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Element structure of dihedral group:D8

1 byte added, 02:58, 1 July 2011
Conjugacy class structure
| <math>\! \{ ax, a^3x \}</math> || reflections about lines joining midpoints of opposite sides || <math>\{ (1,4)(2,3)\ , \ (1,2)(3,4) \}</math> || 2 || 2 || <math>\{ e, a^2, ax, a^3x \}</math> -- one of the [[Klein four-subgroups of dihedral group:D8]]
|-
| <math>\! \{ a, a^3 \}</math> || rotations by odd muliples multiples of <math>\pi/2</math> || <math>\{ (1,2,3,4) \ ,\ (1,4,3,2) \}</math> || 2 || 4 ||<math>\{ e, a, a^2, a^3 \}</math> -- the [[cyclic maximal subgroup of dihedral group:D8]]
|-
| Total (5)|| -- || -- || 8 || -- || --
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