Finite Group Databasebeta

← Group #13155635

Character table — Group #13155635

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122233344666666666444433366666666612121212121212121212441212121212121212366612121212121212122244666612121212121212121212121212121212888866666612121212121244441212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111
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
χ91-11-1111-11-111-1-1-1-11-1ii−i−i111-1-1-1111-1-1-111-11-111-1-1-1i−iii−i−iii−i−i1-1-1111-1-111-1-11-1i−i11-1-1i−ii−iii−i−iiiii−i−i−i−iii−i−i1-111-1-1i−iii−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1
χ101-11-1111-11-111-1-1-1-11-1ii−i−i111-1-1-1111-1-1-111-11-111-1-1-1i−iii−i−iii−i−i1-1-1111-1-111-1-11-1−ii11-1-1i−ii−i−i−iiiiiii−i−i−i−i−i−iii1-111-1-1−ii−i−iii-11i−i-1-111ii−i−i−i−iii-1-111
χ111-11-1111-11-111-1-1-1-11-1ii−i−i111-1-1-1111-1-1-111-11-111-1-1-1i−iii−i−iii−i−i1-1-1111-1-111-1-1-11i−i-1-111i−ii−iii−i−iiiii−i−i−i−i−i−iii-11-1-111i−iii−i−i1-1−ii11-1-1−i−iii−i−iii-1-111
χ121-11-1111-11-111-1-1-1-11-1ii−i−i111-1-1-1111-1-1-111-11-111-1-1-1i−iii−i−iii−i−i1-1-1111-1-111-1-1-11−ii-1-111i−ii−i−i−iiiiiii−i−i−i−iii−i−i-11-1-111−ii−i−iii-11−ii-1-111−i−iiiii−i−i11-1-1
χ131-11-1111-11-111-1-1-1-11-1−i−iii111-1-1-1111-1-1-111-11-111-1-1-1−ii−i−iii−i−iii1-1-1111-1-111-1-11-1i−i11-1-1−ii−iiii−i−i−i−i−i−iiiiiii−i−i1-111-1-1i−iii−i−i-11−ii-1-111−i−iiiii−i−i-1-111
χ141-11-1111-11-111-1-1-1-11-1−i−iii111-1-1-1111-1-1-111-11-111-1-1-1−ii−i−iii−i−iii1-1-1111-1-111-1-11-1−ii11-1-1−ii−ii−i−iii−i−i−i−iiiii−i−iii1-111-1-1−ii−i−iii1-1−ii11-1-1−i−iii−i−iii11-1-1
χ151-11-1111-11-111-1-1-1-11-1−i−iii111-1-1-1111-1-1-111-11-111-1-1-1−ii−i−iii−i−iii1-1-1111-1-111-1-1-11i−i-1-111−ii−iiii−i−i−i−i−i−iiiii−i−iii-11-1-111i−iii−i−i-11i−i-1-111ii−i−i−i−iii11-1-1
χ161-11-1111-11-111-1-1-1-11-1−i−iii111-1-1-1111-1-1-111-11-111-1-1-1−ii−i−iii−i−iii1-1-1111-1-111-1-1-11−ii-1-111−ii−ii−i−iii−i−i−i−iiiiiii−i−i-11-1-111−ii−i−iii1-1i−i11-1-1ii−i−iii−i−i-1-111
χ172222222-2-22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000
χ182222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000022220000-2-222-2-222000000000000000000000000000000000000
χ19222222-12222-12-1222-122222-1-12-1-12-1-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-1-1-12-12-1-1-1-1-12200-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1000022-1-1-1-100000000220000-1-1-1-100000000
χ20222222-12222-12-1222-122222-1-12-1-12-1-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2001111-1-1220000-1-1-1-1-1-1-1-10000-2-2111100000000-2-20000111100000000
χ21222222-12222-12-1222-1-2-2-2-22-1-12-1-12-1-1-1-122-1-122-1-1-1-12-2-2-2-2-2-21111-1-1-1-12-12-1-1-1-1-12200-1-1-1-111-2-2000011111111000022-1-1-1-100000000-2-20000111100000000
