Finite Group Databasebeta

← Group #13168405

Character table — Group #13168405

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212224444441212121212121212366612121212121212121244666612121212121212121212121212121212121212124444661212121212121212244412121212121212121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111111111111111111-111111111111-1-1-1-1-1-11111111111-1-1111-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1111111111111111111-1-111-1-1-11-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1
χ61111111111111111111111111111111111111-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-11111-11-1-111-1-1-1-11111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-111-1-1-1-1-1-11111111111-11-1-1-1-1111-1-1-111-1-1-1-111-1-11-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-11-11111-1-11-1-1-111-1-1-1-111-1-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-111-11-1-111-1-1-1-1111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-111-1-1-1111111-1-1-11-1
χ17222222-1-12-12222-122-1-12-1-12-1-122-1-1222222222200220000000000-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12200002222-1-1000000000000-1-1-1-1-1-1-1-1-1-120200000-1-10000-100
χ18222222-1-12-12222-122-1-12-1-12-1-122-1-1222222222200-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2222-1-1220000-2-2-2-211000000000000-1-1-11-1-11111-20-200000110000100
χ19222222-1-12-12222-122-1-12-1-12-1-122-1-122222222-2-200220000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-211-2-200002222-1-1000000000000111-111-1-1-1-1-20-200000110000100
χ20222222-1-12-12222-122-1-12-1-12-1-122-1-122222222-2-200-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-20000-2-2-2-211000000000000111111111120200000-1-10000-100
χ21222222-1-12-12222-122-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-22200220000000000-1-1-1-1111111111-2-222-1-1-2-2000022-2-2-1-1000000000000-1-11111-1-111-20200000-1-10000100
χ22222222-1-12-12222-122-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-22200-2-20000000000-1-1-1-11111111112-222-1-1-2-20000-2-22211000000000000-1-11-11111-1-120-200000110000-100
χ23222222-1-12-12222-122-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-200220000000000-1-1-1-1111111111-22-2-21122000022-2-2-1-100000000000011-11-1-1-1-11120-200000110000-100
χ24222222-1-12-12222-122-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-200-2-20000000000-1-1-1-111111111122-2-211220000-2-2221100000000000011-1-1-1-111-1-1-20200000-1-10000100
χ2522222-12222-12-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-1222200222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-102-1-122-1-1-1-122000000-1-1-1-1-1-1-1-12200-1-120-1-100000200-1-1-1-1000000000
χ2622222-12222-12-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-122-2-200-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-102-1-122-1-111-2-200000011111111-2-200-1-120-1-100000-2001111000000000
χ2722222-12222-12-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-1-2-22200222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-211-2-211-1-122000000-1-1-1-1-1-1-1-1-2-20011-201100000-2001111000000000
