A5×C2

Also called full icosahedral group.

A5×C2 is the direct product of two smaller groups.

Statistics
Order of group	120
GAP identifier	120,35
Presentation
Orders of elements
Centre	C2
Derived subgroup	A5
Automorphism group	A5×C2
Inner automorphism group	A5
"Out" (quotient of above)	C2
Schur multiplier	C2
Sylow-2-subgroup	C2×C2×C2

Cayley Graphs

sphere/grid

the dodecahedron, type III

Regular maps with A5×C2 symmetry

A5×C2 is the full symmetry group of the regular maps the dodecahedron, the icosahedron.

Index to regular maps