Finite Group Databasebeta

← Group #13167617

Character table — Group #13167617

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636
order12442436661212121222442444444444888888883612126123666121212126612126121212121212121212242424242424242436121261236661212121266121261212121212121212122424242424242424
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
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11-1-1111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11-1-1111-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-11-1-1111-1-11111-1-11111-1-1-1-111-1-111-1-1
χ61111-1-11-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-111
χ71111-1-11-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-11-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-11-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ81111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ911-1-11-11111-1-1-1-111-1-11-111-1-111-1-1i−ii−ii−ii−i11-1-11-11111-1-1-1-111-1-11-111-1-111-1-1i−ii−ii−ii−i11-1-11-11111-1-1-1-111-1-11-111-1-111-1-1i−ii−ii−ii−i
χ1011-1-11-11111-1-1-1-111-1-11-111-1-111-1-1−ii−ii−ii−ii11-1-11-11111-1-1-1-111-1-11-111-1-111-1-1−ii−ii−ii−ii11-1-11-11111-1-1-1-111-1-11-111-1-111-1-1−ii−ii−ii−ii
χ1111-1-11-11111-1-1-1-111-1-11-1-1-111-1-111i−ii−i−ii−ii11-1-11-11111-1-1-1-111-1-11-1-1-111-1-111i−ii−i−ii−ii11-1-11-11111-1-1-1-111-1-11-1-1-111-1-111i−ii−i−ii−ii
χ1211-1-11-11111-1-1-1-111-1-11-1-1-111-1-111−ii−iii−ii−i11-1-11-11111-1-1-1-111-1-11-1-1-111-1-111−ii−iii−ii−i11-1-11-11111-1-1-1-111-1-11-1-1-111-1-111−ii−iii−ii−i
χ1311-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii11-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii11-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii
χ1411-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i11-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i11-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i
χ1511-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i11-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i11-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i
χ1611-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii11-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii11-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii
χ1722222222222222-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-20000000000000000
χ182222-2-22-2-2222-2-2-2-2-2-22200000000000000002222-2-22-2-2222-2-2-2-2-2-22200000000000000002222-2-22-2-2222-2-2-2-2-2-2220000000000000000
χ1922-2-22-22222-2-2-2-2-2-222-22000000000000000022-2-22-22222-2-2-2-2-2-222-22000000000000000022-2-22-22222-2-2-2-2-2-222-220000000000000000
χ2022-2-2-222-2-22-2-222-2-2222-2000000000000000022-2-2-222-2-22-2-222-2-2222-2000000000000000022-2-2-222-2-22-2-222-2-2222-20000000000000000
χ212-22i−2i00200-22i−2i002-22i−2i0000002-22i−2i000000002-22i−2i00200-22i−2i002-22i−2i0000002-22i−2i000000002-22i−2i00200-22i−2i002-22i−2i0000002-22i−2i00000000
χ222-22i−2i00200-22i−2i002-22i−2i000000-22−2i2i000000002-22i−2i00200-22i−2i002-22i−2i000000-22−2i2i000000002-22i−2i00200-22i−2i002-22i−2i000000-22−2i2i00000000
χ232-22i−2i00200-22i−2i00-22−2i2i002i−2i2-20000000000002-22i−2i00200-22i−2i00-22−2i2i002i−2i2-20000000000002-22i−2i00200-22i−2i00-22−2i2i002i−2i2-2000000000000
χ242-22i−2i00200-22i−2i00-22−2i2i00−2i2i-220000000000002-22i−2i00200-22i−2i00-22−2i2i00−2i2i-220000000000002-22i−2i00200-22i−2i00-22−2i2i00−2i2i-22000000000000
χ252-2−2i2i00200-2−2i2i002-2−2i2i0000002-2−2i2i000000002-2−2i2i00200-2−2i2i002-2−2i2i0000002-2−2i2i000000002-2−2i2i00200-2−2i2i002-2−2i2i0000002-2−2i2i00000000
χ262-2−2i2i00200-2−2i2i002-2−2i2i000000-222i−2i000000002-2−2i2i00200-2−2i2i002-2−2i2i000000-222i−2i000000002-2−2i2i00200-2−2i2i002-2−2i2i000000-222i−2i00000000
