Cr point groups of the primitive crystal family (Hyper cube 4 dim)-al

Classes

WPV Symbols

Arrangement

Order

Q8 & (C4-C4)

E⁴;

6(4) 1(2)

8

Q8.C2

E⁴;; ;

8(4) 7(2)

16

Q8 × C2

12(4) 3(2)

16

C8.C2

E⁴;;;

4(8) 6(4) 5(2)

16

C8-C8

E⁴;;

8(8) 4(4) 3(2)

16

Q8.C3

E⁴

8(6) 6(4) 8(3) 1(2)

24

Q8.(C2 × C2)

E⁴;;

12(4) 19(2)

32

D8.C2

E⁴;;;;;

8(8) 8(4) 15(2)

32

C4.(C4 × C2)

E⁴;;

20(4) 11(2)

32

(C8-C8).C2

E⁴;;

16(8) 4(4) 11(2)

32

C8.C4

E⁴;;;

8(8) 16(4) 7(2)

32

(Q8.C2) × C2

16(4) 15(2)

32

(C8.C2) × C2

8(8) 12(4) 11(2)

32

(C8-C8) × C2

16(8) 8(4) 7(2)

32

C8.D3

E⁴;

12(8) 8(6) 6(4) 8(3) 13(2)

48

(Q8.C3) × C2

24(6) 12(4) 8(3) 3(2)

48

D8.C4

E⁴;;

;;

16(8) 20(4) 27(2)

64

D4.(C4 × C2)

E⁴;

;

36(4) 27(2)

64

(C4 × C4).C4

E⁴;;

44(4) 19(2)

64

C8.D4

E⁴, , ,

16(8) 28(4) 19(2)

64

Q8.(C2 × C2 × C2

24(4) 39(2)

64

(D8.C2) × C2

16(8) 16(4) 31(2)

64

(C4.C4 × C2) × C2

40(4) 23(2)

64

((C8-C8).C2) × C2

32(8) 8(4) 23(2)

64

(C8.C4) × C2

16(8) 32(4) 15(2)

64

D4.A4

E⁴

32(6) 12(4) 32(3) 19(2)

96