## Program Tr_bravais

### Usage

Tr_bravais 'file' [-n] [-i]

file: bravais_TYP of the finite unimodular group G.
### Description

Calculates the transposed group of G.
### Options

-n : The space of invariant forms of the transposed group is not calculated.
-i : Invert the generators of G, G->normal, G->cen to give an isomorphism.

### Remarks

See also for Tr.
### Examples

- Find all space groups with a given point group and decide for
which superlattices each extension splits.
- Find the dual pairs of Bravais groups in family 1;1;1;1