Characteristic subgroup#BurnsideFiniteGroups;92
Characteristic subgroup#DummitFoote;135;Section 4.4 (''Automorphisms'');formal definition
Characteristic subgroup#Herstein;70;Problem 7(a);introduced in exercise
Characteristic subgroup#Artin;234;Section 8 (''generators and relations''), Exercise 7;introduced in exercise
Section 8 (''generators and relations''), Exercise 7
Characteristic subgroup#Fraleigh;428;Exercises 8.6, Concepts, Point 4;introduced in exercise
Characteristic subgroup#CohnBasicAlgebra;46;Section 2.6;definition in paragraph
Characteristic subgroup#Hungerford;103;Chapter II, Section 7;definition in paragraph
Characteristic subgroup#IsaacsGT;11;definition in paragraph
Characteristic subgroup#AlperinBell;17;formal definition in paragraph
Characteristic subgroup#KhukhroNGA;4;Section 1.1;definition in paragraph
Characteristic subgroup#RobinsonGT;28;Section 1.5;definition in paragraph
Characteristic subgroup#RotmanGT;104;formal definition
Characteristic subgroup# QUERYa06e7f16fa3dc8cb712b7a1b798724eb
Characteristic subgroup
Characteristic subgroup# QUERY55395050ea172d0d6c3f628a0a46b1b8
Characteristic subgroup 1
Characteristic subgroup# QUERY6ac54b11840a557f9c295d89c5e47962
Fact about.Page::Characteristic subgroup
Characteristic subgroup# QUERY2ff4463348e01ea87a0c9241fbb7966c
Characteristic subgroup# QUERY95a4ba54f66285f3a26d650fde6b7f11
Survey article about.Defining ingredient::Characteristic subgroup
Characteristic subgroup# QUERYb11caf297924194e58e78e7366aa526f
Characteristic subgroup# QUERY7fc565309111a9c9e1d29eb101b286d3
Characteristic subgroup# QUERY198fc0a4636c1b745c4fe2bf3c1ebf9a
Characteristic subgroup# QUERY154f057d9dc2b7aa69f911bae4a9cf1f
Characteristic subgroup# QUERYa1f7e61d8b1b48bd6ed9f18a212fc062
Characteristic subgroup# QUERY1f3141e0f114f7c5cf30753e39cddf94
Characteristic subgroup# QUERY43ed068db99e49ffd0eb6decb98a1f04
Characteristic subgroup# QUERY2cf3ae37f355dbcf847dba5637ce95de
Characteristic subgroup# QUERYf8128bb60541907c61e48c4626880971
Characteristic subgroup# QUERY33525c29530957d864b95d3b42e7e35e
Characteristic subgroup# QUERY7c5592e855c53ffa9aa708de671f3ab4
Characteristic subgroup# QUERYe5a59a67fe83053408b3e4ec128c2d46
Characteristic subgroup# QUERYc59ca6f7b6c7879085cb4a7c4dccd769
Characteristic subgroup OR Satisfies property.Stronger than::Characteristic subgroup
Characteristic subgroup# QUERYe565c9b7bcdbdfe0820af432788f561c
Characteristic subgroup OR Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERY19258d880aff1bcdd33cd59710c409a5
Characteristic subgroup# QUERY7bf750b01d97f613f8288d39f7e032fe
Characteristicity is strongly intersection-closed
Characteristic subgroup# QUERYb246e87d7703c03fc39400c00ed09fc6
Characteristicity is strongly join-closed
Characteristic subgroup# QUERY0eec044d3c73c725f937ded1e7e6a4b3
Characteristicity is quotient-transitive
Characteristic subgroup# QUERYa71760b4a2caa50922333d640ef073a2
Characteristicity does not satisfy intermediate subgroup condition
Characteristic subgroup# QUERY54145834bd5c7448b5656d41e5b11efd
Characteristicity is not upper join-closed
Characteristic subgroup# QUERY9ded037d559e0d3ca7bb064559c26f49
Characteristicity is commutator-closed
Characteristic subgroup# QUERYbf0141e136c85653672139c09f410196
Characteristicity is centralizer-closed
Characteristic subgroup# QUERYaa1ae581fdf28638a6719b7397333868
Characteristicity does not satisfy lower central series
Characteristic subgroup# QUERY1e6fe3282153ad2e3b068da2568253da
