown central stripe; inner petals spatulate, round and serrated, bright orange, slightly double-flowered; throat 15 mm long and half fused with the style, whitish grey; stamens yellowish, style and stigmas (6) green.

Location: Bolivia, South Cinti, in front of La Cueva at 3500 m altitude.

Type: Rausch 646 in the Stadt. Sukkulentensammlung in Zurich.