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IUCr 1995 Report - Int. Tables Volume `A1'. Maximal Subgroups of Space and Plane Groups

In August 1995, the Executive Committee approved the publication of Volume A1, which contains amended data on maximal subgroups of space and plane groups. H. Wondratschek has been appointed Editor; Co-authors are M. I. Aroyo and Y. Billiet.

Contents: Introduction to the Tables, User's Guide, Coordinate Transformations, Subgroup Tables for Plane and Space Groups, Minimal Supergroups.

The data for each space-group type are presented in two categories:

I Maximum translationengleich subgroups

II Maximal klassengleiche subgroups with subdivisions: Loss of centring translations; Enlarged unit cell: indices 2, 3 and 4; Infinite series of isomorphic subgroups.

In contrast to the subgroup data in Volume A, the (finitely many) maximal subgroups of index up to 4 are listed individually whereas the infinite number of isomorphic subgroups are presented in (a few) infinite series. For each subgroup, either its representatives (general position) or at least a set of generators are given. The transformation to the conventional coordinate system of the subgroup is indicated by the matrix for the basis transformation and the column for the origin shift. The supergroup data are appended as a reference list only.

In addition, the group-subgroup relations are displayed by two series of diagrams: for each crystal class, one diagram for the klassengleiche subgroups; for the translationengleiche subgroups, another set of diagrams, which are similar to the subgroup diagrams of crystallographic point groups.

The volume is supplemented by a theoretical section on group-theoretical aspects and by a practical section on applications of the subgroup data.

The present status is that the data have been calculated completely and are available in principle. They are presently being transferred to LAT_EX format in order to enable printing directly from these files. The print format and the details are being discussed with the Technical Editor. One of the supplementary sections is available in draft form. The author still has to be found for the other section.

H. Wondratschek, Editor

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Updated 14th February 1997

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