Characteristicity is not finite direct power-closed
Characteristic subgroup# QUERY53d9feae764698b132b1298cf7054f2e
Characteristicity is not finite-relative-intersection-closed
Characteristic subgroup# QUERYdd7201ef2fc5a3f97fb5ed71cbd13cf3
Characteristicity satisfies partition difference condition
Characteristic subgroup# QUERYc81d22bc3e89b700b9ec1953e567e847
No subgroup property between normal Sylow and subnormal or between Sylow retract and retract is conditionally lattice-determined
Characteristic subgroup# QUERYee358842c83a611407fde6b13b8d909e
Characteristic subgroup Fully invariant subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Fully invariant subgroup
Characteristic subgroup# QUERY289079cacd555bbe0c2c7ddb759e58f2
Characteristic subgroup Fully invariant subgroup
Characteristic subgroup# QUERY706af4aeca70c5b52f9d6f213b4c761b
Characteristic subgroup# QUERY98d1861686ad2da1a3e9803e73541e0b
Characteristic subgroup Isomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Isomorph-containing subgroup
Characteristic subgroup# QUERYfc4ac0899159a3aefa107a001dfc40b5
Characteristic subgroup Isomorph-containing subgroup
Characteristic subgroup# QUERY91be1adcc1c68c76ccb96c72835e637a
Characteristic subgroup# QUERY589e93175e8ba79b07f4cd8f6ef8a49b
Characteristic subgroup Isomorph-free subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Isomorph-free subgroup
Characteristic subgroup# QUERY79708ae4ac1f4d3dc2633f350656ac04
Characteristic subgroup Isomorph-free subgroup
Characteristic subgroup# QUERYc9ddc45eb1d0c8bf95d7c935153ecce2
Characteristic subgroup# QUERYf7daedf972e9452cd31819105bcddd06
Characteristic subgroup Injective endomorphism-invariant subgroup
Characteristic subgroup# QUERY1a9f84122651b2cdcefd4750097c0d85
Characteristic subgroup# QUERY6646a500388cb4adcfa5a3a68d3ff610
Characteristic subgroup Strictly characteristic subgroup
Characteristic subgroup# QUERY5806094ca073dc22430df0bb0a4c5839
Characteristic subgroup# QUERY3379c0a64324624be1874110185ea295
Characteristic subgroup Homomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Homomorph-containing subgroup
Characteristic subgroup# QUERY02e2389cfd5d75ed20583a00a6f5c16c
Characteristic subgroup Homomorph-containing subgroup
Characteristic subgroup# QUERYb78d7e953d9150cb36dc3960e703441d
Characteristic subgroup# QUERYec394b9310f12ef8cff563849f835bb1
Characteristic subgroup Subhomomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Subhomomorph-containing subgroup
Characteristic subgroup# QUERY449ab975e0ee6114dc45b878914633be
Characteristic subgroup Subhomomorph-containing subgroup
Characteristic subgroup# QUERYc2337bffec85c3bcf50d29bea912601b
Characteristic subgroup# QUERY1b5d110484086573c7b9a95431e213bc
Characteristic subgroup Variety-containing subgroup
Characteristic subgroup# QUERY00abdfb4fec0108d4b6f1e11c7d75da9
Characteristic subgroup# QUERY5d7f8a3300028b63e88bdab520854742
Characteristic subgroup Quotient-isomorph-containing subgroup OR Satisfies property.Stronger than::Characteristic subgroup Dissatisfies property.Weaker than::Quotient-isomorph-containing subgroup
Characteristic subgroup# QUERY940d0dc142b53e2f0d925c192c74cacc
Characteristic subgroup Quotient-isomorph-containing subgroup
Characteristic subgroup# QUERYc215b46ba2fe2265775f1cab7165a7d0
Characteristic subgroup# QUERY719471de9aa3b27c38dccd0bb6b26cf1
Characteristic subgroup Quotient-subisomorph-containing subgroup
Characteristic subgroup# QUERYb09cf91adc084706a468e64e3783bc04
Characteristic subgroup# QUERY1497b8611b61782a0e9adfd10e9f3cc8
