System for fastening a rail, and fastening of a rail on a substrate

A system for fastening a rail on a substrate, comprising:

• a guide plate which is provided for laterally guiding the rail and has a standing surface configured to stand on the substrate;
• a support element which is provided to support the guide plate in an assembly position, on a side remote from the rail, against a stop and has for this purpose an abutment surface associated with the guide plate and a support surface associated with the stop;
• a spring element which is provided to be supported on the guide plate and at least one spring arm for exerting a resilient holding force onto a foot of the rail;
• and
• a tensioning means for tensioning the spring element;
• wherein the support element has a support lug which is provided to be supported on the substrate in an assembly position and to reach under the standing surface of the guide plate in such a way that the guide plate is supported on the substrate via the support lug in a region in which the guide plate and support lug overlap.