Finite Group Databasebeta

← Group #13172269

Character table — Group #13172269

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222224444444444446666666666666688889999121212121212121212121212121212121212121218181818181818183636363654541111222222222222444444444444666666666666668888999912121212121212121212121212121212121212121818181818181818363636365454
order122233366666666633366666666644444412121212121212123666444412121212121212121212121212121212121212124444121212121212121244222266666666666666666666666644444412121212121212126666444412121212121212121212121212121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−ii−i1-1ii−i−i11-1-111-1-1ii−i−i1-1i−ii−ii−iii−i−iii−i−i11-1-1i−i1-1ii−i−i1-1i−i1-11-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−ii−i1-1ii−i−i11-1-111-1-1ii−i−i1-1i−ii−ii−iii−i−iii−i−i11-1-1i−i1-1ii−i−i1-1i−i1-1
χ101-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−ii−i-11ii−i−i-1-11111-1-1−i−iii-11i−ii−ii−iii−i−iii−i−i-1-111−ii1-1−i−iii1-1−ii-111-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−ii−i-11ii−i−i-1-11111-1-1−i−iii-11i−ii−ii−iii−i−iii−i−i-1-111−ii1-1−i−iii1-1−ii-11
χ111-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−i−ii1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i−ii−iiii−i−i−i−iii11-1-1−ii-11ii−i−i-11−ii-111-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−i−ii1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i−ii−iiii−i−i−i−iii11-1-1−ii-11ii−i−i-11−ii-11
χ121-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−i−ii-11ii−i−i-1-11111-1-1−i−iii-11i−i−ii−iiii−i−i−i−iii-1-111i−i-11−i−iii-11i−i1-11-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1i−i−ii-11ii−i−i-1-11111-1-1−i−iii-11i−i−ii−iiii−i−i−i−iii-1-111i−i-11−i−iii-11i−i1-1
χ131-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−iii−i1-1−i−iii11-1-111-1-1−i−iii1-1−iii−ii−i−i−iiiii−i−i11-1-1i−i-11−i−iii-11i−i-111-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−iii−i1-1−i−iii11-1-111-1-1−i−iii1-1−iii−ii−i−i−iiiii−i−i11-1-1i−i-11−i−iii-11i−i-11
χ141-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−iii−i-11−i−iii-1-11111-1-1ii−i−i-11−iii−ii−i−i−iiiii−i−i-1-111−ii-11ii−i−i-11−ii1-11-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−iii−i-11−i−iii-1-11111-1-1ii−i−i-11−iii−ii−i−i−iiiii−i−i-1-111−ii-11ii−i−i-11−ii1-1
χ151-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−ii−ii1-1−i−iii11-1-111-1-1−i−iii1-1−ii−ii−ii−i−iii−i−iii11-1-1−ii1-1−i−iii1-1−ii1-11-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−ii−ii1-1−i−iii11-1-111-1-1−i−iii1-1−ii−ii−ii−i−iii−i−iii11-1-1−ii1-1−i−iii1-1−ii1-1
χ161-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−ii−ii-11−i−iii-1-11111-1-1ii−i−i-11−ii−ii−ii−i−iii−i−iii-1-111i−i1-1ii−i−i1-1i−i-111-1-11111-1-111-1-11-1-111111-1-1-1-11-1-1−ii−ii-11−i−iii-1-11111-1-1ii−i−i-11−ii−ii−ii−i−iii−i−iii-1-111i−i1-1ii−i−i1-1i−i-11
χ17222222-1222-1-122-122-1-12-12-1-1-1-12-1220022-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-10000-1-1-1-10000-1-1-1-1000000222222-1222-1-122-122-1-12-12-1-1-1-12-1220022-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-10000-1-1-1-10000-1-1-1-1000000
