Finite Group Databasebeta

← Group #13168521

Character table — Group #13168521

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order1222333446666666664444333666666666121212121212121212124412121212121212123666121212121212121222446666121212121212121212121212121212122244666666121212121212444466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-111-1-11-111-1-11-11-111-1-111-1-111-1-1-1-111
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-11-1-111-111-1-1-111-1-11111-1-111-1-1
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-11-1-1111-111-1-11-1-11-1-11111-1-1-1-11111-1-1
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-111-11-1-111-11-1111-1-1-1-111-1-111-1-111
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-1111111-1-11-111-1-11-111-1-1-11-1111-1-1-1-111-1-11111-1-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-1-1111-111-1-1-11-1-1111-1-11-1-11111-1-1-1-111-1-111
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-11111-1-111-11-1-1111-111-1-1-111-1-1-111-1-11111-1-1-1-111
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-1-1-1-1111111-1-1-11-1-111-11-1-1111-11-111-1-111-1-111-1-111-1-1
χ17222222-122-1222-12-12200002-1-1-1-1-12-1-122-122-1-12222220000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200002222000000002222-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ18222222-122-1222-12-12200002-1-1-1-1-12-1-122-122-1-12222220000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-222220000-2-2-2-200000000-2-2-2-2-1-1-1-1-1-111111100001111000000000000
χ19222222-122-1222-12-12200002-1-1-1-1-12-1-122-122-1-12222220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-20000222200000000-2-2-2-2111111-1-1-1-1-1-100001111000000000000
χ20222222-122-1222-12-12200002-1-1-1-1-12-1-122-122-1-12222220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-20000000022221111111111110000-1-1-1-1000000000000
χ21222222-1-2-2-1222-12-12200002-1-1-1-1-12-1-122-1-2-211-2-2-2-2-2-20000000000-1-1-1-1111111112-22-222-2-2000022-2-20000000022-2-2-11-1-111-11-1-1110000-1-111000000000000
χ22222222-1-2-2-1222-12-12200002-1-1-1-1-12-1-122-1-2-211-2-2-2-2-2-20000000000-1-1-1-1111111112-2-2222-2-20000-2-22200000000-2-222-11-1-1111-111-1-1000011-1-1000000000000
χ23222222-1-2-2-1222-12-12200002-1-1-1-1-12-1-122-1-2-211-2-2-2-2-2-20000000000-1-1-1-111111111-222-2-2-222000022-2-200000000-2-2221-111-1-1-11-1-111000011-1-1000000000000
χ24222222-1-2-2-1222-12-12200002-1-1-1-1-12-1-122-1-2-211-2-2-2-2-2-20000000000-1-1-1-111111111-22-22-2-2220000-2-2220000000022-2-21-111-1-11-111-1-10000-1-111000000000000
χ2522222-12222-12-12222-12222-12-12-1-1-12-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1000022-1-1-1-1000000002200000000-1-1-1-10000
χ2622222-12222-12-12222-12222-12-12-1-1-12-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2001111-1-1220000-1-1-1-1-1-1-1-10000-2-2111100000000-2-20000000011110000
χ2722222-12222-12-12222-1-2-2-2-2-12-12-1-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-12200-1-1-1-111-2-2000011111111000022-1-1-1-100000000-2-20000000011110000
