Bravais latices and crystalographic group

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I'm not sure why there are only 14 types of Bravais latices whereas there are
as many as 230 different crystalographic groups (in 3 dimensions).
I think that it maybe related to the fact that Bravais latices describe
different symetries of the set of points generated by a set of three discrete translations.
In general these point might have some internal structure which changes the symmetry group.
If we took into account the fact that at each point of Bravais lattice we can have a so
called base consisting of more then one atom, then this extended latice might have as many
as 230 different symmetry groups. Is this explanation resonable?
 
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  • #2
Yes, that's correct.
 

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