Also called C10×C2.
C5×C2×C2 is Abelian, and is a direct product of two smaller groups.

Permutation Diagrams




C5×C2×C2 is the rotational symmetry group of the regular map
Orientable  sphere  torus  2  3  4  5  6 
Nonorientable  projective plane  4  5  6  7 