Finite Group Databasebeta

← Group #11785338

Character table — Group #11785338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444466666666666666668888888888882424242411111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order1222222234444666666688888888121212122424242424242424222244448888888844441212121212121212444436666666312121212666666624242424242424241212121224242424242424246666121212122424242424242424121212121212121212121212121212123666666631212121266666662424242424242424121212122424242424242424666612121212242424242424242412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ10111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ11111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ12111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ13111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ14111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ15111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ16111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii111-1-11-1-111-1-1111-1-11-1-1-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ17222222222-2-2-2-2222222200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ18222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ1922222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ23222-2-22-2-22-222-222-2-22-2-200000000-222-20000000022-2-2-2-222000000000000000000000000222-2-22-2-22-222-222-2-22-2-200000000-222-20000000022-2-2-2-222000000000000000000000000222-2-22-2-22-222-222-2-22-2-200000000-222-20000000022-2-2-2-222000000000000000000000000
χ24222-2-22-2-22-222-222-2-22-2-200000000-222-200000000-2-22222-2-2000000000000000000000000222-2-22-2-22-222-222-2-22-2-200000000-222-200000000-2-22222-2-2000000000000000000000000222-2-22-2-22-222-222-2-22-2-200000000-222-200000000-2-22222-2-2000000000000000000000000
χ25222-2-22-2-2-12-2-22-1-111-1112222-2-2-2-2-111-1-1-1-1-1111100000000000000002i−2i2i−2i−i−iii−i−iii0000222-2-22-2-2-12-2-22-1-111-1112222-2-2-2-2-111-1-1-1-1-1111100000000000000002i−2i2i−2i−i−iii−i−iii0000222-2-22-2-2-12-2-22-1-111-1112222-2-2-2-2-111-1-1-1-1-1111100000000000000002i−2i2i−2i−i−iii−i−iii0000
χ26222-2-22-2-2-12-2-22-1-111-1112222-2-2-2-2-111-1-1-1-1-111110000000000000000−2i2i−2i2iii−i−iii−i−i0000222-2-22-2-2-12-2-22-1-111-1112222-2-2-2-2-111-1-1-1-1-111110000000000000000−2i2i−2i2iii−i−iii−i−i0000222-2-22-2-2-12-2-22-1-111-1112222-2-2-2-2-111-1-1-1-1-111110000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ27222-2-22-2-2-12-2-22-1-111-111-2-2-2-22222-111-11111-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000222-2-22-2-2-12-2-22-1-111-111-2-2-2-22222-111-11111-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000222-2-22-2-2-12-2-22-1-111-111-2-2-2-22222-111-11111-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ28222-2-22-2-2-12-2-22-1-111-111-2-2-2-22222-111-11111-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000222-2-22-2-2-12-2-22-1-111-111-2-2-2-22222-111-11111-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000222-2-22-2-2-12-2-22-1-111-111-2-2-2-22222-111-11111-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ2922-22-2-22-2200002-22-2-22-2−i2−i2i2i2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i22−2−222−2−2000000000000000022-22-2-22-2200002-22-2-22-2−i2−i2i2i2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i22−2−222−2−2000000000000000022-22-2-22-2200002-22-2-22-2−i2−i2i2i2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i22−2−222−2−20000000000000000
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χ3122-22-2-22-2200002-22-2-22-2i2i2−i2−i2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i−2−222−2−222000000000000000022-22-2-22-2200002-22-2-22-2i2i2−i2−i2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i−2−222−2−222000000000000000022-22-2-22-2200002-22-2-22-2i2i2−i2−i2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i−2−222−2−2220000000000000000
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χ3322-2-22-2-22200002-2-22-2-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i200002i−2i−2i2i22−2−2−2−222000000000000000022-2-22-2-22200002-2-22-2-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i200002i−2i−2i2i22−2−2−2−222000000000000000022-2-22-2-22200002-2-22-2-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i200002i−2i−2i2i22−2−2−2−2220000000000000000
χ3422-2-22-2-22200002-2-22-2-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i20000−2i2i2i−2i−2−22222−2−2000000000000000022-2-22-2-22200002-2-22-2-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i20000−2i2i2i−2i−2−22222−2−2000000000000000022-2-22-2-22200002-2-22-2-22−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i20000−2i2i2i−2i−2−22222−2−20000000000000000
χ3522-2-22-2-22200002-2-22-2-22i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i200002i−2i−2i2i−2−22222−2−2000000000000000022-2-22-2-22200002-2-22-2-22i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i200002i−2i−2i2i−2−22222−2−2000000000000000022-2-22-2-22200002-2-22-2-22i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i200002i−2i−2i2i−2−22222−2−20000000000000000
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χ154111-1-11-1-111-1-1111-1-11-1-11111-1-1-1-11-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14
