Finite Group Databasebeta

← Group #11723187

Character table — Group #11723187

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444444441212121212121212121212121818181811112222222222444444444444121212121212121212121212181818181111222222222244444444444412121212121212121212121218181818
order122233446666663666121212121212121224446612121212121244443666331212666666366612121212121212126121212661212121212121212121236663312126666663666121212121212121261212126612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111111111111111111111111-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11-11-1-1-1-11111-1-1-1-111111111111111111111111111-11-11-1-1-1-11111-1-1-1-111111111111111111111111111-11-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ6111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111
χ7111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111
χ8111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ922222-1222-1-12-12-1-1-1-1-1-122-1-1-1-12020-1-1-1-10000000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-12020-1-1-1-10000000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-12020-1-1-1-100000000
χ1022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1-20-2011110000000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1-20-2011110000000022222-1222-1-12-12-1-1-1-1-1-122-1-1-1-1-20-20111100000000
χ1122222-1-2-22-1-12-12-1-1-1-111-2-2111120-20-1-1110000000022222-1-2-22-1-12-12-1-1-1-111-2-2111120-20-1-1110000000022222-1-2-22-1-12-12-1-1-1-111-2-2111120-20-1-11100000000
χ1222222-1-2-22-1-12-12-1-1-1-111-2-21111-202011-1-10000000022222-1-2-22-1-12-12-1-1-1-111-2-21111-202011-1-10000000022222-1-2-22-1-12-12-1-1-1-111-2-21111-202011-1-100000000
χ132222-1222-122-12-1-1-1-1-122-1-1-1-1-1-102020000-1-1-1-100002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-102020000-1-1-1-100002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-102020000-1-1-1-10000
χ142222-1222-122-12-1-1-1-1-122-1-1-1-1-1-10-20-20000111100002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-10-20-20000111100002222-1222-122-12-1-1-1-1-122-1-1-1-1-1-10-20-2000011110000
χ152222-12-2-2-122-12-1-1-1-1-1-2-2111111020-2000011-1-100002222-12-2-2-122-12-1-1-1-1-1-2-2111111020-2000011-1-100002222-12-2-2-122-12-1-1-1-1-1-2-2111111020-2000011-1-10000
χ162222-12-2-2-122-12-1-1-1-1-1-2-21111110-2020000-1-11100002222-12-2-2-122-12-1-1-1-1-1-2-21111110-2020000-1-11100002222-12-2-2-122-12-1-1-1-1-1-2-21111110-2020000-1-1110000
χ1722-2-22200-2-22-2-222-2-2200000000000000000000002i−2i22-2-22200-2-22-2-222-2-2200000000000000000000002i−2i22-2-22200-2-22-2-222-2-2200000000000000000000002i−2i
χ1822-2-22200-2-22-2-222-2-220000000000000000000000−2i2i22-2-22200-2-22-2-222-2-220000000000000000000000−2i2i22-2-22200-2-22-2-222-2-220000000000000000000000−2i2i
χ192-22-222002-2-2-22-222-2-2000000000000000000002i−2i002-22-222002-2-2-22-222-2-2000000000000000000002i−2i002-22-222002-2-2-22-222-2-2000000000000000000002i−2i00
χ202-22-222002-2-2-22-222-2-200000000000000000000−2i2i002-22-222002-2-2-22-222-2-200000000000000000000−2i2i002-22-222002-2-2-22-222-2-200000000000000000000−2i2i00
χ212-2-22222i−2i-22-22-2-22-22-22i−2i2i−2i2i2i−2i−2i00000000000000002-2-22222i−2i-22-22-2-22-22-22i−2i2i−2i2i2i−2i−2i00000000000000002-2-22222i−2i-22-22-2-22-22-22i−2i2i−2i2i2i−2i−2i0000000000000000
χ222-2-2222−2i2i-22-22-2-22-22-2−2i2i−2i2i−2i−2i2i2i00000000000000002-2-2222−2i2i-22-22-2-22-22-2−2i2i−2i2i−2i−2i2i2i00000000000000002-2-2222−2i2i-22-22-2-22-22-2−2i2i−2i2i−2i−2i2i2i0000000000000000
χ232-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000−i3i33−3000000002-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000−i3i33−3000000002-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000−i3i33−300000000
χ242-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000i3−i3−33000000002-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000i3−i3−33000000002-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000i3−i3−3300000000
χ252-2-222-1−2i2i-2-1121-2-11-11i−i−2i2iii−i−i0000−i3i3−33000000002-2-222-1−2i2i-2-1121-2-11-11i−i−2i2iii−i−i0000−i3i3−33000000002-2-222-1−2i2i-2-1121-2-11-11i−i−2i2iii−i−i0000−i3i3−3300000000
