Finite Group Databasebeta

← Group #11723287

Character table — Group #11723287

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444444441212121212121212121212121818181811112222222222444444444444121212121212121212121212181818181111222222222244444444444412121212121212121212121218181818
order12222233666666366666666666244466121212121212444436666633666666366666666666612121266121212121212121212123666663366666636666666666661212126612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-111-1-1-1-1-11111-1-1-1-111111111111111111111111111-111-1-1-1-1-11111-1-1-1-111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1
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
χ51111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111-1-1111111111-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-1111111-1-1111111111-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-1111111-1-1111111111-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-111
χ71111-1-1111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111
χ81111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1
χ92222222-12-1-122-1-122-1-1-1-1-1-1-1-1-12002-1-1-1-1000000002222222-12-1-122-1-122-1-1-1-1-1-1-1-1-12002-1-1-1-1000000002222222-12-1-122-1-122-1-1-1-1-1-1-1-1-12002-1-1-1-100000000
χ102222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-200-21111000000002222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-200-21111000000002222222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-200-2111100000000
χ11222222-12-122-1-12-1-1-122-1-1-1-1-1-1-102200000-1-1-1-10000222222-12-122-1-12-1-1-122-1-1-1-1-1-1-102200000-1-1-1-10000222222-12-122-1-12-1-1-122-1-1-1-1-1-1-102200000-1-1-1-10000
χ12222222-12-122-1-12-1-1-122-1-1-1-1-1-1-10-2-20000011110000222222-12-122-1-12-1-1-122-1-1-1-1-1-1-10-2-20000011110000222222-12-122-1-12-1-1-122-1-1-1-1-1-1-10-2-20000011110000
χ132222-2-22-12-1-122-1-1-2-211-1-1-11111200-2-1-111000000002222-2-22-12-1-122-1-1-2-211-1-1-11111200-2-1-111000000002222-2-22-12-1-122-1-1-2-211-1-1-11111200-2-1-11100000000
χ142222-2-22-12-1-122-1-1-2-211-1-1-11111-200211-1-1000000002222-2-22-12-1-122-1-1-2-211-1-1-11111-200211-1-1000000002222-2-22-12-1-122-1-1-2-211-1-1-11111-200211-1-100000000
χ152222-2-2-12-122-1-12-111-2-2-1-1-1111102-200000-1-11100002222-2-2-12-122-1-12-111-2-2-1-1-1111102-200000-1-11100002222-2-2-12-122-1-12-111-2-2-1-1-1111102-200000-1-1110000
χ162222-2-2-12-122-1-12-111-2-2-1-1-111110-220000011-1-100002222-2-2-12-122-1-12-111-2-2-1-1-111110-220000011-1-100002222-2-2-12-122-1-12-111-2-2-1-1-111110-220000011-1-10000
χ1722-2-20022-22-22-2-2200002-2-20000000000000000002i−2i22-2-20022-22-22-2-2200002-2-20000000000000000002i−2i22-2-20022-22-22-2-2200002-2-20000000000000000002i−2i
χ1822-2-20022-22-22-2-2200002-2-2000000000000000000−2i2i22-2-20022-22-22-2-2200002-2-2000000000000000000−2i2i22-2-20022-22-22-2-2200002-2-2000000000000000000−2i2i
χ192-22-20022-2-22-22-220000-22-200000000000000002i−2i002-22-20022-2-22-22-220000-22-200000000000000002i−2i002-22-20022-2-22-22-220000-22-200000000000000002i−2i00
χ202-22-20022-2-22-22-220000-22-20000000000000000−2i2i002-22-20022-2-22-22-220000-22-20000000000000000−2i2i002-22-20022-2-22-22-220000-22-20000000000000000−2i2i00
χ212-2-222-2222-2-2-2-2222-22-2-2-2222-2-200000000000000002-2-222-2222-2-2-2-2222-22-2-2-2222-2-200000000000000002-2-222-2222-2-2-2-2222-22-2-2-2222-2-20000000000000000
χ222-2-222-22-1211-2-2-1-12-2-1111-1-1-1110000−i3i3−i3i3000000002-2-222-22-1211-2-2-1-12-2-1111-1-1-1110000−i3i3−i3i3000000002-2-222-22-1211-2-2-1-12-2-1111-1-1-1110000−i3i3−i3i300000000
χ232-2-222-22-1211-2-2-1-12-2-1111-1-1-1110000i3−i3i3−i3000000002-2-222-22-1211-2-2-1-12-2-1111-1-1-1110000i3−i3i3−i3000000002-2-222-22-1211-2-2-1-12-2-1111-1-1-1110000i3−i3i3−i300000000
χ242-2-222-2-12-1-2-2112-1-112-211-1-1-111000000003−33−300002-2-222-2-12-1-2-2112-1-112-211-1-1-111000000003−33−300002-2-222-2-12-1-2-2112-1-112-211-1-1-111000000003−33−30000
