Finite Group Databasebeta

← Group #13168719

Character table — Group #13168719

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666663334666666666121212121212121222444444121212121212121236661212121212121212124466661212121212121212121212121212121212121212224466121212121212121244446612121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111111111111111111-11111111-1-1-1-111-1-1111111111111-1-1111-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1111111-1-1111111111111-1-111-1-1-11-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1
χ61111111111111111111111111111111111111-1-111-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-1-11111-1-1-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-11-1-1111-1-11111-1-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-111-1-11-111-1-1-1-1-1-1111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1-1-111-1111-1-111-1-111-1-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1111-1-111-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-11-11111-1-1-1-11-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1111-1-1111-1-11111-1-1-1-11
χ17222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1222200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10222-1-1-1-10000-1-10022-1-1-1-1-1-1-1-12200-1-120-1-100000200-1-1-1-1000000000
χ18222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-122-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10222-1-1110000-1-100-2-211111111-2-200-1-120-1-100000-2001111000000000
χ19222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-22200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2-2-211-1-10000110022-1-1-1-1-1-1-1-1-2-20011-201100000-2001111000000000
χ20222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2-2-2111100001100-2-211111111220011-201100000200-1-1-1-1000000000
χ21222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-21111222200-2-222221111-1-1-1-1-211-2-211110-222-1-1-1-100001100-2-2-1-1-1-111112200-1-1-201100000-200-1-111000000000
χ22222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-2111122-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-211110-222-1-11100001100221111-1-1-1-1-2-200-1-1-20110000020011-1-1000000000
χ23222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-22200-2-222221111-1-1-1-1-211-2-2111102-2-211-1-10000-1-100-2-2-1-1-1-11111-2-2001120-1-10000020011-1-1000000000
χ24222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-2-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111102-2-211110000-1-100221111-1-1-1-122001120-1-100000-200-1-111000000000
χ2522222-12-12222-12-12-12-12-1-1-12-122-1-1222222222200220000000000-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12200222222-1-100000000000000-1-1-1-1-1-1-1-1-1-120200000-1-10000-100
χ2622222-12-12222-12-12-12-12-1-1-12-122-1-1222222222200-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-1-12200-2-2-2-2221100000000000000-1-1-11-1-11111-20-200000110000100
χ2722222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-200220000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-211-2-2002222-2-2-1-100000000000000111-111-1-1-1-1-20-200000110000100
χ2822222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-200-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-200-2-2-2-2-2-21100000000000000111111111120200000-1-10000-100
χ2922222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200220000000000-1-1-1-1111111111-2-2-1-1220022-2-2-2-2-1-100000000000000-1-11111-1-11120-200000-1-10000100
χ3022222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200-2-20000000000-1-1-1-11111111112-2-1-12200-2-222-2-21100000000000000-1-11-11111-1-1-20200000110000-100
