Finite Group Databasebeta

← Group #11723278

Character table — Group #11723278

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836
order1222336666662366666666666444444121212121212121244236663366666663666666666661212121212121212121212121212121263666336666666366666666666121212121212121212121212121212126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-11111111111111111111111111-1-111-11-1-1-1-11111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1
χ6111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11
χ7111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11
χ8111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1
χ922222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-10022020000-1-1-1-1000
χ1022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-20000111100022222-12-122-1-12-122-1-1-1-1-1-1-1-1-100-2-20-200001111000
χ1122222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-11100022222-12-122-1-1-2-1-2-211-1-1-1111100220-20000-1-111000
χ1222222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-100022222-12-122-1-1-2-1-2-211-1-1-1111100-2-202000011-1-1000
χ132222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1220020-1-1-1-10000000
χ142222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-20111100000002222-12-12-1-1222-1-1-122-1-1-1-1-1-1-1-2-200-2011110000000
χ152222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-11100000002222-12-12-1-122-2-111-2-2-1-1-111112200-20-1-1110000000
χ162222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-100000002222-12-12-1-122-2-111-2-2-1-1-11111-2-2002011-1-10000000
χ1722-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i00000000022-2-2222-2-2-22-20200002-2-200002i−2i00002i−2i000000000
χ1822-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i00000000022-2-2222-2-2-22-20200002-2-20000−2i2i0000−2i2i000000000
χ1922-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−3000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i32i−2i0000−ii3−30000000
χ2022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−33000000022-2-2-12-1-2112-20-1−i3i300-111−i3−i3i3i3−2i2i0000i−i−330000000
χ2122-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−33000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i32i−2i0000−ii−330000000
χ2222-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−3000000022-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−30000000
χ232-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i000002-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i00000
χ242-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i000002-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i00000
χ252-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−30002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−3000
χ262-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−330002-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−33000
χ272-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−330002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−33000
χ282-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−30002-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−3000
χ292-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-202-2-2222-2-2-22-22020000-2-220000000000000000002-20
χ302-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-2202-2-2222-2-2-22-22020000-2-22000000000000000000-220
χ314444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-2111111100000000000000000
χ324444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-100000000000000000
χ3344-4-44-242-4-4-220-20000-22200000000000000000000044-4-44-242-4-4-220-20000-22200000000000000000000044-4-44-242-4-4-220-20000-222000000000000000000000
χ3444-4-4-2-2-2222-2201−2i32i3001-1-1i3i3−i3−i30000000000000000044-4-4-2-2-2222-2201−2i32i3001-1-1i3i3−i3−i30000000000000000044-4-4-2-2-2222-2201−2i32i3001-1-1i3i3−i3−i300000000000000000
χ3544-4-4-2-2-2222-22012i3−2i3001-1-1−i3−i3i3i30000000000000000044-4-4-2-2-2222-22012i3−2i3001-1-1−i3−i3i3i30000000000000000044-4-4-2-2-2222-22012i3−2i3001-1-1−i3−i3i3i300000000000000000
χ364-44-4-2424-22-4-40-200002-220000000000000000000004-44-4-2424-22-4-40-200002-220000000000000000000004-44-4-2424-22-4-40-200002-22000000000000000000000
χ374-44-4-2-22-2-22220100−2i32i3-11-1i3−i3i3−i3000000000000000004-44-4-2-22-2-22220100−2i32i3-11-1i3−i3i3−i3000000000000000004-44-4-2-22-2-22220100−2i32i3-11-1i3−i3i3−i300000000000000000
