Finite Group Databasebeta

← Group #72314572

Character table — Group #72314572

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11112222224444444444448888888888881616161616161616161616161616161616163232323232323232323232323232323232321111222222444444444444888888888888161616161616161616161616161616161616323232323232323232323232323232323232
order12222222222244444444442222222444442222444444444444444444444444888888882222222222224444444444222222244444222244444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ91111111111-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i1111111111-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111111111-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii1111111111-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1111111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ121111111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1111111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ131111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii1111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ141111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i1111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ151111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111111111-1-1ii−i−i−i−iiiii−i−i−i−iii1111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111111111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ161111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111111111-1-1−i−iiiii−i−i−i−iiiii−i−i1111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111111111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ172222222222222222-2-2-2-2222-20000-2-2-22-2-20000000000000022-2-22-200000000000000002222222222222222-2-2-2-2222-20000-2-2-22-2-20000000000000022-2-22-20000000000000000
χ182222222222222222-2-2-2-2222-20000-2-2-22-2-200000000000000-2-222-2200000000000000002222222222222222-2-2-2-2222-20000-2-2-22-2-200000000000000-2-222-220000000000000000
χ19222222222222-2-2-2-22222-2-22-22222-2-2-2-2222200-2-2-2-20000000000000000000000000000222222222222-2-2-2-22222-2-22-22222-2-2-2-2222200-2-2-2-20000000000000000000000000000
χ20222222222222-2-2-2-22222-2-22-2-2-2-2-2-2-2-2-222-2-20022220000000000000000000000000000222222222222-2-2-2-22222-2-22-2-2-2-2-2-2-2-2-222-2-20022220000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2220000222-2-2-200220000-2-222-2-20000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2220000222-2-2-200220000-2-222-2-20000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2220000222-2-2-200-2-2000022-2-2220000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2220000222-2-2-200-2-2000022-2-2220000000000000000000000
χ232222222222-2-22222-2-2-2-2-2-2-2200002-2-2-2220000000000000022-2-2-2200000000000000002222222222-2-22222-2-2-2-2-2-2-2200002-2-2-2220000000000000022-2-2-220000000000000000
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χ252222222222-2-2-2-2-2-2222222-2222222-2-22-2-2-2-200-2-22200000000000000000000000000002222222222-2-2-2-2-2-2222222-2222222-2-22-2-2-2-200-2-2220000000000000000000000000000
χ262222222222-2-2-2-2-2-2222222-22-2-2-2-22-2-22-2-2220022-2-200000000000000000000000000002222222222-2-2-2-2-2-2222222-22-2-2-2-22-2-22-2-2220022-2-20000000000000000000000000000
χ272222222222-2-2-2-2-2-2-2-2-2-222-2-20000-22222200220000-2-2-2-22200000000000000000000002222222222-2-2-2-2-2-2-2-2-2-222-2-20000-22222200220000-2-2-2-2220000000000000000000000
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χ30222222-2-2-2-22222-2-222-2-222-220000-22-2-2-2200000000000000000000000000000000-22-22222222-2-2-2-22222-2-222-2-222-220000-22-2-2-2200000000000000000000000000000000-22-22
χ31222222-2-2-2-22222-2-2-2-22222-2-200002-22-22-20000000000000000000000002-22-200000000222222-2-2-2-22222-2-2-2-22222-2-200002-22-22-20000000000000000000000002-22-200000000
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χ38222222-2-2-2-2-2-222-2-222-2-2-2-22-2000022-222-200000000000000000000000000000000−2i2i2i−2i222222-2-2-2-2-2-222-2-222-2-2-2-22-2000022-222-200000000000000000000000000000000−2i2i2i−2i
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χ711111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ72111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ73111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ74111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ75111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111
χ76111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ77111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ78111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ791111111111-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iii
χ801111111111-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i
χ811111111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ821111111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ831111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-111111111-1-1−i−iii−i−iiiii−i−iii−i−i
χ841111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-111111111-1-1ii−i−iii−i−i−i−iii−i−iii
χ851111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111111111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ861111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111111111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ872222222222222222-2-2-2-2222-20000-2-2-22-2-20000000000000022-2-22-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-220000222-22200000000000000-2-222-220000000000000000
χ882222222222222222-2-2-2-2222-20000-2-2-22-2-200000000000000-2-222-220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-220000222-2220000000000000022-2-22-20000000000000000
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χ91222222222222-2-2-2-2-2-2-2-2-2-2220000222-2-2-200220000-2-222-2-20000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-20000-2-2-222200-2-2000022-2-2220000000000000000000000
