Finite Group Databasebeta

← Group #13169375

Character table — Group #13169375

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order1222333446666666661212121233366666666612121212121212121212121244441212121236661212121212124444121212121212121212121212121212121212121212121212121212121212121212124444441212121212124441212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111-111-1-1-11-111-1-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1-1-1-111-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-111-1-111-1-1-111-1-1111-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1111-11-1-11111-1-1-111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-111-1-11-11-1-11111-1-1-11-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-11111-1-1-111-1-1111-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-111-1-1-1-1111-1-1-1-111-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-11-1-111-11-111-1-111-1-11-1-11
χ17222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000-1-1-1-1-1-1000022220000000000-1-1-1-1-1-1-1-122220022-1-1-1-10000000-1-1-1-10000
χ18222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2000-1-11111000022220000000000-1-1-1-1-1-1-1-1-2-2-2-200-2-21111000000011110000
χ19222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-21111-1-1-1-1-1-1-1-1-1-1-22200011-1-1-1-10000-2-2-2-2000000000011111111-2-2-2-20022-1-1-1-1000000011110000
χ20222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-21111-1-1-1-1-1-1-1-1-1-1-2-2-20001111110000-2-2-2-2000000000011111111222200-2-211110000000-1-1-1-10000
χ21222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211110022-1-1-1-1-1-1-1-1111111-22-200011-1-111000022-2-20000000000-1-1-1-1111122-2-2002-2-1-1110000000-1-1110000
χ22222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211110022-1-1-1-1-1-1-1-1111111-2-220001111-1-1000022-2-20000000000-1-1-1-11111-2-22200-2211-1-1000000011-1-10000
χ23222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-21111-1-1-1-111111122-2000-1-1-1-1110000-2-22200000000001111-1-1-1-1-2-222002-2-1-111000000011-1-10000
χ24222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-21111-1-1-1-11111112-22000-1-111-1-10000-2-22200000000001111-1-1-1-122-2-200-2211-1-10000000-1-1110000
χ2522222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1200222220000-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022000000200-1-1-1-100000000
χ2622222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200222-2-20000-1-1-1-1111122-1-1-1-1-1-1-1-1111111110000-2-2000000-200111100000000
χ2722222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2222222-1-1-1-122-1-1-1-1200-2-2-22200001111-1-1-1-1-2-211111111-1-1-1-1-1-1-1-10000-2-2000000-200111100000000
χ2822222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200-2-2-2-2-2000011111111-2-21111111111111111000022000000200-1-1-1-100000000
χ2922222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-21111-200-2-2-2-2-20000-1-111-1-11122-1-1-1-11111-1-1-1-11111000022000000-200-1-11100000000
χ3022222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-21111111122-2-2-2-2-2-2-1-1-1-1-2-21111200-2-2-2220000-1-11111-1-122-1-1-1-111111111-1-1-1-10000-2-200000020011-1-100000000
