Bilbao Crystallographic Server arrow Minimal Supergroups List Help

Minimal supergroups (of index 2, 3 and 4) of group P21 (No. 4) [unique axis b]

Minimal Supergroups
The list with the minimal supergroup types is given in the table. Each supergroup type is specified by its ITA number and the corresponding Hermann-Mauguin symbol. Also, the index of the supergroup and the supergroup type is given. To see all the transformation matrices that relate the supergroup of a given type with the subgroup, click on the link in the column Subgroup data.

To see all possible supergroups of a given type select the type of the supergroup, and then click over [Show]

To calculate the minimal isomorphic supergroups of index greater than seven click on the link of the index.

NHM symbolITA numberIndexTypeSubgroup data
1P21/m112ttransformation...
2P2221172ttransformation...
3P21212182ttransformation...
4P212121192ttransformation...
5C2221202ttransformation...
6Pmc21262ttransformation...
7Pca21292ttransformation...
8Pmn21312ttransformation...
9Pna21332ttransformation...
10Cmc21362ttransformation...
11P41762ttransformation...
12P43782ttransformation...
13P611693ttransformation...
14P651703ttransformation...
15P631733ttransformation...
16C252ktransformation...
17P232ktransformation...
18P2142ktransformation...
19P2143ktransformation...
20P2145ktransformation...
21P2147ktransformation...
22P21/c142ttransformation...

If you want to calculate a minimal isomorphic supergroup of higher index choose it from here:

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