Assertion: octahedron's symmetry group | /r/HasProperty | generated by the reflection
Facets:
value: through the center of the icosahedron
type: LOCATION
Source sentences:
text: The full symmetry group of the icosahedron (including reflections) is known as the full icosahedral group, and is isomorphic to the product of the rotational symmetry group and the group C 2 of size two, which is generated by the reflection through the center of the icosahedron.