χ18222222-1222-1-122-122-1-12-12-1-1-1-12-12200-2-2-1-1-1-11111-1-1-1-1-2-2-2-2-2-2220000-1-1-1-10000111100001111000000222222-1222-1-122-122-1-12-12-1-1-1-12-12200-2-2-1-1-1-11111-1-1-1-1-2-2-2-2-2-2220000-1-1-1-10000111100001111000000
χ19222222-1222-1-122-122-1-12-12-1-1-1-12-1-2-200221111-1-1-1-1-1-1-1-1-2-2-2-222-2-2000011110000-1-1-1-100001111000000222222-1222-1-122-122-1-12-12-1-1-1-12-1-2-200221111-1-1-1-1-1-1-1-1-2-2-2-222-2-2000011110000-1-1-1-100001111000000
χ20222222-1222-1-122-122-1-12-12-1-1-1-12-1-2-200-2-211111111-1-1-1-12222-2-2-2-200001111000011110000-1-1-1-1000000222222-1222-1-122-122-1-12-12-1-1-1-12-1-2-200-2-211111111-1-1-1-12222-2-2-2-200001111000011110000-1-1-1-1000000
χ2122222-122-1222-1-122-12-1-1-1-122-12-1-122220022220000-1-1-1-1000000-1-1-1-122-1-1-1-1-1-1-1-1000000220000-1-1000022222-122-1222-1-122-12-1-1-1-122-12-1-122220022220000-1-1-1-1000000-1-1-1-122-1-1-1-1-1-1-1-1000000220000-1-10000
χ2222222-122-1222-1-122-12-1-1-1-122-12-1-122-2-20022220000-1-1-1-1000000-1-111-2-2-1-1-1-11111000000-2-2000011000022222-122-1222-1-122-12-1-1-1-122-12-1-122-2-20022220000-1-1-1-1000000-1-111-2-2-1-1-1-11111000000-2-20000110000
χ2322222-122-1222-1-122-12-1-1-1-122-12-1-1-2-22200-2-2-2-20000-1-1-1-100000011-1-1221111-1-1-1-1000000-2-2000011000022222-122-1222-1-122-12-1-1-1-122-12-1-1-2-22200-2-2-2-20000-1-1-1-100000011-1-1221111-1-1-1-1000000-2-20000110000
χ2422222-122-1222-1-122-12-1-1-1-122-12-1-1-2-2-2-200-2-2-2-20000-1-1-1-10000001111-2-211111111000000220000-1-1000022222-122-1222-1-122-12-1-1-1-122-12-1-1-2-2-2-200-2-2-2-20000-1-1-1-10000001111-2-211111111000000220000-1-10000
χ252222-122-12-122222-1-1-12-12-1-1-12-1-1200222200002222-1-1-1-10000-1-10022-1-10000-1-1-1-1-1-1-1-12200000000-1-1002222-122-12-122222-1-1-12-12-1-1-12-1-1200222200002222-1-1-1-10000-1-10022-1-10000-1-1-1-1-1-1-1-12200000000-1-100
χ262222-122-12-122222-1-1-12-12-1-1-12-1-120022-2-20000-2-2-2-2-1-1-1-10000110022-1-10000-1-1-1-11111-2-20000000011002222-122-12-122222-1-1-12-12-1-1-12-1-120022-2-20000-2-2-2-2-1-1-1-10000110022-1-10000-1-1-1-11111-2-2000000001100
χ272222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-22200002222-1-1-1-10000-1-100-2-21100001111-1-1-1-1-2-20000000011002222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-22200002222-1-1-1-10000-1-100-2-21100001111-1-1-1-1-2-2000000001100
χ282222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2-2-20000-2-2-2-2-1-1-1-100001100-2-2110000111111112200000000-1-1002222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2-2-20000-2-2-2-2-1-1-1-100001100-2-2110000111111112200000000-1-100
χ2922-2-222222-2-2-2-2-22-2222-2-222-22-2-2-2000000000000002-22-22-22-20000000000000000000000002-22-200000022-2-222222-2-2-2-2-22-2222-2-222-22-2-2-2000000000000002-22-22-22-20000000000000000000000002-22-2000000
χ3022-2-222222-2-2-2-2-22-2222-2-222-22-2-2-2000000000000002-22-2-22-22000000000000000000000000-22-2200000022-2-222222-2-2-2-2-22-2222-2-222-22-2-2-2000000000000002-22-2-22-22000000000000000000000000-22-22000000
