<informationTable xmlns="http://www.sec.gov/edgar/document/thirteenf/informationtable">		<infoTable>
			<nameOfIssuer>CHARTER COMMUNICATION</nameOfIssuer>
			<titleOfClass>CL A</titleOfClass>
			<cusip>16117M305</cusip>
			<value>1290149</value>
			<shrsOrPrnAmt>
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				<None>0</None>
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			<nameOfIssuer>CHARTER COMMUNICATION</nameOfIssuer>
			<titleOfClass>CL A</titleOfClass>
			<cusip>16117M305</cusip>
			<value>82579</value>
			<shrsOrPrnAmt>
				<sshPrnamt>521400</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<otherManager>2</otherManager>
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				<Sole>521400</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>CROWN CASTLE INTL CORP</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>228227104</cusip>
			<value>750208</value>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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				<Sole>10102449</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>CROWN CASTLE INTL CORP</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>228227104</cusip>
			<value>48380</value>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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				<Sole>651500</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>EQUINIX, INC.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>29444U502</cusip>
			<value>1083308</value>
			<shrsOrPrnAmt>
				<sshPrnamt>5156400</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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				<Sole>5156400</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>EQUINIX, INC.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>29444U502</cusip>
			<value>69435</value>
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				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>LIBERTY GLOBAL PLC</nameOfIssuer>
			<titleOfClass>CL A</titleOfClass>
			<cusip>G5480U104</cusip>
			<value>12773</value>
			<shrsOrPrnAmt>
				<sshPrnamt>288859</sshPrnamt>
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		<infoTable>
			<nameOfIssuer>LIBERTY GLOBAL PLC</nameOfIssuer>
			<titleOfClass>CL C</titleOfClass>
			<cusip>G5480U120</cusip>
			<value>830482</value>
			<shrsOrPrnAmt>
				<sshPrnamt>19628514</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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			<nameOfIssuer>LIBERTY GLOBAL PLC</nameOfIssuer>
			<titleOfClass>CL C</titleOfClass>
			<cusip>G5480U120</cusip>
			<value>39419</value>
			<shrsOrPrnAmt>
				<sshPrnamt>931675</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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			<nameOfIssuer>PIONEER NAT RES CO</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>723787107</cusip>
			<value>1085953</value>
			<shrsOrPrnAmt>
				<sshPrnamt>4725439</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
			<votingAuthority>
				<Sole>4725439</Sole>
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				<None>0</None>
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			<nameOfIssuer>PIONEER NAT RES CO</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>723787107</cusip>
			<value>70402</value>
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				<sshPrnamt>306350</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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				<Sole>306350</Sole>
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				<None>0</None>
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			<nameOfIssuer>PROGRESSIVE WASTE SOLUTIONS LTD.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>74339G101</cusip>
			<value>121602</value>
			<shrsOrPrnAmt>
				<sshPrnamt>4737140</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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				<Sole>4737140</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>PROGRESSIVE WASTE SOLUTIONS LTD.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>74339G101</cusip>
			<value>4721</value>
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				<sshPrnamt>183900</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
			<votingAuthority>
				<Sole>183900</Sole>
				<Shared>0</Shared>
				<None>0</None>
			</votingAuthority>
		</infoTable>
		<infoTable>
			<nameOfIssuer>QUALCOMM INC</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>747525103</cusip>
			<value>473925</value>
			<shrsOrPrnAmt>
				<sshPrnamt>5983900</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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				<Sole>5983900</Sole>
				<Shared>0</Shared>
				<None>0</None>
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		<infoTable>
			<nameOfIssuer>QUALCOMM INC</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>747525103</cusip>
			<value>30286</value>
			<shrsOrPrnAmt>
				<sshPrnamt>382400</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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				<Sole>382400</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>QUICKSILVER RESOURCES INC</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>74837R104</cusip>
			<value>26897</value>
			<shrsOrPrnAmt>
				<sshPrnamt>10073754</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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				<Sole>10073754</Sole>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>QUICKSILVER RESOURCES INC</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>74837R104</cusip>
			<value>1927</value>
			<shrsOrPrnAmt>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
			<votingAuthority>
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				<None>0</None>
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		<infoTable>
			<nameOfIssuer>SCHWAB CHARLES CORP.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>808513105</cusip>
			<value>1097424</value>
			<shrsOrPrnAmt>
				<sshPrnamt>40750987</sshPrnamt>
				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>1</otherManager>
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				<Sole>40750987</Sole>
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		<infoTable>
			<nameOfIssuer>SCHWAB CHARLES CORP.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>808513105</cusip>
			<value>51315</value>
			<shrsOrPrnAmt>
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				<sshPrnamtType>SH</sshPrnamtType>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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			<nameOfIssuer>VISA, INC.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>92826C839</cusip>
			<value>233023</value>
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		<infoTable>
			<nameOfIssuer>VISA, INC.</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>92826C839</cusip>
			<value>14960</value>
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			<investmentDiscretion>DFND</investmentDiscretion>
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				<Sole>71000</Sole>
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				<None>0</None>
			</votingAuthority>
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			<nameOfIssuer>RESOLUTE ENERGY CORP</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>76116A108</cusip>
			<value>142025</value>
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			<nameOfIssuer>RESOLUTE ENERGY CORP</nameOfIssuer>
			<titleOfClass>COM</titleOfClass>
			<cusip>76116A108</cusip>
			<value>5822</value>
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			<investmentDiscretion>DFND</investmentDiscretion>
			<otherManager>2</otherManager>
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		<infoTable>
			<nameOfIssuer>RESOLUTE ENERGY CORP</nameOfIssuer>
			<titleOfClass>WARRANTS</titleOfClass>
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			<value>245</value>
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		<infoTable>
			<nameOfIssuer>RESOLUTE ENERGY CORP</nameOfIssuer>
			<titleOfClass>WARRANTS</titleOfClass>
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			<value>8</value>
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			<investmentDiscretion>DFND</investmentDiscretion>
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				<Sole>279753</Sole>
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</informationTable>