χ2822222-12222-12-12222-1-2-2-2-2-12-12-1-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-1-2-200111111-2-20000111111110000-2-21111000000002200000000-1-1-1-10000
χ2922222-12-2-22-12-12222-12222-12-12-1-1-12-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-1-2-21111112-200-1-11111-2-20000-1-1-1-1111100002-2-1-111000000002-200000000-1-1110000
χ3022222-12-2-22-12-12222-12222-12-12-1-1-12-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-1-2-2111111-220011-1-111-2-20000-1-1-1-111110000-2211-1-100000000-220000000011-1-10000
χ3122222-12-2-22-12-12222-1-2-2-2-2-12-12-1-1-12-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-1-2-21111112-200-1-111-1-12200001111-1-1-1-100002-2-1-11100000000-220000000011-1-10000
χ3222222-12-2-22-12-12222-1-2-2-2-2-12-12-1-1-12-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-1-2-2111111-220011-1-1-1-12200001111-1-1-1-10000-2211-1-1000000002-200000000-1-1110000
χ332222-1222222-122-12-122222-1-12-122-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-10022000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-122000000-1-1-1-100000000
χ342222-1222222-122-12-122222-1-12-122-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-100-2-2000022-1-11111-1-1-1-1-1-1-1-10000000000-2-21111-2-2000000111100000000
χ352222-1222222-122-12-12-2-2-2-2-1-12-122-1-12-1-1-12222-1-1-1-1-1-1-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-100220000-2-211-1-1-1-111111111000000000022-1-1-1-1-2-2000000111100000000
χ362222-1222222-122-12-12-2-2-2-2-1-12-122-1-12-1-1-12222-1-1-1-1-1-1-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-100-2-20000-2-2111111111111110000000000-2-2111122000000-1-1-1-100000000
χ372222-122-2-222-122-12-122222-1-12-122-1-12-1-1-1-2-2-2-2111111-2-2-1-1-1-12222-1-1-1-111-2-21111002-20000-2-211-1-111-1-1-1-1111100000000002-2-1-1112-2000000-1-11100000000
χ382222-122-2-222-122-12-122222-1-12-122-1-12-1-1-1-2-2-2-2111111-2-2-1-1-1-12222-1-1-1-111-2-2111100-220000-2-21111-1-1-1-1-1-111110000000000-2211-1-1-2200000011-1-100000000
χ392222-122-2-222-122-12-12-2-2-2-2-1-12-122-1-12-1-1-1-2-2-2-2111111221111-2-2-2-2-1-1-1-111-2-21111002-2000022-1-1-1-1111111-1-1-1-100000000002-2-1-111-2200000011-1-100000000
χ402222-122-2-222-122-12-12-2-2-2-2-1-12-122-1-12-1-1-1-2-2-2-2111111221111-2-2-2-2-1-1-1-111-2-2111100-22000022-1-111-1-11111-1-1-1-10000000000-2211-1-12-2000000-1-11100000000
χ4122-2-22222-2-22-2-2-2-222-22i2i−2i−2i222-2-2-2222-2-2-22-22-22-222-2-22i−2i2i2i−2i−2i2i2i−2i−2i2-2-222-22-222-2-2000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ4222-2-22222-2-22-2-2-2-222-2−2i−2i2i2i222-2-2-2222-2-2-22-22-22-222-2-2−2i2i−2i−2i2i2i−2i−2i2i2i2-2-222-22-222-2-200000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ4322-2-2222-22-22-2-2-2-222-22i2i−2i−2i222-2-2-2222-2-2-2-22-22-22-2-222−2i2i2i2i−2i−2i2i2i−2i−2i2-2-22-22-22-2-22200000000−2i2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ4422-2-2222-22-22-2-2-2-222-2−2i−2i2i2i222-2-2-2222-2-2-2-22-22-22-2-2222i−2i−2i−2i2i2i−2i−2i2i2i2-2-22-22-22-2-222000000002i−2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ4522-2-22-122-2-2-1-21-2-22212i2i−2i−2i-12-1-211-12-111-2-112-22-2-1-1112i−2i2i2i−2i−2i−i−iii-111-12-2-11-1-1110000−i3i3−i3i3−ii2i−2i0000−i−iii−i−iii000000−i3i3−i3i30000000000000000003−33−30000