χ2822222-12222-12-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-1-2-2-2-200-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-211-2-21111-2-200000011111111220011-201100000200-1-1-1-1000000000
χ2922222-12222-12-1-122-12-1-22-1-12-1-1-1-1211-2-21111222200-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111110-2-1-122111122000000-1-1-1-11111-2-200-1-1-20110000020011-1-1000000000
χ3022222-12222-12-1-122-12-1-22-1-12-1-1-1-1211-2-2111122-2-2002222221111-1-1-1-1-2-2-21111110-2-1-12211-1-1-2-20000001111-1-1-1-12200-1-1-201100000-200-1-111000000000
χ3122222-12222-12-1-122-12-1-22-1-12-1-1-1-1211-2-21111-2-22200-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111110211-2-2-1-11122000000-1-1-1-1111122001120-1-100000-200-1-111000000000
χ3222222-12222-12-1-122-12-1-22-1-12-1-1-1-1211-2-21111-2-2-2-2002222221111-1-1-1-1-2-2-21111110211-2-2-1-1-1-1-2-20000001111-1-1-1-1-2-2001120-1-10000020011-1-1000000000
χ332222-1222-122-1222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-100222222-1-1-1-12222-1-1-1-12-1-122-1-1-1-12000000022-1-1-1-1-1-122-1-1-1-1-1-1-1-10022000200-1-1-1-10002000000-1-1-1-1000
χ342222-1222-122-1222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-10022-2-222-1-1-1-12222-1-1-1-12-1-122-1-1-1-1-2000000022-1-11111-2-2-1-1-1-1-1-1-1-100-2-2000-2001111000-20000001111000
χ352222-1222-122-1222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-100-2-222-2-21111-2-2-2-2-1-1-1-12-1-122-1-1-1-120000000-2-211-1-1-1-1221111111100-2-2000200-1-1-1-1000-20000001111000
χ362222-1222-122-1222-1-1-122-12-1-12-1-12-122-1-1-1-1-1-100-2-2-2-2-2-21111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20000000-2-2111111-2-2111111110022000-20011110002000000-1-1-1-1000
χ372222-1222-122-1222-1-1-12-2-12-1-12-1-12-1-2-2111111002222-2-211112222-1-1-1-1-211-2-21111-20000000-2-2-1-1-1-11122-1-1-1-111110022000-200-1-111000-2000000-1-111000
χ382222-1222-122-1222-1-1-12-2-12-1-12-1-12-1-2-21111110022-2-2-2-211112222-1-1-1-1-211-2-2111120000000-2-2-1-111-1-1-2-2-1-1-1-1111100-2-200020011-1-1000200000011-1-1000
χ392222-1222-122-1222-1-1-12-2-12-1-12-1-12-1-2-211111100-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-211-2-21111-200000002211-1-111221111-1-1-1-100-2-2000-200-1-111000200000011-1-1000
χ402222-1222-122-1222-1-1-12-2-12-1-12-1-12-1-2-211111100-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-211-2-2111120000000221111-1-1-2-21111-1-1-1-1002200020011-1-1000-2000000-1-111000
χ4122-2-2222-2-2-2-22-222-22220-22-2-2-22-2-22000000002-200002i−2i2i2i−2i−2i000022-2-2000000000002-22-2002i−2i0000000000002i2i−2i−2i2i−2i002-20000000000002i−2i00000000000
χ4222-2-2222-2-2-2-22-222-22220-22-2-2-22-2-22000000002-20000−2i2i−2i−2i2i2i000022-2-2000000000002-22-200−2i2i000000000000−2i−2i2i2i−2i2i002-2000000000000−2i2i00000000000
χ4322-2-2222-2-2-2-22-222-22220-22-2-2-22-2-2200000000-2200002i−2i2i2i−2i−2i000022-2-200000000000-22-22002i−2i0000000000002i2i−2i−2i−2i2i00-22000000000000−2i2i00000000000
χ4422-2-2222-2-2-2-22-222-22220-22-2-2-22-2-2200000000-220000−2i2i−2i−2i2i2i000022-2-200000000000-22-2200−2i2i000000000000−2i−2i2i2i2i−2i00-220000000000002i−2i00000000000
