After general pages (tables of groups, generators and Brillouin zones) for each cluster of groups (set of single and double ordinary and gray groups; to be completed by blackandwhite ones) chosen in the menu, there is a page offering list of available datasets for every group of the cluster. These data are given by a gif image of a table (and a picture in some cases) with necessary explanations of entries. Bottom bar enables to switch between properties or to magnify each table. 
Generators are given by the symbols introduced in the first column, and explained in the second one; their crystallographic symbols are in the third column, and, when appropriate, conditions for some group parameters are in the last column. More detailed specification is obtained by the subscripts: a and b are lattice basis vectors from the xyplane, vector q is from the xyplane and it defines mirror plane perpendicular to it or rotational axis along it. 
Symbol  Symetry operation  Int. symbol  

C_{n}  Rotation for 2π/n around zaxis  n_{001}  n=1,2,3,4,6 
U, U_{q}  Rotation for π around horizontal qaxis  2_{q}  q={q_{1},q_{2},0} 
σ_{v}, σ_{vq}  Vertical mirror plane  m_{q}  q={q_{1},q_{2},0} 
σ_{h}  Horizontal mirror plane  m_{001}  
J,S_{2}  Spatial inversion  1  
S_{2n}  C_{2n}σ_{h}  S_{2n}  n=1, 2, 3 
t  Translation  (1t)  t={t_{1},t_{2},0} 
t_{h}  Horizontal glide plane  (m_{001}1/2t)  t∈{a, b, a+b} 
t_{vq}  Vertical glide plane  (m_{q}1/2t)  t∈{a, b, a+b}, (t⊥q) 
t_{Uq}  Screw axis  (2_{q}1/2t), (2_{1})  t∈{a, b, a+b}, (t∥q) 
θ  Time reversal  T 
Brillouin zone strata labels (hide)
As for the strata (generic, special lines and points) of the Brillouin zone, there are several sets of labels in the literature. We did not find conceptual justification for either of them. This is due to possibility to derive the irreducible representations from the space supergroups and succeed their strata labels; however, the strata symbols for the space groups are not systematic, and this confusion is further strengthen by nonuniqueness of the choice of space supergroup. Therefore we give the following set of single letter symbols. Generic stratum is G, Greek letters are special lines, and Latin capitals for special point (except traditional Γ point). The line along k_{1} is Δ and parallel to it Ω, the line along k_{2} is Φ and parallel to it Λ, while Σ and Ξ are the bisectors of the angles ∠(k_{1},k_{2}) and ∠(k_{1},k_{2}). Bellow is parallel list of the here applied and Bilbao server notation. 


Miscelaneous notions and abbreviations (hide)
g=(ℓ_{1})^{β1}···(ℓ_{(G)})^{β(G)}, with exponents β_{1},β_{2}=0,±1,…; β_{3}=0,…,n1; β_{4},..., β_{(G)}=0,1. 