Bilbao Crystallographic Server arrow Minimal Supergroups List Help

Minimal supergroups (of index 2, 3 and 4) of group P2 (No. 3) [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
1P2/m102ttransformation...
2P222162ttransformation...
3P2221172ttransformation...
4P21212182ttransformation...
5C222212ttransformation...
6Pmm2252ttransformation...
7Pcc2272ttransformation...
8Pma2282ttransformation...
9Pnc2302ttransformation...
10Pba2322ttransformation...
11Pnn2342ttransformation...
12Cmm2352ttransformation...
13Ccc2372ttransformation...
14P4752ttransformation...
15P42772ttransformation...
16P-4812ttransformation...
17P61683ttransformation...
18P621713ttransformation...
19P641723ttransformation...
20C252ktransformation...
21P232ktransformation...
22P233ktransformation...
23P235ktransformation...
24P237ktransformation...
25P2/c132ttransformation...

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

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