The practical distinction is thread size versus drive and head geometry. “M6” describes the nominal metric thread, not the outside size of the head. Two M6 Allen bolts can use the same thread but have different head diameters, head heights, socket depths, and tool engagement because they are different styles.
This matters in assemblies with limited clearance. A socket head cap screw gives strong tool engagement but needs more vertical head space. A button head sits lower but has a wider, shallower rounded head. A countersunk Allen screw sits flush only if the mating part has the correct countersink angle and depth.
Start by naming the head style, not only the thread. If you need the common cylindrical Allen bolt, ask for an M6 socket head cap screw and state the dimensional standard you want followed. If the bolt must sit flush, ask for a countersunk socket screw instead. If the visible head should be low and rounded, a button head may fit better.
Check the tool access before choosing the head. A 5 mm Allen key is typical for an M6 socket head cap screw, but other M6 head styles may use a different socket size. Shallow sockets are easier to damage if the tool is worn, inserted at an angle, or used where the tightening torque is high.
Match the head dimensions to the mating part. For a counterbored hole, confirm the counterbore diameter and depth against the bolt head diameter and height. For a slotted bracket or sheet metal part, check whether the head bearing area is large enough or whether a washer is needed.
For an inquiry, send the thread size, length measured from the correct point for that head style, head type, material or strength requirement, surface finish, and any drawing or standard you need followed. If the assembly has a counterbore, countersink, or restricted tool access, include those details before confirming the order.