χ4522-2-22-12-2-2-2121-12-2-12-10-2-11-21-11123−30033−3−32-200002i−2i2i2i−2i−2i−i3−i3i3i3-1-1110003−333−3−300-112-23−3−ii00000000−i3−i3i3i3−i−iii2i−2i00-11003−300000000−ii−i3i3000000000
χ4622-2-22-12-2-2-2121-12-2-12-10-2-11-21-11123−30033−3−32-20000−2i2i−2i−2i2i2ii3i3−i3−i3-1-1110003−333−3−300-112-23−3i−i00000000i3i3−i3−i3ii−i−i−2i2i00-11003−300000000i−ii3−i3000000000
χ4722-2-22-12-2-2-2121-12-2-12-10-2-11-21-11123−30033−3−3-2200002i−2i2i2i−2i−2i−i3−i3i3i3-1-1110003−333−3−3001-1-22−33−ii00000000−i3−i3i3i3−i−iii−2i2i001-100−3300000000i−ii3−i3000000000
χ4822-2-22-12-2-2-2121-12-2-12-10-2-11-21-11123−30033−3−3-220000−2i2i−2i−2i2i2ii3i3−i3−i3-1-1110003−333−3−3001-1-22−33i−i00000000i3i3−i3−i3ii−i−i2i−2i001-100−3300000000−ii−i3i3000000000
χ4922-2-22-12-2-2-2121-12-2-12-10-2-11-21-1112−3300−3−3332-200002i−2i2i2i−2i−2ii3i3−i3−i3-1-111000−33−3−33300-112-2−33−ii00000000i3i3−i3−i3−i−iii2i−2i00-1100−3300000000−iii3−i3000000000
χ5022-2-22-12-2-2-2121-12-2-12-10-2-11-21-1112−3300−3−3332-20000−2i2i−2i−2i2i2i−i3−i3i3i3-1-111000−33−3−33300-112-2−33i−i00000000−i3−i3i3i3ii−i−i−2i2i00-1100−3300000000i−i−i3i3000000000
χ5122-2-22-12-2-2-2121-12-2-12-10-2-11-21-1112−3300−3−333-2200002i−2i2i2i−2i−2ii3i3−i3−i3-1-111000−33−3−333001-1-223−3−ii00000000i3i3−i3−i3−i−iii−2i2i001-1003−300000000i−i−i3i3000000000
χ5222-2-22-12-2-2-2121-12-2-12-10-2-11-21-1112−3300−3−333-220000−2i2i−2i−2i2i2i−i3−i3i3i3-1-111000−33−3−333001-1-223−3i−i00000000−i3−i3i3i3ii−i−i2i−2i001-1003−300000000−iii3−i3000000000
χ532-2-222222-2-2-2-22-2-222220-2-2222-2-2-2-200000000002i−2i2i−2i0000002i−2i2i−2i2-2-2200000000000000000002i−2i2i−2i002i−2i2i−2i2i−2i0000002-20000002i−2i0000000000002-200000
χ542-2-222222-2-2-2-22-2-222220-2-2222-2-2-2-200000000002i−2i−2i2i0000002i−2i2i−2i2-2-2200000000000000000002i−2i−2i2i00−2i2i2i−2i2i−2i000000-22000000−2i2i000000000000-2200000
χ552-2-222222-2-2-2-22-2-222220-2-2222-2-2-2-20000000000−2i2i2i−2i000000−2i2i−2i2i2-2-220000000000000000000−2i2i2i−2i002i−2i−2i2i−2i2i000000-220000002i−2i000000000000-2200000
χ562-2-222222-2-2-2-22-2-222220-2-2222-2-2-2-20000000000−2i2i−2i2i000000−2i2i−2i2i2-2-220000000000000000000−2i2i−2i2i00−2i2i−2i2i−2i2i0000002-2000000−2i2i0000000000002-200000
χ572-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100−i3i3−i3i3−i3i3002i−2i2i−2i003−33−32i−2i2i−2i-111-10−i3i300−i3i3−i3i30000000000−ii−ii3−32i−2i−ii−ii3−33−3002-2000000−ii3−30000000000-11−i3i3000
χ582-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100−i3i3−i3i3−i3i3002i−2i−2i2i003−33−32i−2i2i−2i-111-10−i3i300−i3i3−i3i30000000000−iii−i−33−2i2i−ii−ii3−33−300-22000000i−i−3300000000001-1i3−i3000
χ592-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100−i3i3−i3i3−i3i300−2i2i2i−2i00−33−33−2i2i−2i2i-111-10−i3i300−i3i3−i3i30000000000i−i−ii3−32i−2ii−ii−i−33−3300-22000000−ii3−300000000001-1i3−i3000
χ602-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100−i3i3−i3i3−i3i300−2i2i−2i2i00−33−33−2i2i−2i2i-111-10−i3i300−i3i3−i3i30000000000i−ii−i−33−2i2ii−ii−i−33−33002-2000000i−i−330000000000-11−i3i3000
χ612-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100i3−i3i3−i3i3−i3002i−2i2i−2i00−33−332i−2i2i−2i-111-10i3−i300i3−i3i3−i30000000000−ii−ii−332i−2i−ii−ii−33−33002-2000000−ii−330000000000-11i3−i3000
