Finite Group Databasebeta

← Group #64049

Character table — Group #64049

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222266666666111111112222222222222222222266666666111111112222222222222222222266666666
order1222444422344666666612121212121212124444444436661212121266312126666666121212121212121212121212121212123666121212126631212666666612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1
χ411111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-111
χ81111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111-1-1
χ911-1-111-1-11-111-1-1-111-1-1111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-111-1-1-111-1-1111-1-111-1-1i−ii−ii−ii−i11-1-111-1-11-111-1-1-111-1-1111-1-111-1-1i−ii−ii−ii−i
χ1011-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−ii−ii−ii−ii11-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−ii−ii−ii−ii
χ1111-1-111-1-1-111-11-1-1-1-111111-1-1-1-111i−ii−i−ii−ii11-1-111-1-1-111-11-1-1-1-111111-1-1-1-111i−ii−i−ii−ii11-1-111-1-1-111-11-1-1-1-111111-1-1-1-111i−ii−i−ii−ii
χ1211-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−ii−iii−ii−i11-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−ii−iii−ii−i11-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−ii−iii−ii−i
χ1311-1-1-1-1111-11-11-1-111-1-11-1-111-1-111i−i−iii−i−ii11-1-1-1-1111-11-11-1-111-1-11-1-111-1-111i−i−iii−i−ii11-1-1-1-1111-11-11-1-111-1-11-1-111-1-111i−i−iii−i−ii
χ1411-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−iii−i−iii−i11-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−iii−i−iii−i11-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−iii−i−iii−i
χ1511-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1i−i−ii−iii−i11-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1i−i−ii−iii−i11-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1i−i−ii−iii−i
χ1611-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−iii−ii−i−ii11-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−iii−ii−i−ii11-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−iii−ii−i−ii
χ172222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822222222-2-2-1-2-2-1-11111-1-1-1-1-111110000000022222222-2-2-1-2-2-1-11111-1-1-1-1-111110000000022222222-2-2-1-2-2-1-11111-1-1-1-1-1111100000000
χ192222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111000000002222-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111000000002222-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111100000000
χ202222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1000000002222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1000000002222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-100000000
χ2122-2-222-2-22-2-12-211-1-111-1-1-111-1-1110000000022-2-222-2-22-2-12-211-1-111-1-1-111-1-1110000000022-2-222-2-22-2-12-211-1-111-1-1-111-1-11100000000
χ2222-2-222-2-2-22-1-221111-1-1-1-1-11111-1-10000000022-2-222-2-2-22-1-221111-1-1-1-1-11111-1-10000000022-2-222-2-2-22-1-221111-1-1-1-1-11111-1-100000000
χ2322-2-2-2-2222-2-1-2211-1-111-111-1-111-1-10000000022-2-2-2-2222-2-1-2211-1-111-111-1-111-1-10000000022-2-2-2-2222-2-1-2211-1-111-111-1-111-1-100000000
χ2422-2-2-2-222-22-12-21111-1-1-111-1-1-1-1110000000022-2-2-2-222-22-12-21111-1-1-111-1-1-1-1110000000022-2-2-2-222-22-12-21111-1-1-111-1-1-1-11100000000
χ252-22-22i−2i2i−2i002002-20000-22i−2i2i−2i0000000000002-22-22i−2i2i−2i002002-20000-22i−2i2i−2i0000000000002-22-22i−2i2i−2i002002-20000-22i−2i2i−2i000000000000
χ262-22-22i−2i2i−2i00-100-11−i3i3−i3i31−ii−ii3−33−3000000002-22-22i−2i2i−2i00-100-11−i3i3−i3i31−ii−ii3−33−3000000002-22-22i−2i2i−2i00-100-11−i3i3−i3i31−ii−ii3−33−300000000
χ272-22-22i−2i2i−2i00-100-11i3−i3i3−i31−ii−ii−33−33000000002-22-22i−2i2i−2i00-100-11i3−i3i3−i31−ii−ii−33−33000000002-22-22i−2i2i−2i00-100-11i3−i3i3−i31−ii−ii−33−3300000000
χ282-22-2−2i2i−2i2i002002-20000-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i002002-20000-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i002002-20000-2−2i2i−2i2i000000000000
χ292-22-2−2i2i−2i2i00-100-11−i3i3−i3i31i−ii−i−33−33000000002-22-2−2i2i−2i2i00-100-11−i3i3−i3i31i−ii−i−33−33000000002-22-2−2i2i−2i2i00-100-11−i3i3−i3i31i−ii−i−33−3300000000
χ302-22-2−2i2i−2i2i00-100-11i3−i3i3−i31i−ii−i3−33−3000000002-22-2−2i2i−2i2i00-100-11i3−i3i3−i31i−ii−i3−33−3000000002-22-2−2i2i−2i2i00-100-11i3−i3i3−i31i−ii−i3−33−300000000
χ312-2-222i−2i−2i2i00200-220000-22i−2i−2i2i0000000000002-2-222i−2i−2i2i00200-220000-22i−2i−2i2i0000000000002-2-222i−2i−2i2i00200-220000-22i−2i−2i2i000000000000
χ322-2-222i−2i−2i2i00-1001-1−i3i3i3−i31−iii−i3−3−33000000002-2-222i−2i−2i2i00-1001-1−i3i3i3−i31−iii−i3−3−33000000002-2-222i−2i−2i2i00-1001-1−i3i3i3−i31−iii−i3−3−3300000000
