# Changes

## Element structure of dihedral group:D8

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