Finite Group Databasebeta

← Group #13157107

Character table — Group #13157107

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222244444444444444444444444444444444999918181818181836363636363636361111222222444444444444444444444444444444449999181818181818363636363636363611112222224444444444444444444444444444444499991818181818183636363636363636
order1222448888336666661212121212121212242424242424242424242424242424242222448888444444443666121224242424336666661212121212121212242424242424242424242424242424246666121224242424121212121212121236661212242424243366666612121212121212122424242424242424242424242424242466661212242424241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i1-1i−i1-1i−i1-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i1-1i−i1-1i−i1-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i1-1i−i1-1i−i
χ101-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i-11−ii-11−ii1-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i-11−ii-11−ii1-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i-11−ii-11−ii
χ111-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iiii−i-11−ii1-11-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iiii−i-11−ii1-11-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iiii−i-11−ii1-1
χ121-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iii−ii1-1i−i-111-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iii−ii1-1i−i-111-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iii−ii1-1i−i-11
χ131-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii1-1−ii1-1−ii1-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii1-1−ii1-1−ii1-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii1-1−ii1-1−ii
χ141-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii-11i−i-11i−i1-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii-11i−i-11i−i1-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii-11i−i-11i−i
χ151-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−ii−i1-1−ii-111-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−ii−i1-1−ii-111-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−ii−i1-1−ii-11
χ161-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−i−ii-11i−i1-11-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−i−ii-11i−i1-11-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−i−ii-11i−i1-1
χ172222-2-2000022222222-2-2-2-2-2-2-2-200000000000000002222-2-20000000000002222-2-2000022222222-2-2-2-2-2-2-2-200000000000000002222-2-20000000000002222-2-2000022222222-2-2-2-2-2-2-2-200000000000000002222-2-2000000000000
χ182222-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2220000000000002222-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2220000000000002222-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222000000000000
χ1922-2-200i2−i2i2−i22222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2-2200i2−i2i2−i20000000022-2-200i2−i2i2−i22222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2-2200i2−i2i2−i20000000022-2-200i2−i2i2−i22222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2-2200i2−i2i2−i200000000
χ2022-2-200i2−i2i2−i22222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222-200−i2i2−i2i20000000022-2-200i2−i2i2−i22222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222-200−i2i2−i2i20000000022-2-200i2−i2i2−i22222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222-200−i2i2−i2i200000000
χ2122-2-200−i2i2−i2i22222-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-2-2200−i2i2−i2i20000000022-2-200−i2i2−i2i22222-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-2-2200−i2i2−i2i20000000022-2-200−i2i2−i2i22222-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-2-2200−i2i2−i2i200000000
χ2222-2-200−i2i2−i2i22222-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-222-200i2−i2i2−i20000000022-2-200−i2i2−i2i22222-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-222-200i2−i2i2−i20000000022-2-200−i2i2−i2i22222-2-2-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-222-200i2−i2i2−i200000000
χ232-22-2002−2−2222-2-222-2-2000000002222−2−2−2−2−2−2−2−2222222-2-2002−2−22000000002-22-2002−2−2222-2-222-2-2000000002222−2−2−2−2−2−2−2−2222222-2-2002−2−22000000002-22-2002−2−2222-2-222-2-2000000002222−2−2−2−2−2−2−2−2222222-2-2002−2−2200000000
χ242-22-2002−2−2222-2-222-2-2000000002222−2−2−2−2−2−2−2−22222-2-22200−222−2000000002-22-2002−2−2222-2-222-2-2000000002222−2−2−2−2−2−2−2−22222-2-22200−222−2000000002-22-2002−2−2222-2-222-2-2000000002222−2−2−2−2−2−2−2−22222-2-22200−222−200000000
χ252-22-200−222−222-2-222-2-200000000−2−2−2−222222222−2−2−2−222-2-200−222−2000000002-22-200−222−222-2-222-2-200000000−2−2−2−222222222−2−2−2−222-2-200−222−2000000002-22-200−222−222-2-222-2-200000000−2−2−2−222222222−2−2−2−222-2-200−222−200000000
χ262-22-200−222−222-2-222-2-200000000−2−2−2−222222222−2−2−2−2-2-222002−2−22000000002-22-200−222−222-2-222-2-200000000−2−2−2−222222222−2−2−2−2-2-222002−2−22000000002-22-200−222−222-2-222-2-200000000−2−2−2−222222222−2−2−2−2-2-222002−2−2200000000
χ272-2-22-22000022-2-2-2-222-2-2-2-2222200000000000000002-22-2-220000000000002-2-22-22000022-2-2-2-222-2-2-2-2222200000000000000002-22-2-220000000000002-2-22-22000022-2-2-2-222-2-2-2-2222200000000000000002-22-2-22000000000000
χ282-2-22-22000022-2-2-2-222-2-2-2-222220000000000000000-22-222-20000000000002-2-22-22000022-2-2-2-222-2-2-2-222220000000000000000-22-222-20000000000002-2-22-22000022-2-2-2-222-2-2-2-222220000000000000000-22-222-2000000000000
χ2944444444441-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000044444444441-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000044444444441-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2000000000000000000
χ304444444444-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-2110000000000000000004444444444-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-2110000000000000000004444444444-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-211000000000000000000
χ31444444-4-4-4-41-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000444444-4-4-4-41-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000444444-4-4-4-41-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000
χ32444444-4-4-4-4-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000444444-4-4-4-4-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000444444-4-4-4-4-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000
χ334444-4-400001-21-21-21-2-1-122-1-1223i−3i003i−3i003i−3i003i−3i000000000000000000004444-4-400001-21-21-21-2-1-122-1-1223i−3i003i−3i003i−3i003i−3i000000000000000000004444-4-400001-21-21-21-2-1-122-1-1223i−3i003i−3i003i−3i003i−3i00000000000000000000
χ344444-4-400001-21-21-21-2-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i000000000000000000004444-4-400001-21-21-21-2-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i000000000000000000004444-4-400001-21-21-21-2-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000