χ272-2−2i2i00200-2−2i2i00-222i−2i002i−2i-220000000000002-2−2i2i00200-2−2i2i00-222i−2i002i−2i-220000000000002-2−2i2i00200-2−2i2i00-222i−2i002i−2i-22000000000000
χ282-2−2i2i00200-2−2i2i00-222i−2i00−2i2i2-20000000000002-2−2i2i00200-2−2i2i00-222i−2i00−2i2i2-20000000000002-2−2i2i00200-2−2i2i00-222i−2i00−2i2i2-2000000000000
χ29888888-1-1-1-1-1-1-1-10000000000000000000000888888-1-1-1-1-1-1-1-10000000000000000000000888888-1-1-1-1-1-1-1-10000000000000000000000
χ308888-8-8-111-1-1-11100000000000000000000008888-8-8-111-1-1-11100000000000000000000008888-8-8-111-1-1-1110000000000000000000000
χ3188-8-88-8-1-1-1-11111000000000000000000000088-8-88-8-1-1-1-11111000000000000000000000088-8-88-8-1-1-1-111110000000000000000000000
χ3288-8-8-88-111-111-1-1000000000000000000000088-8-8-88-111-111-1-1000000000000000000000088-8-8-88-111-111-1-10000000000000000000000
χ338-88i−8i00-13-31−ii3i−3i00000000000000000000008-88i−8i00-13-31−ii3i−3i00000000000000000000008-88i−8i00-13-31−ii3i−3i0000000000000000000000
χ348-88i−8i00-1-331−ii−3i3i00000000000000000000008-88i−8i00-1-331−ii−3i3i00000000000000000000008-88i−8i00-1-331−ii−3i3i0000000000000000000000
χ358-8−8i8i00-13-31i−i−3i3i00000000000000000000008-8−8i8i00-13-31i−i−3i3i00000000000000000000008-8−8i8i00-13-31i−i−3i3i0000000000000000000000
χ368-8−8i8i00-1-331i−i3i−3i00000000000000000000008-8−8i8i00-1-331i−i3i−3i00000000000000000000008-8−8i8i00-1-331i−i3i−3i0000000000000000000000
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
χ3911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−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−i32−1−i32−1−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−i321+i321+i321+i321+i32
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ411111-1-11-1-1111-1-11111-1-11111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ421111-1-11-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i321+i321+i32−1−i32−1−i32
χ431111-1-11-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ441111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4511-1-11-11111-1-1-1-111-1-11-111-1-111-1-1i−ii−ii−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ4611-1-11-11111-1-1-1-111-1-11-111-1-111-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ4711-1-11-11111-1-1-1-111-1-11-1-1-111-1-111i−ii−i−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ4811-1-11-11111-1-1-1-111-1-11-1-1-111-1-111−ii−iii−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ4911-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
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χ8311-1-11-11111-1-1-1-111-1-11-1-1-111-1-111i−ii−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ8411-1-11-11111-1-1-1-111-1-11-1-1-111-1-111−ii−iii−ii−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ8511-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ8611-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ8711-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+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−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ8811-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+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−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ8922222222222222-2-2-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000000000
χ902222-2-22-2-2222-2-2-2-2-2-2220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000
χ9122-2-22-22222-2-2-2-2-2-222-220000000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000000000
χ9222-2-2-222-2-22-2-222-2-2222-20000000000000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000
