common point groups

linear, no symmetry

C(infv)

regular linear, symmetry (all)

D(infh)

regular trigonal planar

D(3h)

regular bent (trig and tetr)

C(2v)

regular tetrahedral

T(d)

regular trigonal pyramidal

C(3v)

regular trigonal bipyramidal

D(3h)

see-saw

C(2v)

regular t-shaped (5 and 6)

C(2v)

regular octahedral

O(h)

regular square pyramidal

C(4v)

regular square planar

D(4h)

regular pentagonal bipyramidal

D(5h)

carbon with 4 different groups

C(1)

NH2(X)

C(s)

C60

I(h)

benzene (C6H6)

D(6h)

cyclohexane, chair (C6H12)

D(3d)

cyclohexane, boat (C6H12)

C(2v)

carbon with 3 groups (CA2BD)

C(s)

central 2 groups, all single (XA2B2), cis

C(2v)

ethene (C2H4)

D(2h)

ethane, eclipsed (C2H6)

D(3h)

ethane, staggered (C2H6)

D(3d)

H2O2 trans-planar

C(2h)

H2O2 cis-planar

C(2v)

H2O2 not planar

C(2)

central 2 groups, all single (XA2B2), trans

D(2h)