Characteristic subgroup Elementarily characteristic subgroup
Characteristic subgroup# QUERY959ec0f2db6c82958aa297fbfb82ab9e
Characteristic subgroup# QUERY28e918a371d0bb6698a8d7b8c8a406ff
Characteristic subgroup Purely definable subgroup
Characteristic subgroup# QUERYabf8ce238ae193adf988017b113bb7e1
Characteristic subgroup# QUERY248024949ff3986a43529c5f1cbcf1d5
Characteristic subgroup MSO-definable subgroup
Characteristic subgroup# QUERY5d52d64caf08f439bd43708bac55ce37
Characteristic subgroup# QUERY6d9d5561f9ba123436a95e5dc06cfcc8
Characteristic subgroup Intermediately characteristic subgroup
Characteristic subgroup# QUERY704222ed62ed5715db8b90c84e87880d
Characteristic subgroup# QUERY2544fc0257f93512aae6e7fbdfe06f4d
Characteristic subgroup Transfer-closed characteristic subgroup
Characteristic subgroup# QUERY7c4c04c7484732e264814ef81763db8d
Characteristic subgroup# QUERY190f4887be65077a7b0e65b607dd3565
Characteristic subgroup Verbal subgroup
Characteristic subgroup# QUERY68fb79d427b314b546899f21c3a7835b
Characteristic subgroup# QUERY2a9edd6312f251e9120e0a5ef6256271
Characteristic subgroup Existentially bound-word subgroup
Characteristic subgroup# QUERYc2b64d608f47364e65eaf71a9fc34e9d
Characteristic subgroup# QUERY16ac3f6154b6c3bc4512010ad0b7f2a8
Characteristic subgroup Bound-word subgroup
Characteristic subgroup# QUERY5b90c2002a8057fe5e0687b4c39efc13
Characteristic subgroup# QUERYb1bbdc5ca69bedb882120e69631151a6
Characteristic subgroup Finite direct power-closed characteristic subgroup
Characteristic subgroup# QUERY158f5d6f2f92ef06f7f39729a75d9b66
Characteristic subgroup# QUERY6490e55919a3a5e51447badcd4d730dd
Characteristic subgroup Direct power-closed characteristic subgroup
Characteristic subgroup# QUERY42e6f8d23ef0b22cd5da94f0ba3070b3
Characteristic subgroup# QUERY413b0913d35d12a006616299a28d36dc
Characteristic subgroup Quasiautomorphism-invariant subgroup
Characteristic subgroup# QUERY74d52ce674776d5bdc562099d5f34469
Characteristic subgroup# QUERY63ef07d616842183d149ee17d77070c6
Characteristic subgroup 1-automorphism-invariant subgroup
Characteristic subgroup# QUERY6c4aa736d696dbff27836eb80ee290f3
Characteristic subgroup# QUERYd6918b8dd475e9c6cc73716db4902168
Characteristic subgroup# QUERY078105b3e0b1eaea76e88857fe6aa3c1
Characteristic subgroup Transitive subgroup property
Characteristic subgroup# QUERY44526c56ff7ed747ba487959721bcc04
Characteristic subgroup Intermediate subgroup condition
Characteristic subgroup# QUERY33724b432faf50b158473dc204dacd97
Characteristic subgroup Transfer condition
Characteristic subgroup# QUERY9561e9e56f1330d820cdd0512b444b0b
Characteristic subgroup Quotient-transitive subgroup property
Characteristic subgroup# QUERYfa5b8b9e552f34e4e02144d82bdbbb60
Characteristic subgroup Intersection-closed subgroup property
Characteristic subgroup# QUERY3576f92402fcdccc4a97973cdb75789b
Characteristic subgroup Join-closed subgroup property
Characteristic subgroup# QUERYb31f110fba57fc68a0e1b32b1d59585b
Characteristic subgroup Trim subgroup property
Characteristic subgroup# QUERYcd68c2296c274fb9fa798d72ab366cbd
Characteristic subgroup Inverse image condition
Characteristic subgroup# QUERY1b456ec4996b72e708093db3b324149a
Characteristic subgroup Image condition
Characteristic subgroup# QUERY5a2c3563f66829388369d6befe10fc5b
Characteristic subgroup Centralizer-closed subgroup property
Characteristic subgroup# QUERYa7e402d12f33041c6c552054247d3668
Characteristic subgroup# QUERYcb0866fccdc93b34c9a9e8ea4b10f068