χ252-2-222-2-12-1-2-2112-1-112-211-1-1-11100000000−33−3300002-2-222-2-12-1-2-2112-1-112-211-1-1-11100000000−33−3300002-2-222-2-12-1-2-2112-1-112-211-1-1-11100000000−33−330000
χ262-2-22-22222-2-2-2-222-22-22-2-22-2-22200000000000000002-2-22-22222-2-2-2-222-22-22-2-22-2-22200000000000000002-2-22-22222-2-2-2-222-22-22-2-22-2-2220000000000000000
χ272-2-22-222-1211-2-2-1-1-221-111-111-1-10000−i3i3i3−i3000000002-2-22-222-1211-2-2-1-1-221-111-111-1-10000−i3i3i3−i3000000002-2-22-222-1211-2-2-1-1-221-111-111-1-10000−i3i3i3−i300000000
χ282-2-22-222-1211-2-2-1-1-221-111-111-1-10000i3−i3−i3i3000000002-2-22-222-1211-2-2-1-1-221-111-111-1-10000i3−i3−i3i3000000002-2-22-222-1211-2-2-1-1-221-111-111-1-10000i3−i3−i3i300000000
χ292-2-22-22-12-1-2-2112-11-1-2211-111-1-1000000003−3−3300002-2-22-22-12-1-2-2112-11-1-2211-111-1-1000000003−3−3300002-2-22-22-12-1-2-2112-11-1-2211-111-1-1000000003−3−330000
χ302-2-22-22-12-1-2-2112-11-1-2211-111-1-100000000−333−300002-2-22-22-12-1-2-2112-11-1-2211-111-1-100000000−333−300002-2-22-22-12-1-2-2112-11-1-2211-111-1-100000000−333−30000
χ31444444-2-2-2-2-2-2-2-21-2-2-2-211111110000000000000000444444-2-2-2-2-2-2-2-21-2-2-2-211111110000000000000000444444-2-2-2-2-2-2-2-21-2-2-2-211111110000000000000000
χ324444-4-4-2-2-2-2-2-2-2-212222111-1-1-1-100000000000000004444-4-4-2-2-2-2-2-2-2-212222111-1-1-1-100000000000000004444-4-4-2-2-2-2-2-2-2-212222111-1-1-1-10000000000000000
χ3344-4-4004-2-4-224-42-20000-2220000000000000000000044-4-4004-2-4-224-42-20000-2220000000000000000000044-4-4004-2-4-224-42-20000-22200000000000000000000
χ3444-4-400-2424-4-22-4-20000-2220000000000000000000044-4-400-2424-4-22-4-20000-2220000000000000000000044-4-400-2424-4-22-4-20000-22200000000000000000000
χ3544-4-400-2-22-22-222100001-1-13-33-3000000000000000044-4-400-2-22-22-222100001-1-13-33-3000000000000000044-4-400-2-22-22-222100001-1-13-33-30000000000000000
χ3644-4-400-2-22-22-222100001-1-1-33-33000000000000000044-4-400-2-22-22-222100001-1-1-33-33000000000000000044-4-400-2-22-22-222100001-1-1-33-330000000000000000
χ374-44-4004-2-42-2-442-200002-22000000000000000000004-44-4004-2-42-2-442-200002-22000000000000000000004-44-4004-2-42-2-442-200002-2200000000000000000000
χ384-44-400-242-442-2-4-200002-22000000000000000000004-44-400-242-442-2-4-200002-22000000000000000000004-44-400-242-442-2-4-200002-2200000000000000000000
χ394-44-400-2-222-22-2210000-11-13-3-3300000000000000004-44-400-2-222-22-2210000-11-13-3-3300000000000000004-44-400-2-222-22-2210000-11-13-3-330000000000000000
χ404-44-400-2-222-22-2210000-11-1-333-300000000000000004-44-400-2-222-22-2210000-11-1-333-300000000000000004-44-400-2-222-22-2210000-11-1-333-30000000000000000
χ414-4-444-4-2-2-22222-21-22-22-1-1111-1-100000000000000004-4-444-4-2-2-22222-21-22-22-1-1111-1-100000000000000004-4-444-4-2-2-22222-21-22-22-1-1111-1-10000000000000000
χ424-4-44-44-2-2-22222-212-22-2-1-11-1-11100000000000000004-4-44-44-2-2-22222-212-22-2-1-11-1-11100000000000000004-4-44-44-2-2-22222-212-22-2-1-11-1-1110000000000000000
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
χ44111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1−1+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−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−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4511111111111111111111111111-111-1-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+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
χ471111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-1−1+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+i321−i321−i321−i321−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+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+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−i321+i321+i32−1−i32−1−i321+i321+i32