χ384-44-4-2-22-2-222201002i3−2i3-11-1−i3i3−i3i3000000000000000004-44-4-2-22-2-222201002i3−2i3-11-1−i3i3−i3i3000000000000000004-44-4-2-22-2-222201002i3−2i3-11-1−i3i3−i3i300000000000000000
χ394-4-444-2-42-442-20-2000022-20000000000000000000004-4-444-2-42-442-20-2000022-20000000000000000000004-4-444-2-42-442-20-2000022-2000000000000000000000
χ404-4-44-242-42-2-440-2000022-20000000000000000000004-4-44-242-42-2-440-2000022-20000000000000000000004-4-44-242-42-2-440-2000022-2000000000000000000000
χ414-4-44-2-2222-22-2010000-1-113-3-33000000000000000004-4-44-2-2222-22-2010000-1-113-3-33000000000000000004-4-44-2-2222-22-2010000-1-113-3-3300000000000000000
χ424-4-44-2-2222-22-2010000-1-11-333-3000000000000000004-4-44-2-2222-22-2010000-1-11-333-3000000000000000004-4-44-2-2222-22-2010000-1-11-333-300000000000000000
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
χ44111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1−1+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+i321−i32−1+i32−1+i32−1+i32−1+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−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111111111-1-111-11-1-1-1-11111-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ461111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ47111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-111-1−1+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−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ48111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11−1+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−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ49111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11−1+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−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ50111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1−1+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−i321−i321−i321−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−i32−1+i32−1+i32−1+i32−1+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−i321+i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i321+i32
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χ10622-2-2-12-1-2112-20-1i3−i300-111i3i3−i3−i3−2i2i0000i−i3−30000000−1−i3−1−i31+i31+i31+i32−1−i31+i321+i3−1−i32−1−i32−1−i31+i301+i323−i32−3+i32001+i32−1−i32−1−i323−i323−i32−3+i32−3+i32−2ζ112ζ110000ζ11−ζ112ζ7+ζ11−2ζ7−ζ110000000−1+i3−1+i31−i31−i31−i32−1+i31−i321−i3−1+i32−1+i32−1+i31−i301−i32−3−i323+i32001−i32−1+i32−1+i32−3−i32−3−i323+i323+i32−2ζ72ζ70000ζ7−ζ7−ζ7−2ζ11ζ7+2ζ110000000
χ1072-22-222-222-2-2-2020000-22-20000002i−2i0000002i−2i00000−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30−1−i300001+i3−1−i31+i30000002ζ11−2ζ110000002ζ11−2ζ1100000−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30−1+i300001−i3−1+i31−i30000002ζ7−2ζ70000002ζ7−2ζ700000
χ1082-22-222-222-2-2-2020000-22-2000000−2i2i000000−2i2i00000−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30−1−i300001+i3−1−i31+i3000000−2ζ112ζ11000000−2ζ112ζ1100000−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30−1+i300001−i3−1+i31−i3000000−2ζ72ζ7000000−2ζ72ζ700000
χ1092-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i3002i−2i000000−ii3−3000−1−i31+i3−1−i31+i3−1−i31+i321+i31+i32−1−i31+i3−1−i32−1−i3201+i3200−3+i323−i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i32002ζ11−2ζ11000000−ζ11ζ112ζ7+ζ11−2ζ7−ζ11000−1+i31−i3−1+i31−i3−1+i31−i321−i31−i32−1+i31−i3−1+i32−1+i3201−i32003+i32−3−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i32002ζ7−2ζ7000000−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11000
χ1102-22-22-1-2-12-2110-100−i3i31-11−i3i3−i3i300−2i2i000000i−i−33000−1−i31+i3−1−i31+i3−1−i31+i321+i31+i32−1−i31+i3−1−i32−1−i3201+i3200−3+i323−i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i3200−2ζ112ζ11000000ζ11−ζ11−2ζ7−ζ112ζ7+ζ11000−1+i31−i3−1+i31−i3−1+i31−i321−i31−i32−1+i31−i3−1+i32−1+i3201−i32003+i32−3−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i3200−2ζ72ζ7000000ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11000
χ1112-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i3002i−2i000000−ii−33000−1−i31+i3−1−i31+i3−1−i31+i321+i31+i32−1−i31+i3−1−i32−1−i3201+i32003−i32−3+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i32002ζ11−2ζ11000000−ζ11ζ11−2ζ7−ζ112ζ7+ζ11000−1+i31−i3−1+i31−i3−1+i31−i321−i31−i32−1+i31−i3−1+i32−1+i3201−i3200−3−i323+i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i32002ζ7−2ζ7000000−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11000