χ3122222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-211111111-2-2222222-1-1-1-1-2-21111-200222-2-2000011-1-1-1-111-2-21111-1-1-1-1-1-1-1-111110000-2-200000020011-1-100000000
χ3222222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-2111120022222000011-1-111-1-1-2-21111-1-1-1-11111-1-1-1-1000022000000-200-1-11100000000
χ332222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222222000000-1-1-1-1-1-1-1-1-1-10222-1-100222222220000-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-102200000000-1-100
χ342222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222222000000-1-1-1-1-1-1-1-1-1-10-2-22-1-100-2-2-2-222220000-1-1-1-1-1-1-1-1-1-1000000000000001111110-2-2000000001100
χ352222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-12222-2-2000000-1-1-1-1-1-1-1-1-1-1022-211002222-2-2-2-20000111111111100000000000000-1-1-1-1-1-10-2-2000000001100
χ362222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-12222-2-2000000-1-1-1-1-1-1-1-1-1-10-2-2-21100-2-2-2-2-2-2-2-2000011111111110000000000000011111102200000000-1-100
χ372222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-222000000-1-1-1-111111102-2-2110022-2-222-2-20000-1-1-1-1-1-1111100000000000000-11-1-11102-200000000-1100
χ382222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-222000000-1-1-1-11111110-22-21100-2-22222-2-20000-1-1-1-1-1-11111000000000000001-111-1-10-22000000001-100
χ392222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-2-2-2000000-1-1-1-111111102-22-1-10022-2-2-2-2220000111111-1-1-1-100000000000000-11-1-1110-22000000001-100
χ402222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-2-2-2000000-1-1-1-11111110-222-1-100-2-222-2-2220000111111-1-1-1-1000000000000001-111-1-102-200000000-1100
χ4122-2-22222-222-2-2-2-2-22-222-2-2222-2222-2-2-2-2-22-22-222-2-222-2-2000000002-2-222-222-2-2000000000000000000000000000000000000002-22-20000000000000002-22-20000
χ4222-2-22222-222-2-2-2-2-22-222-2-2222-2222-2-2-2-2-22-22-222-2-222-2-2000000002-2-222-222-2-200000000000000000000000000000000000000-22-22000000000000000-22-220000
χ4322-2-2222-2222-2-2-2-2-22-2-2-222222-2222-2-2-2-2-2-22-22-2-222-2-222000000002-2-22-22-2-222000000000000000000000000000000000000002-2-220000000000000002-2-220000
χ4422-2-2222-2222-2-2-2-2-22-2-2-222222-2222-2-2-2-2-2-22-22-2-222-2-222000000002-2-22-22-2-22200000000000000000000000000000000000000-222-2000000000000000-222-20000
χ4522-2-222-12-222-211-2-2-1-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-111000033−3−3-111-1-11-1-1110000003−33−33−300000000000000000033−3−333−3−32-22-200003−33−30000000-11-110000
χ4622-2-222-12-222-211-2-2-1-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-111000033−3−3-111-1-11-1-1110000003−3−33−3300000000000000000033−3−333−3−3-22-220000−33−3300000001-11-10000
χ4722-2-222-12-222-211-2-2-1-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-1110000−3−333-111-1-11-1-111000000−333−33−3000000000000000000−3−333−3−333-22-2200003−33−300000001-11-10000
χ4822-2-222-12-222-211-2-2-1-222-2-22-1-112-1-1-2-21112-2-1122-2-2-1-1110000−3−333-111-1-11-1-111000000−33−33−33000000000000000000−3−333−3−3332-22-20000−33−330000000-11-110000