χ4622-2-22-122-2-2-1-21-2-22212i2i−2i−2i-12-1-211-12-111-2-112-22-2-1-1112i−2i2i2i−2i−2i−i−iii-111-12-2-11-1-1110000i3−i3i3−i3−ii2i−2i0000−i−iii−i−iii000000i3−i3i3−i3000000000000000000−33−330000
χ4722-2-22-122-2-2-1-21-2-2221−2i−2i2i2i-12-1-211-12-111-2-112-22-2-1-111−2i2i−2i−2i2i2iii−i−i-111-12-2-11-1-1110000−i3i3−i3i3i−i−2i2i0000ii−i−iii−i−i000000−i3i3−i3i3000000000000000000−33−330000
χ4822-2-22-122-2-2-1-21-2-2221−2i−2i2i2i-12-1-211-12-111-2-112-22-2-1-111−2i2i−2i−2i2i2iii−i−i-111-12-2-11-1-1110000i3−i3i3−i3i−i−2i2i0000ii−i−iii−i−i000000i3−i3i3−i30000000000000000003−33−30000
χ4922-2-22-12-22-2-1-21-2-22212i2i−2i−2i-12-1-211-12-111-21-1-22-2211-1-1−2i2i2i2i−2i−2i−i−iii-111-1-221-111-1-10000−i3i3i3−i3i−i−2i2i0000−i−iiiii−i−i000000−i3i3i3−i30000000000000000003−3−330000
χ5022-2-22-12-22-2-1-21-2-22212i2i−2i−2i-12-1-211-12-111-21-1-22-2211-1-1−2i2i2i2i−2i−2i−i−iii-111-1-221-111-1-10000i3−i3−i3i3i−i−2i2i0000−i−iiiii−i−i000000i3−i3−i3i3000000000000000000−333−30000
χ5122-2-22-12-22-2-1-21-2-2221−2i−2i2i2i-12-1-211-12-111-21-1-22-2211-1-12i−2i−2i−2i2i2iii−i−i-111-1-221-111-1-10000−i3i3i3−i3−ii2i−2i0000ii−i−i−i−iii000000−i3i3i3−i3000000000000000000−333−30000
χ5222-2-22-12-22-2-1-21-2-2221−2i−2i2i2i-12-1-211-12-111-21-1-22-2211-1-12i−2i−2i−2i2i2iii−i−i-111-1-221-111-1-10000i3−i3−i3i3−ii2i−2i0000ii−i−i−i−iii000000i3−i3−i3i30000000000000000003−3−330000
χ5322-2-2-1222-2-221-2-212-1-22i2i−2i−2i-1-121-2-2-1-121112-22-2-11-1-1112i−2i−i−iii2i2i−2i−2i-111-1-112-2-1-111000000002i−2i−ii3−33−3−i−iii−i−iii0000000000003−33−300000000−i3i3−i3i300000000
χ5422-2-2-1222-2-221-2-212-1-22i2i−2i−2i-1-121-2-2-1-121112-22-2-11-1-1112i−2i−i−iii2i2i−2i−2i-111-1-112-2-1-111000000002i−2i−ii−33−33−i−iii−i−iii000000000000−33−3300000000i3−i3i3−i300000000
χ5522-2-2-1222-2-221-2-212-1-2−2i−2i2i2i-1-121-2-2-1-121112-22-2-11-1-111−2i2iii−i−i−2i−2i2i2i-111-1-112-2-1-11100000000−2i2ii−i3−33−3ii−i−iii−i−i0000000000003−33−300000000i3−i3i3−i300000000
χ5622-2-2-1222-2-221-2-212-1-2−2i−2i2i2i-1-121-2-2-1-121112-22-2-11-1-111−2i2iii−i−i−2i−2i2i2i-111-1-112-2-1-11100000000−2i2ii−i−33−33ii−i−iii−i−i000000000000−33−3300000000−i3i3−i3i300000000
χ5722-2-2-122-22-221-2-212-1-22i2i−2i−2i-1-121-2-2-1-12111-22-221-111-1-1−2i2i−i−iii2i2i−2i−2i-111-11-1-2211-1-100000000−2i2ii−i3−3−33−i−iiiii−i−i0000000000003−3−3300000000−i3i3i3−i300000000
χ5822-2-2-122-22-221-2-212-1-22i2i−2i−2i-1-121-2-2-1-12111-22-221-111-1-1−2i2i−i−iii2i2i−2i−2i-111-11-1-2211-1-100000000−2i2ii−i−333−3−i−iiiii−i−i000000000000−333−300000000i3−i3−i3i300000000
χ5922-2-2-122-22-221-2-212-1-2−2i−2i2i2i-1-121-2-2-1-12111-22-221-111-1-12i−2iii−i−i−2i−2i2i2i-111-11-1-2211-1-1000000002i−2i−ii3−3−33ii−i−i−i−iii0000000000003−3−3300000000i3−i3−i3i300000000
χ6022-2-2-122-22-221-2-212-1-2−2i−2i2i2i-1-121-2-2-1-12111-22-221-111-1-12i−2iii−i−i−2i−2i2i2i-111-11-1-2211-1-1000000002i−2i−ii−333−3ii−i−i−i−iii000000000000−333−300000000−i3i3i3−i300000000