χ1122-22-22-1-2-12-2110-100i3−i31-11i3−i3i3−i300−2i2i000000i−i3−3000−1−i31+i3−1−i31+i3−1−i31+i321+i31+i32−1−i31+i3−1−i32−1−i3201+i32003−i32−3+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i3200−2ζ112ζ11000000ζ11−ζ112ζ7+ζ11−2ζ7−ζ11000−1+i31−i3−1+i31−i3−1+i31−i321−i31−i32−1+i31−i3−1+i32−1+i3201−i3200−3−i323+i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i3200−2ζ72ζ7000000ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11000
χ1132-2-2222-2-2-22-22020000-2-220000000000000000002-20−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30−1−i300001+i31+i3−1−i3000000000000000000−1−i31+i30−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30−1+i300001−i31−i3−1+i3000000000000000000−1+i31−i30
χ1142-2-2222-2-2-22-22020000-2-22000000000000000000-220−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30−1−i300001+i31+i3−1−i30000000000000000001+i3−1−i30−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30−1+i300001−i31−i3−1+i30000000000000000001−i3−1+i30
χ1154444-2-2-2-2-2-2-2-241-2-2-2-2111111100000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000000
χ1164444-2-2-2-2-2-2-2-2-412222111-1-1-1-100000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i32+2i3−1−i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i32−2i3−1+i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000000
χ11744-4-44-242-4-4-220-20000-222000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−2−2i3−1−i32+2i32+2i31+i3−1−i301+i300001+i3−1−i3−1−i3000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−2+2i3−1+i32−2i32−2i31−i3−1+i301−i300001−i3−1+i3−1+i3000000000000000000000
χ11844-4-4-2-2-2222-2201−2i32i3001-1-1i3i3−i3−i300000000000000000−2−2i3−2−2i32+2i32+2i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i30−1−i32−3+i33−i300−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000000000000−2+2i3−2+2i32−2i32−2i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i30−1+i323+i3−3−i300−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000000000000
χ11944-4-4-2-2-2222-22012i3−2i3001-1-1−i3−i3i3i300000000000000000−2−2i3−2−2i32+2i32+2i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i30−1−i323−i3−3+i300−1−i321+i321+i32−3+i32−3+i323−i323−i3200000000000000000−2+2i3−2+2i32−2i32−2i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i30−1+i32−3−i33+i300−1+i321−i321−i323+i323+i32−3−i32−3−i3200000000000000000
χ1204-44-4-2424-22-4-40-200002-22000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i3−1−i3−2−2i31+i3−1−i32+2i32+2i301+i30000−1−i31+i3−1−i3000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i3−1+i3−2+2i31−i3−1+i32−2i32−2i301−i30000−1+i31−i3−1+i3000000000000000000000
χ1214-44-4-2-22-2-22220100−2i32i3-11-1i3−i3i3−i300000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i3200−3+i33−i31+i32−1−i321+i323−i32−3+i323−i32−3+i3200000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i32003+i3−3−i31−i32−1+i321−i32−3−i323+i32−3−i323+i3200000000000000000
χ1224-44-4-2-22-2-222201002i3−2i3-11-1−i3i3−i3i300000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i30−1−i32003−i3−3+i31+i32−1−i321+i32−3+i323−i32−3+i323−i3200000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i30−1+i3200−3−i33+i31−i32−1+i321−i323+i32−3−i323+i32−3−i3200000000000000000
χ1234-4-444-2-42-442-20-2000022-2000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i32+2i3−1−i32+2i3−2−2i3−1−i31+i301+i30000−1−i3−1−i31+i3000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i32−2i3−1+i32−2i3−2+2i3−1+i31−i301−i30000−1+i3−1+i31−i3000000000000000000000
χ1244-4-44-242-42-2-440-2000022-2000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i3−1−i32+2i3−1−i31+i32+2i3−2−2i301+i30000−1−i3−1−i31+i3000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i3−1+i32−2i3−1+i31−i32−2i3−2+2i301−i30000−1+i3−1+i31−i3000000000000000000000
χ1254-4-44-2-2222-22-2010000-1-113-3-3300000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i30−1−i3200001+i321+i32−1−i32−3−3i323+3i323+3i32−3−3i3200000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i30−1+i3200001−i321−i32−1+i32−3+3i323−3i323−3i32−3+3i3200000000000000000
χ1264-4-44-2-2222-22-2010000-1-11-333-300000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i30−1−i3200001+i321+i32−1−i323+3i32−3−3i32−3−3i323+3i3200000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i30−1+i3200001−i321−i32−1+i323−3i32−3+3i32−3+3i323−3i3200000000000000000

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