χ4922-2-222-1-2222-211-2-2-1-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-1000033−3−3-111-11-111-1-1000000−333−3−3300000000000000000033−3−3−3−3332-2-2200003−3−330000000-111-10000
χ5022-2-222-1-2222-211-2-2-1-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-1000033−3−3-111-11-111-1-1000000−33−333−300000000000000000033−3−3−3−333-222-20000−333−300000001-1-110000
χ5122-2-222-1-2222-211-2-2-1-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-10000−3−333-111-11-111-1-10000003−33−3−33000000000000000000−3−33333−3−3-222-200003−3−3300000001-1-110000
χ5222-2-222-1-2222-211-2-2-1-2-2-2222-1-112-1-1-2-2111-221-1-2-22211-1-10000−3−333-111-11-111-1-10000003−3−333−3000000000000000000−3−33333−3−32-2-220000−333−30000000-111-10000
χ532-22-222200-2-2-2-222-2-220000222-2-2-2-22-22-220000000000002-22i−2i2i−2i2i−2i22-2-20000000000000000002-2002i−2i002-222-2-200002i−2i2i−2i000000002i−2i0000000002i−2i0000000000
χ542-22-222200-2-2-2-222-2-220000222-2-2-2-22-22-220000000000002-2−2i2i−2i2i−2i2i22-2-20000000000000000002-200−2i2i002-222-2-20000−2i2i−2i2i00000000−2i2i000000000−2i2i0000000000
χ552-22-222200-2-2-2-222-2-220000222-2-2-2-22-22-22000000000000-222i−2i2i−2i2i−2i22-2-2000000000000000000-22002i−2i00-22-2-22200002i−2i2i−2i00000000−2i2i000000000−2i2i0000000000
χ562-22-222200-2-2-2-222-2-220000222-2-2-2-22-22-22000000000000-22−2i2i−2i2i−2i2i22-2-2000000000000000000-2200−2i2i00-22-2-2220000−2i2i−2i2i000000002i−2i0000000002i−2i0000000000
χ572-22-22-1200-21-2-22-11-223−33−3-12-1-21-21-11-11200003−33−33−33−32-22i−2i2i−2i2i−2i-1-111003−33−3000000000000-113−3−ii−i3i32-2-1-11133−3−3−ii−ii−i3i3−i3i300002i−2i000000000−ii−i3i300000000
χ582-22-22-1200-21-2-22-11-223−33−3-12-1-21-21-11-11200003−33−33−33−32-2−2i2i−2i2i−2i2i-1-111003−33−3000000000000-113−3i−ii3−i32-2-1-11133−3−3i−ii−ii3−i3i3−i30000−2i2i000000000i−ii3−i300000000
χ592-22-22-1200-21-2-22-11-223−33−3-12-1-21-21-11-11200003−33−33−33−3-222i−2i2i−2i2i−2i-1-111003−33−30000000000001-1−33−ii−i3i3-2211-1-1−3−333−ii−ii−i3i3−i3i30000−2i2i000000000i−ii3−i300000000
χ602-22-22-1200-21-2-22-11-223−33−3-12-1-21-21-11-11200003−33−33−33−3-22−2i2i−2i2i−2i2i-1-111003−33−30000000000001-1−33i−ii3−i3-2211-1-1−3−333i−ii−ii3−i3i3−i300002i−2i000000000−ii−i3i300000000
χ612-22-22-1200-21-2-22-11-22−33−33-12-1-21-21-11-1120000−33−33−33−332-22i−2i2i−2i2i−2i-1-11100−33−33000000000000-11−33−iii3−i32-2-1-111−3−333−ii−iii3−i3i3−i300002i−2i000000000−iii3−i300000000
χ622-22-22-1200-21-2-22-11-22−33−33-12-1-21-21-11-1120000−33−33−33−332-2−2i2i−2i2i−2i2i-1-11100−33−33000000000000-11−33i−i−i3i32-2-1-111−3−333i−ii−i−i3i3−i3i30000−2i2i000000000i−i−i3i300000000
χ632-22-22-1200-21-2-22-11-22−33−33-12-1-21-21-11-1120000−33−33−33−33-222i−2i2i−2i2i−2i-1-11100−33−330000000000001-13−3−iii3−i3-2211-1-133−3−3−ii−iii3−i3i3−i30000−2i2i000000000i−i−i3i300000000
χ642-22-22-1200-21-2-22-11-22−33−33-12-1-21-21-11-1120000−33−33−33−33-22−2i2i−2i2i−2i2i-1-11100−33−330000000000001-13−3i−i−i3i3-2211-1-133−3−3i−ii−i−i3i3−i3i300002i−2i000000000−iii3−i300000000
χ6544444-2-2444-24-2-2-2-2-24-2-2-2-2-2-21-2-2-21-2-211-244-2-2-2-2-2-211110044-2-2-2-21111-2-21111400000-2-200000000-2-2-2-2000000000011111111000000000000000000000000000