χ3122222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200220000000000-1-1-1-1111111111-2211-2-20022-2-222-1-10000000000000011-11-1-1-1-111-20200000110000-100
χ3222222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200-2-20000000000-1-1-1-11111111112211-2-200-2-22222110000000000000011-1-1-1-111-1-120-200000-1-10000100
χ332222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100222222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-120000022-1-1-1-10022-1-1-1-1-1-1-1-1-1-10022000200-1-1-1-10002000000-1-1-1-1000
χ342222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-10022-2-222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-20000022111100-2-2-1-1-1-1-1-1-1-1-1-100-2-2000-2001111000-20000001111000
χ352222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100-2-222-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1200000-2-2-1-1-1-10022111111111100-2-2000200-1-1-1-1000-20000001111000
χ362222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100-2-2-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-200000-2-2111100-2-211111111110022000-20011110002000000-1-1-1-1000
χ372222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-2111111002222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2111111-20000022-1-111002211-1-1-1-1111100-2-2000-200-1-1110002000000-1-111000
χ382222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-21111110022-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111112000002211-1-100-2-211-1-1-1-11111002200020011-1-1000-200000011-1-1000
χ392222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-211111100-2-2222211112222-1-1-1-1-2-2-2111111-200000-2-2-1-1110022-1-11111-1-1-1-10022000-200-1-111000-200000011-1-1000
χ402222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-211111100-2-2-2-22211112222-1-1-1-1-2-2-2111111200000-2-211-1-100-2-2-1-11111-1-1-1-100-2-200020011-1-10002000000-1-111000
χ4122-2-22222-222-2-2-2-2-222202-22-2-22-2-2-2000000002-22-2000022-2-2000022-2-2000000000002-22-22-2000000000022-2-200002-2002-20000000000002-200000000000
χ4222-2-22222-222-2-2-2-2-222202-22-2-22-2-2-2000000002-2-220000-2-222000022-2-2000000000002-22-2-220000000000-2-2220000-22002-2000000000000-2200000000000
χ4322-2-22222-222-2-2-2-2-222202-22-2-22-2-2-200000000-222-2000022-2-2000022-2-200000000000-22-222-2000000000022-2-20000-2200-22000000000000-2200000000000
χ4422-2-22222-222-2-2-2-2-222202-22-2-22-2-2-200000000-22-220000-2-222000022-2-200000000000-22-22-220000000000-2-22200002-200-220000000000002-200000000000
χ4522-2-222-1212-1-2-21-2-22-1-102-2-111-111-23−30033−3−32-22-2000022-2-233−3−3-1-11103−30033−3−3002-2-11-1100003−30000-1-11133−3−32-200-11003−300000000-113−3000000000
χ4622-2-222-1212-1-2-21-2-22-1-102-2-111-111-23−30033−3−32-2-220000-2-222−3−333-1-11103−30033−3−3002-2-111-100003−3000011-1-1−3−333-2200-11003−3000000001-1−33000000000
χ4722-2-222-1212-1-2-21-2-22-1-102-2-111-111-23−30033−3−3-222-2000022-2-233−3−3-1-11103−30033−3−300-221-1-110000−330000-1-11133−3−3-22001-100−33000000001-1−33000000000
χ4822-2-222-1212-1-2-21-2-22-1-102-2-111-111-23−30033−3−3-22-220000-2-222−3−333-1-11103−30033−3−300-221-11-10000−33000011-1-1−3−3332-2001-100−3300000000-113−3000000000
χ4922-2-222-1212-1-2-21-2-22-1-102-2-111-111-2−3300−3−3332-22-2000022-2-2−3−333-1-1110−3300−3−333002-2-11-110000−330000-1-111−3−3332-200-1100−3300000000-11−33000000000
χ5022-2-222-1212-1-2-21-2-22-1-102-2-111-111-2−3300−3−3332-2-220000-2-22233−3−3-1-1110−3300−3−333002-2-111-10000−33000011-1-133−3−3-2200-1100−33000000001-13−3000000000
χ5122-2-222-1212-1-2-21-2-22-1-102-2-111-111-2−3300−3−333-222-2000022-2-2−3−333-1-1110−3300−3−33300-221-1-1100003−30000-1-111−3−333-22001-1003−3000000001-13−3000000000