χ354444-4-40000-21-21-21-2122-1-122-1-1003i−3i003i−3i003i−3i003i−3i0000000000000000004444-4-40000-21-21-21-2122-1-122-1-1003i−3i003i−3i003i−3i003i−3i0000000000000000004444-4-40000-21-21-21-2122-1-122-1-1003i−3i003i−3i003i−3i003i−3i000000000000000000
χ364444-4-40000-21-21-21-2122-1-122-1-100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000004444-4-40000-21-21-21-2122-1-122-1-100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000004444-4-40000-21-21-21-2122-1-122-1-100−3i3i00−3i3i00−3i3i00−3i3i000000000000000000
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χ66111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−1+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+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+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−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−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ67111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ68111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−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+i321−i321−i321−i321−i321−i321−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−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−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−i321+i321+i321+i321+i321+i321+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−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
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χ126111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−1−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−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−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+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+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ127111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ128111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−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−i321+i321+i321+i321+i321+i321+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−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+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+i321−i321−i321−i321−i321−i321−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−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
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χ1301-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1ii−i−i-11−ii-11−ii−1−i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14
χ1311-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iiii−i-11−ii1-1−1−i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ221+i32−1−i321+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ221+i32−1−i32−ζ22ζ22−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ141−i32−1+i321−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ141−i32−1+i32−ζ14ζ14−1+i321−i32
χ1321-1-111-1ii−i−i11-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-11−i−iii−ii1-1i−i-11−1−i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ221+i32−1−i321+i32−1−i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ141−i32−1+i321−i32−1+i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−1+i321−i32ζ14−ζ141−i32−1+i32
χ1331-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1−i−iii1-1−ii1-1−ii−1−i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−1−i321+i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−1+i321−i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14
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χ1361-1-111-1−i−iii11-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-11ii−i−i−ii-11i−i1-1−1−i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ221+i32−1−i321+i32−1−i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ221+i32−1−i32ζ22−ζ22−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ141−i32−1+i321−i32−1+i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ141−i32−1+i32ζ14−ζ14−1+i321−i32
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χ1724-44-400−222222−22-212-1-212-100−3i3i003i−3i22−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000−2−2i32+2i3−2−2i32+2i3002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ131+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i3200−3ζ223ζ22003ζ22−3ζ22−ζ7+ζ13−ζ7+ζ132ζ7+ζ13−ζ7−2ζ13ζ7−ζ13ζ7−ζ13−2ζ7−ζ13ζ7+2ζ13ζ7−ζ13ζ7−ζ13−2ζ7−ζ13ζ7+2ζ13−ζ7+ζ13−ζ7+ζ132ζ7+ζ13−ζ7−2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i300−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ231−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i3200−3ζ143ζ14003ζ14−3ζ14ζ5−ζ23ζ5−ζ23ζ5+2ζ23−2ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5−2ζ232ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5−2ζ232ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5+2ζ23−2ζ5−ζ23000000000000000000
χ1734-4-444-44i4i−4i−4i1-2-12-121-211-2-2-1-122ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i34ζ224ζ22−4ζ22−4ζ22−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3ζ22ζ22−2ζ22−2ζ22ζ22ζ22−2ζ22−2ζ22−ζ22−ζ222ζ222ζ22−ζ22−ζ222ζ222ζ22000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i34ζ144ζ14−4ζ14−4ζ14−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3ζ14ζ14−2ζ14−2ζ14ζ14ζ14−2ζ14−2ζ14−ζ14−ζ142ζ142ζ14−ζ14−ζ142ζ142ζ14000000000000000000
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χ1754-4-444-4−4i−4i4i4i1-2-12-121-211-2-2-1-122−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−4ζ22−4ζ224ζ224ζ22−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−ζ22−ζ222ζ222ζ22−ζ22−ζ222ζ222ζ22ζ22ζ22−2ζ22−2ζ22ζ22ζ22−2ζ22−2ζ22000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−4ζ14−4ζ144ζ144ζ14−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−ζ14−ζ142ζ142ζ14−ζ14−ζ142ζ142ζ14ζ14ζ14−2ζ14−2ζ14ζ14ζ14−2ζ14−2ζ14000000000000000000
χ1764-4-444-4−4i−4i4i4i-212-12-1-21-2-21122-1-12i2i−i−i2i2i−i−i−2i−2iii−2i−2iii000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3−4ζ22−4ζ224ζ224ζ221+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i322ζ222ζ22−ζ22−ζ222ζ222ζ22−ζ22−ζ22−2ζ22−2ζ22ζ22ζ22−2ζ22−2ζ22ζ22ζ22000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3−4ζ14−4ζ144ζ144ζ141−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i322ζ142ζ14−ζ14−ζ142ζ142ζ14−ζ14−ζ14−2ζ14−2ζ14ζ14ζ14−2ζ14−2ζ14ζ14ζ14000000000000000000
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χ1804-4-44-440000-212-12-1-2122-1-1-2-21100-3300-33003-3003-3000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i300001+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32003+3i32−3−3i32003+3i32−3−3i3200−3−3i323+3i3200−3−3i323+3i32000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i300001−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32003−3i32−3+3i32003−3i32−3+3i3200−3+3i323−3i3200−3+3i323−3i32000000000000000000

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