χ22222222-12222-12-1222-1-2-2-2-22-1-12-1-12-1-1-1-122-1-122-1-1-1-12-2-2-2-2-2-21111-1-1-1-12-12-1-1-1-1-1-2-200111111-2-20000111111110000-2-2111100000000220000-1-1-1-100000000
χ23222222-1-2-222-12-1222-122222-1-12-1-12-1-1-1-12-211-2-21111-2-2-22222-1-1-1-1-1-1-1-1-21-2111110000−i3i3−i3i311-2-20000-1-111-1-111000000−i3i3−i3i300000000000000−i3i3−i3i300000000
χ24222222-1-2-222-12-1222-122222-1-12-1-12-1-1-1-12-211-2-21111-2-2-22222-1-1-1-1-1-1-1-1-21-2111110000i3−i3i3−i311-2-20000-1-111-1-111000000i3−i3i3−i300000000000000i3−i3i3−i300000000
χ25222222-1-2-222-12-1222-1-2-2-2-22-1-12-1-12-1-1-1-12-211-2-21111-222-2-2-2-21111-1-1-1-1-21-2111110000−i3i3−i3i3-1-122000011-1-111-1-1000000−i3i3−i3i300000000000000i3−i3i3−i300000000
χ26222222-1-2-222-12-1222-1-2-2-2-22-1-12-1-12-1-1-1-12-211-2-21111-222-2-2-2-21111-1-1-1-1-21-2111110000i3−i3i3−i3-1-122000011-1-111-1-1000000i3−i3i3−i300000000000000−i3i3−i3i300000000
χ2722222-1222-1-1222-12220000-12-1-1-1-1-12-122-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200002222000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ2822222-1222-1-1222-12220000-12-1-1-1-1-12-122-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-222220000-2-2-2-200000000-2-2-2-2-1-1-1-1-1-111111100000000000011110000
χ2922222-1222-1-1222-12220000-12-1-1-1-1-12-122-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-20000222200000000-2-2-2-2111111-1-1-1-1-1-100000000000011110000
χ3022222-1222-1-1222-12220000-12-1-1-1-1-12-122-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2000000002222111111111111000000000000-1-1-1-10000
χ312222-12222222-122-1-122222-1-12-122-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-12-12-1-1-1-10022000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-12200-1-1-1-1000000000000
χ322222-12222222-122-1-122222-1-12-122-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-12-12-1-1-1-100-2-2000022-1-11111-1-1-1-1-1-1-1-10000000000-2-21111-2-2001111000000000000
χ332222-12222222-122-1-12-2-2-2-2-1-12-122-1-12-1-1-1222-1-1-1-1-1-12-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-100220000-2-211-1-1-1-111111111000000000022-1-1-1-1-2-2001111000000000000
χ342222-12222222-122-1-12-2-2-2-2-1-12-122-1-12-1-1-1222-1-1-1-1-1-12-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-100-2-20000-2-2111111111111110000000000-2-211112200-1-1-1-1000000000000
χ352222-122-2-2222-122-1-122222-1-12-122-1-12-1-1-1-2-2-2111111-2-2-2-1-1-1-12222-1-1-1-11-21-2111100000000-2-211−i3i3−i3i3-1-111-1-111000000000000−i3i3−i3i30000−i3i3−i3i3000000000000
χ362222-122-2-2222-122-1-122222-1-12-122-1-12-1-1-1-2-2-2111111-2-2-2-1-1-1-12222-1-1-1-11-21-2111100000000-2-211i3−i3i3−i3-1-111-1-111000000000000i3−i3i3−i30000i3−i3i3−i3000000000000
