Finite Group Databasebeta

← Group #11788377

Character table — Group #11788377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222222244444444448888888888888888121212121212121224242424112222222222244444444448888888888888888121212121212121224242424112222222222244444444448888888888888888121212121212121224242424
order12222344446662244661212121244668812121212121224242424888888884488366663121212126666612126612121212121266242412121212121224242424242424242424242412122424366663121212126666612126612121212121266242412121212121224242424242424242424242412122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ10111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii
χ11111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ12111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111−i−iii−i−iiii−ii−i111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111−i−iii−i−iiii−ii−i111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111−i−iii−i−iiii−ii−i
χ13111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111ii−i−i−i−iiii−i−ii111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111ii−i−i−i−iiii−i−ii111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111ii−i−i−i−iiii−i−ii
χ14111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111−i−iiiii−i−i−iii−i111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111−i−iiiii−i−i−iii−i111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111−i−iiiii−i−i−iii−i
χ15111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1ii−i−i−i−iii−iii−i111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1ii−i−i−i−iii−iii−i111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1ii−i−i−i−iii−iii−i
χ16111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1−i−iiiii−i−ii−i−ii111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1−i−iiiii−i−ii−i−ii111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-2-2-2222000022-2-2-2-2000000000000000000002i−2i2i−2i0000222222-2-2-2-2222000022-2-2-2-2000000000000000000002i−2i2i−2i0000222222-2-2-2-2222000022-2-2-2-2000000000000000000002i−2i2i−2i0000
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χ2022222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-1-2-2-1-11111111100000000000022222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-1-2-2-1-11111111100000000000022222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-1-2-2-1-111111111000000000000
χ2122222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-1111100000000000022222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-1111100000000000022222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-11111000000000000
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χ23222-2-22-2-2222220000-2-2-222-2000000000000000000002-2-220000222-2-22-2-2222220000-2-2-222-2000000000000000000002-2-220000222-2-22-2-2222220000-2-2-222-2000000000000000000002-2-220000
χ24222-2-22-2-2222220000-2-2-222-200000000000000000000-222-20000222-2-22-2-2222220000-2-2-222-200000000000000000000-222-20000222-2-22-2-2222220000-2-2-222-200000000000000000000-222-20000
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χ27222-2-2-122-2-2-1-1-1-2-22211-111-12-211-22-1-1-1-11111-1-1000000000000222-2-2-122-2-2-1-1-1-2-22211-111-12-211-22-1-1-1-11111-1-1000000000000222-2-2-122-2-2-1-1-1-2-22211-111-12-211-22-1-1-1-11111-1-1000000000000
χ28222-2-2-122-2-2-1-1-1-2-22211-111-1-22112-2-1-111-1-1-1-111000000000000222-2-2-122-2-2-1-1-1-2-22211-111-1-22112-2-1-111-1-1-1-111000000000000222-2-2-122-2-2-1-1-1-2-22211-111-1-22112-2-1-111-1-1-1-111000000000000
χ2922-22-222-22-2-2-2200002-222-2-200000000000000002i−2i2i−2i0000000022-22-222-22-2-2-2200002-222-2-200000000000000002i−2i2i−2i0000000022-22-222-22-2-2-2200002-222-2-200000000000000002i−2i2i−2i00000000
χ3022-22-222-22-2-2-2200002-222-2-20000000000000000−2i2i−2i2i0000000022-22-222-22-2-2-2200002-222-2-20000000000000000−2i2i−2i2i0000000022-22-222-22-2-2-2200002-222-2-20000000000000000−2i2i−2i2i00000000
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χ3522-22-2-1-22-2211-1-22-22-1111-1-1001-1001-1−i3i3−i3i3i3−i3i3−i300000000000022-22-2-1-22-2211-1-22-22-1111-1-1001-1001-1−i3i3−i3i3i3−i3i3−i300000000000022-22-2-1-22-2211-1-22-22-1111-1-1001-1001-1−i3i3−i3i3i3−i3i3−i3000000000000
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χ52111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ53111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ5411111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ5511111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ561111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ571111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ581111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ591111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ60111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ61111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11ζ11
χ62111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ63111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111−i−iii−i−iiii−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11ζ11−ζ11
χ64111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111ii−i−i−i−iiii−i−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11
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χ67111-1-1111-1-1111-1-111-1-11-1-11-11-1-11-111-1-11111-1-1−i−iiiii−i−ii−i−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11
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χ10611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1071111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ1081111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1091111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ1101111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ111111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ112111-1-1111-1-111111-1-1-1-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7ζ7
χ113111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ114111-1-1111-1-111111-1-1-1-11-1-11-1111-11-1-1-1-111-1-111−i−iii−i−iiii−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7ζ7−ζ7
χ115111-1-1111-1-1111-1-111-1-11-1-111-1-1-1-111111-1-1-1-111ii−i−i−i−iiii−i−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7
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χ14744444-2-4-4-4-4-2-2-20000-2-222220000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i300001+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i300001−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000000000
χ148444-4-4-2-4-444-2-2-20000222-2-220000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32+2i32+2i3−2−2i3−2−2i31+i31+i31+i30000−1−i3−1−i3−1−i31+i31+i3−1−i30000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2i32−2i3−2+2i3−2+2i31−i31−i31−i30000−1+i3−1+i3−1+i31−i31−i3−1+i30000000000000000000000000000
χ14944-44-4-24-44-422-20000-22-2-2220000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−2−2i32+2i3−2−2i32+2i3−1−i3−1−i31+i300001+i3−1−i31+i31+i3−1−i3−1−i30000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−2+2i32−2i3−2+2i32−2i3−1+i3−1+i31−i300001−i3−1+i31−i31−i3−1+i3−1+i30000000000000000000000000000
χ15044-4-44-24-4-4422-200002-2-22-220000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i31+i3−1−i30000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i31−i3−1+i30000000000000000000000000000
χ1518-80008000000-800000000000000000000000000000000000000−4−4i34+4i3000−4−4i30000004+4i300000000000000000000000000000000000000−4+4i34−4i3000−4+4i30000004−4i300000000000000000000000000000000000000
χ1528-8000-40000−4i34i3400000000000000000000000000000000000000−4−4i34+4i30002+2i30000−6+2i36−2i3−2−2i300000000000000000000000000000000000000−4+4i34−4i30002−2i300006+2i3−6−2i3−2+2i300000000000000000000000000000000000000
χ1538-8000-400004i3−4i3400000000000000000000000000000000000000−4−4i34+4i30002+2i300006−2i3−6+2i3−2−2i300000000000000000000000000000000000000−4+4i34−4i30002−2i30000−6−2i36+2i3−2+2i300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.