The HACEK group of fastidious gram-negative bacteria includes Haemophilus aphrophilus (now Aggregatibacter aphrophilus), Actinobacillus actinomycetemcomitans, Cardiobacterium hominis, Eikenella corrodens, and Kingella kingae. Acinetobacter baumannii is not part of HACEK - it's a non-fermenting gram-negative bacillus with different characteristics.