In summary, "spec ops" typically refers to specialized military units or operations, while "black ops" refers to clandestine or covert operations, often with an emphasis on secrecy and deniability.
or black operation\n\n noun. Often black ops . a secret mission or campaign carried out by a military, governmental, or other organization, typically one in which the organization conceals or denies its involvement: Some national intelligence agencies use black ops to undermine enemy governments.