χ622-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100i3−i3i3−i3i3−i3002i−2i−2i2i00−33−332i−2i2i−2i-111-10i3−i300i3−i3i3−i30000000000−iii−i3−3−2i2i−ii−ii−33−3300-22000000i−i3−300000000001-1−i3i3000
χ632-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100i3−i3i3−i3i3−i300−2i2i2i−2i003−33−3−2i2i−2i2i-111-10i3−i300i3−i3i3−i30000000000i−i−ii−332i−2ii−ii−i3−33−300-22000000−ii−3300000000001-1−i3i3000
χ642-2-22-12221-2-212-2-2-1-1-1201-2-1-1211-2100i3−i3i3−i3i3−i300−2i2i−2i2i003−33−3−2i2i−2i2i-111-10i3−i300i3−i3i3−i30000000000i−ii−i3−3−2i2ii−ii−i3−33−3002-2000000i−i3−30000000000-11i3−i3000
χ6544444-2-2-24-2-24-2-2-24-2-214-21-2-21-2-21-2-2-244-2-2-2-244000000000000001111-2-2-211111104-2-2-2-2-2-2000000000000000000000011-2011000000000000000000000
χ6644444-2-2-24-2-24-2-2-24-2-214-21-2-21-2-21-2-2-244-2-2-2-2-4-4000000000000001111-2-2-21111110-42222220000000000000000000000-1-120-1-1000000000000000000000
χ6744444-2-2-24-2-24-2-2-24-2-21-4-21-2-21-2-21-222-4-4222244000000000000001111222-1-1-1-1-1-10-4-2-2-2-22200000000000000000000001120-1-1000000000000000000000
χ6844444-2-2-24-2-24-2-2-24-2-21-4-21-2-21-2-21-222-4-42222-4-4000000000000001111222-1-1-1-1-1-1042222-2-20000000000000000000000-1-1-2011000000000000000000000
χ694444-24-2-2-2-24-244-2-2-21-241-2-21-2-2-2-2144-2-2-2-2-2-200004400000000001111-211-2-21111400000000000-2-2-2-2-2-2000000000000000-200111100000000000000000
χ704444-24-2-2-2-24-244-2-2-21-241-2-21-2-2-2-2144-2-2-2-2-2-20000-4-400000000001111-211-2-21111-400000000000222222000000000000000200-1-1-1-100000000000000000
χ714444-24-2-2-2-24-244-2-2-21-2-41-2-21-2-2-2-21-4-4222222000044000000000011112-1-122-1-1-1-1-400000000000-2-222-2-200000000000000020011-1-100000000000000000
χ724444-24-2-2-2-24-244-2-2-21-2-41-2-21-2-2-2-21-4-42222220000-4-4000000000011112-1-122-1-1-1-140000000000022-2-222000000000000000-200-1-11100000000000000000
χ734444-2-244-24-2-2-2-24-21-2-24-2-21-2-211-2-2-2-2-2-2111100440044-2-2-2-2-2-2-2-211114-2-2-2-2111100000000-2-2-2-2000000111111110000000000000000000000000000000
χ744444-2-244-24-2-2-2-24-21-2-24-2-21-2-211-2-2-2-2-2-2111100-4-400-4-42222222211114-2-2-2-21111000000002222000000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ754444-2-244-24-2-2-2-24-21-2-2-4-2-21-2-211-2-22222-1-1-1-1004400-4-42222-2-2-2-21111-42222-1-1-1-10000000022-2-20000001111-1-1-1-10000000000000000000000000000000
χ764444-2-244-24-2-2-2-24-21-2-2-4-2-21-2-211-2-22222-1-1-1-100-4-40044-2-2-2-222221111-42222-1-1-1-100000000-2-222000000-1-1-1-111110000000000000000000000000000000
χ7744-4-444-22-42-44-44-2-44-2-202-2-4224-42-2000000004-400000000000000-2-222000000000004-4-22000000000000000000000000-220000000000000000000000000
χ7844-4-444-22-42-44-44-2-44-2-202-2-4224-42-200000000-4400000000000000-2-22200000000000-442-20000000000000000000000002-20000000000000000000000000
χ7944-4-44-2-22-42242-2-2-4-2-2102122-1-22-1-223−23002323−23−234-40000000000000011-1-1000−33−3−33300-22-2223−2300000000000000000000001-100−33000000000000000000000
χ8044-4-44-2-22-42242-2-2-4-2-2102122-1-22-1-223−23002323−23−23-440000000000000011-1-1000−33−3−333002-22-2−23230000000000000000000000-11003−3000000000000000000000
