From Wikipedia, the free encyclopedia
Small index subgroups of [4,4]
Subgroup index 1 2 4
Diagram
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
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
Coxeter [4,4]+

[1+,4,4+

[4+,4,1+

[(4,1+,4,2+)]

[1+,4,1+,4,1+] = [(4+,4+,2+)]

,
Orbifold (442) (2222)
From Wikipedia, the free encyclopedia
Small index subgroups of [4,4]
Subgroup index 1 2 4
Diagram
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
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
Coxeter [4,4]+

[1+,4,4+

[4+,4,1+

[(4,1+,4,2+)]

[1+,4,1+,4,1+] = [(4+,4+,2+)]

,
Orbifold (442) (2222)

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