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References to 'proper subgroup'
1. Cayley's theorem by vitriol
2. characterization of finite nilpotent groups by yark
3. core of a subgroup by yark
4. dihedral group properties by Algeboy
5. existence of maximal subgroups by Algeboy
6. finite nilpotent groups by Algeboy
7. generalized quaternion group by Algeboy
8. Hopfian group by yark
9. hyperk\"ahler manifold by tiphareth
10. Klein 4-group by Algeboy
11. lattice of subgroups by CWoo
12. maximal subgroup by yark
13. normalizer condition by yark
14. projective line configurations by rspuzio
15. proof of properties of Hopfian and co-Hopfian groups by joking
16. proof that a nontrivial normal subgroup of a finite $p$-group $G$ and the center of $G$ have nontrivial intersection by rm50
17. property of infinite simple group by Algeboy
18. quasicyclic group by yark
19. Solovay-Strassen test by mathwizard
20. spin groups by bci1
21. Tarski group by yark
22. topological group by yark