χ3122-2-222-122-211-2-2-1-22-1-1-212-11-11-210000003−33−33−33−3-11-112-22-2000000003−33−300003−33−30000-11-1100000022-2-222-122-211-2-2-1-22-1-1-212-11-11-210000003−33−33−33−3-11-112-22-2000000003−33−300003−33−30000-11-11000000
χ3222-2-222-122-211-2-2-1-22-1-1-212-11-11-210000003−33−3−33−33-11-11-22-22000000003−33−30000−33−3300001-11-100000022-2-222-122-211-2-2-1-22-1-1-212-11-11-210000003−33−3−33−33-11-11-22-22000000003−33−30000−33−3300001-11-1000000
χ3322-2-222-122-211-2-2-1-22-1-1-212-11-11-21000000−33−333−33−3-11-11-22-2200000000−33−3300003−33−300001-11-100000022-2-222-122-211-2-2-1-22-1-1-212-11-11-21000000−33−333−33−3-11-11-22-2200000000−33−3300003−33−300001-11-1000000
χ3422-2-222-122-211-2-2-1-22-1-1-212-11-11-21000000−33−33−33−33-11-112-22-200000000−33−330000−33−330000-11-1100000022-2-222-122-211-2-2-1-22-1-1-212-11-11-21000000−33−33−33−33-11-112-22-200000000−33−330000−33−330000-11-11000000
χ352-22-2222-2-2-2-222-2-22222-2-2-2-22-2-222000000000000002-2-222i−2i−2i2i0000000000000000000000002i−2i−2i2i0000002-22-2222-2-2-2-222-2-22222-2-2-2-22-2-222000000000000002-2-222i−2i−2i2i0000000000000000000000002i−2i−2i2i000000
χ362-22-2222-2-2-2-222-2-22222-2-2-2-22-2-222000000000000002-2-22−2i2i2i−2i000000000000000000000000−2i2i2i−2i0000002-22-2222-2-2-2-222-2-22222-2-2-2-22-2-222000000000000002-2-22−2i2i2i−2i000000000000000000000000−2i2i2i−2i000000
χ372-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000−i3i3i3−i33−3−33-111-1−2i2i2i−2i00000000−i3i3i3−i300003−3−330000i−i−ii0000002-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000−i3i3i3−i33−3−33-111-1−2i2i2i−2i00000000−i3i3i3−i300003−3−330000i−i−ii000000
χ382-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000−i3i3i3−i3−333−3-111-12i−2i−2i2i00000000−i3i3i3−i30000−333−30000−iii−i0000002-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000−i3i3i3−i3−333−3-111-12i−2i−2i2i00000000−i3i3i3−i30000−333−30000−iii−i000000
χ392-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000i3−i3−i3i33−3−33-111-12i−2i−2i2i00000000i3−i3−i3i300003−3−330000−iii−i0000002-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000i3−i3−i3i33−3−33-111-12i−2i−2i2i00000000i3−i3−i3i300003−3−330000−iii−i000000
χ402-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000i3−i3−i3i3−333−3-111-1−2i2i2i−2i00000000i3−i3−i3i30000−333−30000i−i−ii0000002-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000i3−i3−i3i3−333−3-111-1−2i2i2i−2i00000000i3−i3−i3i30000−333−30000i−i−ii000000
χ412-2-2222-1-2-22-11-221-22-1-12-1-2111-1-212i−2i002-2−i−iii-1-111-1-1112i2i−2i−2i2-22i−2i0000−i−iii0000-1-1110000−i−iii0000002-2-2222-1-2-22-11-221-22-1-12-1-2111-1-212i−2i002-2−i−iii-1-111-1-1112i2i−2i−2i2-22i−2i0000−i−iii0000-1-1110000−i−iii000000
χ422-2-2222-1-2-22-11-221-22-1-12-1-2111-1-212i−2i00-22−i−iii11-1-1-1-111−2i−2i2i2i-222i−2i0000−i−iii000011-1-10000ii−i−i0000002-2-2222-1-2-22-11-221-22-1-12-1-2111-1-212i−2i00-22−i−iii11-1-1-1-111−2i−2i2i2i-222i−2i0000−i−iii000011-1-10000ii−i−i000000
