Finite Group Databasebeta

← Group #72338765

Character table — Group #72338765

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size11222444444444444888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232646464646464646464646464128128128128128128128128128128128128128128128128
order1222222222222222222222222222224444222222222222222222224444444444444444444444444444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ91111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ101111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ121111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ131111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ141111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ151111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-111-1-111-1-111111-111-1-111-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-11-11-11-11-11-11-11-1
χ18111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-111-1-111-1-111111-111-1-111-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11-11-11-11-11-11-11
χ19111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-111-1-111-1-1-1-1-1-11-111-1-111-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111i−ii−i−ii−iii−ii−i−ii−ii
χ20111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-111-1-111-1-1-1-1-1-11-111-1-111-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111−ii−iii−ii−i−ii−iii−ii−i
χ21111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-1-1-111-1-11111111-1-1-111-1-11111-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-111-1-111-1-11
χ22111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-1-1-111-1-11111111-1-1-111-1-11111-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-111-1-111-1-111-1-111-1
χ23111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-11111-1-1111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ24111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-11111-1-1111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ25111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-11111111-111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-11-11-11-1-11-11-11-11
χ26111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-11111111-111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-11-11-11-111-11-11-11-1
χ27111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-111-1-1-1-11-111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ28111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-111-1-1-1-11-111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ29111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111-1-11111-1-111111-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-1-111-1-11-111-1-111-1
χ30111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111-1-11111-1-111111-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-111-11-1-111-1-11
χ31111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ32111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ332222222222222222222222222000020000-2-20000002-22-200002222-2-22-22-20000-2-2-2-200000022-2-222-2-20000000022-2-2-2-200002-22-200000000000000000000
χ342222222222222222222222222000020000-2-20000002-22-20000-2-2-2-2-2-22-22-20000-2-2-2-200000022-2-222-2-200000000-2-222220000-22-2200000000000000000000
χ352222222222222222222222222000020000-2-2000000-22-2200002222-2-2-22-220000-2-2-2-2000000-2-222-2-2220000000022-2-2-2-20000-22-2200000000000000000000
χ362222222222222222222222222000020000-2-2000000-22-220000-2-2-2-2-2-2-22-220000-2-2-2-2000000-2-222-2-22200000000-2-2222200002-22-200000000000000000000
χ37222222222-2-2-2-2222222-2-2-2-2-2-2000020000-220000002-2-2200002222-222-2-220000-2-22200000022-2-2-2-22200000000-2-222-2-200002-2-2200000000000000000000
χ38222222222-2-2-2-2222222-2-2-2-2-2-2000020000-220000002-2-220000-2-2-2-2-222-2-220000-2-22200000022-2-2-2-2220000000022-2-2220000-222-200000000000000000000
χ39222222222-2-2-2-2222222-2-2-2-2-2-2000020000-22000000-222-200002222-22-222-20000-2-222000000-2-22222-2-200000000-2-222-2-20000-222-200000000000000000000
χ40222222222-2-2-2-2222222-2-2-2-2-2-2000020000-22000000-222-20000-2-2-2-2-22-222-20000-2-222000000-2-22222-2-20000000022-2-22200002-2-2200000000000000000000
χ4122222-2-2-2-222222222-2-222-2-2-2-2000020000-2-200000000002-22-222-2-2-2-200002-22-222220000000000000022-2-222-2-22-22-22-2000000002-22-20000000000000000
χ4222222-2-2-2-222222222-2-222-2-2-2-2000020000-2-200000000002-22-2-2-222-2-200002-22-222220000000000000022-2-222-2-2-22-22-2200000000-22-220000000000000000
χ4322222-2-2-2-222222222-2-222-2-2-2-2000020000-2-20000000000-22-2222-2-2-2-20000-22-22222200000000000000-2-222-2-2222-22-22-200000000-22-220000000000000000
χ4422222-2-2-2-222222222-2-222-2-2-2-2000020000-2-20000000000-22-22-2-222-2-20000-22-22222200000000000000-2-222-2-222-22-22-22000000002-22-20000000000000000
χ4522222-2-2-2-222222222-2-222-2-2-2-222222-2-2-2-2222-2-22-2-20000000022-2-22200000000-2-2-2-222-222-200000000000000002-2-22-222-22-2000000000000000000000000
χ4622222-2-2-2-222222222-2-222-2-2-2-222222-2-2-2-2222-2-22-2-200000000-2-2222200000000-2-2-2-222-222-20000000000000000-222-22-2-22-22000000000000000000000000
χ4722222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-22222222-222-2220000000022-2-22200000000-2-2-2-2-2-22-2-2200000000000000002-2-22-22-22-22000000000000000000000000
χ4822222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-22222222-222-22200000000-2-2222200000000-2-2-2-2-2-22-2-220000000000000000-222-22-22-22-2000000000000000000000000
χ4922222-2-2-2-2-2-2-2-22222-2-2-2-22222000020000-2200000000002-2-2222-2-2-2200002-2-2222-2-20000000000000022-2-2-2-222-22-222-2000000002-2-220000000000000000
χ5022222-2-2-2-2-2-2-2-22222-2-2-2-22222000020000-2200000000002-2-22-2-222-2200002-2-2222-2-20000000000000022-2-2-2-2222-22-2-2200000000-222-20000000000000000
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χ5422222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-22-2-2222-22-2-2-22200000000-2-2222-200000000-2-22222-2-2-2200000000000000002-2-222-2-222-2000000000000000000000000
χ5522222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222222-2-22-2-2222-2-20000000022-2-22-200000000-2-222-2-2222-20000000000000000-222-2-22-222-2000000000000000000000000
χ5622222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222222-2-22-2-2222-2-200000000-2-2222-200000000-2-222-2-2222-200000000000000002-2-222-22-2-22000000000000000000000000
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Here i is the imaginary unit (i² = −1).