Here's what rhymes with algogenic.
splenic biogenic eugenic phrenic psychogenic allergenic irenic antigenic cryogenic pyogenic photogenic pathogenic carcinogenic transgenic mutagenic neurogenic androgenic calisthenic hypoallergenic telegenic callisthenic anthropogenic iatrogenic teratogenic neurasthenic schizophrenic hallucinogenic Words that almost rhyme with algogenic
totemic pfennig academic endemic polemic epidemic systemic ischemic pandemic leukaemic epistemic nonacademic technic benthic derrick poetic pelvic ferric relic peptic eutectic steric medic fetich pectic genetic authentic generic kinetic acetic metric pathetic angelic ascetic forensic septic alphabetic centric cleric enteric hectic allelic emetic sceptic turmeric chimeric gametic bathetic copacetic domestic aesthetic energetic prophetic athletic diabetic majestic cosmetic esoteric esthetic numeric phonetic apathetic aseptic diuretic egocentric psychedelic skeptic tartaric dietetic geodesic geodetic hermetic hysteric acerbic lovesick polytechnic pyrotechnic paregoric redbrick exegetic electric magnetic arithmetic synthetic anesthetic dialectic dielectric eccentric geometric symmetric apologetic concentric eclectic epileptic anaesthetic obstetric prosthetic psychometric cybernetic empathetic frenetic isomeric anorexic dyslexic dyspeptic geocentric inauthentic anorectic antithetic cataleptic evangelic paramedic splenetic diametric parenthetic unaesthetic unauthentic narcoleptic cliometric phrenetic dyslectic sympathetic atmospheric antiseptic asymmetric mesenteric parametric volumetric isometric barometric colorimetric ethnocentric kinesthetic monomeric neuroleptic photometric alphanumeric apoplectic ionospheric peripatetic radiometric antipathetic homiletic paraplegic telekinetic nonathletic psychokinetic unesthetic econometric photoelectric photosynthetic phylogenetic antidiuretic biosynthetic geomagnetic isoelectric ontogenetic paramagnetic pharmacokinetic heliocentric thermometric unapologetic unsympathetic ferromagnetic stoichiometric trigonometric anthropocentric nonmagnetic onomatopoetic nonelectric electromagnetic hydroelectric parasympathetic nonparametric piezoelectric