χ481111-1-1111111111-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+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−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−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ491111-1-1111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+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−i321+i321+i32−1−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−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ501111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i32
χ512222222-12-1-122-1-122-1-1-1-1-1-1-1-1-12002-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i300−1+i31−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i300−1−i31+i321+i321+i321+i3200000000
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χ1082-2-222-2-12-1-2-2112-1-112-211-1-1-111000000003−33−30000−1−i31+i31+i3−1−i3−1−i31+i31+i32−1−i31+i321+i31+i3−1−i32−1−i32−1−i31+i321+i32−1−i32−1−i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32000000002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i31−i3−1+i3−1+i31−i31−i32−1+i31−i321−i31−i3−1+i32−1+i32−1+i31−i321−i32−1+i32−1+i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i3200000000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ1092-2-222-2-12-1-2-2112-1-112-211-1-1-11100000000−33−330000−1−i31+i31+i3−1−i3−1−i31+i31+i32−1−i31+i321+i31+i3−1−i32−1−i32−1−i31+i321+i32−1−i32−1−i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i3200000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i3−1+i31−i31−i32−1+i31−i321−i31−i3−1+i32−1+i32−1+i31−i321−i32−1+i32−1+i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i3200000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000
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χ1112-2-22-222-1211-2-2-1-1-221-111-111-1-10000−i3i3i3−i300000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i321+i3−1−i3−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000−3+i323−i323−i32−3+i3200000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i321−i3−1+i3−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i3200003+i32−3−i32−3−i323+i3200000000
χ1122-2-22-222-1211-2-2-1-1-221-111-111-1-10000i3−i3−i3i300000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i321+i3−1−i3−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i3200003−i32−3+i32−3+i323−i3200000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i321−i3−1+i3−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000−3−i323+i323+i32−3−i3200000000
χ1132-2-22-22-12-1-2-2112-11-1-2211-111-1-1000000003−3−330000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i32−1−i31+i32−1−i321+i321+i3−1−i3−1−i32−1−i321+i32−1−i32−1−i321+i321+i32000000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i32−1+i31−i32−1+i321−i321−i3−1+i3−1+i32−1+i321−i32−1+i32−1+i321−i321−i3200000000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000
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χ115444444-2-2-2-2-2-2-2-21-2-2-2-211111110000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ1164444-4-4-2-2-2-2-2-2-2-212222111-1-1-1-10000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000000
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χ11944-4-400-2-22-22-222100001-1-13-33-30000000000000000−2−2i3−2−2i32+2i32+2i3001+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i320000−1−i321+i321+i32−3−3i323+3i32−3−3i323+3i320000000000000000−2+2i3−2+2i32−2i32−2i3001−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i320000−1+i321−i321−i32−3+3i323−3i32−3+3i323−3i320000000000000000
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χ1244-44-400-2-222-22-2210000-11-1-333-30000000000000000−2−2i32+2i3−2−2i32+2i3001+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3200001+i32−1−i321+i323+3i32−3−3i32−3−3i323+3i320000000000000000−2+2i32−2i3−2+2i32−2i3001−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3200001−i32−1+i321−i323−3i32−3+3i32−3+3i323−3i320000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.