Finite Group Databasebeta

← Group #10591771

Character table — Group #10591771

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121222444444366666663666666612121212121212121212121212121212121266121212121212366666663666666612121212121212121212121212121212121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-2-2-2-222222-2-2-2-2000000000000000000002i−2i0000222-2-2-2-222222-2-2-2-2000000000000000000002i−2i0000222-2-2-2-222222-2-2-2-2000000000000000000002i−2i0000
χ14222-2-2-2-222222-2-2-2-200000000000000000000−2i2i0000222-2-2-2-222222-2-2-2-200000000000000000000−2i2i0000222-2-2-2-222222-2-2-2-200000000000000000000−2i2i0000
χ1522-222-2-2-222-2-2-222-20000000000000000000000002i−2i22-222-2-2-222-2-2-222-20000000000000000000000002i−2i22-222-2-2-222-2-2-222-20000000000000000000000002i−2i
χ1622-222-2-2-222-2-2-222-2000000000000000000000000−2i2i22-222-2-2-222-2-2-222-2000000000000000000000000−2i2i22-222-2-2-222-2-2-222-2000000000000000000000000−2i2i
χ1722-2-2-222-222-2-22-2-22002i−2i0000002i2i−2i−2i00000000000022-2-2-222-222-2-22-2-22002i−2i0000002i2i−2i−2i00000000000022-2-2-222-222-2-22-2-22002i−2i0000002i2i−2i−2i000000000000
χ1822-2-2-222-222-2-22-2-2200−2i2i000000−2i−2i2i2i00000000000022-2-2-222-222-2-22-2-2200−2i2i000000−2i−2i2i2i00000000000022-2-2-222-222-2-22-2-2200−2i2i000000−2i−2i2i2i000000000000
χ1922-2-2-222-2-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i30000000022-2-2-222-2-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i30000000022-2-2-222-2-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i300000000
χ2022-2-2-222-2-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i30000000022-2-2-222-2-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i30000000022-2-2-222-2-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i300000000
χ2122-2-2-222-2-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i30000000022-2-2-222-2-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i30000000022-2-2-222-2-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i300000000
χ2222-2-2-222-2-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i30000000022-2-2-222-2-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i30000000022-2-2-222-2-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i300000000
χ232-222-22-2-22-22-2-22-2200000000000000000000002i−2i002-222-22-2-22-22-2-22-2200000000000000000000002i−2i002-222-22-2-22-22-2-22-2200000000000000000000002i−2i00
χ242-222-22-2-22-22-2-22-220000000000000000000000−2i2i002-222-22-2-22-22-2-22-220000000000000000000000−2i2i002-222-22-2-22-22-2-22-220000000000000000000000−2i2i00
χ252-22-22-22-22-22-22-22-200002i−2i000000002i−2i2i−2i000000002-22-22-22-22-22-22-22-200002i−2i000000002i−2i2i−2i000000002-22-22-22-22-22-22-22-200002i−2i000000002i−2i2i−2i00000000
χ262-22-22-22-22-22-22-22-20000−2i2i00000000−2i2i−2i2i000000002-22-22-22-22-22-22-22-20000−2i2i00000000−2i2i−2i2i000000002-22-22-22-22-22-22-22-20000−2i2i00000000−2i2i−2i2i00000000
χ272-22-22-22-2-11-11-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii000000002-22-22-22-2-11-11-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii000000002-22-22-22-2-11-11-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii00000000
χ282-22-22-22-2-11-11-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii000000002-22-22-22-2-11-11-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii000000002-22-22-22-2-11-11-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii00000000
χ292-22-22-22-2-11-11-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i000000002-22-22-22-2-11-11-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i000000002-22-22-22-2-11-11-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i00000000
χ302-22-22-22-2-11-11-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i000000002-22-22-22-2-11-11-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i000000002-22-22-22-2-11-11-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i00000000
χ312-2-22-2-2222-2-2222-2-22-200002-2-2200000000000000002-2-22-2-2222-2-2222-2-22-200002-2-2200000000000000002-2-22-2-2222-2-2222-2-22-200002-2-220000000000000000
χ322-2-22-2-2222-2-2222-2-2-220000-222-200000000000000002-2-22-2-2222-2-2222-2-2-220000-222-200000000000000002-2-22-2-2222-2-2222-2-2-220000-222-20000000000000000
χ332-2-22-2-222-111-1-1-1112-20000-111-13−3−33−333−3000000002-2-22-2-222-111-1-1-1112-20000-111-13−3−33−333−3000000002-2-22-2-222-111-1-1-1112-20000-111-13−3−33−333−300000000
χ342-2-22-2-222-111-1-1-1112-20000-111-1−333−33−3−33000000002-2-22-2-222-111-1-1-1112-20000-111-1−333−33−3−33000000002-2-22-2-222-111-1-1-1112-20000-111-1−333−33−3−3300000000
χ352-2-22-2-222-111-1-1-111-2200001-1-113−3−333−3−33000000002-2-22-2-222-111-1-1-111-2200001-1-113−3−333−3−33000000002-2-22-2-222-111-1-1-111-2200001-1-113−3−333−3−3300000000
χ362-2-22-2-222-111-1-1-111-2200001-1-11−333−3−333−3000000002-2-22-2-222-111-1-1-111-2200001-1-11−333−3−333−3000000002-2-22-2-222-111-1-1-111-2200001-1-11−333−3−333−300000000
χ372-2-2-222-222-2-22-2-2220000000000000000002-20000002-2-2-222-222-2-22-2-2220000000000000000002-20000002-2-2-222-222-2-22-2-2220000000000000000002-2000000
χ382-2-2-222-222-2-22-2-222000000000000000000-220000002-2-2-222-222-2-22-2-222000000000000000000-220000002-2-2-222-222-2-22-2-222000000000000000000-22000000
χ39444-4-4-4-44-2-2-2-2222200000000000000000000000000444-4-4-4-44-2-2-2-2222200000000000000000000000000444-4-4-4-44-2-2-2-2222200000000000000000000000000
χ4044-444-4-4-4-2-2222-2-220000000000000000000000000044-444-4-4-4-2-2222-2-220000000000000000000000000044-444-4-4-4-2-2222-2-2200000000000000000000000000
χ414-444-44-4-4-22-222-22-2000000000000000000000000004-444-44-4-4-22-222-22-2000000000000000000000000004-444-44-4-4-22-222-22-200000000000000000000000000
χ424-4-4-444-44-222-222-2-2000000000000000000000000004-4-4-444-44-222-222-2-2000000000000000000000000004-4-4-444-44-222-222-2-200000000000000000000000000
