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cubic
a=b=c, all 90
haxagonal
a=b, not c, 120 & 90
tetragonal
a=b, c all 90
orthorhombic
a not equal b or c, all 90
rhombohedral (trigonal)
a=b=c, NOT 90
monoclinic
a not equal b or c, 1 angle not 90
triclinic
a not equal b or c, 3 angles not 90