Finite Group Databasebeta

← Group #72256444

Character table — Group #72256444

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size11112222224444444444444444888888888888888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464646464646464646464646464
order1222222222222222224444444422222222224444444444442222222244444444444444442244444444444444444444444444888888888888888844444444444444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1111111111-11-111-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1
χ10111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1111111111-11-111-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-1
χ11111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-111111111-11-11-1-1111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-1-1-11111
χ12111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-111111111-11-11-1-1111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-1-1-11111
χ13111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1iiii−i−i−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-11111
χ14111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1−i−i−i−iiiii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-11111
χ15111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-11111−i−i−i−iiiii−i−iii−i−i−i−iiiiiiiii−i−i−i−iii−i−i1111-1-1-1-1
χ16111111111111-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-11111iiii−i−i−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii1111-1-1-1-1
χ171111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-111-1-111-1-111-1-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1ii−i−iii−i−i
χ181111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111-1-111iiii−i−i−i−i11-1-111-1-1-1-111-1-111-11-11−i−iii−i−iii−i−iii−i−iii-11-11ii−i−iii−i−i
χ191111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i11-1-111-1-1iiii−i−i−i−i-1-111-1-111-1-111-1-111-11-11ii−i−iii−i−i−i−iii−i−iii1-11-1−i−iii−i−iii
χ201111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i-1-111-1-111iiii−i−i−i−i-1-111-1-11111-1-111-1-11-11-1−i−iii−i−iiiii−i−iii−i−i-11-11−i−iii−i−iii
χ211111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-111-1-1−i−i−i−iiiii11-1-111-1-111-1-111-1-11-11-1−i−iii−i−iii−i−iii−i−iii1-11-1−i−iii−i−iii
χ221111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111-1-111−i−i−i−iiiii11-1-111-1-1-1-111-1-111-11-11ii−i−iii−i−iii−i−iii−i−i-11-11−i−iii−i−iii
χ231111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1−i−i−i−iiiii-1-1-1-11111−i−iii11-1-111-1-1−i−i−i−iiiii-1-111-1-111-1-111-1-111-11-11−i−iii−i−iiiii−i−iii−i−i1-11-1ii−i−iii−i−i
χ241111111111-1-11-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1−i−i−i−iiiii-1-1-1-11111−i−iii-1-111-1-111−i−i−i−iiiii-1-111-1-11111-1-111-1-11-11-1ii−i−iii−i−i−i−iii−i−iii-11-11ii−i−iii−i−i
χ251111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i1-11-1-1-111ii−i−iii−i−i−i−iii−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iiii−i−ii-1-11111-1-1-1-11111-1-1i−i−iiii−i−i−i−iii
χ261111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i1-11-1-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−iii−i11-1-1-1-11111-1-1-1-111−iii−iii−i−i−i−iii
χ271111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i-11-1111-1-1ii−i−iii−i−i−i−iii−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i−iii−i-1-11111-1-111-1-1-1-111i−i−ii−i−iiiii−i−i
χ281111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i-11-1111-1-1ii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiii−i−ii11-1-1-1-111-1-11111-1-1−iii−i−i−iiiii−i−i
χ291111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii1-11-1-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiii−i−ii11-1-1-1-11111-1-1-1-111i−i−ii−i−iiiii−i−i
χ301111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii1-11-1-1-111−i−iii−i−iiiii−i−iiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i−iii−i-1-11111-1-1-1-11111-1-1−iii−i−i−iiiii−i−i
χ311111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii-11-1111-1-1−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−iii−i11-1-1-1-111-1-11111-1-1i−i−iiii−i−i−i−iii
χ321111111111-1-1-1-1-1-1-1-1111-1-1-11-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii-11-1111-1-1−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iiii−i−ii-1-11111-1-111-1-1-1-111−iii−iii−i−i−i−iii
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χ34222222222222222222222222222222-2-222-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000222200000000
χ352222222222222222222222222222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000000000000000000000000022222222-2-2-2-20000000000000000000000000000
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χ372222222222222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000002222222200000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
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χ41222222222222-22-2-2-22222-2-2-22-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222000000000000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i0000000000000000000000000000
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χ43222222222222-22-2-2-22222-2-2-22-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-22222000000000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000−2i−2i2i2i00000000
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χ522222222222-2-2-2-2-2-2-2-2222-2-2-22-22222-2-222-2-2-2-222-2-2-2-2222222-2-2-2-222-2-22222-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ532222222222-2-2-2-2-2-2-2-2222-2-2-22-222-2-222-2-222-2-222-2-2-2-22222-2-22222-2-222-2-222-2-2000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i2i2i−2i0000000000000000000000000000
χ542222222222-2-2-2-2-2-2-2-2222-2-2-22-222-2-222-2-222-2-222-2-2-2-22222-2-22222-2-222-2-222-2-200000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i0000000000000000000000000000
χ552222222222-2-2-2-2-2-2-2-2222-2-2-22-222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-222-2-222000000002-22-2-2-22200000000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ562222222222-2-2-2-2-2-2-2-2222-2-2-22-222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-222-2-22200000000-22-2222-2-20000000000000000000022-2-2-2-2220000000000000000000000000000000000000000
χ572-2-2222-2-2-22222-2-2-22-22-2-2-2222-22-22222-2-2-2-22-22-222-2-2-2-2222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ582-2-2222-2-2-22222-2-2-22-22-2-2-2222-22-22222-2-2-2-22-22-222-2-2-2-2222-22-22-22-22-22-22-22-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ592-2-2222-2-2-22222-2-2-22-22-2-2-2222-22-222-2-2-2-2222-22-2-2-22222-2-22-22-22-2-22-22-22-22-222i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ602-2-2222-2-2-22222-2-2-22-22-2-2-2222-22-222-2-2-2-2222-22-2-2-22222-2-22-22-22-2-22-22-22-22-22−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ612-2-2222-2-2-22222-2-2-22-22-2-2-2222-22-2-2-22222-2-22-22-2-2-22222-2-2-22-22-222-22-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ622-2-2222-2-2-22222-2-2-22-22-2-2-2222-22-2-2-22222-2-22-22-2-2-22222-2-2-22-22-222-22-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
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Here i is the imaginary unit (i² = −1).