]> 2026-07-11T19:04:07+00:00 Subgroup 0 en 1 Term 2022-03-31T19:43:10Z 2459670.3216435 Subgroup 0 Subgroup#DummitFoote 0 Subgroup#AlperinBell 0 Subgroup#RobinsonGT 0 Subgroup#RobinsonAA 0 Subgroup#Lang 0 Subgroup#Fraleigh 0 Subgroup#Hungerford 0 Subgroup#Gallian 0 Subgroup#Herstein 0 Subgroup#Artin 0 Subgroup#Wikipedia 0 Subgroup#Planetmath 0 Subgroup#Mathworld 0 Subgroup#Springer Online Reference Works 0 Subgroup#Mathworld 0 1 table 2 [[Defining ingredient::Subgroup]] Subgroup# QUERY01443317a17e0bcfd79b72040d32dba4 0 2 table 5 [[Fact about:: <q>[[Page::Subgroup]] [[Number::1]]</q> ]] Subgroup# QUERY23e790b26e87cacd3edd5506eda1341e 0 2 table 3 [[Fact about.Page::Subgroup]] Subgroup# QUERYd434a22474a5ac28ee545da341293dd8 0 1 table 2 [[Survey article about::Subgroup]] Subgroup# QUERY14156fe794b677deba45f2b51304790b 0 2 plainlist 3 [[Survey article about.Defining ingredient::Subgroup]] Subgroup# QUERY7332f1b7166f4d6e01667771a73a45c7 0 1 plainlist 2 [[Analogue of::Subgroup]] Subgroup# QUERY27152583fa791b930e6950c00b0432c7 0 1 plainlist 2 [[Variation of::Subgroup]] Subgroup# QUERYa5f639b3054ac8c4c7aeb08409cafcb4 0 1 plainlist 2 [[Opposite of::Subgroup]] Subgroup# QUERYa3f2704211e92192fd6f5ce6605ce588 0 1 plainlist 4 [[Variation of::Subgroup]] [[Satisfies metaproperty::Intersection-closed subgroup property]] Subgroup# QUERY4e519ec63b44d23c7e0e624521182a57 0 1 plainlist 4 [[Variation of::Subgroup]] [[Dissatisfies metaproperty::Intersection-closed subgroup property]] Subgroup# QUERY022731828dc9504ede402c38f2fe332a 0 1 plainlist 2 [[Satisfies metaproperty::Intersection-closed subgroup property]] Subgroup# QUERY993e49e16d937d6a57d58b34bed96ad4 0 1 plainlist 2 [[Satisfies metaproperty::Strongly intersection-closed subgroup property]] Subgroup# QUERY1fe326dd858d414ec146df7839d1c85e 0 1 plainlist 2 [[Dissatisfies metaproperty::Intersection-closed subgroup property]] Subgroup# QUERYb336525f07412f93228f645d13c3a41e 0 1 plainlist 4 [[Variation of::Subgroup]] [[Satisfies metaproperty::Join-closed subgroup property]] Subgroup# QUERY1288938f19c85b887c92858d4c4c2844 0 1 plainlist 4 [[Variation of::Subgroup]] [[Dissatisfies metaproperty::Join-closed subgroup property]] Subgroup# QUERY8a206c736293223c6b7dcfa485fdaae2 0 1 plainlist 2 [[Satisfies metaproperty::Join-closed subgroup property]] Subgroup# QUERY5ae39dc9184c340ec4e54af306100774 0 1 plainlist 2 [[Satisfies metaproperty::Strongly join-closed subgroup property]] Subgroup# QUERY929d5d64e186a552d3e0d54b2999c962 0 1 plainlist 2 [[Dissatisfies metaproperty::Join-closed subgroup property]] Subgroup# QUERY8bcea2f5087381a249a16bf20fc6b2b7 0 1 plainlist 4 [[Variation of::Subgroup]] [[Satisfies metaproperty::Transitive subgroup property]] Subgroup# QUERY1457e8122b5d816017152e337883e00e 0 1 table 4 [[Variation of::Subgroup]] [[Dissatisfies metaproperty::Transitive subgroup property]] Subgroup# QUERY0cf524caf436d806d931166274c3bcb5 0 1 table 2 [[Satisfies metaproperty::Transitive subgroup property]] Subgroup# QUERY38ab9b5e3d7088e024b131c07cdb811d 0 2 plainlist 3 [[Fact about.Page::Transitive subgroup property]] Subgroup# QUERYe34b52d523c639aefb82d361d1eec897 0 1 plainlist 2 [[Satisfies metaproperty::Trim subgroup property]] Subgroup# QUERY64ad52d1e57ddc6e8f849f7e367f7786 0 1 plainlist 2 [[Satisfies metaproperty::Trivially true subgroup property]] Subgroup# QUERY83be3f4ebd8b488917167ba84d84002e 0 1 plainlist 2 [[Satisfies metaproperty::Identity-true subgroup property]] Subgroup# QUERYfeeb3465b34ceec2973c543cbc7a8227 0 1 plainlist 4 [[Variation of::Subgroup]] [[Satisfies metaproperty::Intermediate subgroup condition]] Subgroup# QUERY646b5385f2d84f09635dc8d0cc12556e 0 1 plainlist 4 [[Variation of::Subgroup]] [[Dissatisfies metaproperty::Intermediate subgroup condition]] Subgroup# QUERYeed2887c2bd803931b0adabc0bd6df47 0 1 plainlist 2 [[Satisfies metaproperty::Intermediate subgroup condition]] Subgroup# QUERY9d7932892c4bf52873c53226e9013449 0 2 plainlist 3 [[Fact about.Page::Intermediate subgroup condition]] Subgroup# QUERYbab61f493e5e2c47de7504662d46be45 0 1 plainlist 2 [[Satisfies metaproperty::Image condition]] Subgroup# QUERYebc0a3722a918abd76636ee436900d35 0 Lagrange's theorem#Subgroup;1# 5c63a18f19f20a331174efad25deaa0e 0 Commutator of a group and a subgroup implies normal#Subgroup;2# 98ff14fd34599dee5e29904fcf8dd8c9 0 Quotient group need not be isomorphic to any subgroup#Subgroup;2# 98ff14fd34599dee5e29904fcf8dd8c9 Page 132 en Page