χ372222-122-2-2222-122-1-12-2-2-2-2-1-12-122-1-12-1-1-1-2-2-2111111-2221111-2-2-2-2-1-1-1-11-21-211110000000022-1-1−i3i3−i3i311-1-111-1-1000000000000−i3i3−i3i30000i3−i3i3−i3000000000000
χ382222-122-2-2222-122-1-12-2-2-2-2-1-12-122-1-12-1-1-1-2-2-2111111-2221111-2-2-2-2-1-1-1-11-21-211110000000022-1-1i3−i3i3−i311-1-111-1-1000000000000i3−i3i3−i30000−i3i3−i3i3000000000000
χ3922-2-222200-2-2-2-2222-2-22i−2i2i−2i222-22-2-2-2-22-220000000000002i−2i2i−2i2i−2i2i−2i22-2-20000000000000000000000002i−2i002i−2i002−22−20000000000000000000000002−22−2−i2i2−i2i2
χ4022-2-222200-2-2-2-2222-2-22i−2i2i−2i222-22-2-2-2-22-220000000000002i−2i2i−2i2i−2i2i−2i22-2-20000000000000000000000002i−2i002i−2i00−22−22000000000000000000000000−22−22i2−i2i2−i2
χ4122-2-222200-2-2-2-2222-2-2−2i2i−2i2i222-22-2-2-2-22-22000000000000−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000000000−2i2i00−2i2i002−22−20000000000000000000000002−22−2i2−i2i2−i2
χ4222-2-222200-2-2-2-2222-2-2−2i2i−2i2i222-22-2-2-2-22-22000000000000−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000000000−2i2i00−2i2i00−22−22000000000000000000000000−22−22−i2i2−i2i2
χ432-22-22222-2-222-2-2-2-22-22i2i−2i−2i222-2-2-2222-2-2-2-2-22-22-2-2222−2i2i2i2i−2i−2i2i2i−2i−2i2-2-22-2-222-2-22200000000−2i2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ442-22-22222-2-222-2-2-2-22-2−2i−2i2i2i222-2-2-2222-2-2-2-2-22-22-2-22222i−2i−2i−2i2i2i−2i−2i2i2i2-2-22-2-222-2-222000000002i−2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ452-22-222-12-2-22-1-21-2-2212i2i−2i−2i2-1-1-2112-1-111-2-21-1-2211-1-12−2i2i2i2i−2i−2i−i−iii-111-1-212-111-1-10000−i3i3i3−i3i−i−2i2i0000−i−iiiii−i−i000000−i3i3i3−i3000000000000003−3−3300000000
χ462-22-222-12-2-22-1-21-2-2212i2i−2i−2i2-1-1-2112-1-111-2-21-1-2211-1-12−2i2i2i2i−2i−2i−i−iii-111-1-212-111-1-10000i3−i3−i3i3i−i−2i2i0000−i−iiiii−i−i000000i3−i3−i3i300000000000000−333−300000000
χ472-22-222-12-2-22-1-21-2-221−2i−2i2i2i2-1-1-2112-1-111-2-21-1-2211-1-122i−2i−2i−2i2i2iii−i−i-111-1-212-111-1-10000−i3i3i3−i3−ii2i−2i0000ii−i−i−i−iii000000−i3i3i3−i300000000000000−333−300000000
χ482-22-222-12-2-22-1-21-2-221−2i−2i2i2i2-1-1-2112-1-111-2-21-1-2211-1-122i−2i−2i−2i2i2iii−i−i-111-1-212-111-1-10000i3−i3−i3i3−ii2i−2i0000ii−i−i−i−iii000000i3−i3−i3i3000000000000003−3−3300000000
χ492-22-222-1-22-22-1-21-2-2212i2i−2i−2i2-1-1-2112-1-111-22-112-2-1-111-22i−2i2i2i−2i−2i−i−iii-111-12-1-21-1-1112-200-1-111−ii2i−2i0000−i−i−i−iiiii00002-2-1-111000000002i−2i0000−i−iii00000000
χ502-22-222-1-22-22-1-21-2-2212i2i−2i−2i2-1-1-2112-1-111-22-112-2-1-111-22i−2i2i2i−2i−2i−i−iii-111-12-1-21-1-111-220011-1-1−ii2i−2i0000−i−i−i−iiiii0000-2211-1-100000000−2i2i0000ii−i−i00000000
