Finite Group Databasebeta

← Group #72271635

Character table — Group #72271635

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222244444444448888888888888888888881616161616163232323232321111222222444444444488888888888888888888816161616161632323232323211112222224444444444888888888888888888888161616161616323232323232
order12222222224444444444444444444444444444444222444888888366666666612121212121212121212121212121212121212121212121212121212121212666121212242424242424366666666612121212121212121212121212121212121212121212121212121212121212666121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-1-111-1i−ii−i111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-1-111-1i−ii−i111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-1-111-1i−ii−i
χ10111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-1-111-1-11−ii−ii111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-1-111-1-11−ii−ii111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-1-111-1-11−ii−ii
χ11111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-11-1-111-1−ii−ii111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-11-1-111-1−ii−ii111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-11-1-111-1−ii−ii
χ12111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-1-111-1-11i−ii−i111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-1-111-1-11i−ii−i111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-1-111-1-11i−ii−i
χ13111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-11-11i−i−ii111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-11-11i−i−ii111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-11-11i−i−ii
χ14111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-11-111-11-1−iii−i111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-11-111-11-1−iii−i111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-11-111-11-1−iii−i
χ15111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-1-11-11−iii−i111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-1-11-11−iii−i111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-1-11-11−iii−i
χ16111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-11-111-11-1i−i−ii111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-11-111-11-1i−i−ii111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-11-111-11-1i−i−ii
χ17222222222200000000-2-22-2-20000000022-2-222-2-22-2000000000000222222222200000000-2-22-2-20000000022-2-222-2-22-2000000000000222222222200000000-2-22-2-20000000022-2-222-2-22-2000000000000
χ18222222222200000000-2-22-2-200000000-2-222-2-2222-2000000000000222222222200000000-2-22-2-200000000-2-222-2-2222-2000000000000222222222200000000-2-22-2-200000000-2-222-2-2222-2000000000000
χ19222222222200000000-2-2-22-222-2-222-2-200000000-22000000000000222222222200000000-2-2-22-222-2-222-2-200000000-22000000000000222222222200000000-2-2-22-222-2-222-2-200000000-22000000000000
χ20222222222200000000-2-2-22-2-2-222-2-22200000000-22000000000000222222222200000000-2-2-22-2-2-222-2-22200000000-22000000000000222222222200000000-2-2-22-2-2-222-2-22200000000-22000000000000
χ2122222222222222222222-2-220000000000000000-2-2-2-2000000000022222222222222222222-2-220000000000000000-2-2-2-2000000000022222222222222222222-2-220000000000000000-2-2-2-20000000000
χ222222222222-2-2-2-2-2-2-2-222-2-220000000000000000-2-22200000000002222222222-2-2-2-2-2-2-2-222-2-220000000000000000-2-22200000000002222222222-2-2-2-2-2-2-2-222-2-220000000000000000-2-2220000000000
χ23222222-2-2-2-200000000-2-22-22000000002i2i−2i−2i−2i−2i2i2i-22000000000000222222-2-2-2-200000000-2-22-22000000002i2i−2i−2i−2i−2i2i2i-22000000000000222222-2-2-2-200000000-2-22-22000000002i2i−2i−2i−2i−2i2i2i-22000000000000
χ24222222-2-2-2-200000000-2-22-2200000000−2i−2i2i2i2i2i−2i−2i-22000000000000222222-2-2-2-200000000-2-22-2200000000−2i−2i2i2i2i2i−2i−2i-22000000000000222222-2-2-2-200000000-2-22-2200000000−2i−2i2i2i2i2i−2i−2i-22000000000000
χ25222222-2-2-2-200000000-2-2-2222i2i−2i−2i−2i−2i2i2i000000002-2000000000000222222-2-2-2-200000000-2-2-2222i2i−2i−2i−2i−2i2i2i000000002-2000000000000222222-2-2-2-200000000-2-2-2222i2i−2i−2i−2i−2i2i2i000000002-2000000000000
χ26222222-2-2-2-200000000-2-2-222−2i−2i2i2i2i2i−2i−2i000000002-2000000000000222222-2-2-2-200000000-2-2-222−2i−2i2i2i2i2i−2i−2i000000002-2000000000000222222-2-2-2-200000000-2-2-222−2i−2i2i2i2i2i−2i−2i000000002-2000000000000
χ27222222-2-2-2-22222-2-2-2-222-2-2-2000000000000000022-220000000000222222-2-2-2-22222-2-2-2-222-2-2-2000000000000000022-220000000000222222-2-2-2-22222-2-2-2-222-2-2-2000000000000000022-220000000000
χ28222222-2-2-2-2-2-2-2-2222222-2-2-20000000000000000222-20000000000222222-2-2-2-2-2-2-2-2222222-2-2-20000000000000000222-20000000000222222-2-2-2-2-2-2-2-2222222-2-2-20000000000000000222-20000000000
χ294444-4-444-4-400000000000000000000000000000000022-2-20000004444-4-444-4-400000000000000000000000000000000022-2-20000004444-4-444-4-400000000000000000000000000000000022-2-2000000
χ304444-4-444-4-4000000000000000000000000000000000-2-2220000004444-4-444-4-4000000000000000000000000000000000-2-2220000004444-4-444-4-4000000000000000000000000000000000-2-222000000
χ314444-4-4-4-4440000000000000000000000000000000002-22-20000004444-4-4-4-4440000000000000000000000000000000002-22-20000004444-4-4-4-4440000000000000000000000000000000002-22-2000000
χ324444-4-4-4-444000000000000000000000000000000000-22-220000004444-4-4-4-444000000000000000000000000000000000-22-220000004444-4-4-4-444000000000000000000000000000000000-22-22000000