χ432-2-2222-1-2-22-11-221-22-1-12-1-2111-1-21−2i2i002-2ii−i−i-1-111-1-111−2i−2i2i2i2-2−2i2i0000ii−i−i0000-1-1110000ii−i−i0000002-2-2222-1-2-22-11-221-22-1-12-1-2111-1-21−2i2i002-2ii−i−i-1-111-1-111−2i−2i2i2i2-2−2i2i0000ii−i−i0000-1-1110000ii−i−i000000
χ442-2-2222-1-2-22-11-221-22-1-12-1-2111-1-21−2i2i00-22ii−i−i11-1-1-1-1112i2i−2i−2i-22−2i2i0000ii−i−i000011-1-10000−i−iii0000002-2-2222-1-2-22-11-221-22-1-12-1-2111-1-21−2i2i00-22ii−i−i11-1-1-1-1112i2i−2i−2i-22−2i2i0000ii−i−i000011-1-10000−i−iii000000
χ452-2-222-12-2122-21-1-2-2-12-1-1-11-2-212112i−2i2i−2i002i2i−2i−2i0000-1-111000000−ii−ii2i−2i−i−iii−i−iii0000002-20000-1100002-2-222-12-2122-21-1-2-2-12-1-1-11-2-212112i−2i2i−2i002i2i−2i−2i0000-1-111000000−ii−ii2i−2i−i−iii−i−iii0000002-20000-110000
χ462-2-222-12-2122-21-1-2-2-12-1-1-11-2-212112i−2i−2i2i002i2i−2i−2i0000-1-111000000−iii−i−2i2i−i−iiiii−i−i000000-2200001-100002-2-222-12-2122-21-1-2-2-12-1-1-11-2-212112i−2i−2i2i002i2i−2i−2i0000-1-111000000−iii−i−2i2i−i−iiiii−i−i000000-2200001-10000
χ472-2-222-12-2122-21-1-2-2-12-1-1-11-2-21211−2i2i2i−2i00−2i−2i2i2i0000-1-111000000i−i−ii2i−2iii−i−i−i−iii000000-2200001-100002-2-222-12-2122-21-1-2-2-12-1-1-11-2-21211−2i2i2i−2i00−2i−2i2i2i0000-1-111000000i−i−ii2i−2iii−i−i−i−iii000000-2200001-10000
χ482-2-222-12-2122-21-1-2-2-12-1-1-11-2-21211−2i2i−2i2i00−2i−2i2i2i0000-1-111000000i−ii−i−2i2iii−i−iii−i−i0000002-20000-1100002-2-222-12-2122-21-1-2-2-12-1-1-11-2-21211−2i2i−2i2i00−2i−2i2i2i0000-1-111000000i−ii−i−2i2iii−i−iii−i−i0000002-20000-110000
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χ1092222-122-12-122222-1-1-12-12-1-1-12-1-1200222200002222-1-1-1-10000-1-10022-1-10000-1-1-1-1-1-1-1-12200000000-1-100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-200-2-2-2-20000-2-2-2-2111100001100-2-211000011111111-2-2000000001100
χ1102222-122-12-122222-1-1-12-12-1-1-12-1-120022-2-20000-2-2-2-2-1-1-1-10000110022-1-10000-1-1-1-11111-2-2000000001100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-200-2-2220000222211110000-1-100-2-21100001111-1-1-1-12200000000-1-100
χ1112222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-22200002222-1-1-1-10000-1-100-2-21100001111-1-1-1-1-2-2000000001100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-20022-2-20000-2-2-2-211110000110022-1-10000-1-1-1-111112200000000-1-100
χ1122222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2-2-20000-2-2-2-2-1-1-1-100001100-2-2110000111111112200000000-1-100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-20022220000222211110000-1-10022-1-10000-1-1-1-1-1-1-1-1-2-2000000001100
χ11322-2-222222-2-2-2-2-22-2222-2-222-22-2-2-2000000000000002-22-22-22-20000000000000000000000002-22-2000000-2-222-2-2-2-2-222222-22-2-2-222-2-22-222200000000000000-22-22-22-22000000000000000000000000-22-22000000
χ11422-2-222222-2-2-2-2-22-2222-2-222-22-2-2-2000000000000002-22-2-22-22000000000000000000000000-22-22000000-2-222-2-2-2-2-222222-22-2-2-222-2-22-222200000000000000-22-222-22-20000000000000000000000002-22-2000000
χ11522-2-222-122-211-2-2-1-22-1-1-212-11-11-210000003−33−33−33−3-11-112-22-2000000003−33−300003−33−30000-11-11000000-2-222-2-21-2-22-1-12212-2112-1-21-11-12-1000000−33−33−33−331-11-1-22-2200000000−33−330000−33−3300001-11-1000000
