The original SSE-based extensions added four instructions supporting SHA-1 and three for SHA-256.
SHA-1: SHA1RNDS4, SHA1NEXTE, SHA1MSG1, SHA1MSG2
SHA-256: SHA256RNDS2, SHA256MSG1, SHA256MSG2
The newer SHA-512 instruction set comprises AVX-based versions of the original SHA instruction set marked with a V prefix and these three new AVX-based instructions for SHA-512:
VSHA512RNDS2, VSHA512MSG1, VSHA512MSG2
AMD
All recent AMD processors support the original SHA instruction set: