User:Tomruen/temp1

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Small index subgroups of [4,4]
Subgroup index 1 2 4
Diagram 442 symmetry 000.png 442 symmetry a00.png 442 symmetry 00a.png 442 symmetry 0a0.png 442 symmetry 0ab.png 442 symmetry a0b.png
Coxeter [4,4] [1+,4,4] [4,4,1+] [4,1+,4] [4,1+,4,1+] [1+,4,4,1+]
Orbifold (*442) (*2222) (2*22) (*2222)
Diagram 442 symmetry 0aa.png 442 symmetry aa0.png 442 symmetry a0a.png 442 symmetry ab0.png 442 symmetry xxx.png
Coxeter [4,4+] [4+,4] [(4,4,2+)] [1+,4,1+,4] [4+,4+]
Orbifold (4*2) (2*22) (22×)
Rotational subgroups
Index 2 4 8
Diagram 442 symmetry aaa.png 442 symmetry abb.png 442 symmetry aab.png 442 symmetry aba.png 442 symmetry abc.png
Coxeter [4,4]+ [1+,4,4+] [4+,4,1+] [(4,1+,4,2+)] [1+,4,1+,4,1+] = [(4+,4+,2+)]
Orbifold (442) (2222)