User:Tomruen/632 symmetry
| Small index subgroups [6,3] (*632) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Index | 1 | 2 | 3 | 6 | |||||||
| Coxeter (orbifold) |
p6m, [6,3], (*632)    
|
p3m1, [1+,6,3], (*333) =   
|
p31m, [6,3+], (3*3) 
|
cmm, [6,3]⅄, (2*22)   
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pmm, (*2222)
|
p3m1, [6,3*], (*333)  =   
| |||||
| Generators | {0,1,2} | {010,1,2} | {0,12} | {0,2,1021} | {0,101,202} | ||||||
| Rotation subgroups | |||||||||||
| Index | 2 | 4 | 6 | 12 | 12 | ||||||
| Coxeter (orbifold) |
p6, [6,3]+, (632)
|
p3, [1+,6,3+], (333) =  
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p2, [6,3]Δ, (2222)  
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p2, (2222)
|
p3, [1+,6,3*], (333) = 
| ||||||
| Generators | {01,12} | {0101,12} | {01,02,1021} | ||||||||