χ612-22-222200-2-2-2222-2-2-22i−2i2i−2i222-22-2-2-2-22-220000000000002i−2i2i−2i2i−2i2i−2i22-2-20000000000000000000000002i−2i2i−2i00002-20000000000000000002-20000000000002i−2i
χ622-22-222200-2-2-2222-2-2-22i−2i2i−2i222-22-2-2-2-22-220000000000002i−2i2i−2i2i−2i2i−2i22-2-20000000000000000000000002i−2i2i−2i0000-22000000000000000000-22000000000000−2i2i
χ632-22-222200-2-2-2222-2-2-2−2i2i−2i2i222-22-2-2-2-22-22000000000000−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000000000−2i2i−2i2i00002-20000000000000000002-2000000000000−2i2i
χ642-22-222200-2-2-2222-2-2-2−2i2i−2i2i222-22-2-2-2-22-22000000000000−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000000000−2i2i−2i2i0000-22000000000000000000-220000000000002i−2i
χ652-2-22222002-22-2-2-2-2-222-2-222222-22-2-2-2-22-20000000000002-2-222-2-222-22-20000000000000000000000002-2-220000002i−2i0000000000000000002i−2i000000002i−2i00
χ662-2-22222002-22-2-2-2-2-222-2-222222-22-2-2-2-22-20000000000002-2-222-2-222-22-20000000000000000000000002-2-22000000−2i2i000000000000000000−2i2i00000000−2i2i00
χ672-2-22222002-22-2-2-2-2-22-222-22222-22-2-2-2-22-2000000000000-222-2-222-22-22-2000000000000000000000000-222-20000002i−2i0000000000000000002i−2i00000000−2i2i00
χ682-2-22222002-22-2-2-2-2-22-222-22222-22-2-2-2-22-2000000000000-222-2-222-22-22-2000000000000000000000000-222-2000000−2i2i000000000000000000−2i2i000000002i−2i00
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χ7144444-2-2-4-4-2-24-2-24-24-20000-2-21-211-2-21-2-2-22222-4-422220000000000111122-1-1-1-1-1-14-400-2-22200000000000000000000-2211-1-100000000000000000000000000
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χ734444-24-244-24-24-2-2-2-240000-21-21-2-2-21-2-2-2144-2-2-2-2-2-2-2-20000000000111111-2-21111004400000000-2-2-2-2000000000000000000-2-2111100000000000000000000
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χ794444-2-24-4-44-2-2-24-24-2-244441-2-2-2-2-21-2-211-222-4-422-1-1-1-1-4-4-2-2-2-2-2-2-2-211112222-1-1-1-100000000222200001111-1-1-1-1000000000000000000000000000000000000
χ804444-2-24-4-44-2-2-24-24-2-2-4-4-4-41-2-2-2-2-21-2-211-222-4-422-1-1-1-1442222222211112222-1-1-1-100000000-2-2-2-20000-1-1-1-11111000000000000000000000000000000000000
χ8144-4-444-24-424-4-42-4-24-400004-2-22224-2-2-4-424-4-224-444-4-40000000000-222-2-22-22-2-222000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-2-4424-4-42-4-24-400004-2-22224-2-2-4-42-442-2-44-4-4440000000000-222-22-22-222-2-2000000000000000000000000000000000000000000000000000000000000
χ8344-4-44-2-24-42-2-422-4-2420000-2-212-1-1-2-21222-22-224-4-2-22200000000001-1-11-221-111-1-10000−2i32i3−2i32i30000000000000000000000i3−i3i3−i300000000000000000000000000
χ8444-4-44-2-24-42-2-422-4-2420000-2-212-1-1-2-21222-22-224-4-2-22200000000001-1-11-221-111-1-100002i3−2i32i3−2i30000000000000000000000−i3i3−i3i300000000000000000000000000
χ8544-4-44-2-2-442-2-422-4-2420000-2-212-1-1-2-212222-22-2-4422-2-200000000001-1-112-2-11-1-1110000−2i32i32i3−2i30000000000000000000000i3−i3−i3i300000000000000000000000000