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
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−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+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−i321+i321+i321+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−i321+i321+i321+i321+i32
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−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−i321+i321+i321+i321+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
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−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−i321+i321+i321+i321+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
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−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−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−i321+i321+i321+i321+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
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−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−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+i32−1−i32−1−i321+i321+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
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−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+i32−1−i32−1−i321+i321+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
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−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−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
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χ1092-22-22-22-22-22-22-22-200002i−2i000000002i−2i2i−2i00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i300002ζ11−2ζ11000000002ζ11−2ζ112ζ11−2ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i300002ζ7−2ζ7000000002ζ7−2ζ72ζ7−2ζ700000000
χ1102-22-22-22-22-22-22-22-20000−2i2i00000000−2i2i−2i2i00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000−2ζ112ζ1100000000−2ζ112ζ11−2ζ112ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000−2ζ72ζ700000000−2ζ72ζ7−2ζ72ζ700000000
χ1112-22-22-22-2-11-11-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200002ζ11−2ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−3+i323−i32−3+i323−i32−ζ11ζ11−ζ11ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200002ζ7−2ζ7−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ113+i32−3−i323+i32−3−i32−ζ7ζ7−ζ7ζ700000000
χ1122-22-22-22-2-11-11-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200002ζ11−2ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ113−i32−3+i323−i32−3+i32−ζ11ζ11−ζ11ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200002ζ7−2ζ7ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−3−i323+i32−3−i323+i32−ζ7ζ7−ζ7ζ700000000
χ1132-22-22-22-2-11-11-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i320000−2ζ112ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ113−i32−3+i323−i32−3+i32ζ11−ζ11ζ11−ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i320000−2ζ72ζ7−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−3−i323+i32−3−i323+i32ζ7−ζ7ζ7−ζ700000000
χ1142-22-22-22-2-11-11-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i00000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i320000−2ζ112ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−3+i323−i32−3+i323−i32ζ11−ζ11ζ11−ζ1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i320000−2ζ72ζ7ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ113+i32−3−i323+i32−3−i32ζ7−ζ7ζ7−ζ700000000
χ1152-2-22-2-2222-2-2222-2-22-200002-2-220000000000000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30000000000000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30000000000000000
χ1162-2-22-2-2222-2-2222-2-2-220000-222-20000000000000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i300001+i3−1−i3−1−i31+i30000000000000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i300001−i3−1+i3−1+i31−i30000000000000000
χ1172-2-22-2-222-111-1-1-1112-20000-111-13−3−33−333−300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i31+i300001+i32−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i31−i300001−i32−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ1182-2-22-2-222-111-1-1-1112-20000-111-1−333−33−3−3300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i31+i300001+i32−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i31−i300001−i32−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1192-2-22-2-222-111-1-1-111-2200001-1-113−3−333−3−3300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i30000−1−i321+i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i30000−1+i321−i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1202-2-22-2-222-111-1-1-111-2200001-1-11−333−3−333−300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i30000−1−i321+i321+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i30000−1+i321−i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ1212-2-2-222-222-2-22-2-2220000000000000000002-2000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000000000−1−i31+i3000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000000000−1+i31−i3000000
χ1222-2-2-222-222-2-22-2-222000000000000000000-22000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000000000000001+i3−1−i3000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000000000000001−i3−1+i3000000
χ123444-4-4-4-44-2-2-2-2222200000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i32+2i32+2i3−2−2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i32−2i32−2i3−2+2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000000000
χ12444-444-4-4-4-2-2222-2-2200000000000000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i300000000000000000000000000
χ1254-444-44-4-4-22-222-22-200000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300000000000000000000000000
χ1264-4-4-444-44-222-222-2-200000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300000000000000000000000000

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