Finite Group Databasebeta

← Group #72310543

Character table — Group #72310543

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size111122222244444444444488888888888888888888888888881616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464646464646464646464
order1222222222222222222222222222222222222222222222224422222224444444444444444444222444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111-1-111111111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-111111111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-111111111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111-1-111111111-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-111-1-11-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-111-1-11-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1111111-111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1111111-111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1-11-1-1-111-1-1-11-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1-11-1-1-111-1-1-11-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ191111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-111-1-1111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-111-1-1111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ211111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111111-11111-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ221111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111111-11111-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1111-1-1111-11-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ241111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1111-1-1111-11-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-11-1-11111-11-11111-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ261111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-11-1-11111-11-11111-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ271111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-11-1-11111-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ281111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-11-1-11111-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ291111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-111-1-1-1-111-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ301111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-111-1-1-1-111-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ311111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-111-1-1-1-11-11-1-1-1-1111-11-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ321111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-111-1-1-1-11-11-1-1-1-1111-11-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ3322222222222222222222222222222222222222222222-2-2-2-222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-22222200-2-20000200-2-2-2-222000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222222222-2-22222-2-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-200220000-2002222-2-2000000000000000000000000000000000000000000000000
χ35222222222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2222-2-2-2-22222-2-222222-2-2-2-2200220000200-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ36222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-22222-200-2-20000-200222222000000000000000000000000000000000000000000000000
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χ482222222222222-2-222-2-2-2-22-2-2-2-2-222222-2-2-2-2-2-20022-2-2-2-2-2-2002222000-2-22222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ492222222222222-2-222-2-2-2-22-2-2-2-2-2222-2-222222200-2-22222220022-2-2000-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ502222222222222-2-222-2-2-2-22-2-2-2-2-2222-2-222222200-2-22222220022-2-2000-2-222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000-222-22-2-22
χ512222222222222-2-222-2-2-2-22-2-2-2-2-2222-2-222222200-2-222-2-2-2-200-2-2-2-200022-2-222-2-222220000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
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χ562222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-220022000020022-2-222000000000000000000000000000000000000000000000000
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χ592222-2-2-2-2222-2-2000022222-2-20000002-22-20000222-22-2-2-222-2-20000-2-22-22-22000000-222-22000002000-2-200020-22002-222-2-200002-2002-20000000000000000000000000000000000
χ602222-2-2-2-2222-2-2000022222-2-20000002-22-20000222-22-2-2-222-2-20000-2-22-22-22000000-222-2200000-200022000-20-22002-2-2-2220000-2200-220000000000000000000000000000000000
χ612222-2-2-2-2222-2-2000022222-2-20000002-22-20000-2-22-22-222-2-22200002-222-22-20000002-2-2-2200000020000-2-2002-2200-22000022-2-200-2200-2200000000000000000000000000000000
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χ632222-2-2-2-2222-2-2000022222-2-20000002-22-20000-2-22-22-2-2-22222000022-2-22-22000000-22-22-2000002000-2-2000202-200-2222-2-20000-2200-220000000000000000000000000000000000
χ642222-2-2-2-2222-2-2000022222-2-20000002-22-20000-2-22-22-2-2-22222000022-2-22-22000000-22-22-200000-200022000-202-200-22-2-22200002-2002-20000000000000000000000000000000000
χ652222-2-2-2-2222-2-2000022222-2-2000000-22-22000022-22-2222-2-2-2-20000-22-2-22-220000002-222-2000002000-2-200020-2200-22-2-22200002-200-220000000000000000000000000000000000
χ662222-2-2-2-2222-2-2000022222-2-2000000-22-22000022-22-2222-2-2-2-20000-22-2-22-220000002-222-200000-200022000-20-2200-2222-2-20000-22002-20000000000000000000000000000000000
χ672222-2-2-2-2222-2-2000022222-2-2000000-22-22000022-22-22-2-222-2-20000-2-222-22-2000000-222-2200000020000-2-20022-200-220000-2-222002-200-2200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).