χ512-22-222-1-22-22-1-21-2-221−2i−2i2i2i2-1-1-2112-1-111-22-112-2-1-111-2−2i2i−2i−2i2i2iii−i−i-111-12-1-21-1-1112-200-1-111i−i−2i2i0000iiii−i−i−i−i00002-2-1-11100000000−2i2i0000ii−i−i00000000
χ522-22-222-1-22-22-1-21-2-221−2i−2i2i2i2-1-1-2112-1-111-22-112-2-1-111-2−2i2i−2i−2i2i2iii−i−i-111-12-1-21-1-111-220011-1-1i−i−2i2i0000iiii−i−i−i−i0000-2211-1-1000000002i−2i0000−i−iii00000000
χ532-22-22-12-221-12-2-21-22-20000-12-1111-12-1-2-21-12-22-222-2-210000000000-111-1-1-111-1-1112-22i−2i22-2-200002i2i−2i−2i000000002i2i−2i−2i-11-1-111−ii−i−iii000000000000−i−iii0000
χ542-22-22-12-221-12-2-21-22-20000-12-1111-12-1-2-21-12-22-222-2-210000000000-111-1-1-111-1-1112-2−2i2i22-2-20000−2i−2i2i2i00000000−2i−2i2i2i-11-1-111i−iii−i−i000000000000ii−i−i0000
χ552-22-22-12-221-12-2-21-22-20000-12-1111-12-1-2-21-12-22-222-2-210000000000-111-1-1-111-1-111-222i−2i-2-22200002i2i−2i−2i00000000−2i−2i2i2i1-111-1-1−ii−i−iii000000000000ii−i−i0000
χ562-22-22-12-221-12-2-21-22-20000-12-1111-12-1-2-21-12-22-222-2-210000000000-111-1-1-111-1-111-22−2i2i-2-2220000−2i−2i2i2i000000002i2i−2i−2i1-111-1-1i−iii−i−i000000000000−i−iii0000
χ572-22-2-1222-2-2221-2-21-1-22i2i−2i−2i-1-121-2-2-1-12111-2-221-111-1-12−2i2i−i−iii2i2i−2i−2i-111-11-2-1211-1-100000000−2i2ii−i3−3−33−i−iiiii−i−i0000000000003−3−330000−i3i3i3−i3000000000000
χ582-22-2-1222-2-2221-2-21-1-22i2i−2i−2i-1-121-2-2-1-12111-2-221-111-1-12−2i2i−i−iii2i2i−2i−2i-111-11-2-1211-1-100000000−2i2ii−i−333−3−i−iiiii−i−i000000000000−333−30000i3−i3−i3i3000000000000
χ592-22-2-1222-2-2221-2-21-1-2−2i−2i2i2i-1-121-2-2-1-12111-2-221-111-1-122i−2iii−i−i−2i−2i2i2i-111-11-2-1211-1-1000000002i−2i−ii3−3−33ii−i−i−i−iii0000000000003−3−330000i3−i3−i3i3000000000000
χ602-22-2-1222-2-2221-2-21-1-2−2i−2i2i2i-1-121-2-2-1-12111-2-221-111-1-122i−2iii−i−i−2i−2i2i2i-111-11-2-1211-1-1000000002i−2i−ii−333−3ii−i−i−i−iii000000000000−333−30000−i3i3i3−i3000000000000
χ612-22-2-122-22-2221-2-21-1-22i2i−2i−2i-1-121-2-2-1-1211122-2-11-1-111-22i−2i−i−iii2i2i−2i−2i-111-1-121-2-1-111002i−2i00002i−2i−ii−i−iii−i−i−i−iiiii00000000002i−2i−i−iii2-200-1-111000000000000
χ622-22-2-122-22-2221-2-21-1-22i2i−2i−2i-1-121-2-2-1-1211122-2-11-1-111-22i−2i−i−iii2i2i−2i−2i-111-1-121-2-1-11100−2i2i00002i−2i−iiii−i−i−i−i−i−iiiii0000000000−2i2iii−i−i-220011-1-1000000000000
χ632-22-2-122-22-2221-2-21-1-2−2i−2i2i2i-1-121-2-2-1-1211122-2-11-1-111-2−2i2iii−i−i−2i−2i2i2i-111-1-121-2-1-111002i−2i0000−2i2ii−i−i−iiiiiii−i−i−i−i00000000002i−2i−i−iii-220011-1-1000000000000
χ642-22-2-122-22-2221-2-21-1-2−2i−2i2i2i-1-121-2-2-1-1211122-2-11-1-111-2−2i2iii−i−i−2i−2i2i2i-111-1-121-2-1-11100−2i2i0000−2i2ii−iii−i−iiiii−i−i−i−i0000000000−2i2iii−i−i2-200-1-111000000000000
χ652-2-22222002-2-22-2-2-2-222-2-222222-22-2-2-2-22-20000000000002-2-222-2-222-22-20000000000000000000000002-200-2200−i2i2i2−i2000000000000000000000000−i2i2i2−i2−i2i2i2−i2