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χ2022-2-2-2-2222-1-22-2211-1-1-1112-2-22-222-21-11-1-111-11-1-1100000000000000000000−333−3−333−30000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i3200000000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i3200000000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ2032-2-2-2-2222-1-22-2211-1-1-111-222-22-2-221-11-11-1-11-111-1000000000000000000003−3−33−333−30000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32000000000000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200000000000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ2042-2-2-2-2222-1-22-2211-1-1-111-222-22-2-221-11-11-1-11-111-100000000000000000000−333−33−3−330000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i3200000000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i3200000000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000
χ20544444444-2-4-4-4-4-2-2-2-2-2-2-20000000022220000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i31+i31+i31+i31+i300000000−1−i3−1−i3−1−i3−1−i30000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i31−i31−i31−i31−i300000000−1+i3−1+i3−1+i3−1+i30000000000000000000000000000000000000000
χ206444-4-44-4-4-2-444-4-2-222-222000000002-2-220000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i31+i32+2i3−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i300000000−1−i31+i31+i3−1−i30000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i31−i32−2i3−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i300000000−1+i31−i31−i3−1+i30000000000000000000000000000000000000000
χ20744-44-4-44-4-20000-22-222-22−2i2−2i22i22i2−2i2−2i22i22i20000i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i31+i300001+i3−1−i31+i3−1−i3−1−i31+i3−1−i32ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ130000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i31−i300001−i3−1+i31−i3−1+i3−1+i31−i3−1+i32ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ230000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000000000000000000000000000
χ20844-44-4-44-4-20000-22-222-222i22i2−2i2−2i22i22i2−2i2−2i20000−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i31+i300001+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ130000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i31−i300001−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ230000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000000000000000000000000000
χ20944-4-44-4-44-20000-222-222-2−2i2−2i22i22i22i22i2−2i2−2i20000i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i31+i300001+i3−1−i3−1−i31+i3−1−i3−1−i31+i32ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ130000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i31−i300001−i3−1+i3−1+i31−i3−1+i3−1+i31−i32ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ230000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000000000000000000000000000
χ21044-4-44-4-44-20000-222-222-22i22i2−2i2−2i2−2i2−2i22i22i20000−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i31+i300001+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ130000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i31−i300001−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ230000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000000000000000000000000000
χ2114-444-4-4-44-200002-22-22-22−2i22i2−2i22i2−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i30000−1−i31+i3−1−i31+i3−1−i31+i3−1−i32ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ130000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i32ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ230000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000000000000000000000000000
χ2124-444-4-4-44-200002-22-22-222i2−2i22i2−2i22i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i30000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ130000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ230000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000000000000000000000000000
χ2134-44-44-44-4-200002-2-2222-2−2i22i2−2i22i22i2−2i22i2−2i20000i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i30000−1−i31+i31+i3−1−i3−1−i3−1−i31+i32ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ130000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i30000−1+i31−i31−i3−1+i3−1+i3−1+i31−i32ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ230000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000000000000000000000000000
χ2144-44-44-44-4-200002-2-2222-22i2−2i22i2−2i2−2i22i2−2i22i20000−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i30000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ130000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i30000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ230000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000000000000000000000000000
χ2154-4-4444-4-4-244-4-42222-2-2-200000000-2-2220000000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−2−2i3−2−2i32+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3000000001+i31+i3−1−i3−1−i30000000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−2+2i3−2+2i32−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3000000001−i31−i3−1+i3−1+i30000000000000000000000000000000000000000
χ2164-4-4-4-4444-24-44-422-2-2-22200000000-22-220000000000000000000000000000000000000000−2−2i32+2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i31+i3−2−2i32+2i3−2−2i32+2i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3000000001+i3−1−i31+i3−1−i30000000000000000000000000000000000000000−2+2i32−2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i31−i3−2+2i32−2i3−2+2i32−2i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3000000001−i3−1+i31−i3−1+i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.