Finite Group Databasebeta

← Group #72272259

Character table — Group #72272259

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222222222444444444444444444444444448888888888888888888888888888161616161616161616161616161616161616161616161616242424242424242424242424242424244848484848484848
order1222222222222234444444466666662244446666666666661212121212121212222222226666666666666666121212124444888812121212121212122424242424242424222244444444444424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1
χ101111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-111
χ111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1-111
χ121111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1111-1-1
χ131111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-111-111-1-1
χ141111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-11-1-111
χ151111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-1-111
χ161111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-111-111-1-1
χ17222222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000000000000000000000000000022-2-222-2-200000000
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χ1922222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2022222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ2122222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2222222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ232222222-2-2-2-22222-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000000000000000000022-2-2-2-22200000000
χ242222222-2-2-2-22222-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222200000000000000000000000000000000-2-22222-2-200000000
χ252222222-2-2-2-2222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ262222222-2-2-2-2222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ272222222-2-2-2-2222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1111122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
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χ31222222-222-2-2-2-2-22-2-2-2-2222222-2-2-2-222-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000-2-222000000000000000000000000000000000000000022-2-20000
χ32222222-222-2-2-2-2-22-2-2-2-2222222-2-2-2-222-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000-2-2220000000000000000000000000000000000000000-2-2220000
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χ36222222-222-2-2-2-2-2-12222-2-2-2-2-1-11111-12-222-2-2-1-111-1-1-1-11111-1-1-1-1111100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-111−2i2i−2i2i0000ii−i−iii−i−i33−3−333−3−3000000000000000000000000
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χ40222222-2-2-222-2-2-22-2-2-2-2222222-2-2-2-22-2222-2-222-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000022-2-20000000000000000000000000000000000000000-22-220000
χ41222222-2-2-222-2-2-2-12222-2-2-2-2-1-11111-1-22-2-222-1-1111111-1-1-1-1-1-1-1-1111100000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i311-1-12i−2i−2i2i0000−i−iiiii−i−i33−3−3−3−333000000000000000000000000
χ42222222-2-2-222-2-2-2-12222-2-2-2-2-1-11111-1-22-2-222-1-1111111-1-1-1-1-1-1-1-1111100000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i311-1-1−2i2i2i−2i0000ii−i−i−i−iii−3−33333−3−3000000000000000000000000
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χ452222-2-222222-2-22222-2-222-2-222-2-2-2-22-2-22-22-2-2-22222-2-222-2-222-2-2-2-2220000000000000000000000002-22-20000000000000000000000002222-2-2-2-20000000000000000
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χ492222-2-222222-2-22-1-2-222-2-222-1-11111-1-2-2-22-2211-1-1-1-111-1-11111-1-1-1-11122-2-222-2-2-1-111-1-111-1-111-1-1111-11-1000000003−33−33−33−33−33−33−33−3000000000000000000000000
χ502222-2-222222-2-22-1-2-222-2-222-1-11111-1-2-2-22-2211-1-1-1-111-1-11111-1-1-1-11122-2-222-2-2-1-111-1-111-1-111-1-1111-11-100000000−33−33−33−33−33−33−33−33000000000000000000000000
χ512222-2-222222-2-22-1-2-222-2-222-1-11111-1-2-2-22-2211-1-1-1-111-1-11111-1-1-1-111-2-222-2-22211-1-111-1-111-1-111-1-11-11-1000000003−33−33−33−3−33−33−33−33000000000000000000000000
χ522222-2-222222-2-22-1-2-222-2-222-1-11111-1-2-2-22-2211-1-1-1-111-1-11111-1-1-1-111-2-222-2-22211-1-111-1-111-1-111-1-11-11-100000000−33−33−33−333−33−33−33−3000000000000000000000000
χ532222-2-22-2-2-2-2-2-22222-2-222-2-222-2-2-2-2222-22-22-2-222-2-222-2-22222-2-2-2-222000000000000000000000000-22-2200000000000000000000000022-2-2-2-2220000000000000000
χ542222-2-22-2-2-2-2-2-22222-2-222-2-222-2-2-2-2222-22-22-2-222-2-222-2-22222-2-2-2-222000000000000000000000000-22-22000000000000000000000000-2-22222-2-20000000000000000
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χ562222-2-22-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-22-2-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-222-2-22222-2-222-2-22-22-2000000000000000000000000000000000000000000000000
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χ622222-2-2-222-2-222-2222-2-2-2-2222222222-222-2-22-2-2-2-222-2-2-2-22222-2-222-2-20000000000000000000000002-2-2200000000000000000000000000000000000000000000-22-22
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Here i is the imaginary unit (i² = −1).