Finite Group Databasebeta

← Group #13167622

Character table — Group #13167622

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636
order12442436661212121222442488888888888888883612126123666121212126612126122424242424242424242424242424242436121261236661212121266121261224242424242424242424242424242424
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
χ51111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i1111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i1111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i
χ61111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii1111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii1111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii
χ71111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii1111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii1111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii
χ81111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i1111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i1111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i
χ911-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-111-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-111-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-1
χ1011-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-1111-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-1111-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-11
χ1111-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-1111-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-1111-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-11
χ1211-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-111-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-111-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-1
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
χ182222-2-22-2-2222-2-22222-2-200000000000000002222-2-22-2-2222-2-22222-2-200000000000000002222-2-22-2-2222-2-22222-2-20000000000000000
χ1922-2-22-22222-2-2-2-222-2-22-2000000000000000022-2-22-22222-2-2-2-222-2-22-2000000000000000022-2-22-22222-2-2-2-222-2-22-20000000000000000
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−2i00i2−i22−22−2i2−i2000000002-22i−2i00200-22i−2i002-22i−2i00i2−i22−22−2i2−i2000000002-22i−2i00200-22i−2i002-22i−2i00i2−i22−22−2i2−i200000000
χ222-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i2000000002-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i2000000002-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i200000000
χ232-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i2000000002-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i2000000002-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i200000000
χ242-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i2000000002-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i2000000002-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i200000000
χ252-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i2000000002-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i2000000002-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i200000000
χ262-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i2000000002-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i2000000002-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i200000000
χ272-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i2000000002-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i2000000002-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i200000000
χ282-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i2000000002-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i2000000002-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i200000000
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
χ411111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ421111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ431111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ441111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ4511-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4611-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ4711-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-11−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ4811-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
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+i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−1−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−i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22
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χ8211-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ8311-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ8411-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
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−i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+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+i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14
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−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+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−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14
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+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+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−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14
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−ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+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−ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14
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
χ902222-2-22-2-2222-2-22222-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000
χ9122-2-22-22222-2-2-2-222-2-22-20000000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−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−2i00i2−i22−22−2i2−i200000000−1−i31+i32ζ22−2ζ2200−1−i3001+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ2200−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i3001−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ1400−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ942-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i200000000−1−i31+i32ζ22−2ζ2200−1−i3001+i32ζ22−2ζ2200−1−i31+i32ζ22−2ζ2200ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i3001−i32ζ14−2ζ1400−1+i31−i32ζ14−2ζ1400ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ952-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i200000000−1−i31+i32ζ22−2ζ2200−1−i3001+i32ζ22−2ζ22001+i3−1−i3−2ζ222ζ2200−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i3001−i32ζ14−2ζ14001−i3−1+i3−2ζ142ζ1400−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ962-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i200000000−1−i31+i32ζ22−2ζ2200−1−i3001+i32ζ22−2ζ22001+i3−1−i3−2ζ222ζ2200ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i32ζ14−2ζ1400−1+i3001−i32ζ14−2ζ14001−i3−1+i3−2ζ142ζ1400ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ972-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i200000000−1−i31+i3−2ζ222ζ2200−1−i3001+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ2200−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i3−2ζ142ζ1400−1+i3001−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ1400−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ982-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i200000000−1−i31+i3−2ζ222ζ2200−1−i3001+i3−2ζ222ζ2200−1−i31+i3−2ζ222ζ2200ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i3−2ζ142ζ1400−1+i3001−i3−2ζ142ζ1400−1+i31−i3−2ζ142ζ1400ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ992-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i200000000−1−i31+i3−2ζ222ζ2200−1−i3001+i3−2ζ222ζ22001+i3−1−i32ζ22−2ζ2200−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i3−2ζ142ζ1400−1+i3001−i3−2ζ142ζ14001−i3−1+i32ζ14−2ζ1400−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ1002-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i200000000−1−i31+i3−2ζ222ζ2200−1−i3001+i3−2ζ222ζ22001+i3−1−i32ζ22−2ζ2200ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i3−2ζ142ζ1400−1+i3001−i3−2ζ142ζ14001−i3−1+i32ζ14−2ζ1400ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
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+4i38ζ22−8ζ22001+i32−3−3i323+3i32−1−i32−ζ22ζ223ζ22−3ζ220000000000000000000000−4+4i34−4i38ζ14−8ζ14001−i32−3+3i323−3i32−1+i32−ζ14ζ143ζ14−3ζ140000000000000000000000
χ1068-88i−8i00-1-331−ii−3i3i0000000000000000000000−4−4i34+4i38ζ22−8ζ22001+i323+3i32−3−3i32−1−i32−ζ22ζ22−3ζ223ζ220000000000000000000000−4+4i34−4i38ζ14−8ζ14001−i323−3i32−3+3i32−1+i32−ζ14ζ14−3ζ143ζ140000000000000000000000
χ1078-8−8i8i00-13-31i−i−3i3i0000000000000000000000−4−4i34+4i3−8ζ228ζ22001+i32−3−3i323+3i32−1−i32ζ22−ζ22−3ζ223ζ220000000000000000000000−4+4i34−4i3−8ζ148ζ14001−i32−3+3i323−3i32−1+i32ζ14−ζ14−3ζ143ζ140000000000000000000000
χ1088-8−8i8i00-1-331i−i3i−3i0000000000000000000000−4−4i34+4i3−8ζ228ζ22001+i323+3i32−3−3i32−1−i32ζ22−ζ223ζ22−3ζ220000000000000000000000−4+4i34−4i3−8ζ148ζ14001−i323−3i32−3+3i32−1+i32ζ14−ζ143ζ14−3ζ140000000000000000000000

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