χ11622-2-222-122-211-2-2-1-22-1-1-212-11-11-210000003−33−3−33−33-11-11-22-22000000003−33−30000−33−3300001-11-1000000-2-222-2-21-2-22-1-12212-2112-1-21-11-12-1000000−33−333−33−31-11-12-22-200000000−33−3300003−33−30000-11-11000000
χ11722-2-222-122-211-2-2-1-22-1-1-212-11-11-21000000−33−333−33−3-11-11-22-2200000000−33−3300003−33−300001-11-1000000-2-222-2-21-2-22-1-12212-2112-1-21-11-12-10000003−33−3−33−331-11-12-22-2000000003−33−30000−33−330000-11-11000000
χ11822-2-222-122-211-2-2-1-22-1-1-212-11-11-21000000−33−33−33−33-11-112-22-200000000−33−330000−33−330000-11-11000000-2-222-2-21-2-22-1-12212-2112-1-21-11-12-10000003−33−33−33−31-11-1-22-22000000003−33−300003−33−300001-11-1000000
χ1192-22-2222-2-2-2-222-2-22222-2-2-2-22-2-222000000000000002-2-222i−2i−2i2i0000000000000000000000002i−2i−2i2i000000-22-22-2-2-22222-2-222-2-2-2-22222-222-2-200000000000000-222-2−2i2i2i−2i000000000000000000000000−2i2i2i−2i000000
χ1202-22-2222-2-2-2-222-2-22222-2-2-2-22-2-222000000000000002-2-22−2i2i2i−2i000000000000000000000000−2i2i2i−2i000000-22-22-2-2-22222-2-222-2-2-2-22222-222-2-200000000000000-222-22i−2i−2i2i0000000000000000000000002i−2i−2i2i000000
χ1212-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000−i3i3i3−i33−3−33-111-1−2i2i2i−2i00000000−i3i3i3−i300003−3−330000i−i−ii000000-22-22-2-21222-11-22-1-2-2112-12-11-1-1-21000000i3−i3−i3i3−333−31-1-112i−2i−2i2i00000000i3−i3−i3i30000−333−30000−iii−i000000
χ1222-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000−i3i3i3−i3−333−3-111-12i−2i−2i2i00000000−i3i3i3−i30000−333−30000−iii−i000000-22-22-2-21222-11-22-1-2-2112-12-11-1-1-21000000i3−i3−i3i33−3−331-1-11−2i2i2i−2i00000000i3−i3−i3i300003−3−330000i−i−ii000000
χ1232-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000i3−i3−i3i33−3−33-111-12i−2i−2i2i00000000i3−i3−i3i300003−3−330000−iii−i000000-22-22-2-21222-11-22-1-2-2112-12-11-1-1-21000000−i3i3i3−i3−333−31-1-11−2i2i2i−2i00000000−i3i3i3−i30000−333−30000i−i−ii000000
χ1242-22-222-1-2-2-21-12-2122-1-1-21-21-1112-1000000i3−i3−i3i3−333−3-111-1−2i2i2i−2i00000000i3−i3−i3i30000−333−30000i−i−ii000000-22-22-2-21222-11-22-1-2-2112-12-11-1-1-21000000−i3i3i3−i33−3−331-1-112i−2i−2i2i00000000−i3i3i3−i300003−3−330000−iii−i000000
χ1252-2-2222-1-2-22-11-221-22-1-12-1-2111-1-212i−2i002-2−i−iii-1-111-1-1112i2i−2i−2i2-22i−2i0000−i−iii0000-1-1110000−i−iii000000-222-2-2-2122-21-12-2-12-211-212-1-1-112-1−2i2i00-22ii−i−i11-1-111-1-1−2i−2i2i2i-22−2i2i0000ii−i−i000011-1-10000ii−i−i000000
χ1262-2-2222-1-2-22-11-221-22-1-12-1-2111-1-212i−2i00-22−i−iii11-1-1-1-111−2i−2i2i2i-222i−2i0000−i−iii000011-1-10000ii−i−i000000-222-2-2-2122-21-12-2-12-211-212-1-1-112-1−2i2i002-2ii−i−i-1-11111-1-12i2i−2i−2i2-2−2i2i0000ii−i−i0000-1-1110000−i−iii000000
χ1272-2-2222-1-2-22-11-221-22-1-12-1-2111-1-21−2i2i002-2ii−i−i-1-111-1-111−2i−2i2i2i2-2−2i2i0000ii−i−i0000-1-1110000ii−i−i000000-222-2-2-2122-21-12-2-12-211-212-1-1-112-12i−2i00-22−i−iii11-1-111-1-12i2i−2i−2i-222i−2i0000−i−iii000011-1-10000−i−iii000000
