In CC the character generation is listed depending on which one is loaded in a scene as shown below in the Avatar panel:
CC1:

CC3:

CC3+:

For most of the characters in CC the generation is listed in the thumbnail, or the folder name also:

For iClone almost all the default generation characters are stored in separate named folders such as G3, G5, G6 and CC. G1, G2, G3 and G5 characters can't, at the moment anyway, be loaded in CC so don't have a generation tag.
Gerry
System: Win 10 Pro (21H2), Asus X99-E WS, CPU i7-5930K -3,5 GHz, 32 GB DDR4 2666-16 RAM, NVidia GTX 1080 Ti GPU - 11 GB VRAM(Driver Studio-536.99), Samsung 850 Pro 512 GB SSD, 6 TB HD storage.