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χ444-44-4004-400−2i2i−2i2i−2i2i−2i2i0000000−2i2i00−2i2i002-2002-2000000000000004-44-4004-400−2i2i−2i2i−2i2i−2i2i0000000−2i2i00−2i2i002-2002-2000000000000004-44-4004-400−2i2i−2i2i−2i2i−2i2i0000000−2i2i00−2i2i002-2002-200000000000000
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χ5611111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−1+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−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+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+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−i321+i321+i321+i321+i32
χ5711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ581111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1−1+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−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
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χ66111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-11-11i−i−ii−1+i32−1+i32−1+i32−1+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−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−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+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11
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χ1081111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ10911111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−1−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+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−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−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+i321−i321−i321−i321−i32
χ11011111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1−1−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+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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1121111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111−1−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+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+i32−1−i32−1−i321+i321+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+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1131111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111−1−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+i32−1−i32−1−i32−1−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−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1141111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1−1−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+i32−1−i32−1−i32−1−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−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ115111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-1-111-1i−ii−i−1−i32−1−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−i32−1−i32−1−i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+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+i32−1+i32−1+i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ116111111-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11-1-111-1-11−ii−ii−1−i32−1−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−i32−1−i32−1−i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+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+i32−1+i32−1+i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7
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χ118111111-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11-1-111-1-11i−ii−i−1−i32−1−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−i32−1−i32−1−i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+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+i32−1+i32−1+i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ119111111-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-11-11i−i−ii−1−i32−1−i32−1−i32−1−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+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+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−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7
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χ121111111-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-1-11-11−iii−i−1−i32−1−i32−1−i32−1−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+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+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−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7
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χ1574-4-44-4400004-4-440000-44000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i30000−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i3000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i30000−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i3000000000000000000000000000000000
χ1584-4-44-440000-444-40000-44000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i300002+2i3−2−2i3−2−2i32+2i300002+2i3−2−2i3000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i300002−2i3−2+2i3−2+2i32−2i300002−2i3−2+2i3000000000000000000000000000000000
χ1598-8-888-800000000000000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3−4−4i34+4i300000000000000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3−4+4i34−4i300000000000000000000000000000000000000000000000

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