χ932-22i−2i00200-22i−2i002-22i−2i0000002-22i−2i00000000−1−i31+i32ζ11−2ζ1100−1−i3001+i32ζ11−2ζ1100−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ1100000000−1+i31−i32ζ7−2ζ700−1+i3001−i32ζ7−2ζ700−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ700000000
χ942-22i−2i00200-22i−2i002-22i−2i000000-22−2i2i00000000−1−i31+i32ζ11−2ζ1100−1−i3001+i32ζ11−2ζ1100−1−i31+i32ζ11−2ζ110000001+i3−1−i3−2ζ112ζ1100000000−1+i31−i32ζ7−2ζ700−1+i3001−i32ζ7−2ζ700−1+i31−i32ζ7−2ζ70000001−i3−1+i3−2ζ72ζ700000000
χ952-22i−2i00200-22i−2i00-22−2i2i002i−2i2-2000000000000−1−i31+i32ζ11−2ζ1100−1−i3001+i32ζ11−2ζ11001+i3−1−i3−2ζ112ζ11002ζ11−2ζ11−1−i31+i3000000000000−1+i31−i32ζ7−2ζ700−1+i3001−i32ζ7−2ζ7001−i3−1+i3−2ζ72ζ7002ζ7−2ζ7−1+i31−i3000000000000
χ962-22i−2i00200-22i−2i00-22−2i2i00−2i2i-22000000000000−1−i31+i32ζ11−2ζ1100−1−i3001+i32ζ11−2ζ11001+i3−1−i3−2ζ112ζ1100−2ζ112ζ111+i3−1−i3000000000000−1+i31−i32ζ7−2ζ700−1+i3001−i32ζ7−2ζ7001−i3−1+i3−2ζ72ζ700−2ζ72ζ71−i3−1+i3000000000000
χ972-2−2i2i00200-2−2i2i002-2−2i2i0000002-2−2i2i00000000−1−i31+i3−2ζ112ζ1100−1−i3001+i3−2ζ112ζ1100−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ1100000000−1+i31−i3−2ζ72ζ700−1+i3001−i3−2ζ72ζ700−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ700000000
χ982-2−2i2i00200-2−2i2i002-2−2i2i000000-222i−2i00000000−1−i31+i3−2ζ112ζ1100−1−i3001+i3−2ζ112ζ1100−1−i31+i3−2ζ112ζ110000001+i3−1−i32ζ11−2ζ1100000000−1+i31−i3−2ζ72ζ700−1+i3001−i3−2ζ72ζ700−1+i31−i3−2ζ72ζ70000001−i3−1+i32ζ7−2ζ700000000
χ992-2−2i2i00200-2−2i2i00-222i−2i002i−2i-22000000000000−1−i31+i3−2ζ112ζ1100−1−i3001+i3−2ζ112ζ11001+i3−1−i32ζ11−2ζ11002ζ11−2ζ111+i3−1−i3000000000000−1+i31−i3−2ζ72ζ700−1+i3001−i3−2ζ72ζ7001−i3−1+i32ζ7−2ζ7002ζ7−2ζ71−i3−1+i3000000000000
χ1002-2−2i2i00200-2−2i2i00-222i−2i00−2i2i2-2000000000000−1−i31+i3−2ζ112ζ1100−1−i3001+i3−2ζ112ζ11001+i3−1−i32ζ11−2ζ1100−2ζ112ζ11−1−i31+i3000000000000−1+i31−i3−2ζ72ζ700−1+i3001−i3−2ζ72ζ7001−i3−1+i32ζ7−2ζ700−2ζ72ζ7−1+i31−i3000000000000
χ101888888-1-1-1-1-1-1-1-10000000000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i320000000000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000
χ1028888-8-8-111-1-1-1110000000000000000000000−4−4i3−4−4i3−4−4i3−4−4i34+4i34+4i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320000000000000000000000−4+4i3−4+4i3−4+4i3−4+4i34−4i34−4i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320000000000000000000000
χ10388-8-88-8-1-1-1-111110000000000000000000000−4−4i3−4−4i34+4i34+4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000−4+4i3−4+4i34−4i34−4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000
χ10488-8-8-88-111-111-1-10000000000000000000000−4−4i3−4−4i34+4i34+4i34+4i3−4−4i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000000000000000000000−4+4i3−4+4i34−4i34−4i34−4i3−4+4i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000000000000000000000
χ1058-88i−8i00-13-31−ii3i−3i0000000000000000000000−4−4i34+4i38ζ11−8ζ11001+i32−3−3i323+3i32−1−i32−ζ11ζ113ζ11−3ζ110000000000000000000000−4+4i34−4i38ζ7−8ζ7001−i32−3+3i323−3i32−1+i32−ζ7ζ73ζ7−3ζ70000000000000000000000
χ1068-88i−8i00-1-331−ii−3i3i0000000000000000000000−4−4i34+4i38ζ11−8ζ11001+i323+3i32−3−3i32−1−i32−ζ11ζ11−3ζ113ζ110000000000000000000000−4+4i34−4i38ζ7−8ζ7001−i323−3i32−3+3i32−1+i32−ζ7ζ7−3ζ73ζ70000000000000000000000
χ1078-8−8i8i00-13-31i−i−3i3i0000000000000000000000−4−4i34+4i3−8ζ118ζ11001+i32−3−3i323+3i32−1−i32ζ11−ζ11−3ζ113ζ110000000000000000000000−4+4i34−4i3−8ζ78ζ7001−i32−3+3i323−3i32−1+i32ζ7−ζ7−3ζ73ζ70000000000000000000000
χ1088-8−8i8i00-1-331i−i3i−3i0000000000000000000000−4−4i34+4i3−8ζ118ζ11001+i323+3i32−3−3i32−1−i32ζ11−ζ113ζ11−3ζ110000000000000000000000−4+4i34−4i3−8ζ78ζ7001−i323−3i32−3+3i32−1+i32ζ7−ζ73ζ7−3ζ70000000000000000000000

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