Categories for charge_symmetry with head word symmetry:
Category Nuances matching symmetry:

internal,

hierarchical,

geometric,

desired,

complex,

physical,

conventional,

discrete,

global,

elastic,
Members for simple category symmetry:

flavour_symmetry,

flavor_symmetry,

charge_symmetry,

icosahedral_symmetry,

isotropy,

lorentz_symmetry,

reflection_symmetry,

rotational_symmetry,

platonic_symmetry,

gauge_symmetry,

helical_symmetry,