χ1282-2-2222-1-2-22-11-221-22-1-12-1-2111-1-21−2i2i00-22ii−i−i11-1-1-1-1112i2i−2i−2i-22−2i2i0000ii−i−i000011-1-10000−i−iii000000-222-2-2-2122-21-12-2-12-211-212-1-1-112-12i−2i002-2−i−iii-1-11111-1-1−2i−2i2i2i2-22i−2i0000−i−iii0000-1-1110000ii−i−i000000
χ1292-2-222-12-2122-21-1-2-2-12-1-1-11-2-212112i−2i2i−2i002i2i−2i−2i0000-1-111000000−ii−ii2i−2i−i−iii−i−iii0000002-20000-110000-222-2-21-22-1-2-22-11221-2111-122-1-2-1-1−2i2i−2i2i00−2i−2i2i2i000011-1-1000000i−ii−i−2i2iii−i−iii−i−i000000-2200001-10000
χ1302-2-222-12-2122-21-1-2-2-12-1-1-11-2-212112i−2i−2i2i002i2i−2i−2i0000-1-111000000−iii−i−2i2i−i−iiiii−i−i000000-2200001-10000-222-2-21-22-1-2-22-11221-2111-122-1-2-1-1−2i2i2i−2i00−2i−2i2i2i000011-1-1000000i−i−ii2i−2iii−i−i−i−iii0000002-20000-110000
χ1312-2-222-12-2122-21-1-2-2-12-1-1-11-2-21211−2i2i2i−2i00−2i−2i2i2i0000-1-111000000i−i−ii2i−2iii−i−i−i−iii000000-2200001-10000-222-2-21-22-1-2-22-11221-2111-122-1-2-1-12i−2i−2i2i002i2i−2i−2i000011-1-1000000−iii−i−2i2i−i−iiiii−i−i0000002-20000-110000
χ1322-2-222-12-2122-21-1-2-2-12-1-1-11-2-21211−2i2i−2i2i00−2i−2i2i2i0000-1-111000000i−ii−i−2i2iii−i−iii−i−i0000002-20000-110000-222-2-21-22-1-2-22-11221-2111-122-1-2-1-12i−2i2i−2i002i2i−2i−2i000011-1-1000000−ii−ii2i−2i−i−iii−i−iii000000-2200001-10000
χ1332-2-22-1221-2-12-2-22-21-1-12-12111-2-11-2002i−2i2-2000022-2-2-1-1110000-11002i−2i−ii0000−i−iii-1-1112i−2i00000000−ii00-222-21-2-2-121-222-22-111-21-2-1-1-121-1200−2i2i-220000-2-22211-1-100001-100−2i2ii−i0000ii−i−i11-1-1−2i2i00000000i−i00
χ1342-2-22-1221-2-12-2-22-21-1-12-12111-2-11-2002i−2i-220000-2-222-1-11100001-1002i−2i−ii0000−i−iii11-1-1−2i2i00000000i−i00-222-21-2-2-121-222-22-111-21-2-1-1-121-1200−2i2i2-2000022-2-211-1-10000-1100−2i2ii−i0000ii−i−i-1-1112i−2i00000000−ii00
χ1352-2-22-1221-2-12-2-22-21-1-12-12111-2-11-200−2i2i2-2000022-2-2-1-1110000-1100−2i2ii−i0000ii−i−i-1-111−2i2i00000000i−i00-222-21-2-2-121-222-22-111-21-2-1-1-121-12002i−2i-220000-2-22211-1-100001-1002i−2i−ii0000−i−iii11-1-12i−2i00000000−ii00
χ1362-2-22-1221-2-12-2-22-21-1-12-12111-2-11-200−2i2i-220000-2-222-1-11100001-100−2i2ii−i0000ii−i−i11-1-12i−2i00000000−ii00-222-21-2-2-121-222-22-111-21-2-1-1-121-12002i−2i2-2000022-2-211-1-10000-11002i−2i−ii0000−i−iii-1-111−2i2i00000000i−i00
χ13744444-2-24-24-2-2-2-2-24-2-21-21-2-2-21-2-21440000-2-2-2-200001111000000-2-2000011110000000000000000000000-4-4-4-4-422-42-422222-422-12-1222-122-1-4-4000022220000-1-1-1-1000000220000-1-1-1-10000000000000000000000
χ13844444-2-24-24-2-2-2-2-24-2-21-21-2-2-21-2-21-4-40000222200001111000000220000-1-1-1-10000000000000000000000-4-4-4-4-422-42-422222-422-12-1222-122-1440000-2-2-2-20000-1-1-1-1000000-2-2000011110000000000000000000000
χ1394444-24-2-24-2-2-244-2-2-21-2-2-2-211-21-2-20000440000-2-2-2-211110000-2-200000000000000111100000000000000-4-4-4-42-422-4222-4-4222-12222-1-12-1220000-4-400002222-1-1-1-100002200000000000000-1-1-1-100000000000000
χ1404444-24-2-24-2-2-244-2-2-21-2-2-2-211-21-2-20000-4-400002222111100002200000000000000-1-1-1-100000000000000-4-4-4-42-422-4222-4-4222-12222-1-12-1220000440000-2-2-2-2-1-1-1-10000-2-200000000000000111100000000000000