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χ6944444-24-4-4-2-2444-24440000-24-2-2-2-2-24-244-22-4-4-4-4-4-4-4-420000000000-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000
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χ7244444-2-2-4-4-2-2-24-2-244-20000-2-21-211-2-21-2-2-2222-4-422222000000000011112-12-1-1-1-1-10000−2i32i3−2i32i30000000000000000000000i3−i3i3−i300000000000000000000000000
χ7344444-2-2-4-4-2-2-24-2-244-20000-2-21-211-2-21-2-2-2222-4-422222000000000011112-12-1-1-1-1-100002i3−2i32i3−2i30000000000000000000000−i3i3−i3i300000000000000000000000000
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χ754444-24-24444-2-2-24-2-2-2-4-4-4-4-21-2-2-2-2-21-211-24-2-2-2-211114-4-4222222221111-2-2-2-211110000000022220000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
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χ774444-24-2-4-444-2-2-24-2-2-2-4-4-4-4-21-2-2-2-2-21-211-2-42222-1-1-1-1-4442222222211112222-1-1-1-100000000-2-2-2-20000-1-111-1-111000000000000000000000000000000000000
χ784444-2-2444-2-24-24-2-2-2400001-2-21-2-21-2-2-2-21-244-2-2-2-2-2-2-2000000000011111-21-21111004400000000-2-2-2-2000000000000000000-2-2111100000000000000000000
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χ814444-2-24-4-4-2-24-24-2-2-2400001-2-21-2-21-2-2-2-212-4-4222222200000000001111-12-12-1-1-1-10000000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i300000000000000000000
χ8244-4-444-200-4-42-4-244-424i−4i4i−4i4-2-2-4-22-422-2240000000000004i−4i4i−4i−2i2i−2i2i-2-222000000000000000000000000−2i2i00−2i2i00000000000000000000000000000000000000
χ8344-4-444-200-4-42-4-244-42−4i4i−4i4i4-2-2-4-22-422-224000000000000−4i4i−4i4i2i−2i2i−2i-2-2220000000000000000000000002i−2i002i−2i00000000000000000000000000000000000000
χ8444-4-44-240022-4-44-24-4-40000-24-22-222-424-4-200000000000000000000-2-2220000000000000000000000000000000022−2222−22000000000000000000000000−22−220000
χ8544-4-44-240022-4-44-24-4-40000-24-22-222-424-4-200000000000000000000-2-22200000000000000000000000000000000−2222−22220000000000000000000000002−22−20000
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χ8744-4-4-24400-4-4-4244-22-4−4i4i−4i4i-2-2424-422-4-22-20000000000002i−2i2i−2i−4i4i−4i4i-2-2220000000000000000000000002i−2i002i−2i00000000000000000000000000000000000000
χ8844-4-4-24-200-4-422-24-2224i−4i4i−4i-21-22-222-121-1-2000003i−3i3i−3i000−2i2i−2i2i−2i2i−2i2i11-1-100003i−3i3i−3i0000000000000000i−i3-3i−i3-3000000000000000000000000000000000000
χ8944-4-4-24-200-4-422-24-2224i−4i4i−4i-21-22-222-121-1-200000−3i3i−3i3i000−2i2i−2i2i−2i2i−2i2i11-1-10000−3i3i−3i3i0000000000000000i−i-33i−i-33000000000000000000000000000000000000