χ8144-4-44-2-22-42242-2-2-4-2-2102122-1-22-1-2−232300−23−2323234-40000000000000011-1-10003−333−3−300-22-22−232300000000000000000000001-1003−3000000000000000000000
χ8244-4-44-2-22-42242-2-2-4-2-2102122-1-22-1-2−232300−23−232323-440000000000000011-1-10003−333−3−3002-22-223−230000000000000000000000-1100−33000000000000000000000
χ8344-4-4-244-42-4-4-2-4442-2-2402422-4-22-4-2000000000000004i−4i−2i−2i2i2i0000-2-222000000000000000004i−4i000000000000−2i−2i2i2i0000000000000000000000000000000
χ8444-4-4-244-42-4-4-2-4442-2-2402422-4-22-4-200000000000000−4i4i2i2i−2i−2i0000-2-22200000000000000000−4i4i0000000000002i2i−2i−2i0000000000000000000000000000000
χ8544-4-4-2-24-42-42-22-2421-2-202-2-1221-12-223−2300−3−3330000004i−4i−2i−2i2i2i−2i3−2i32i32i311-1-100023−23−3−33300000000−2i2i00000000i3i3−i3−i3ii−i−i0000000000000000000000000000000
χ8644-4-4-2-24-42-42-22-2421-2-202-2-1221-12-223−2300−3−333000000−4i4i2i2i−2i−2i2i32i3−2i3−2i311-1-100023−23−3−333000000002i−2i00000000−i3−i3i3i3−i−iii0000000000000000000000000000000
χ8744-4-4-2-24-42-42-22-2421-2-202-2-1221-12-2−23230033−3−30000004i−4i−2i−2i2i2i2i32i3−2i3−2i311-1-1000−232333−3−300000000−2i2i00000000−i3−i3i3i3ii−i−i0000000000000000000000000000000
χ8844-4-4-2-24-42-42-22-2421-2-202-2-1221-12-2−23230033−3−3000000−4i4i2i2i−2i−2i−2i3−2i32i32i311-1-1000−232333−3−3000000002i−2i00000000i3i3−i3−i3−i−iii0000000000000000000000000000000
χ894-44-4444-4444-4-4-4-4-444404-4-4-4-4-444-40000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ904-44-444-224-24-4-4-42-44-2-20-22-422-44-22000000000000000000000000-22-2200000000000000000000000000000000000000000000000000000000023−230000000
χ914-44-444-224-24-4-4-42-44-2-20-22-422-44-22000000000000000000000000-22-22000000000000000000000000000000000000000000000000000000000−23230000000
χ924-44-44-24-444-2-422-4-4-24-20422-422-2-2-40000000000000000000023−23−2323-22-2200000000000000000000000000023−23−232300000000000000000000000000000000000
χ934-44-44-24-444-2-422-4-4-24-20422-422-2-2-400000000000000000000−232323−23-22-22000000000000000000000000000−232323−2300000000000000000000000000000000000
χ944-44-4-244-4-2442-4-4-42-2-240-2-422-42-2420000000000000000−2i32i32i3−2i30000-22-220000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ954-44-4-244-4-2442-4-4-42-2-240-2-422-42-24200000000000000002i3−2i3−2i32i30000-22-2200000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ964-44-4-2-24-4-24-2222-421-2-20-22-122-11-2200003i−3i−3i3i00000000−2i32i32i3−2i323−23−23231-11-1000003i−3i−3i3i000000000000000000−333−3i3−i3−i3i30000000000000000000000000000000
χ974-44-4-2-24-4-24-2222-421-2-20-22-122-11-2200003i−3i−3i3i000000002i3−2i3−2i32i3−232323−231-11-1000003i−3i−3i3i0000000000000000003−3−33−i3i3i3−i30000000000000000000000000000000
χ984-44-4-2-24-4-24-2222-421-2-20-22-122-11-220000−3i3i3i−3i00000000−2i32i32i3−2i3−232323−231-11-100000−3i3i3i−3i0000000000000000003−3−33i3−i3−i3i30000000000000000000000000000000
χ994-44-4-2-24-4-24-2222-421-2-20-22-122-11-220000−3i3i3i−3i000000002i3−2i3−2i32i323−23−23231-11-100000−3i3i3i−3i000000000000000000−333−3−i3i3i3−i30000000000000000000000000000000
χ1004-4-4444-2-2-42-4-44-4244-2-20224-2-2-4-4220000000000004i−4i0000000000-222-20000000000000000000004i−4i00−2i2i000000000000000000−2i2i0000000000000000000