χ332-2-222i−2i−2i2i00-1001-1i3−i3−i3i31−iii−i−333−3000000002-2-222i−2i−2i2i00-1001-1i3−i3−i3i31−iii−i−333−3000000002-2-222i−2i−2i2i00-1001-1i3−i3−i3i31−iii−i−333−300000000
χ342-2-22−2i2i2i−2i00200-220000-2−2i2i2i−2i0000000000002-2-22−2i2i2i−2i00200-220000-2−2i2i2i−2i0000000000002-2-22−2i2i2i−2i00200-220000-2−2i2i2i−2i000000000000
χ352-2-22−2i2i2i−2i00-1001-1−i3i3i3−i31i−i−ii−333−3000000002-2-22−2i2i2i−2i00-1001-1−i3i3i3−i31i−i−ii−333−3000000002-2-22−2i2i2i−2i00-1001-1−i3i3i3−i31i−i−ii−333−300000000
χ362-2-22−2i2i2i−2i00-1001-1i3−i3−i3i31i−i−ii3−3−33000000002-2-22−2i2i2i−2i00-1001-1i3−i3−i3i31i−i−ii3−3−33000000002-2-22−2i2i2i−2i00-1001-1i3−i3−i3i31i−i−ii3−3−3300000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3911111111-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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+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−i32−1−i32−1−i321+i321+i321+i321+i32
χ4011111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ411111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32
χ421111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i32−1−i32
χ431111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32
χ441111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4511-1-111-1-11-111-1-1-111-1-1111-1-111-1-1i−ii−ii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ4611-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ4711-1-111-1-1-111-11-1-1-1-111111-1-1-1-111i−ii−i−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ4811-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−ii−iii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
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χ781111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−1+i32−1+i32
χ791111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32
χ801111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ8111-1-111-1-11-111-1-1-111-1-1111-1-111-1-1i−ii−ii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ8211-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−ii−ii−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ8311-1-111-1-1-111-11-1-1-1-111111-1-1-1-111i−ii−i−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ8411-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−ii−iii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ8511-1-1-1-1111-11-11-1-111-1-11-1-111-1-111i−i−iii−i−ii−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ8611-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−iii−i−iii−i−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ8711-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1i−i−ii−iii−i−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ8811-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−iii−ii−i−ii−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ892222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
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χ1042-2-222i−2i−2i2i00-1001-1−i3i3i3−i31−iii−i3−3−3300000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11001+i3200−1−i321+i32−3+i323−i323−i32−3+i32−1−i32−ζ11ζ11ζ11−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7001−i3200−1+i321−i323+i32−3−i32−3−i323+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1052-2-222i−2i−2i2i00-1001-1i3−i3−i3i31−iii−i−333−300000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11001+i3200−1−i321+i323−i32−3+i32−3+i323−i32−1−i32−ζ11ζ11ζ11−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7001−i3200−1+i321−i32−3−i323+i323+i32−3−i32−1+i32−ζ7ζ7ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ1062-2-22−2i2i2i−2i00200-220000-2−2i2i2i−2i000000000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ1100−1−i3001+i3−1−i300001+i3−2ζ112ζ112ζ11−2ζ11000000000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ700−1+i3001−i3−1+i300001−i3−2ζ72ζ72ζ7−2ζ7000000000000
χ1072-2-22−2i2i2i−2i00-1001-1−i3i3i3−i31i−i−ii−333−300000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11001+i3200−1−i321+i32−3+i323−i323−i32−3+i32−1−i32ζ11−ζ11−ζ11ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7001−i3200−1+i321−i323+i32−3−i32−3−i323+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ1082-2-22−2i2i2i−2i00-1001-1i3−i3−i3i31i−i−ii3−3−3300000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11001+i3200−1−i321+i323−i32−3+i32−3+i323−i32−1−i32ζ11−ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7001−i3200−1+i321−i32−3−i323+i323+i32−3−i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000

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