Characteristic subgroup# QUERY77907eac27a7d83138e52568cc2edcbc
Characteristic subgroup# QUERYbe7bc32d19636a5a94c49792ea6aa8f2
Characteristic subgroup# QUERY1b9ad510a4fff1d4a4c02ec1d3b1b3a1
Characteristic subgroup# QUERYbb3b2a447559dd7124d69f55a34dbf71
Characteristic subgroup# QUERY603b894b9bdc4a69dbfc9d68d1d0fe9a
Characteristic subgroup# QUERYaf9506c9f05870bd49466e9cc1dbcaa6
Characteristic subgroup# QUERY970074efe53a8f46068be0aa19a6cb47
Characteristic subgroup# QUERYe7053561254024021bd21575a2157689
Characteristic subgroup# QUERY842b14971a0d68b8173876ab44b3ada9
Characteristic subgroup Characteristic central factor
Characteristic subgroup# QUERYbfe95b507d82b01833739b1701f1c428
Characteristic subgroup# QUERYcd0bef60c610c7b2465feee939d26aac
Characteristic subgroup Conjugacy-closed characteristic subgroup
Characteristic subgroup# QUERYcad13c2465dba94d713d233ea65bebe9
Characteristic subgroup# QUERY66ffbd41f8709a69431490bf56ae4ccc
Characteristic subgroup Characteristic transitively normal subgroup
Characteristic subgroup# QUERY25963084d0acf267f30708750bd46952
Characteristic subgroup# QUERY776a7372d20037dca5f04451399eeca3
Characteristic subgroup Characteristic subgroup of finite index
Characteristic subgroup# QUERYf2dfb75695d3c79ab5d8fc0ce2e27a54
Characteristic subgroup# QUERY2a1279dee5e74e8f8298b86f216bef69
Characteristic subgroup# QUERYcece0a4506b79982e792ae7e58496766
Characteristic subgroup Abelian characteristic subgroup
Characteristic subgroup# QUERYb46e142a35139698a20574a7376410f1
Characteristic subgroup# QUERYce07e1f4c451b036dcbaf5bb7b050b26
Characteristic subgroup Nilpotent characteristic subgroup
Characteristic subgroup# QUERYe989e9326fa47f0ae6aa82062c6280ab
Characteristic subgroup# QUERYa11bc73b56cd5c1600f6a8e1f2853154
Characteristic subgroup Cyclic characteristic subgroup
Characteristic subgroup# QUERY6618f2fa7b8c221e14f252bb7bf351a0
Characteristic subgroup# QUERY02ca209bc957d753f84b80cff82d3857
Characteristic subgroup Solvable characteristic subgroup
Characteristic subgroup# QUERYb7a6bca567ff20f89bf3d4474aae0f00
Characteristic subgroup# QUERY8e58908649c322fa359c70cc60515cb5
Characteristic subgroup Finite characteristic subgroup
Characteristic subgroup# QUERY633f25086b6a0603aab8b3121ced4363
Characteristic subgroup# QUERY3225b7fb4b80cd4ce5655c173371934d
Characteristic subgroup Perfect characteristic subgroup
Characteristic subgroup# QUERY8949f4bac1dd08acea88cc9de987e9f4
Characteristic subgroup# QUERYe0f2f68748c31a6404b50c756eba2e62
Characteristic subgroup Simple characteristic subgroup
Characteristic subgroup# QUERYc01e369c34bb80a30b248d56d3a6d338
Characteristic subgroup# QUERYcb704b90f80d548b16df5f2c1beacec3
Characteristic subgroup# QUERY4f3000bd3e72cd9442ec78b53216178e
Characteristic subgroup Characteristic subgroup of finite group
Characteristic subgroup# QUERY5b6aaf0c8426fd26d474c735410c6a28
Characteristic subgroup# QUERYec4dcca50357e8e25082fffe2a4c12c8
Characteristic subgroup Characteristic subgroup of abelian group
Characteristic subgroup# QUERY729d4e409f16571607a748f05b907053
Characteristic subgroup# QUERY5215ed0fb4152858a385daa19ed3bbad
Characteristic subgroup Subgroup of cyclic group
Characteristic subgroup# QUERY6c4eae9ec06fe36631bd2d1f20c9fccd
Characteristic subgroup# QUERY8e3d68a8d2ff1e23a95613aadbd8df83
Characteristic subgroup Characteristic subgroup of finite abelian group
Characteristic subgroup# QUERYd66310f6e7f4f65616fb20392a12e24f
Characteristic subgroup# QUERY93bccd707c78262e32c16383c6e569f8