χ6644444-2-2444-24-2-2-2-2-24-2-2-2-2-2-21-2-2-21-2-211-244-2-2-2-2-2-2111100-4-422221111-2-21111-400000220000000022220000000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ6744444-2-2-4-44-24-2-2-2-2-242222-2-21-2-2-21-2-211-2-4-4222222-1-1-1-10044-2-2-2-2111122-1-1-1-1-4000002200000000-2-22200000000001111-1-1-1-1000000000000000000000000000
χ6844444-2-2-4-44-24-2-2-2-2-242222-2-21-2-2-21-2-211-2-4-4222222-1-1-1-100-4-42222111122-1-1-1-1400000-2-20000000022-2-20000000000-1-1-1-11111000000000000000000000000000
χ694444-24-244-24-2-2-244-2-24444-21-21-21-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200000000111111111104400000-2-2-2-200000000000000000000000000000000-2-21111000000000000000
χ704444-24-244-24-2-2-244-2-24444-21-21-21-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000000011111111110-4-40000022220000000000000000000000000000000022-1-1-1-1000000000000000
χ714444-24-2-4-4-24-2-2-244-2-2-4-4-4-4-21-21-21-2-2-2-2-21222222222222000000001111-1-1-1-1-1-104-400000-2-22200000000000000000000000000000000-2211-1-1000000000000000
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χ734444-2-2444-2-2-244-2-24-2-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-2440000001111-2-211110004-2-2000000-2-2-2-20000-2-21111111100000000000000000000000000000000000
χ744444-2-2444-2-2-244-2-24-2-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-2-4-40000001111-2-21111000-4220000002222000022-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ754444-2-24-4-4-2-2-244-2-24-222221-2-2-21-2-211-2-2-222-4-4-1-1-1-1222244000000111122-1-1-1-1000-422000000-2-2220000-2-21111-1-1-1-100000000000000000000000000000000000
χ764444-2-24-4-4-2-2-244-2-24-222221-2-2-21-2-211-2-2-222-4-4-1-1-1-12222-4-4000000111122-1-1-1-10004-2-200000022-2-2000022-1-1-1-1111100000000000000000000000000000000000
χ7744-4-44-244-44-2-4-4-4224-4-2-222-24-2-4-24-22222-44-44-4-2-222-2-22200000000-222-24-4-2-22200000000000000000000000000000000000000000000000000000000000000000
χ7844-4-44-24-444-2-4-4-4224-422-2-2-24-2-4-24-22222-4-44-4422-2-222-2-200000000-222-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000
χ7944-4-44-2-24-44-2-42222-2-4-2-222-2-212-2-2122-1-124-4-22-2-22211-1-100002323−23−231-1-11-2211-1-100000023−230000000000000000000000−3−333−3−333000000000000000000000000000
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χ8344-4-4-2444-4-242-4-4-4-44244-4-4-2-242-2-2422-4-42-224-4-2-22244-4-400000000-222-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-244-44-242-4-4-4-442-4-444-2-242-2-2422-4-422-2-4422-2-2-4-44400000000-222-22-222-2-200000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-24-24-4-24222-4-4-2244-4-4-21-2-1-21-22222-1-22-22-2-222-2-222000000001-1-111-111-1-10000000023−2323−230000000000000000000000000000000000−33−33000000000000000
χ8644-4-4-24-24-4-24222-4-4-2244-4-4-21-2-1-21-22222-1-22-22-2-222-2-222000000001-1-111-111-1-100000000−2323−232300000000000000000000000000000000003−33−3000000000000000
χ8744-4-4-24-2-44-24222-4-4-22-4-444-21-2-1-21-22222-12-22-222-2-222-2-2000000001-1-11-11-1-1110000000023−23−23230000000000000000000000000000000000−333−3000000000000000
χ8844-4-4-24-2-44-24222-4-4-22-4-444-21-2-1-21-22222-12-22-222-2-222-2-2000000001-1-11-11-1-11100000000−232323−2300000000000000000000000000000000003−3−33000000000000000