χ262-2-222-1−2i2i-2-1121-2-11-11i−i−2i2iii−i−i0000i3−i33−3000000002-2-222-1−2i2i-2-1121-2-11-11i−i−2i2iii−i−i0000i3−i33−3000000002-2-222-1−2i2i-2-1121-2-11-11i−i−2i2iii−i−i0000i3−i33−300000000
χ272-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000−i3i33−300002-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000−i3i33−300002-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000−i3i33−30000
χ282-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000i3−i3−3300002-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000i3−i3−3300002-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000i3−i3−330000
χ292-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000−i3i3−3300002-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000−i3i3−3300002-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000−i3i3−330000
χ302-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000i3−i33−300002-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000i3−i33−300002-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000i3−i33−30000
χ314444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2111100000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000
χ324444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-100000000000000004444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000
χ3344-4-44-200-42-2-424-222-200000000000000000000000044-4-44-200-42-2-424-222-200000000000000000000000044-4-44-200-42-2-424-222-2000000000000000000000000
χ3444-4-4-24002-442-4-2-222-200000000000000000000000044-4-4-24002-442-4-2-222-200000000000000000000000044-4-4-24002-442-4-2-222-2000000000000000000000000
χ3544-4-4-2-20022-222-21-1-1100003-33-3000000000000000044-4-4-2-20022-222-21-1-1100003-33-3000000000000000044-4-4-2-20022-222-21-1-1100003-33-30000000000000000
χ3644-4-4-2-20022-222-21-1-110000-33-33000000000000000044-4-4-2-20022-222-21-1-110000-33-33000000000000000044-4-4-2-20022-222-21-1-110000-33-330000000000000000
χ374-44-44-200422-4-2-4-2-2220000000000000000000000004-44-44-200422-4-2-4-2-2220000000000000000000000004-44-44-200422-4-2-4-2-222000000000000000000000000
χ384-44-4-2400-2-4-4242-2-2220000000000000000000000004-44-4-2400-2-4-4242-2-2220000000000000000000000004-44-4-2400-2-4-4242-2-222000000000000000000000000
χ394-44-4-2-200-2222-2211-1-100003i−3i−3i3i00000000000000004-44-4-2-200-2222-2211-1-100003i−3i−3i3i00000000000000004-44-4-2-200-2222-2211-1-100003i−3i−3i3i0000000000000000
χ404-44-4-2-200-2222-2211-1-10000−3i3i3i−3i00000000000000004-44-4-2-200-2222-2211-1-10000−3i3i3i−3i00000000000000004-44-4-2-200-2222-2211-1-10000−3i3i3i−3i0000000000000000
χ414-4-44-2-24i−4i2-22-2221-11-1−2i2i−2i2iii−i−i00000000000000004-4-44-2-24i−4i2-22-2221-11-1−2i2i−2i2iii−i−i00000000000000004-4-44-2-24i−4i2-22-2221-11-1−2i2i−2i2iii−i−i0000000000000000
χ424-4-44-2-2−4i4i2-22-2221-11-12i−2i2i−2i−i−iii00000000000000004-4-44-2-2−4i4i2-22-2221-11-12i−2i2i−2i−i−iii00000000000000004-4-44-2-2−4i4i2-22-2221-11-12i−2i2i−2i−i−iii0000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111111111111111111111111111-11-11111-1-1-1-1-1-1-1-1−1+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+i321−i32−1+i321−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−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4511111111111111111111111111-11-11-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+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−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
χ47111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1−1+i32−1+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+i321−i321−i32−1+i32−1+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−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ48111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−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−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ49111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111−1+i32−1+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−i321−i32−1+i32−1+i321−i321−i321−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−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+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ50111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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+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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χ1082-2-222-12i−2i-2-1121-2-11-11−ii2i−2i−i−iii0000i3−i3−3300000000−1−i31+i31+i3−1−i3−1−i31+i322ζ11−2ζ111+i31+i32−1−i32−1−i3−1−i321+i31+i32−1−i321+i32−1−i32−ζ11ζ112ζ11−2ζ11−ζ11−ζ11ζ11ζ1100003−i32−3+i32−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i3−1+i31−i322ζ7−2ζ71−i31−i32−1+i32−1+i3−1+i321−i31−i32−1+i321−i32−1+i32−ζ7ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ70000−3−i323+i32ζ7+2ζ11−ζ7−2ζ1100000000
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χ1112-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000−i3i33−30000−1−i31+i31+i3−1−i31+i32−1−i32ζ11−2ζ11−1−i32−1−i31+i31+i321+i3−1−i321+i32−1−i321+i32−1−i322ζ11−2ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ1100000000−3+i323−i322ζ7+ζ11−2ζ7−ζ110000−1+i31−i31−i3−1+i31−i32−1+i32ζ7−2ζ7−1+i32−1+i31−i31−i321−i3−1+i321−i32−1+i321−i32−1+i322ζ7−2ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ7000000003+i32−3−i32−ζ7−2ζ11ζ7+2ζ110000
χ1122-2-22-122i−2i12-2-1-21-11-112i−2i−ii−i−iii00000000i3−i3−330000−1−i31+i31+i3−1−i31+i32−1−i32ζ11−2ζ11−1−i32−1−i31+i31+i321+i3−1−i321+i32−1−i321+i32−1−i322ζ11−2ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ11000000003−i32−3+i32−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i31−i32−1+i32ζ7−2ζ7−1+i32−1+i31−i31−i321−i3−1+i321−i32−1+i321−i32−1+i322ζ7−2ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ700000000−3−i323+i32ζ7+2ζ11−ζ7−2ζ110000
χ1132-2-22-12−2i2i12-2-1-21-11-11−2i2ii−iii−i−i00000000−i3i3−330000−1−i31+i31+i3−1−i31+i32−1−i3−2ζ112ζ11−1−i32−1−i31+i31+i321+i3−1−i321+i32−1−i321+i32−1−i32−2ζ112ζ11ζ11−ζ11ζ11ζ11−ζ11−ζ1100000000−3+i323−i32−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i31−i32−1+i3−2ζ72ζ7−1+i32−1+i31−i31−i321−i3−1+i321−i32−1+i321−i32−1+i32−2ζ72ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7000000003+i32−3−i32ζ7+2ζ11−ζ7−2ζ110000
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χ1214-44-44-200422-4-2-4-2-222000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i31+i300−2−2i3−1−i3−1−i32+2i31+i32+2i31+i31+i3−1−i3−1−i3000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i31−i300−2+2i3−1+i3−1+i32−2i31−i32−2i31−i31−i3−1+i3−1+i3000000000000000000000000
χ1224-44-4-2400-2-4-4242-2-222000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i3001+i32+2i32+2i3−1−i3−2−2i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i3001−i32−2i32−2i3−1+i3−2+2i3−1+i31−i31−i3−1+i3−1+i3000000000000000000000000
χ1234-44-4-2-200-2222-2211-1-100003i−3i−3i3i0000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3001+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i3200003ζ11−3ζ11−3ζ113ζ110000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3001−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i3200003ζ7−3ζ7−3ζ73ζ70000000000000000
χ1244-44-4-2-200-2222-2211-1-10000−3i3i3i−3i0000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3001+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i320000−3ζ113ζ113ζ11−3ζ110000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3001−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i320000−3ζ73ζ73ζ7−3ζ70000000000000000
χ1254-4-44-2-24i−4i2-22-2221-11-1−2i2i−2i2iii−i−i0000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i34ζ11−4ζ11−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i321+i32−1−i321+i32−2ζ112ζ11−2ζ112ζ11ζ11ζ11−ζ11−ζ110000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i34ζ7−4ζ7−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i321−i32−1+i321−i32−2ζ72ζ7−2ζ72ζ7ζ7ζ7−ζ7−ζ70000000000000000
χ1264-4-44-2-2−4i4i2-22-2221-11-12i−2i2i−2i−i−iii0000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−4ζ114ζ11−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i321+i32−1−i321+i322ζ11−2ζ112ζ11−2ζ11−ζ11−ζ11ζ11ζ110000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−4ζ74ζ7−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i321−i32−1+i321−i322ζ7−2ζ72ζ7−2ζ7−ζ7−ζ7ζ7ζ70000000000000000

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