Characteristic subgroup Characteristic subgroup of nilpotent group
Characteristic subgroup# QUERY918ded01e4682596880ef7d0a193ea15
Characteristic subgroup# QUERYd7ed4d04965aab8cb99d8eaf8f793f78
Characteristic subgroup Characteristic subgroup of group of prime power order
Characteristic subgroup# QUERY5098661c23f5b2b419f572f9c905f6a4
Characteristic subgroup# QUERY86d3afc1c74a0abc04485b3c28e29389
Characteristic subgroup Characteristic subgroup of solvable group
Characteristic subgroup# QUERY0002b18e48460ec8ce54ea30778aa5c7
Characteristic subgroup# QUERY489c02c66a5471fb28b477cd0f268f6b
Normal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Normal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERY5e2655e13ad05870c73678d116507e6e
Normal subgroup Characteristic subgroup
Characteristic subgroup# QUERY9c20fd8454bcc1441e1ba02d01c45f2f
Characteristic subgroup# QUERY4e47f44a59a6362fe976eceed7a72aad
Subnormal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Subnormal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERYffea599966136912409925611f23a7ac
Subnormal subgroup Characteristic subgroup
Characteristic subgroup# QUERY71ff367159e37f6299e2dadd7cc2da42
Characteristic subgroup# QUERYbd6092293b9f4f205574c979a8a7e266
Cofactorial automorphism-invariant subgroup Characteristic subgroup OR Satisfies property.Stronger than::Cofactorial automorphism-invariant subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERYe748665390d832079effb6ab7450063f
Cofactorial automorphism-invariant subgroup Characteristic subgroup
Characteristic subgroup# QUERY7225d4b66f4e2b66c2f1bdb123842f9c
Characteristic subgroup# QUERYa2ea570295eeb524e8edfb2f3a668634
Coprime automorphism-invariant subgroup Characteristic subgroup
Characteristic subgroup# QUERY703d00c10221cfcb8c11d6672030baf9
Characteristic subgroup# QUERY7cc3370edb5c51054c42b271e6e8be64
Coprime automorphism-invariant normal subgroup Characteristic subgroup
Characteristic subgroup# QUERY84b9e1c95ef03188517b5246060f85b6
Characteristic subgroup# QUERY25f5deb71227dcc0170af8e79a3ab886
Left-transitively 2-subnormal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Left-transitively 2-subnormal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERY26eae43ad995034c1acb1a2854853467
Left-transitively 2-subnormal subgroup Characteristic subgroup
Characteristic subgroup# QUERY063fecc27a5354e3e9a2d600c82a81f6
Characteristic subgroup# QUERY257c6a81e1748688da1e35e996e2f604
Left-transitively fixed-depth subnormal subgroup Characteristic subgroup OR Satisfies property.Stronger than::Left-transitively fixed-depth subnormal subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERY28774feb4f1c5d5d409f7cfd2e05e794
Left-transitively fixed-depth subnormal subgroup Characteristic subgroup
Characteristic subgroup# QUERYcb0535d20cc4d7733d2d9c9bf1751f87
Characteristic subgroup# QUERY5c2f552f62ec346663e78d9a7d08d1f9
Automorph-conjugate subgroup Characteristic subgroup OR Satisfies property.Stronger than::Automorph-conjugate subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERY427c649892c9858ab4b0970939ed27c6
Automorph-conjugate subgroup Characteristic subgroup
Characteristic subgroup# QUERY8ce6e5cf2ebf6060595d26df6194f69f
Characteristic subgroup# QUERY3e3142cba27ed1cbe1c8350dc6a7ebbb
Core-characteristic subgroup Characteristic subgroup OR Satisfies property.Stronger than::Core-characteristic subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERYbaa48534184cd4a665c1489b56047baa
Core-characteristic subgroup Characteristic subgroup
