Did not see this already posted - but consider changing the current white icons for each character class to a specific color - this’d make it far easier at a glance to figure out which multi-classes the team belongs to - so for example
Assault - white icon
Heavy - black (grey) icon
Sniper - red
Technician - yellow
Berserker - purple
Infiltration - green
Priest - orange
This is similar to a great mod for Civ 5 that allowed religion symbols for cities to be colored.