A summary of the constructed point group graph object is given below
====================================================================

----------------------
Input crystal symmetry
----------------------
Unit cell:  (30.0, 30.0, 45.0, 90.0, 90.0, 120.00000000000001)
Unit cell volume:  35074.0288533
Space group:  P 3


--------------------------
Lattice symmetry deduction
--------------------------
Niggli cell:  (29.999999999999993, 29.999999999999993, 45.0, 90.0, 90.0, 120.00000000000001)
Niggli cell volume:  35074.0288533
Niggli transformed input symmetry:  P 3
Symmetry of Niggli cell:  P 6 2 2


All pointgroups that are both a subgroup of the lattice symmetry and
a supergroup of the Niggli transformed input symmetry wil now be listed,
as well as their minimal supergroups/maximal subgroups and symmetry
operators that generate them.
For each pointgroup, a list of compatible spacegroups will be listed.
Care is taken that there are no sysmetatic absence violation with the 
provided input spacegroup.

------------------------
Vertices and their edges
------------------------

Point group   P 3   is a maximal subgroup of :
  * P 3 1 2
  * P 6
  * P 3 2 1

Point group   P 6 2 2   is a maximal subgroup of :
  * None

Point group   P 3 2 1   is a maximal subgroup of :
  * P 6 2 2

Point group   P 6   is a maximal subgroup of :
  * P 6 2 2

Point group   P 3 1 2   is a maximal subgroup of :
  * P 6 2 2



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Transforming point groups
-------------------------

From P 3   to  P 3 2 1  using :
  *  -h-k,k,-l

From P 3   to  P 6  using :
  *  -h,-k,l

From P 3   to  P 3 1 2  using :
  *  h+k,-k,-l

From P 3 2 1   to  P 6 2 2  using :
  *  -h,-k,l

From P 6   to  P 6 2 2  using :
  *  -h-k,k,-l

From P 3 1 2   to  P 6 2 2  using :
  *  -h-k,k,-l



----------------------
Compatible spacegroups
----------------------

Spacegroups compatible with a specified point group 
**and** with the systematic absenses specified by the 
input space group, are listed below.

Spacegroup candidates in point group P 3:
  * P 3  30.00 30.00 45.00 90.00 90.00 120.00
  * P 31  30.00 30.00 45.00 90.00 90.00 120.00
  * P 32  30.00 30.00 45.00 90.00 90.00 120.00

Spacegroup candidates in point group P 6 2 2:
  * P 6 2 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 61 2 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 65 2 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 62 2 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 64 2 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 63 2 2  30.00 30.00 45.00 90.00 90.00 120.00

Spacegroup candidates in point group P 3 2 1:
  * P 3 2 1  30.00 30.00 45.00 90.00 90.00 120.00
  * P 31 2 1  30.00 30.00 45.00 90.00 90.00 120.00
  * P 32 2 1  30.00 30.00 45.00 90.00 90.00 120.00

Spacegroup candidates in point group P 6:
  * P 6  30.00 30.00 45.00 90.00 90.00 120.00
  * P 61  30.00 30.00 45.00 90.00 90.00 120.00
  * P 65  30.00 30.00 45.00 90.00 90.00 120.00
  * P 62  30.00 30.00 45.00 90.00 90.00 120.00
  * P 64  30.00 30.00 45.00 90.00 90.00 120.00
  * P 63  30.00 30.00 45.00 90.00 90.00 120.00

Spacegroup candidates in point group P 3 1 2:
  * P 3 1 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 31 1 2  30.00 30.00 45.00 90.00 90.00 120.00
  * P 32 1 2  30.00 30.00 45.00 90.00 90.00 120.00

A file named p3andup.png  contains a graphical representation 
of the point group relations.