χ1014-4-4444-2-2-42-4-44-4244-2-20224-2-2-4-422000000000000−4i4i0000000000-222-2000000000000000000000−4i4i002i−2i0000000000000000002i−2i0000000000000000000
χ1024-4-444-244-4-42-4-22-44-24-20-42-24-2222-400000000004i−4i00000000−2i2i−2i2i-222-200000000000000000004i−4i000000−2i2i−2i2i00000000000000000000000000000000000
χ1034-4-444-244-4-42-4-22-44-24-20-42-24-2222-40000000000−4i4i000000002i−2i2i−2i-222-20000000000000000000−4i4i0000002i−2i2i−2i00000000000000000000000000000000000
χ1044-4-44-24-2-222-424-42-2-21-20-12-21-2222-100−2i32i3−2i32i3−2i32i300004i−4i00000000001-1-110i3−i300i3−i3i3−i3000000000000−2i2i23−23−2i2i000000000000000000i−i−3300000000000000000
χ1054-4-44-24-2-222-424-42-2-21-20-12-21-2222-100−2i32i3−2i32i3−2i32i30000−4i4i00000000001-1-110i3−i300i3−i3i3−i30000000000002i−2i−23232i−2i000000000000000000−ii3−300000000000000000
χ1064-4-44-24-2-222-424-42-2-21-20-12-21-2222-1002i3−2i32i3−2i32i3−2i300004i−4i00000000001-1-110−i3i300−i3i3−i3i3000000000000−2i2i−2323−2i2i000000000000000000i−i3−300000000000000000
χ1074-4-44-24-2-222-424-42-2-21-20-12-21-2222-1002i3−2i32i3−2i32i3−2i30000−4i4i00000000001-1-110−i3i300−i3i3−i3i30000000000002i−2i23−232i−2i000000000000000000−ii−3300000000000000000
χ1084-4-44-2-2442-422-22-4-21-2-20221-2-2-1-12200−2i32i3i3−i3i3−i3004i−4i000023−2323−23−2i2i−2i2i1-1-110−2i32i300i3−i3i3−i30000000000−2i2i000000i−ii−i−33−330000000000000000000000000000000
χ1094-4-44-2-2442-422-22-4-21-2-20221-2-2-1-12200−2i32i3i3−i3i3−i300−4i4i0000−2323−23232i−2i2i−2i1-1-110−2i32i300i3−i3i3−i300000000002i−2i000000−ii−ii3−33−30000000000000000000000000000000
χ1104-4-44-2-2442-422-22-4-21-2-20221-2-2-1-122002i3−2i3−i3i3−i3i3004i−4i0000−2323−2323−2i2i−2i2i1-1-1102i3−2i300−i3i3−i3i30000000000−2i2i000000i−ii−i3−33−30000000000000000000000000000000
χ1114-4-44-2-2442-422-22-4-21-2-20221-2-2-1-122002i3−2i3−i3i3−i3i300−4i4i000023−2323−232i−2i2i−2i1-1-1102i3−2i300−i3i3−i3i300000000002i−2i000000−ii−ii−33−330000000000000000000000000000000
χ1128888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ11488-8-8-48-4444-8-4-88-44-42-40-2-44-24-444200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-44444-44-4-442220-22-2-2-22-2-2243−4300−23−2323230000000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-44444-44-4-442220-22-2-2-22-2-22−4343002323−23−230000000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-88-4-448-4-4-8444-8-4-420-4-244-24-4240000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-44-4-484-8-844-42-40244-244-4-4-20000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-44-4-4-44444422202-2-2-2-2-222-200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-44-4-4-44444422202-2-2-2-2-222-20000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1218-8-888-4-4-4-844-8-4448-4-4204-2-4-4244-240000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4-44444-444-42220-2-2222-2-2-2-200−4i34i32i3−2i32i3−2i30000000000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4-44444-444-42220-2-2222-2-2-2-2004i3−4i3−2i32i3−2i32i30000000000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000

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