Quick question about subgroups of "odd" dihedral groups

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Main Question or Discussion Point

Will odd dihedral groups (e.g. d6, d10, d14) only have the identity, σ, τ and itself as subgroups as any power of σ with τ generates the entire group?

If so would the subgroup lattice of d14 just be:
d14 → σ & τ → e

Thanks!
 

Answers and Replies

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Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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