Finite Group Databasebeta

← Group #11812971

Character table — Group #11812971

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111111112222222222222222444444444444448888888888881212121212121212121212121212121211111111222222222222222244444444444444888888888888121212121212121212121212121212121111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222222223444466666664466661212121212121212244466121212121212224444444444444436666666666631212121266666661212666612121212121212126121212661212121212126612121212121212121212121212123666666666663121212126666666121266661212121212121212612121266121212121212661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ1411111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1111111-1-1-1-1-1-111
χ1511111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1-1-111-1-111-1-11111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1-1-111-1-111-1-11111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1-1-111-1-111-1-111
χ1611111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-11111-1-111-1-111-1-1
χ17222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ18222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ19222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-1-1-111110000000000000000222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-1-1-111110000000000000000222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-1-1-111110000000000000000
χ20222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-21111-1-1-1-10000000000000000222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-21111-1-1-1-10000000000000000222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-21111-1-1-1-10000000000000000
χ2122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-111-1-111000000000000000022222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-111-1-111000000000000000022222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-111-1-1110000000000000000
χ2222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-22211-1-111-1-1000000000000000022222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-22211-1-111-1-1000000000000000022222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-22211-1-111-1-10000000000000000
χ2322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-11111-1-1000000000000000022222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-11111-1-1000000000000000022222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-11111-1-10000000000000000
χ2422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-1-1-111000000000000000022222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-1-1-111000000000000000022222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-1-1-1110000000000000000
χ25222-2-22-2-20000222-2-22-2-22-2-2200000022-2-20000000000000000000000002i−2i00002i−2i222-2-22-2-20000222-2-22-2-22-2-2200000022-2-20000000000000000000000002i−2i00002i−2i222-2-22-2-20000222-2-22-2-22-2-2200000022-2-20000000000000000000000002i−2i00002i−2i
χ26222-2-22-2-20000222-2-22-2-22-2-2200000022-2-2000000000000000000000000−2i2i0000−2i2i222-2-22-2-20000222-2-22-2-22-2-2200000022-2-2000000000000000000000000−2i2i0000−2i2i222-2-22-2-20000222-2-22-2-22-2-2200000022-2-2000000000000000000000000−2i2i0000−2i2i
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χ28222-2-22-2-200002-2-2222-2-22-2-22000000-2-222000000000000000000000000−2i2i00002i−2i222-2-22-2-200002-2-2222-2-22-2-22000000-2-222000000000000000000000000−2i2i00002i−2i222-2-22-2-200002-2-2222-2-22-2-22000000-2-222000000000000000000000000−2i2i00002i−2i
χ2922-22-2-2-22000022i−2i2i−2i22-2-22-2-20000002i−2i2i−2i00000000000000000000002i−2i00002-20022-22-2-2-22000022i−2i2i−2i22-2-22-2-20000002i−2i2i−2i00000000000000000000002i−2i00002-20022-22-2-2-22000022i−2i2i−2i22-2-22-2-20000002i−2i2i−2i00000000000000000000002i−2i00002-200
χ3022-22-2-2-22000022i−2i2i−2i22-2-22-2-20000002i−2i2i−2i0000000000000000000000−2i2i0000-220022-22-2-2-22000022i−2i2i−2i22-2-22-2-20000002i−2i2i−2i0000000000000000000000−2i2i0000-220022-22-2-2-22000022i−2i2i−2i22-2-22-2-20000002i−2i2i−2i0000000000000000000000−2i2i0000-2200
χ3122-22-2-2-2200002−2i2i−2i2i22-2-22-2-2000000−2i2i−2i2i00000000000000000000002i−2i0000-220022-22-2-2-2200002−2i2i−2i2i22-2-22-2-2000000−2i2i−2i2i00000000000000000000002i−2i0000-220022-22-2-2-2200002−2i2i−2i2i22-2-22-2-2000000−2i2i−2i2i00000000000000000000002i−2i0000-2200
χ3222-22-2-2-2200002−2i2i−2i2i22-2-22-2-2000000−2i2i−2i2i0000000000000000000000−2i2i00002-20022-22-2-2-2200002−2i2i−2i2i22-2-22-2-2000000−2i2i−2i2i0000000000000000000000−2i2i00002-20022-22-2-2-2200002−2i2i−2i2i22-2-22-2-2000000−2i2i−2i2i0000000000000000000000−2i2i00002-200
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χ3422-2-22-22-222-2-22−2i2i2i−2i2-22-2-22-2−2i2i22-2-2−2i2i2i−2i−2i−2i2i2i000000000000000000000000000022-2-22-22-222-2-22−2i2i2i−2i2-22-2-22-2−2i2i22-2-2−2i2i2i−2i−2i−2i2i2i000000000000000000000000000022-2-22-22-222-2-22−2i2i2i−2i2-22-2-22-2−2i2i22-2-2−2i2i2i−2i−2i−2i2i2i0000000000000000000000000000
χ3522-2-22-22-222-2-2-12i−2i−2i2i-11-111-112i−2i-1-111−iii−i−i−iii0000−i3i3−i3i33−33−3000000000000000022-2-22-22-222-2-2-12i−2i−2i2i-11-111-112i−2i-1-111−iii−i−i−iii0000−i3i3−i3i33−33−3000000000000000022-2-22-22-222-2-2-12i−2i−2i2i-11-111-112i−2i-1-111−iii−i−i−iii0000−i3i3−i3i33−33−30000000000000000
χ3622-2-22-22-222-2-2-12i−2i−2i2i-11-111-112i−2i-1-111−iii−i−i−iii0000i3−i3i3−i3−33−33000000000000000022-2-22-22-222-2-2-12i−2i−2i2i-11-111-112i−2i-1-111−iii−i−i−iii0000i3−i3i3−i3−33−33000000000000000022-2-22-22-222-2-2-12i−2i−2i2i-11-111-112i−2i-1-111−iii−i−i−iii0000i3−i3i3−i3−33−330000000000000000
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χ3922-2-22-22-2-2-22222i−2i−2i2i2-22-2-22-2−2i2i-2-2222i−2i−2i2i−2i−2i2i2i000000000000000000000000000022-2-22-22-2-2-22222i−2i−2i2i2-22-2-22-2−2i2i-2-2222i−2i−2i2i−2i−2i2i2i000000000000000000000000000022-2-22-22-2-2-22222i−2i−2i2i2-22-2-22-2−2i2i-2-2222i−2i−2i2i−2i−2i2i2i0000000000000000000000000000
χ4022-2-22-22-2-2-2222−2i2i2i−2i2-22-2-22-22i−2i-2-222−2i2i2i−2i2i2i−2i−2i000000000000000000000000000022-2-22-22-2-2-2222−2i2i2i−2i2-22-2-22-22i−2i-2-222−2i2i2i−2i2i2i−2i−2i000000000000000000000000000022-2-22-22-2-2-2222−2i2i2i−2i2-22-2-22-22i−2i-2-222−2i2i2i−2i2i2i−2i−2i0000000000000000000000000000
χ4122-2-22-22-2-2-222-12i−2i−2i2i-11-111-11−2i2i11-1-1−iii−iii−i−i0000−i3i3i3−i33−3−33000000000000000022-2-22-22-2-2-222-12i−2i−2i2i-11-111-11−2i2i11-1-1−iii−iii−i−i0000−i3i3i3−i33−3−33000000000000000022-2-22-22-2-2-222-12i−2i−2i2i-11-111-11−2i2i11-1-1−iii−iii−i−i0000−i3i3i3−i33−3−330000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.