Valentiner group

In mathematics, the Valentiner group is the perfect triple cover of the alternating group on 6 points, and is a group of order 1080. It was found by in the form of an action of "A"6 on the complex projective plane, and was studied further by .
All perfect alternating groups have perfect double covers. In most cases this is the universal central extension. The two exceptions are "A"6 (whose perfect triple cover is the Valentiner group) and "A"7, whose universal central extensions have centers of order 6.