Subgroup property timeline

Pre-World-War II

• 1829-33: Galois introduced the notions of subgroup and normal subgroup (in a very loose fashion) in his monumental work linking groups to Galois extensions
• 1895: Frobenius introduced the notion of characteristic subgroup
• 1933: Levi introduced the notion of fully characteristic subgroup
• 1937: Oystein Ore introduced the concept of quasinormal subgroup, which is now known as permutable subgroup

1945-1990

• 1961: Carter introduced the notions of abnormal subgroup and Carter subgroup in his paper Nilpotent self-normalizing subgroups of soluble groups, Math. Zeitschr. 75, 136-139 (1961)
• 1967: John S. Rose introduced the notion of pronormal subgroup in his paper Finite soluble groups with pronormal system normalizers

1990 onwards

• 1996: Wang introduced the notion of c-normal subgroup
• 1996: Foguel introduced the notion of conjugate-permutable subgroup
• 2001: Wise introduced the notion of cyclonormal subgroup
• 2002: Zhum Guo and Shum introduced the notion of weakly c-normal subgroup