<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE rdf:RDF[
	<!ENTITY rdf 'http://www.w3.org/1999/02/22-rdf-syntax-ns#'>
	<!ENTITY rdfs 'http://www.w3.org/2000/01/rdf-schema#'>
	<!ENTITY owl 'http://www.w3.org/2002/07/owl#'>
	<!ENTITY swivt 'http://semantic-mediawiki.org/swivt/1.0#'>
	<!ENTITY wiki 'http://groupprops.subwiki.org/wiki/Special:URIResolver/'>
	<!ENTITY category 'http://groupprops.subwiki.org/wiki/Special:URIResolver/Category-3A'>
	<!ENTITY property 'http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3A'>
	<!ENTITY wikiurl 'https://groupprops.subwiki.org/wiki/'>
]>

<rdf:RDF
	xmlns:rdf="&rdf;"
	xmlns:rdfs="&rdfs;"
	xmlns:owl ="&owl;"
	xmlns:swivt="&swivt;"
	xmlns:wiki="&wiki;"
	xmlns:category="&category;"
	xmlns:property="&property;">

	<owl:Ontology rdf:about="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Permutable_subgroup">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-06-17T13:26:59+00:00</swivt:creationDate>
		<owl:imports rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:Ontology>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_subgroup">
		<rdfs:label>Permutable subgroup</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Permutable_subgroup"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Permutable_subgroup"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable subgroup</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_implies_permutable">
		<rdfs:label>Normal implies permutable</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Normal_implies_permutable"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Normal_implies_permutable"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Proves_property_satisfaction_of rdf:resource="&wiki;Permutable_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Normal implies permutable</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_implies_locally_subnormal">
		<rdfs:label>Permutable implies locally subnormal</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Permutable_implies_locally_subnormal"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Permutable_implies_locally_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Uses_property_satisfaction_of rdf:resource="&wiki;Permutable_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable implies locally subnormal</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_implies_ascendant">
		<rdfs:label>Permutable implies ascendant</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Permutable_implies_ascendant"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Permutable_implies_ascendant"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Uses_property_satisfaction_of rdf:resource="&wiki;Permutable_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable implies ascendant</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_implies_modular">
		<rdfs:label>Permutable implies modular</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Permutable_implies_modular"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Permutable_implies_modular"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Uses_property_satisfaction_of rdf:resource="&wiki;Permutable_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable implies modular</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_subgroup">
		<rdfs:label>Normal subgroup</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Normal_subgroup"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Normal_subgroup"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Stronger_than rdf:resource="&wiki;Permutable_subgroup"/>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Normal subgroup</swivt:wikiPageSortKey>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_implies_locally_subnormal-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Permutable_implies_locally_subnormal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable implies locally subnormal#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_implies_permutable-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Normal_implies_permutable"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Normal implies permutable#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Normal_implies_permutable-23_5bde3caa717f0dac7a21ca78766b3063">
		<swivt:masterPage rdf:resource="&wiki;Normal_implies_permutable"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Normal implies permutable#Permutable subgroup# 5bde3caa717f0dac7a21ca78766b3063</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_implies_ascendant-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Permutable_implies_ascendant"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable implies ascendant#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Left-2Dtransitively_permutable_implies_characteristic-23_5bde3caa717f0dac7a21ca78766b3063">
		<swivt:masterPage rdf:resource="&wiki;Left-2Dtransitively_permutable_implies_characteristic"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Left-transitively permutable implies characteristic#Permutable subgroup# 5bde3caa717f0dac7a21ca78766b3063</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_implies_modular-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Permutable_implies_modular"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable implies modular#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Permutable_not_implies_normal-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Permutable_not_implies_normal"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Permutable not implies normal#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Automorph-2Dpermutable_not_implies_permutable-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Automorph-2Dpermutable_not_implies_permutable"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Automorph-permutable not implies permutable#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<swivt:Subject rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Modular_not_implies_permutable-23_7bb1dbe0d19ae2fb3049bfe20ad80aeb">
		<swivt:masterPage rdf:resource="&wiki;Modular_not_implies_permutable"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Modular not implies permutable#Permutable subgroup;2# 7bb1dbe0d19ae2fb3049bfe20ad80aeb</swivt:wikiPageSortKey>
		<property:Page rdf:resource="&wiki;Permutable_subgroup"/>
	</swivt:Subject>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3AProves_property_satisfaction_of">
		<rdfs:label>Proves property satisfaction of</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3AProves_property_satisfaction_of"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3AProves_property_satisfaction_of"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Proves property satisfaction of</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3AUses_property_satisfaction_of">
		<rdfs:label>Uses property satisfaction of</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3AUses_property_satisfaction_of"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3AUses_property_satisfaction_of"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Uses property satisfaction of</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3AStronger_than">
		<rdfs:label>Stronger than</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3AStronger_than"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3AStronger_than"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Stronger than</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:ObjectProperty rdf:about="http://groupprops.subwiki.org/wiki/Special:URIResolver/Property-3APage">
		<rdfs:label>Page</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://groupprops.subwiki.org/wiki/Special:ExportRDF/Property-3APage"/>
		<swivt:page rdf:resource="https://groupprops.subwiki.org/wiki/Property-3APage"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">132</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Page</swivt:wikiPageSortKey>
	</owl:ObjectProperty>
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#creationDate" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#page" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiNamespace" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageContentLanguage" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageSortKey" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#masterPage" />
	<!-- Created by Semantic MediaWiki, https://www.semantic-mediawiki.org/ -->
</rdf:RDF>