χ5222-2-222-1212-1-2-21-2-22-1-102-2-111-111-2−3300−3−333-22-220000-2-22233−3−3-1-1110−3300−3−33300-221-11-100003−3000011-1-133−3−32-2001-1003−300000000-11−33000000000
χ532-22-2222-22-2-22-2-22-22220-2-2-222-2-2-220000000000002-22i−2i00002i−2i2i−2i2-2-22000000000000000002-200002-22i−2i00002i−2i2i−2i002i−2i0000002-2000000000000002i−2i000
χ542-22-2222-22-2-22-2-22-22220-2-2-222-2-2-220000000000002-2−2i2i0000−2i2i−2i2i2-2-22000000000000000002-200002-2−2i2i0000−2i2i−2i2i00−2i2i0000002-200000000000000−2i2i000
χ552-22-2222-22-2-22-2-22-22220-2-2-222-2-2-22000000000000-222i−2i00002i−2i2i−2i2-2-2200000000000000000-220000-222i−2i00002i−2i2i−2i00−2i2i000000-2200000000000000−2i2i000
χ562-22-2222-22-2-22-2-22-22220-2-2-222-2-2-22000000000000-22−2i2i0000−2i2i−2i2i2-2-2200000000000000000-220000-22−2i2i0000−2i2i−2i2i002i−2i000000-22000000000000002i−2i000
χ572-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100−i3i3−i3i3−i3i300002-22i−2i3−33−32i−2i2i−2i-111-1000−i3i3−i3i3−i3i300000000-11−i3i3002-2−ii3−33−3−ii−ii002i−2i000000-11−i3i300000000003−3−ii000
χ582-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100−i3i3−i3i3−i3i300002-2−2i2i−33−33−2i2i−2i2i-111-1000−i3i3−i3i3−i3i300000000-11−i3i3002-2i−i−33−33i−ii−i00−2i2i000000-11−i3i30000000000−33i−i000
χ592-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100−i3i3−i3i3−i3i30000-222i−2i3−33−32i−2i2i−2i-111-1000−i3i3−i3i3−i3i3000000001-1i3−i300-22−ii3−33−3−ii−ii00−2i2i0000001-1i3−i30000000000−33i−i000
χ602-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100−i3i3−i3i3−i3i30000-22−2i2i−33−33−2i2i−2i2i-111-1000−i3i3−i3i3−i3i3000000001-1i3−i300-22i−i−33−33i−ii−i002i−2i0000001-1i3−i300000000003−3−ii000
χ612-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100i3−i3i3−i3i3−i300002-22i−2i−33−332i−2i2i−2i-111-1000i3−i3i3−i3i3−i300000000-11i3−i3002-2−ii−33−33−ii−ii002i−2i000000-11i3−i30000000000−33−ii000
χ622-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100i3−i3i3−i3i3−i300002-2−2i2i3−33−3−2i2i−2i2i-111-1000i3−i3i3−i3i3−i300000000-11i3−i3002-2i−i3−33−3i−ii−i00−2i2i000000-11i3−i300000000003−3i−i000
χ632-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100i3−i3i3−i3i3−i30000-222i−2i−33−332i−2i2i−2i-111-1000i3−i3i3−i3i3−i3000000001-1−i3i300-22−ii−33−33−ii−ii00−2i2i0000001-1−i3i300000000003−3i−i000
χ642-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100i3−i3i3−i3i3−i30000-22−2i2i3−33−3−2i2i−2i2i-111-1000i3−i3i3−i3i3−i3000000001-1−i3i300-22i−i3−33−3i−ii−i002i−2i0000001-1−i3i30000000000−33−ii000
χ6544444-2-2-2-24-24-2-2-24-2-214-2-21-21-2-21-2-2-244-2-2-2-244000000000000001111-211-2-2111104-2-2-2-2000000-2-2000000000000000011-2011000000000000000000000
χ6644444-2-2-2-24-24-2-2-24-2-214-2-21-21-2-21-2-2-244-2-2-2-2-4-4000000000000001111-211-2-211110-42222000000220000000000000000-1-120-1-1000000000000000000000
χ6744444-2-2-2-24-24-2-2-24-2-21-4-2-21-21-2-21-222-4-42222440000000000000011112-1-122-1-1-1-10-4-2-2-2-20000002200000000000000001120-1-1000000000000000000000
χ6844444-2-2-2-24-24-2-2-24-2-21-4-2-21-21-2-21-222-4-42222-4-40000000000000011112-1-122-1-1-1-1042222000000-2-20000000000000000-1-1-2011000000000000000000000
χ694444-24-24-2-2-2-24-24-2-21-24-2-2-21-211-2-2-2-2-2-2111100440044-2-2-2-2-2-2-2-211114-2-2-2-21111000000-2-200000000-2-2111111110000000000000000000000000000000
χ704444-24-24-2-2-2-24-24-2-21-24-2-2-21-211-2-2-2-2-2-2111100-4-400-4-42222222211114-2-2-2-21111000000220000000022-1-1-1-1-1-1-1-10000000000000000000000000000000
χ714444-24-24-2-2-2-24-24-2-21-2-4-2-2-21-211-2-22222-1-1-1-1004400-4-4-2-2-2-222221111-42222-1-1-1-1000000-2-200000000221111-1-1-1-10000000000000000000000000000000
