# Quick question about subgroups of "odd" dihedral groups

## 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!