χ8944-4-4-2-244-4-2-22-4-42242-2-2221-2-221-2-2-1-1222-224-411-1-1-2-222000000001-1-11-2211-1-100000000000000000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000
χ9044-4-4-2-244-4-2-22-4-42242-2-2221-2-221-2-2-1-1222-224-411-1-1-2-222000000001-1-11-2211-1-10000000000000000000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000
χ9144-4-4-2-24-44-2-22-4-4224222-2-21-2-221-2-2-1-12222-2-44-1-11122-2-2000000001-1-112-2-1-11100000000000000000000003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000
χ9244-4-4-2-24-44-2-22-4-4224222-2-21-2-221-2-2-1-12222-2-44-1-11122-2-2000000001-1-112-2-1-1110000000000000000000000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000
χ934-44-444-200-4-4-42-24-42400004-2-22-4224-4-22-2000000000000004i−4i−2i2i−2i2i-2-22200000000000000000000004i−4i000000000000−2i2i−2i2i0000000000000000000000000000000
χ944-44-444-200-4-4-42-24-42400004-2-22-4224-4-22-200000000000000−4i4i2i−2i2i−2i-2-2220000000000000000000000−4i4i0000000000002i−2i2i−2i0000000000000000000000000000000
χ954-44-44-2-200-42-42-2-222423−2323−23-2-21222-1-221-1-2000023−2323−23−33−33004i−4i−2i2i−2i2i11-1-100−33−330000000000000000−2i2i−2i32i30000000000i−ii−ii3−i3i3−i3000000000000000000000000000
χ964-44-44-2-200-42-42-2-222423−2323−23-2-21222-1-221-1-2000023−2323−23−33−3300−4i4i2i−2i2i−2i11-1-100−33−3300000000000000002i−2i2i3−2i30000000000−ii−ii−i3i3−i3i3000000000000000000000000000
χ974-44-44-2-200-42-42-2-2224−2323−2323-2-21222-1-221-1-20000−2323−23233−33−3004i−4i−2i2i−2i2i11-1-1003−33−30000000000000000−2i2i2i3−2i30000000000i−ii−i−i3i3−i3i3000000000000000000000000000
χ984-44-44-2-200-42-42-2-2224−2323−2323-2-21222-1-221-1-20000−2323−23233−33−300−4i4i2i−2i2i−2i11-1-1003−33−300000000000000002i−2i−2i32i30000000000−ii−iii3−i3i3−i3000000000000000000000000000
χ994-44-4-244002-42-444-4-4-20000-2-24222-4-224-4-20000000000004-4000000-2-2220000000000000000004-4000000-22-2-222000000000000000000000000000000000000000
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χ1014-44-4-2-2400222-44-22-4-223−2323−231-2-22-1221-1-22-20000−33−3323−2323−234-400000011-1-100−33−33000000000000-2223−230000-2211-1-1−3−33300000000000000000000000000000000000
χ1024-44-4-2-2400222-44-22-4-223−2323−231-2-22-1221-1-22-20000−33−3323−2323−23-4400000011-1-100−33−330000000000002-2−232300002-2-1-11133−3−300000000000000000000000000000000000
χ1034-44-4-2-2400222-44-22-4-2−2323−23231-2-22-1221-1-22-200003−33−3−2323−23234-400000011-1-1003−33−3000000000000-22−23230000-2211-1-133−3−300000000000000000000000000000000000
χ1044-44-4-2-2400222-44-22-4-2−2323−23231-2-22-1221-1-22-200003−33−3−2323−2323-4400000011-1-1003−33−30000000000002-223−2300002-2-1-111−3−33300000000000000000000000000000000000
χ1054-4-4444400-4-444-4-44-4-400004444-4-4-4-44-44-4000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-4444-200-4-44-22-442-400004-2-2-2-422-442-220000000000000000−2i32i32i3−2i3-22-22000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1074-4-4444-200-4-44-22-442-400004-2-2-2-422-442-2200000000000000002i3−2i3−2i32i3-22-220000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1084-4-444-2400-4244-42-2-4-423−23−2323-24-242-422-22-2-4000023−23−232323−23−232300000000-22-220023−23−232300000000000000000000000000000000000000000000000000000000000000000