χ8644-4-44-2-2-442-2-422-4-2420000-2-212-1-1-2-212222-22-2-4422-2-200000000001-1-112-2-11-1-11100002i3−2i3−2i32i30000000000000000000000−i3i3i3−i300000000000000000000000000
χ8744-4-4-24-24-4242-422-2-2-40000-21-2-122-21-222-14-4-22-22-2-22200000000001-1-111-1-2211-1-100000000000023−2323−2300000000000000000000−33−3300000000000000000000
χ8844-4-4-24-24-4242-422-2-2-40000-21-2-122-21-222-14-4-22-22-2-22200000000001-1-111-1-2211-1-1000000000000−2323−2323000000000000000000003−33−300000000000000000000
χ8944-4-4-24-2-44242-422-2-2-40000-21-2-122-21-222-1-442-22-222-2-200000000001-1-11-112-2-1-11100000000000023−23−232300000000000000000000−333−300000000000000000000
χ9044-4-4-24-2-44242-422-2-2-40000-21-2-122-21-222-1-442-22-222-2-200000000001-1-11-112-2-1-111000000000000−232323−23000000000000000000003−3−3300000000000000000000
χ9144-4-4-2-244-4-4-222-424-224i4i−4i−4i1-2-22221-2-2-1-12-224-4-2211-1-14i−4i−2i−2i2i2i−2i−2i2i2i1-1-11-22-2211-1-100000000−2i2i−2i2i0000ii−i−iii−i−i000000000000000000000000000000000000
χ9244-4-4-2-244-4-4-222-424-22−4i−4i4i4i1-2-22221-2-2-1-12-224-4-2211-1-1−4i4i2i2i−2i−2i2i2i−2i−2i1-1-11-22-2211-1-1000000002i−2i2i−2i0000−i−iii−i−iii000000000000000000000000000000000000
χ9344-4-4-2-24-44-4-222-424-224i4i−4i−4i1-2-22221-2-2-1-122-2-442-2-1-111−4i4i−2i−2i2i2i−2i−2i2i2i1-1-112-22-2-1-111000000002i−2i2i−2i0000ii−i−i−i−iii000000000000000000000000000000000000
χ9444-4-4-2-24-44-4-222-424-22−4i−4i4i4i1-2-22221-2-2-1-122-2-442-2-1-1114i−4i2i2i−2i−2i2i2i−2i−2i1-1-112-22-2-1-11100000000−2i2i−2i2i0000−i−iiiii−i−i000000000000000000000000000000000000
χ954-44-444-2002-4-44-242-4-400004-2-22-22-4224-4-200000000000000000000-2-222000000000000000000000000000000004-4000000000000000000-2200000000000000
χ964-44-444-2002-4-44-242-4-400004-2-22-22-4224-4-200000000000000000000-2-22200000000000000000000000000000000-440000000000000000002-200000000000000
χ974-44-44-2400-42-4-244-4-424i−4i4i−4i-24-2-4-222-42-2240000000000004i−4i4i−4i−2i2i−2i2i-2-222000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ984-44-44-2400-42-4-244-4-42−4i4i−4i4i-24-2-4-222-42-224000000000000−4i4i−4i4i2i−2i2i−2i-2-2220000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ994-44-4-24400-4-4244-2-42-44i−4i4i−4i-2-2424-422-4-22-2000000000000−2i2i−2i2i4i−4i4i−4i-2-222000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ1004-44-4-24400-4-4244-2-42-4−4i4i−4i4i-2-2424-422-4-22-20000000000002i−2i2i−2i−4i4i−4i4i-2-2220000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ1014-44-4-2-2400-422-24-2-4224i−4i4i−4i1-2-22-22-1221-1-20000003i−3i3i−3i00−2i2i−2i2i−2i2i−2i2i11-1-100003i−3i3i−3i0000000000000000i−ii−i3-33-3000000000000000000000000000000000000
χ1024-44-4-2-2400-422-24-2-4224i−4i4i−4i1-2-22-22-1221-1-2000000−3i3i−3i3i00−2i2i−2i2i−2i2i−2i2i11-1-10000−3i3i−3i3i0000000000000000i−ii−i-33-33000000000000000000000000000000000000
χ1034-44-4-2-2400-422-24-2-422−4i4i−4i4i1-2-22-22-1221-1-20000003i−3i3i−3i002i−2i2i−2i2i−2i2i−2i11-1-100003i−3i3i−3i0000000000000000−ii−ii-33-33000000000000000000000000000000000000