Characteristic subgroup# QUERY82ef2f51c5f2eb6ecde2f95f9ae0edcc
Characteristic subgroup# QUERY4e01c1c6442473b95d77ab6ab481923b
Closure-characteristic subgroup Characteristic subgroup OR Satisfies property.Stronger than::Closure-characteristic subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERYf26a6397720d223d939b20e12501f088
Closure-characteristic subgroup Characteristic subgroup
Characteristic subgroup# QUERY44ab7d2361b862e17ca9f742275e61aa
Characteristic subgroup# QUERYbbab77a5ed1817f5b2138ef7dd890706
Procharacteristic subgroup Characteristic subgroup OR Satisfies property.Stronger than::Procharacteristic subgroup Dissatisfies property.Weaker than::Characteristic subgroup
Characteristic subgroup# QUERY01863e78f77ee70bb9e8f7d37dad0966
Procharacteristic subgroup Characteristic subgroup
Characteristic subgroup# QUERYd3a18f2db21b816d91e1206a5af42d58
Characteristic subgroup# QUERYb6a72c49f3505848890d75ad4b10dd06
Characteristic subgroup# QUERY9813ececc8534fee4e5555b3e40ad625
Characteristic subgroup# QUERYef14d2b6f9e2830eb882b3d8d43b8828
Characteristic subgroup# QUERY53881db0e5fdaa9c368e031e2773fb27
Characteristic subgroup# QUERY90d30e1ff7d1f4a840d8433759908d5d
Characteristic subgroup# QUERYff802c4276cdd032e5a87c54a10da58b
Characteristic subgroup# QUERYded17ca13b4b9837edd560a91448f99c
Characteristic subgroup# QUERYc4c5592a53a24840968ea58d28779d3f
Characteristic subgroup# QUERY124342af7182112386db3c517db89bb7
Characteristic subgroup# QUERY7f395da0b6f4dda84742b6a412b1679e
Characteristic subgroup# QUERY0ac6cf28d427b2c6a9627f7dfa2a85a0
Characteristic subgroup# QUERY9903ebc8159cc1e28fce0bacbf9c81e9
Characteristic subgroup# QUERYa96e14564a1990d3e0f41ac8784d47a5
Characteristic subgroup# QUERYb5349faa8747d9f49fb202c2fb987062
Characteristic subgroup# QUERYd5b75fa1b9c1b95515fa6ea834c724b9
Characteristic subgroup# QUERYf72f508fa24d8fc19165ad073425d30a
Characteristic subgroup# QUERY6fb2d77428634aa87e68666c0d2c8cbe
Characteristic subgroup# QUERY79ca6f0bc9bf997fe8531c37565abac9
Characteristic subgroup# QUERYfd35f0f126e726de98792b1b2052676e
Characteristic subgroup# QUERYc9fb04dc9481bdac413a5d6da9bf8332
Characteristic subgroup# QUERY0a2239614da0505b7dd0f77716fe0cb8
Characteristic subgroup# QUERYc3eff2e839f04fd2a62d38bff9c0e748
Second-order subgroup property
Characteristic subgroup# QUERYe7955396f5bf66153df1ba4f6eab9191
Function restriction-expressible subgroup property
Characteristic subgroup# QUERY6aa24c02f8e67de24223fa849790e0e6
Relation implication-expressible subgroup property
Characteristic subgroup# QUERYda878a4b9f5ff2713c910190c3a8d6ad
GAP-testable subgroup property
Characteristic subgroup# QUERYab3deb33606903472662717bd3ca61c2
GAP-listable subgroup property
Characteristic subgroup# QUERYe6c7e410aa0a9124a787ec94e3720a50
GAP-codable subgroup property
Characteristic subgroup# QUERY0db1d57349eaa4fa10fe190d719c5331
Direct factor of characteristic subgroup
Characteristicity is transitive#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
Characteristic implies normal#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
Normal not implies characteristic#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
Characteristic of normal implies normal#Characteristic subgroup# 9a34df27c99679c88be5eda450e18c0d
Characteristicity is not upper join-closed#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1
Characteristicity is not finite direct power-closed#Characteristic subgroup;1# 379a7510701925b6767a584c6105c9a1