χ1414444-2-24-2-2-244-2-24-21-2-21-21-2-2-2-21-200440000000000111100000000-2-2-2-200001111000000000000000000-4-4-4-422-4222-4-422-42-122-12-12222-1200-4-40000000000-1-1-1-10000000022220000-1-1-1-1000000000000000000
χ1424444-2-24-2-2-244-2-24-21-2-21-21-2-2-2-21-200-4-4000000000011110000000022220000-1-1-1-1000000000000000000-4-4-4-422-4222-4-422-42-122-12-12222-1200440000000000-1-1-1-100000000-2-2-2-200001111000000000000000000
χ14344-4-44-244-2-4-4-4224-4-24-222-24-4-2-42200000000000000-22-2200000000000000000000000000000000000000-4-444-42-4-42444-2-2-442-42-2-22-4424-2-2000000000000002-22-200000000000000000000000000000000000000
χ14444-4-44-2-24-2-42222-2-4-2-212-1-2-22122-100000023−2323−2300001-11-1000000000000−33−330000000000000000000000-4-444-422-424-2-2-2-22422-1-2122-2-1-2-21000000−2323−23230000-11-110000000000003−33−30000000000000000000000
χ14544-4-44-2-24-2-42222-2-4-2-212-1-2-22122-1000000−2323−232300001-11-10000000000003−33−30000000000000000000000-4-444-422-424-2-2-2-22422-1-2122-2-1-2-2100000023−2323−230000-11-11000000000000−33−330000000000000000000000
χ14644-4-4-244-242-4-4-4-442-2-242-4-2-22422-400000000000000-22-2200000000000000000000000000000000000000-4-4442-4-42-4-24444-4-222-4-2422-2-4-2-24000000000000002-22-200000000000000000000000000000000000000
χ14744-4-4-24-2-24222-4-4-22-21-222-21-1-2-122000000000023−2323−231-11-100000000000000000000−33−3300000000000000-4-4442-422-4-2-2-2442-22-12-2-22-1121-2-20000000000−2323−2323-11-11000000000000000000003−33−300000000000000
χ14844-4-4-24-2-24222-4-4-22-21-222-21-1-2-1220000000000−2323−23231-11-1000000000000000000003−33−300000000000000-4-4442-422-4-2-2-2442-22-12-2-22-1121-2-2000000000023−2323−23-11-1100000000000000000000−33−3300000000000000
χ14944-4-4-2-24-2-22-4-422421-2-2-121-22-22-12000000000000001-11-100000000000000003i−3i3i−3i000000000000000000-4-44422-422-244-2-2-4-2-1221-2-12-22-21-200000000000000-11-110000000000000000−3i3i−3i3i000000000000000000
χ15044-4-4-2-24-2-22-4-422421-2-2-121-22-22-12000000000000001-11-10000000000000000−3i3i−3i3i000000000000000000-4-44422-422-244-2-2-4-2-1221-2-12-22-21-200000000000000-11-1100000000000000003i−3i3i−3i000000000000000000
χ1514-44-44-24-42-4-44-22-44-24-2222-442-4-2-200000000000000-222-200000000000000000000000000000000000000-44-44-42-44-244-42-24-42-42-2-2-24-4-2422000000000000002-2-2200000000000000000000000000000000000000
χ1524-44-44-2-2-42-42-2-2224-2-212-122-2-12-21000000−2i32i32i3−2i300001-1-11000000000000i3−i3−i3i30000000000000000000000-44-44-4224-24-222-2-2-422-1-21-2-221-22-10000002i3−2i3−2i32i30000-111-1000000000000−i3i3i3−i30000000000000000000000
χ1534-44-44-2-2-42-42-2-2224-2-212-122-2-12-210000002i3−2i3−2i32i300001-1-11000000000000−i3i3i3−i30000000000000000000000-44-44-4224-24-222-2-2-422-1-21-2-221-22-1000000−2i32i32i3−2i30000-111-1000000000000i3−i3−i3i30000000000000000000000
χ1544-44-4-2442-42-444-4-4-2-2-242-422-2-42-2400000000000000-222-200000000000000000000000000000000000000-44-442-4-4-24-24-4-444222-4-24-2-224-22-4000000000000002-2-2200000000000000000000000000000000000000
