Classes & orders

Arrangements

Point groups and their WPV symbols

Space E⁴

Space E⁵

C₅ × C₄ (20)

4(5) 10(4) 5(2)

(XXXa)

(XXXa)

C₁₀ × C₄ (40)

4(10) 4(5) 20(4) 11(2)

(XXXa), [10].42

(C₅ × C₄) × C2 (40)

4(10) 4(5) 20(4) 11(2)

(C₁₀ × C₄) × C₂ (80)

12(10) 4(5) 40(4) 23(2)

A₅ (60)

24(5) 20(3) 15(2)

(XXXa)

S₅ (120)

24(5) 20(6) 20(3)30(4) 25(2)

(XXXa)

[5] × (42 3) (XXXa),

,

A₅ × C₂ (120)

24(10) 24(5) 20(6)20(3) 31(2)

[10] × 23

, (XXXa)

S₅ × C₂ (240)

24(10) 24(5) 60(6) 20(3) 60(4) 51(2)

[10] ×

, ,

, ,

(hol. XXXa)

A₅ × C₂ × C₂ (240)

72(10) 24(5) 60(6) 20(3)63(2)

S₅ × C₂ × C₂ (480)

72(10) 24(5) 140(6)120(4) 20(3) 103(2)

(hol.XXX)