Cubic	32	Oh
	31	Td
	30	O
	29	Th
	28	T
Hexagonal	27	D6h
	26	D3h
	25	C6v
	24	D6
	23	C6h
	22	C3h
	21	C6
Trigonal	20	D3d
	19	C3v
	18	D3
	17	C3i
	16	C3
Tetragonal	15	D4h
	14	D2d
	13	C4v
	12	D4
	11	C4h
	10	S4
	9	C4
Orthorhombic	8	D2h
	7	C2v
	6	D2
Monoclinic	5	C2h
	4	Cs C1h
	3	C2
Monoclinic	2	Ci
	1	C1

Calculate the descent of symmetry pathways for the crystallographic point groups