SymGen – Andrew Steele

SymGen | point groups | source | help

	1	1	m[100]	m[010]	m[001]	m[110]	m[110]	2[100]	2[010]	2[001]	2[110]	2[110]	4[001]	4³[001]	4[001]	4³[001]
1	1	1	m[100]	m[010]	m[001]	m[110]	m[110]	2[100]	2[010]	2[001]	2[110]	2[110]	4[001]	4³[001]	4[001]	4³[001]
1	1	1	2[100]	2[010]	2[001]	2[110]	2[110]	m[100]	m[010]	m[001]	m[110]	m[110]	4[001]	4³[001]	4[001]	4³[001]
m[100]	m[100]	2[100]	1	2[001]	2[010]	4³[001]	4[001]	1	m[001]	m[010]	4³[001]	4[001]	m[110]	m[110]	2[110]	2[110]
m[010]	m[010]	2[010]	2[001]	1	2[100]	4[001]	4³[001]	m[001]	1	m[100]	4[001]	4³[001]	m[110]	m[110]	2[110]	2[110]
m[001]	m[001]	2[001]	2[010]	2[100]	1	2[110]	2[110]	m[010]	m[100]	1	m[110]	m[110]	4³[001]	4[001]	4³[001]	4[001]
m[110]	m[110]	2[110]	4[001]	4³[001]	2[110]	1	2[001]	4[001]	4³[001]	m[110]	1	m[001]	m[100]	m[010]	2[100]	2[010]
m[110]	m[110]	2[110]	4³[001]	4[001]	2[110]	2[001]	1	4³[001]	4[001]	m[110]	m[001]	1	m[010]	m[100]	2[010]	2[100]
2[100]	2[100]	m[100]	1	m[001]	m[010]	4³[001]	4[001]	1	2[001]	2[010]	4³[001]	4[001]	2[110]	2[110]	m[110]	m[110]
2[010]	2[010]	m[010]	m[001]	1	m[100]	4[001]	4³[001]	2[001]	1	2[100]	4[001]	4³[001]	2[110]	2[110]	m[110]	m[110]
2[001]	2[001]	m[001]	m[010]	m[100]	1	m[110]	m[110]	2[010]	2[100]	1	2[110]	2[110]	4³[001]	4[001]	4³[001]	4[001]
2[110]	2[110]	m[110]	4[001]	4³[001]	m[110]	1	m[001]	4[001]	4³[001]	2[110]	1	2[001]	2[100]	2[010]	m[100]	m[010]
2[110]	2[110]	m[110]	4³[001]	4[001]	m[110]	m[001]	1	4³[001]	4[001]	2[110]	2[001]	1	2[010]	2[100]	m[010]	m[100]
4[001]	4[001]	4[001]	m[110]	m[110]	4³[001]	m[010]	m[100]	2[110]	2[110]	4³[001]	2[010]	2[100]	2[001]	1	m[001]	1
4³[001]	4³[001]	4³[001]	m[110]	m[110]	4[001]	m[100]	m[010]	2[110]	2[110]	4[001]	2[100]	2[010]	1	2[001]	1	m[001]
4[001]	4[001]	4[001]	2[110]	2[110]	4³[001]	2[010]	2[100]	m[110]	m[110]	4³[001]	m[010]	m[100]	m[001]	1	2[001]	1
4³[001]	4³[001]	4³[001]	2[110]	2[110]	4[001]	2[100]	2[010]	m[110]	m[110]	4[001]	m[100]	m[010]	1	m[001]	1	2[001]

This group contains 16 elements.
This group is complete.
This group is non-abelian. Operations which do not commute are highlighted.

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