χ1554-44-4-24-22-422-24-42-2-21-2222-112-1-2-2000000000023−23−23231-1-1100000000000000000000−333−300000000000000-44-442-42-24-2-22-44-222-12-2-2-21-1-21220000000000−232323−23-111-1000000000000000000003−3−3300000000000000
χ1564-44-4-24-22-422-24-42-2-21-2222-112-1-2-20000000000−232323−231-1-11000000000000000000003−3−3300000000000000-44-442-42-24-2-22-44-222-12-2-2-21-1-2122000000000023−23−2323-111-100000000000000000000−333−300000000000000
χ1574-44-4-2-24222-44-22-4-21-2-2-12-12-2221-2000000000000001-1-1100000000000000003-3-33000000000000000000-44-4422-4-2-2-24-42-242-1221-21-22-2-2-1200000000000000-111-10000000000000000-333-3000000000000000000
χ1584-44-4-2-24222-44-22-4-21-2-2-12-12-2221-2000000000000001-1-110000000000000000-333-3000000000000000000-44-4422-4-2-2-24-42-242-1221-21-22-2-2-1200000000000000-111-100000000000000003-3-33000000000000000000
χ1594-4-444-2-2-424-222-22-4-2-21-21222-1-22-14i−4i0000−2i−2i2i2i000011-1-1000000−2i2i0000ii−i−i0000000000000000000000-444-4-4224-2-42-2-22-2422-12-1-2-2-212-21−4i4i00002i2i−2i−2i0000-1-1110000002i−2i0000−i−iii0000000000000000000000
χ1604-4-444-2-2-424-222-22-4-2-21-21222-1-22-1−4i4i00002i2i−2i−2i000011-1-10000002i−2i0000−i−iii0000000000000000000000-444-4-4224-2-42-2-22-2422-12-1-2-2-212-214i−4i0000−2i−2i2i2i0000-1-111000000−2i2i0000ii−i−i0000000000000000000000
χ1614-4-44-24-22-4-2-22-4422-21-2-2-22-1-1212200004-40000-2-22211-1-10000-220000000000000011-1-100000000000000-444-42-42-2422-24-4-2-22-1222-211-2-1-2-20000-44000022-2-2-1-11100002-200000000000000-1-11100000000000000
χ1624-4-44-24-22-4-2-22-4422-21-2-2-22-1-121220000-44000022-2-211-1-100002-200000000000000-1-11100000000000000-444-42-42-2422-24-4-2-22-1222-211-2-1-2-200004-40000-2-222-1-1110000-220000000000000011-1-100000000000000
χ1634-4-44-2-2422-24-42-2-421-2-21-2-1222-2-12004i−4i000000000011-1-100000000−2i2i−2i2i0000ii−i−i000000000000000000-444-422-4-2-22-44-224-2-122-121-2-2-221-200−4i4i0000000000-1-111000000002i−2i2i−2i0000−i−iii000000000000000000
χ1644-4-44-2-2422-24-42-2-421-2-21-2-1222-2-1200−4i4i000000000011-1-1000000002i−2i2i−2i0000−i−iii000000000000000000-444-422-4-2-22-44-224-2-122-121-2-2-221-2004i−4i0000000000-1-11100000000−2i2i−2i2i0000ii−i−i000000000000000000
χ1658888-4-4-4-4-4-4-4-4-4-4-4-422222222222200000000000000-1-1-1-100000000000000000000000000000000000000-8-8-8-8444444444444-2-2-2-2-2-2-2-2-2-2-2-200000000000000111100000000000000000000000000000000000000
χ16688-8-8-4-4-4-4-444444-44222-2-222-22-2-2-200000000000000-11-1100000000000000000000000000000000000000-8-88844444-4-4-4-4-44-4-2-2-222-2-22-2222000000000000001-11-100000000000000000000000000000000000000
χ1678-88-8-4-4-44444-4-444-4222-2-2-2-22-2-22200000000000000-111-100000000000000000000000000000000000000-88-88444-4-4-4-444-4-44-2-2-22222-222-2-2000000000000001-1-1100000000000000000000000000000000000000
χ1688-8-88-4-4-444-4-444-44422222-2-2-2-22-2-200000000000000-1-11100000000000000000000000000000000000000-888-8444-4-444-4-44-4-4-2-2-2-2-22222-2220000000000000011-1-100000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).