χ9044-4-4-24-200-4-422-24-222−4i4i−4i4i-21-22-222-121-1-2000003i−3i3i−3i0002i−2i2i−2i2i−2i2i−2i11-1-100003i−3i3i−3i0000000000000000−ii-33−ii-33000000000000000000000000000000000000
χ9144-4-4-24-200-4-422-24-222−4i4i−4i4i-21-22-222-121-1-200000−3i3i−3i3i0002i−2i2i−2i2i−2i2i−2i11-1-10000−3i3i−3i3i0000000000000000−ii3-3−ii3-3000000000000000000000000000000000000
χ924-44-44-244-42-24-4-42-44-40000-24-2222-24-2-4-422-44-44-4-444-20000000000-222-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ934-44-44-2-24-42-2-2-422-4420000-2-212-1-1-2-2122222-2-4422-2-2-200000000001-1-112-1-21-1-1110000−2i32i32i3−2i30000000000000000000000i3−i3−i3i300000000000000000000000000
χ944-44-44-2-24-42-2-2-422-4420000-2-212-1-1-2-2122222-2-4422-2-2-200000000001-1-112-1-21-1-11100002i3−2i3−2i32i30000000000000000000000−i3i3i3−i300000000000000000000000000
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χ974-44-4-24-24-4-44-222-42-224i4i−4i−4i-21-2222-21-2-1-12-42-22-2-1-1114−4i4i−2i−2i2i2i−2i−2i2i2i1-1-1122-2-2-1-111000000002i−2i2i−2i0000ii−i−i−i−iii000000000000000000000000000000000000
χ984-44-4-24-24-4-44-222-42-22−4i−4i4i4i-21-2222-21-2-1-12-42-22-2-1-11144i−4i2i2i−2i−2i2i2i−2i−2i1-1-1122-2-2-1-11100000000−2i2i−2i2i0000−i−iiiii−i−i000000000000000000000000000000000000
χ994-44-4-24-2-44-44-222-42-224i4i−4i−4i-21-2222-21-2-1-124-22-2211-1-1-44i−4i−2i−2i2i2i−2i−2i2i2i1-1-11-2-22211-1-100000000−2i2i−2i2i0000iiii−i−i−i−i000000000000000000000000000000000000
χ1004-44-4-24-2-44-44-222-42-22−4i−4i4i4i-21-2222-21-2-1-124-22-2211-1-1-4−4i4i2i2i−2i−2i2i2i−2i−2i1-1-11-2-22211-1-1000000002i−2i2i−2i0000−i−i−i−iiiii000000000000000000000000000000000000
χ1014-44-4-2-244-42-242-422-2-400001-2-2-1221-2-222-12-442-222-2-2-200000000001-1-11-121-2-1-11100000000000023−23−232300000000000000000000−333−300000000000000000000
χ1024-44-4-2-244-42-242-422-2-400001-2-2-1221-2-222-12-442-222-2-2-200000000001-1-11-121-2-1-111000000000000−232323−23000000000000000000003−3−3300000000000000000000
χ1034-44-4-2-24-442-242-422-2-400001-2-2-1221-2-222-1-24-4-22-2-222200000000001-1-111-2-1211-1-1004i−4i00000000−2i−2i2i2i000000000000000000−2i2iii−i−i00000000000000000000
χ1044-44-4-2-24-442-242-422-2-400001-2-2-1221-2-222-1-24-4-22-2-222200000000001-1-111-2-1211-1-100−4i4i000000002i2i−2i−2i0000000000000000002i−2i−i−iii00000000000000000000
χ1054-4-4444-2004-4242-4-4-4-24-4-444-2-242-2-4222-2-40000000000004-4-44-222-2-22-22000000000000000000000000-22002-200000000000000000000000000000000000000
χ1064-4-4444-2004-4242-4-4-4-2-444-44-2-242-2-4222-2-4000000000000-444-42-2-22-22-220000000000000000000000002-200-2200000000000000000000000000000000000000