χ724444-24-24-2-2-2-24-24-2-21-2-4-2-2-21-211-2-22222-1-1-1-100-4-400442222-2-2-2-21111-42222-1-1-1-10000002200000000-2-2-1-1-1-111110000000000000000000000000000000
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χ744444-2-24-24-24-2-24-2-21-2-2411-2-2-2-2-2-2144-2-2-2-2-2-20000-4-400000000001111-2-2-2111111-400000002222002200000000000000000200-1-1-1-100000000000000000
χ754444-2-24-24-24-2-24-2-21-2-2-411-2-2-2-2-2-21-4-422222200004400000000001111222-1-1-1-1-1-1-40000000-2-22200-2-20000000000000000020011-1-100000000000000000
χ764444-2-24-24-24-2-24-2-21-2-2-411-2-2-2-2-2-21-4-42222220000-4-400000000001111222-1-1-1-1-1-14000000022-2-2002200000000000000000-200-1-11100000000000000000
χ7744-4-44-24-2-444-42-42-4-24-20-22-2-424-422000000004-400000000000000-2-22200000000000-224-4000000000000000000000000-220000000000000000000000000
χ7844-4-44-24-2-444-42-42-4-24-20-22-2-424-42200000000-4400000000000000-2-222000000000002-2-440000000000000000000000002-20000000000000000000000000
χ7944-4-44-2-2-224-2-4222-4-2-210-2212-1-22-1223−23002323−23−234-40000000000000011-1-10−3300−3−33300-22-2200000023−2300000000000000001-100−33000000000000000000000
χ8044-4-44-2-2-224-2-4222-4-2-210-2212-1-22-1223−23002323−23−23-440000000000000011-1-10−3300−3−333002-22-2000000−23230000000000000000-11003−3000000000000000000000
χ8144-4-44-2-2-224-2-4222-4-2-210-2212-1-22-12−232300−23−2323234-40000000000000011-1-103−30033−3−300-22-22000000−232300000000000000001-1003−3000000000000000000000
χ8244-4-44-2-2-224-2-4222-4-2-210-2212-1-22-12−232300−23−232323-440000000000000011-1-103−30033−3−3002-22-200000023−230000000000000000-1100−33000000000000000000000
χ8344-4-4-2444-4-242-4-4-42-2-240-2242-4-22-4200000000004-40000-2-2220000-2-2220000000000000004-40000000000-2-22200000000000000000000000000000000000
χ8444-4-4-2444-4-242-4-4-42-2-240-2242-4-22-420000000000-44000022-2-20000-2-222000000000000000-44000000000022-2-200000000000000000000000000000000000
χ8544-4-4-24-242-2-22-42-42-21-20-22-2-121-12223−2300−3−333004-40000-2-2222323−23−2311-1-1023−2300−3−333000000-22000000000011-1-1−3−3330000000000000000000000000000000
χ8644-4-4-24-242-2-22-42-42-21-20-22-2-121-12223−2300−3−33300-44000022-2-2−23−23232311-1-1023−2300−3−3330000002-20000000000-1-11133−3−30000000000000000000000000000000
χ8744-4-4-24-242-2-22-42-42-21-20-22-2-121-122−23230033−3−3004-40000-2-222−23−23232311-1-10−23230033−3−3000000-22000000000011-1-133−3−30000000000000000000000000000000
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χ894-44-444-2-4-2-424-424-44-2-20-4-42-2-22224000000000000004i−4i0000−2i2i−2i2i-222-200000000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000000
χ904-44-444-2-4-2-424-424-44-2-20-4-42-2-2222400000000000000−4i4i00002i−2i2i−2i-222-20000000000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000000
χ914-44-44-2424-4-442-4-2-4-24-202224-2-4-42-20000000000004-40000000000-222-2000000000000000004-40000-2200000000000000000000-220000000000000000000
χ924-44-44-2424-4-442-4-2-4-24-202224-2-4-42-2000000000000-440000000000-222-200000000000000000-4400002-2000000000000000000002-20000000000000000000
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χ944-44-4-24-2-4-222-2-4242-21-202221-2-1-12-200−2i32i3i3−i3i3−i3000000−4i4i−2323−23232i−2i2i−2i1-1-11000−2i32i3i3−i3i3−i300000000000000002i−2i3−33−3−ii−ii0000000000000000000000000000000
χ954-44-4-24-2-4-222-2-4242-21-202221-2-1-12-2002i3−2i3−i3i3−i3i30000004i−4i−2323−2323−2i2i−2i2i1-1-110002i3−2i3−i3i3−i3i30000000000000000−2i2i3−33−3i−ii−i0000000000000000000000000000000
χ964-44-4-24-2-4-222-2-4242-21-202221-2-1-12-2002i3−2i3−i3i3−i3i3000000−4i4i23−2323−232i−2i2i−2i1-1-110002i3−2i3−i3i3−i3i300000000000000002i−2i−33−33−ii−ii0000000000000000000000000000000
