Imagen sits next to 3 phonetic neighbors — Imogen, Imagine, and Carmen are the closest matches by sound. Most share Imagen's Spanish-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"image, likeness"
"exalted (variant of Aliya)"
Similar sound: These names share phonetic patterns with Imagen — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Imagen.
Rhythm: Imagen is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.