χ92222222222222-2-2-2-2-2-2-2-2-2-2220000222-2-2-200-2-2000022-2-2220000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-20000-2-2-222200220000-2-222-2-20000000000000000000000
χ932222222222-2-22222-2-2-2-2-2-2-2200002-2-2-2220000000000000022-2-2-220000000000000000-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222-20000-2222-2-200000000000000-2-2222-20000000000000000
χ942222222222-2-22222-2-2-2-2-2-2-2200002-2-2-22200000000000000-2-2222-20000000000000000-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222-20000-2222-2-20000000000000022-2-2-220000000000000000
χ952222222222-2-2-2-2-2-2222222-2222222-2-22-2-2-2-200-2-2220000000000000000000000000000-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22-2-2-2-2-2-222-222220022-2-20000000000000000000000000000
χ962222222222-2-2-2-2-2-2222222-22-2-2-2-22-2-22-2-2220022-2-20000000000000000000000000000-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22-22222-222-222-2-200-2-2220000000000000000000000000000
χ972222222222-2-2-2-2-2-2-2-2-2-222-2-20000-22222200220000-2-2-2-2220000000000000000000000-2-2-2-2-2-2-2-2-2-22222222222-2-22200002-2-2-2-2-200-2-200002222-2-20000000000000000000000
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χ99222222-2-2-2-22222-2-222-2-222-220000-22-2-2-22000000000000000000000000000000002-22-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22-200002-2222-200000000000000000000000000000000-22-22
χ100222222-2-2-2-22222-2-222-2-222-220000-22-2-2-2200000000000000000000000000000000-22-22-2-2-2-2-2-22222-2-2-2-222-2-222-2-22-200002-2222-2000000000000000000000000000000002-22-2
χ101222222-2-2-2-22222-2-2-2-22222-2-200002-22-22-20000000000000000000000002-22-200000000-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2220000-22-22-22000000000000000000000000-22-2200000000
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χ103222222-2-2-2-222-2-22222-2-2-2-2-2-200002-222-22000000000000000000002-22-2000000000000-2-2-2-2-2-22222-2-222-2-2-2-22222220000-22-2-22-200000000000000000000-22-22000000000000
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χ105222222-2-2-2-222-2-222-2-222-2-2-220000-22-222-200000000000000000000000000002i−2i2i−2i0000-2-2-2-2-2-22222-2-222-2-222-2-2222-200002-22-2-220000000000000000000000000000−2i2i−2i2i0000
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χ107222222-2-2-2-2-2-222-2-222-2-2-2-22-2000022-222-2000000000000000000000000000000002i−2i−2i2i-2-2-2-2-2-2222222-2-222-2-22222-220000-2-22-2-2200000000000000000000000000000000−2i2i2i−2i
χ108222222-2-2-2-2-2-222-2-222-2-2-2-22-2000022-222-200000000000000000000000000000000−2i2i2i−2i-2-2-2-2-2-2222222-2-222-2-22222-220000-2-22-2-22000000000000000000000000000000002i−2i−2i2i
χ109222222-2-2-2-2-2-222-2-2-2-222-2-2220000-2-222-220000000000000000000000002i−2i−2i2i00000000-2-2-2-2-2-2222222-2-22222-2-222-2-2000022-2-22-2000000000000000000000000−2i2i2i−2i00000000
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χ111222222-2-2-2-2-2-2-2-22222-2-222220000-2-22-22-2000000000000000000002i−2i−2i2i000000000000-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2000022-22-2200000000000000000000−2i2i2i−2i000000000000
χ112222222-2-2-2-2-2-2-2-22222-2-222220000-2-22-22-200000000000000000000−2i2i2i−2i000000000000-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2000022-22-22000000000000000000002i−2i−2i2i000000000000
χ113222222-2-2-2-2-2-2-2-222-2-222222-2000022-2-2-2200000000000000000000000000002-2-220000-2-2-2-2-2-222222222-2-222-2-2-2-2-220000-2-2222-20000000000000000000000000000-222-20000
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χ1224444-4-4-4-444000000-444-40000-4-444000000000000000000000000000000000000000000-4-4-4-44444-4-40000004-4-44000044-4-4000000000000000000000000000000000000000000
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χ12544-4-44-400004-4−4i4i000000−4i4i000000000000002-20000−2i2i2-2−2i2i0000000000000000000000-4-444-440000-444i−4i0000004i−4i00000000000000-2200002i−2i-222i−2i0000000000000000000000
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χ13044-4-44-40000-44−4i4i0000004i−4i00000000000000-2200002i−2i2-2−2i2i0000000000000000000000-4-444-4400004-44i−4i000000−4i4i000000000000002-20000−2i2i-222i−2i0000000000000000000000
χ13188-8-8-88000000008i−8i000000000000000000000000000000000000000000000000000000-8-8888-800000000−8i8i000000000000000000000000000000000000000000000000000000
χ13288-8-8-8800000000−8i8i000000000000000000000000000000000000000000000000000000-8-8888-8000000008i−8i000000000000000000000000000000000000000000000000000000
χ1338-88-800008-800000000000000000000000000000000000000004-4000000000000000000-88-880000-880000000000000000000000000000000000000000-44000000000000000000
χ1348-88-800008-80000000000000000000000000000000000000000-44000000000000000000-88-880000-8800000000000000000000000000000000000000004-4000000000000000000
χ1358-88-80000-88000000000000000000000000000000000000004-400000000000000000000-88-8800008-800000000000000000000000000000000000000-4400000000000000000000
χ1368-88-80000-8800000000000000000000000000000000000000-4400000000000000000000-88-8800008-8000000000000000000000000000000000000004-400000000000000000000
χ1378-8-88008-800000000000000004-44-4000000000000000000000000000000000000000000-888-800-880000000000000000-44-44000000000000000000000000000000000000000000
χ1388-8-88008-80000000000000000-44-44000000000000000000000000000000000000000000-888-800-8800000000000000004-44-4000000000000000000000000000000000000000000
χ1398-8-8800-8800000000000000004-4-44000000000000000000000000000000000000000000-888-8008-80000000000000000-444-4000000000000000000000000000000000000000000
χ1408-8-8800-880000000000000000-444-4000000000000000000000000000000000000000000-888-8008-800000000000000004-4-44000000000000000000000000000000000000000000

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