Informatics rhymes with:
automatics, charismatics, dramatics, klezmatics, mathematics, numismatics, pneumatics, systematics, telematics, acrobatics, aerobatics, attics, automatics, batiks, charismatics, democratic's, democratics, dramatics, fanatics, klezmatics, mathematics, numismatics, pneumatics, systematics, telematics
Informatics sounds like:
impairments, imprints, infirmities, informants, informatic