χ1074-4-444-2400-22-44-42-4-440000-24-2-22-22-42-44200000000000000000000-22-2200000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000
χ1084-4-444-2400-22-44-42-4-440000-24-2-22-22-42-44200000000000000000000-22-22000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000
χ1094-4-44-244004-4-4-2-4-42244-4-44-2-24-2-4422-42-22000000000000-222-24-4-44-22-22000000000000000000000000-22002-200000000000000000000000000000000000000
χ1104-4-44-244004-4-4-2-4-4224-444-4-2-24-2-4422-42-220000000000002-2-22-444-4-22-220000000000000000000000002-200-2200000000000000000000000000000000000000
χ1114-4-44-24-2004-42-22-422-24-4-44-21-2-22-22-12-112000003i−3i−3i3i000-222-2-222-21-11-100003i−3i−3i3i00000000000000001-1−3i3i-113i−3i000000000000000000000000000000000000
χ1124-4-44-24-2004-42-22-422-24-4-44-21-2-22-22-12-11200000−3i3i3i−3i000-222-2-222-21-11-10000−3i3i3i−3i00000000000000001-13i−3i-11−3i3i000000000000000000000000000000000000
χ1134-4-44-24-2004-42-22-422-2-444-4-21-2-22-22-12-112000003i−3i−3i3i0002-2-222-2-221-11-100003i−3i−3i3i0000000000000000-113i−3i1-1−3i3i000000000000000000000000000000000000
χ1144-4-44-24-2004-42-22-422-2-444-4-21-2-22-22-12-11200000−3i3i3i−3i0002-2-222-2-221-11-10000−3i3i3i−3i0000000000000000-11−3i3i1-13i−3i000000000000000000000000000000000000
χ1158888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-42222-40000000000-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-8-8-4-4-4-4-4-4-4-4-4000022222222222244444-2-2-2-240000000000-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-400444-8-4-48-840000-4-4242-244-2-44-40000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-480044-848-4-44-800002-4-4-2-44-244-4420000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-4004444-4-4-4440000222-22-2-2-2-22-22000006i−6i6i−6i00000000000-1-1110000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-4004444-4-4-4440000222-22-2-2-2-22-2200000−6i6i−6i6i00000000000-1-11100003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-48-84-4-44444-440000222-2-2-2222-2-2-244-44-4-2-222-40000000000-111-1-2-22211-1-1000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-884-4-44444-440000222-2-2-2222-2-2-2-4-44-4422-2-240000000000-111-122-2-2-1-111000000000000000000000000000000000000000000000000000000000000
χ1238-8-888-4-400-444844-8-8-40000-4-42-4-2244-24-44000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-4800-44-8-4-8444800002-4-424-4-2444-4-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-400-444-44444-400002222-22-2-2-2-22-2000006i−6i−6i6i00000000000-11-110000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-400-444-44444-400002222-22-2-2-2-22-200000−6i6i6i−6i00000000000-11-1100003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000

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