Dihedral Group D4/Normal Subgroups
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Examples of Normal Subgroups of the Dihedral Group $D_4$
Generated Subgroup $\gen {a^2}$
The subgroup of $D_4$ generated by $\gen {a^2}$ is normal.
Generated Subgroup $\gen a$
The subgroup of $D_4$ generated by $\gen a$ is normal.
Generated Subgroup $\gen {a^2, b}$
The subgroup of $D_4$ generated by $\gen {a^2, b}$ is normal.