χ1094-4-444-2400-4244-42-2-4-4−232323−23-24-242-422-22-2-40000−232323−23−232323−2300000000-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444-2-200-424-222-22-423−23−2323-2-21-222-12-2-112000023−23−2323−333−30000−2i32i32i3−2i31-11-100−333−3000000000000000000000000000000i3−i3−i3i33i−3i−3i3i000000000000000000000000000
χ1114-4-444-2-200-424-222-22-423−23−2323-2-21-222-12-2-112000023−23−2323−333−300002i3−2i3−2i32i31-11-100−333−3000000000000000000000000000000−i3i3i3−i3−3i3i3i−3i000000000000000000000000000
χ1124-4-444-2-200-424-222-22-4−232323−23-2-21-222-12-2-1120000−232323−233−3−330000−2i32i32i3−2i31-11-1003−3−33000000000000000000000000000000i3−i3−i3i3−3i3i3i−3i000000000000000000000000000
χ1134-4-444-2-200-424-222-22-4−232323−23-2-21-222-12-2-1120000−232323−233−3−3300002i3−2i3−2i32i31-11-1003−3−33000000000000000000000000000000−i3i3i3−i33i−3i−3i3i000000000000000000000000000
χ1144-4-44-244002-4-24-4-44-420000-2-24-222-42-2-44200000000000000000000-22-220000000000−2i32i300000000000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ1154-4-44-244002-4-24-4-44-420000-2-24-222-42-2-44200000000000000000000-22-2200000000002i3−2i3000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000
χ1164-4-44-2-240022-24-42-2-4223−23−23231-2-2-2-122-112-220000−333−323−23−2323000000001-11-100−333−30000−2i32i300000000000000003i−3i−3i3ii3−i3−i3i300000000000000000000000000000000000
χ1174-4-44-2-240022-24-42-2-4223−23−23231-2-2-2-122-112-220000−333−323−23−2323000000001-11-100−333−300002i3−2i30000000000000000−3i3i3i−3i−i3i3i3−i300000000000000000000000000000000000
χ1184-4-44-2-240022-24-42-2-42−232323−231-2-2-2-122-112-2200003−3−33−232323−23000000001-11-1003−3−330000−2i32i30000000000000000−3i3i3i−3ii3−i3−i3i300000000000000000000000000000000000
χ1194-4-44-2-240022-24-42-2-42−232323−231-2-2-2-122-112-2200003−3−33−232323−23000000001-11-1003−3−3300002i3−2i300000000000000003i−3i−3i3i−i3i3i3−i300000000000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-4-4-48-8-4-444444-44-4-444222-2222-2-2-2-2-2-44-4422-2-222-2-200000000-111-12-2-1-11100000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-4-88-4-444444-4444-4-4222-2222-2-2-2-2-24-44-4-2-222-2-22200000000-111-1-2211-1-100000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-48-4004-844-48-84-40000-42-4-24-24-44-4420000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-4004444-4-444-443−4343−43222-2-2-2-22-22-220000−2323−2323−2323−232300000000-1-111003−33−300000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4004444-4-444-4−4343−4343222-2-2-2-22-22-22000023−2323−2323−2323−2300000000-1-11100−33−3300000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-48-4004-8-4-44-88440000-42-424-244-44-4-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-40044-4-444-44443−43−43432222-2-2-2-22-22-20000−232323−23−232323−2300000000-11-11003−3−3300000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-40044-4-444-444−434343−432222-2-2-2-22-22-2000023−23−232323−23−232300000000-11-1100−333−300000000000000000000000000000000000000000000000000000000000000000

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