Finite Group Databasebeta

← Group #72262263

Character table — Group #72262263

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size112224444444444448888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323264646464646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222244222222222222222444444444444444444444444422444444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ711111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ91111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ121111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-11-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-11-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-1111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-1111111-1-1-1-111-1-11111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-1111111-1-1-1-111-1-11111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-11111-1-11111-1-111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-11111-1-11111-1-111-1-1-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ22111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ23111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ24111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ25111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ26111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ27111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ28111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ29111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-11111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ30111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-11111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ31111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222222222222222222222222222-2-2-2-22222222222-2-2222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-2-2-222220000-2-2-2-2-2-20000000000000000000000000000000000000000
χ3422222222222222222222222222-2-22222-2-222222222-2-2-2-2-222-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2220000000000000000000000000000000000000000
χ352222222222222222222222-2-2-2-22222222222-2-2-2-2-2-222222-2-222222-2-222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-222-2-20000000000000000000000000000000000000000
χ362222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-2-22222-2-2-222-2-2-2-2-2-22222-2-2-2-222220000-2-222220000000000000000000000000000000000000000
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χ38222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-222-2-222-222-2-2-2-2-2-2-2-2-2-2-2-222222222000022-2-2220000000000000000000000000000000000000000
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χ40222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-222-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-200002222220000000000000000000000000000000000000000
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χ9244444-4-4-4-44444-4-4-4-440000000000-4-4440000000000000000000000004-4-444-4000000004-4-4400000000000000000000000000000000000000000000000000
χ93888-8-800000000008-80000044-4-40000008-8004-40000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000
χ94888-8-800000000008-80000044-4-4000000-88004-4000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000
χ95888-8-800000000008-800000-4-4440000008-800-44000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000
χ96888-8-800000000008-800000-4-444000000-8800-440000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000
χ97888-8-80000000000-880000044-4-48-800000000-440000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000
χ98888-8-80000000000-880000044-4-4-8800000000-44000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000
χ99888-8-80000000000-8800000-4-4448-8000000004-4000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000
χ100888-8-80000000000-8800000-4-444-88000000004-40000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000
χ10188-88-80000008-80000044-4-4000000008-8004-40000000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000
χ10288-88-80000008-80000044-4-400000000-88004-4000000000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000
χ10388-88-80000008-800000-4-444000000008-800-44000000000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000
χ10488-88-80000008-800000-4-44400000000-8800-440000000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000
χ10588-88-8000000-880000044-4-40000008-80000-440000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ10688-88-8000000-880000044-4-4000000-880000-44000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ10788-88-8000000-8800000-4-4440000008-800004-4000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ10888-88-8000000-8800000-4-444000000-8800004-40000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ10988-8-888-8008-8008-800000000000000000000000000000000000000000000000000000000000040-4000000004-4000000000000000000000000000000000000
χ11088-8-888-8008-8008-8000000000000000000000000000000000000000000000000000000000000-40400000000-44000000000000000000000000000000000000
χ11188-8-888-800-8800-880000000000000000000000000000000000000000000000000000000000040-400000004-400000000000000000000000000000000000000
χ11288-8-888-800-8800-8800000000000000000000000000000000000000000000000000000000000-4040000000-4400000000000000000000000000000000000000
χ11388-8-88-88008-800-880000000000000000000000000000000000000000000000000000000000040-40000000-4400000000000000000000000000000000000000
χ11488-8-88-88008-800-8800000000000000000000000000000000000000000000000000000000000-40400000004-400000000000000000000000000000000000000
χ11588-8-88-8800-88008-800000000000000000000000000000000000000000000000000000000000040-400000000-44000000000000000000000000000000000000
χ11688-8-88-8800-88008-8000000000000000000000000000000000000000000000000000000000000-404000000004-4000000000000000000000000000000000000
χ11716-16000008-8000000000008-8008-80000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-16000008-8000000000008-800-88000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11916-16000008-800000000000-88008-8000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12016-16000008-800000000000-8800-880000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12116-1600000-880000000008-8008-8000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12216-1600000-880000000008-800-8800000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12316-1600000-88000000000-88008-800000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12416-1600000-88000000000-8800-88000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).