χ974-44-4-2-24242-4-22-4-221-2-20-1-12-2-2222100−2i32i3−2i32i3−2i32i300004-400000000001-1-11000i3−i3i3−i3i3−i300000000-22−2i32i300-22000000000000000000001-1i3−i300000000000000000
χ984-44-4-2-24242-4-22-4-221-2-20-1-12-2-2222100−2i32i3−2i32i3−2i32i30000-4400000000001-1-11000i3−i3i3−i3i3−i3000000002-22i3−2i3002-200000000000000000000-11−i3i300000000000000000
χ994-44-4-2-24242-4-22-4-221-2-20-1-12-2-22221002i3−2i32i3−2i32i3−2i300004-400000000001-1-11000−i3i3−i3i3−i3i300000000-222i3−2i300-22000000000000000000001-1−i3i300000000000000000
χ1004-44-4-2-24242-4-22-4-221-2-20-1-12-2-22221002i3−2i32i3−2i32i3−2i30000-4400000000001-1-11000−i3i3−i3i3−i3i3000000002-2−2i32i3002-200000000000000000000-11i3−i300000000000000000
χ1014-4-44444-4-4-4-4-444-444440-44-4-4-4-444-40000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-2-42-42-44-2-444-2-20-442222-2-2-400000000000000000000−2i32i32i3−2i3-22-220000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1034-4-4444-2-42-42-44-2-444-2-20-442222-2-2-4000000000000000000002i3−2i3−2i32i3-22-2200000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1044-4-444-242-4-4-4-4-2424-24-202-22-42-44-22000000000000000000000000-22-2200000000000000000000000000000000000000000000000000000000023−230000000
χ1054-4-444-242-4-4-4-4-2424-24-202-22-42-44-22000000000000000000000000-22-22000000000000000000000000000000000000000000000000000000000−23230000000
χ1064-4-44-244-4-42-4244-4-2-2-2402-2-42-42-242000000000000000023−23−23230000-22-2200000000000000000000000000023−23−232300000000000000000000000000000000000
χ1074-4-44-244-4-42-4244-4-2-2-2402-2-42-42-2420000000000000000−232323−230000-22-22000000000000000000000000000−232323−2300000000000000000000000000000000000
χ1084-4-44-24-2-422224-2-4-2-21-202-22-12-11-2200003i−3i−3i3i0000000023−23−2323−2i32i32i3−2i31-11-1000003i−3i−3i3i000000000000000000−333−3i3−i3−i3i30000000000000000000000000000000
χ1094-4-44-24-2-422224-2-4-2-21-202-22-12-11-2200003i−3i−3i3i00000000−232323−232i3−2i3−2i32i31-11-1000003i−3i−3i3i0000000000000000003−3−33−i3i3i3−i30000000000000000000000000000000
χ1104-4-44-24-2-422224-2-4-2-21-202-22-12-11-220000−3i3i3i−3i0000000023−23−23232i3−2i3−2i32i31-11-100000−3i3i3i−3i000000000000000000−333−3−i3i3i3−i30000000000000000000000000000000
χ1114-4-44-24-2-422224-2-4-2-21-202-22-12-11-220000−3i3i3i−3i00000000−232323−23−2i32i32i3−2i31-11-100000−3i3i3i−3i0000000000000000003−3−33i3−i3−i3i30000000000000000000000000000000
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
χ11488-8-8-4-48-4-8-4844-8442-4-402-2-444-444-200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-4-44-4-44444422202-22-2-22-2-2-243−4300−23−2323230000000000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-4-44-4-44444422202-22-2-22-2-2-2−4343002323−23−230000000000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-88-4-44-4-84844-4-8-4-42044-2-4244-2-40000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-44-444-444-442220-2-2-222-2-2-2200−4i34i32i3−2i32i3−2i30000000000000000-111-10002i3−2i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-44-444-444-442220-2-2-222-2-2-22004i3−4i3−2i32i3−2i32i30000000000000000-111-1000−2i32i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1208-8-888-4-444-84-8-4-448-4-4204-4-24-24-4240000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-484-84-84-484-42-4-40-224444-4-4-20000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-444444-4-44-42220-22-2-2-2-222-200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-444444-4-44-42220-22-2-2-2-222-20000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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