# Category:4D Euclidean symmetry groups

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## Subcategories

This category has the following 32 subcategories, out of 32 total.

### (

- (P3❘W2)+ symmetry (2 P)
- (P4×2)+ symmetry (1 P)
- (R3+❘W2)+ symmetry (2 P)
- (R3❘W2)+ symmetry (2 P)
- (R3❘W2)/2 symmetry (2 P)
- (R4/2)×2 symmetry (3 P)
- (R4×2)+ symmetry (2 P)
- (R4×2)/2 symmetry (6 P)
- (W2❘W2+)×A1 symmetry (1 P)

### A

- A4+ symmetry (1 P)

### P

- P4×2 symmetry (17 P)

### R

- R3+×A1 symmetry (1 P)
- R3+❘W2 symmetry (2 P)
- R3×A1 symmetry (2 P)
- R3❘W2 symmetry (3 P)
- R4 symmetry (20 P)
- R4/2 symmetry (2 P)
- R4×2 symmetry (23 P)
- R4×I+ symmetry (4 P)

### S

- S4 symmetry (29 P)
- S4×2 symmetry (4 P)

### V

- V3+×A1 symmetry (1 P)
- V3+❘W2 symmetry (2 P)
- V3×A1 symmetry (8 P)
- V3❘W2 symmetry (18 P)
- V3❘W2+ symmetry (5 P)

### W

- W2❘W2❘W2+ symmetry (6 P)

### Z

- Z×A2 symmetry (1 P)
- Z×BC2 symmetry (1 P)
- Z×G2 symmetry (1 P)
- Z×H2 symmetry (2 P)
- Z≀S2 symmetry (1 P)