χ1044-44-4-2-2400-422-24-2-422−4i4i−4i4i1-2-22-22-1221-1-2000000−3i3i−3i3i002i−2i2i−2i2i−2i2i−2i11-1-10000−3i3i−3i3i0000000000000000−ii−ii3-33-3000000000000000000000000000000000000
χ1054-4-4444-200-2-44-42-42-4400004-2-2-22-2-422-44200000000000000000000-22-2200000000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ1064-4-4444-200-2-44-42-42-4400004-2-2-22-2-422-44200000000000000000000-22-220000000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ1074-4-444-24004242-4-4-4-4-24-4-44-24-242-22-422-2-40000000000004-4-44-222-2-22-22000000000000000000000000-222-20000000000000000000000000000000000000000
χ1084-4-444-24004242-4-4-4-4-2-444-4-24-242-22-422-2-4000000000000-444-42-2-22-22-220000000000000000000000002-2-220000000000000000000000000000000000000000
χ1094-4-44-244004-4-2-4-42-4244-4-44-2-24-2-4422-42-22000000000000-222-24-4-44-22-22000000000000000000000000-222-20000000000000000000000000000000000000000
χ1104-4-44-244004-4-2-4-42-424-444-4-2-24-2-4422-42-220000000000002-2-22-444-4-22-220000000000000000000000002-2-220000000000000000000000000000000000000000
χ1114-4-44-2-240042-22-42-42-24-4-441-2-2-22-2-122-1120000003i−3i−3i3i00-222-2-222-21-11-100003i−3i−3i3i00000000000000001-1-11−3i3i3i−3i000000000000000000000000000000000000
χ1124-4-44-2-240042-22-42-42-24-4-441-2-2-22-2-122-112000000−3i3i3i−3i00-222-2-222-21-11-10000−3i3i3i−3i00000000000000001-1-113i−3i−3i3i000000000000000000000000000000000000
χ1134-4-44-2-240042-22-42-42-2-444-41-2-2-22-2-122-1120000003i−3i−3i3i002-2-222-2-221-11-100003i−3i−3i3i0000000000000000-111-13i−3i−3i3i000000000000000000000000000000000000
χ1144-4-44-2-240042-22-42-42-2-444-41-2-2-22-2-122-112000000−3i3i3i−3i002-2-222-2-221-11-10000−3i3i3i−3i0000000000000000-111-1−3i3i3i−3i000000000000000000000000000000000000
χ1158888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-8-8-4-4-4-4-4-4-4-4-40000222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-48-84-44444-4-440000222-2-2-2222-2-2-2-44-44-4422-2-20000000000-111-12-22-2-1-111000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-4-884-44444-4-440000222-2-2-2222-2-2-24-44-44-4-2-2220000000000-111-1-22-2211-1-1000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4-40044-8-4-484-840000-4-4242-244-2-44-40000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-4004-848-4-444-80000-42-4-2-444-24-4420000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-400444-4-4-44440000222-22-2-2-2-22-220000006i−6i6i−6i0000000000-1-1110000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-400444-4-4-44440000222-22-2-2-2-22-22000000−6i6i−6i6i0000000000-1-11100003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1238-8-888-4-400-44844-84-8-40000-4-42-4-2244-24-44000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-48-400-4-8-4-8444480000-42-424-44-244-4-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-400-44-444444-400002222-22-2-2-2-22-20000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-400-44-444444-400002222-22-2-2-2-22-2000000−6i6i6i−6i0000000000-11-1100003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000

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