Finite Group Databasebeta

← Group #13155658

Character table — Group #13155658

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order1222333446666666664444333666666666121212121212121212124412121212121212123666121212121212121244441212121212121212121212121212121212121212888812121212121212121212121244441212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
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
χ91-11-1111-11-1-1-1-111-11-1ii−i−i111-1-1-111-1-1-1111-11-111-1-1-1i−iiiii−i−i−i−i1-1-111-11-111-1-11-1i−i11-1-1i−iii−i−ii−iiiii−i−i−i−iii−i−ii−i1-1ii−i−i11-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1
χ101-11-1111-11-1-1-1-111-11-1ii−i−i111-1-1-111-1-1-1111-11-111-1-1-1i−iiiii−i−i−i−i1-1-111-11-111-1-11-1−ii11-1-1i−i−i−iiii−iiiii−i−i−i−i−i−iii−ii1-1−i−iii11-1-1-11i−i-1-111ii−i−i−i−iii-1-111
χ111-11-1111-11-1-1-1-111-11-1ii−i−i111-1-1-111-1-1-1111-11-111-1-1-1i−iiiii−i−i−i−i1-1-111-11-111-1-1-11i−i-1-111i−iii−i−ii−iiiii−i−i−i−i−i−iiii−i-11ii−i−i-1-1111-1−ii11-1-1−i−iii−i−iii-1-111
χ121-11-1111-11-1-1-1-111-11-1ii−i−i111-1-1-111-1-1-1111-11-111-1-1-1i−iiiii−i−i−i−i1-1-111-11-111-1-1-11−ii-1-111i−i−i−iiii−iiiii−i−i−i−iii−i−i−ii-11−i−iii-1-111-11−ii-1-111−i−iiiii−i−i11-1-1
χ131-11-1111-11-1-1-1-111-11-1−i−iii111-1-1-111-1-1-1111-11-111-1-1-1−ii−i−i−i−iiiii1-1-111-11-111-1-11-1i−i11-1-1−iiii−i−i−ii−i−i−i−iiiiiii−i−ii−i1-1ii−i−i11-1-1-11−ii-1-111−i−iiiii−i−i-1-111
χ141-11-1111-11-1-1-1-111-11-1−i−iii111-1-1-111-1-1-1111-11-111-1-1-1−ii−i−i−i−iiiii1-1-111-11-111-1-11-1−ii11-1-1−ii−i−iii−ii−i−i−i−iiiii−i−iii−ii1-1−i−iii11-1-11-1−ii11-1-1−i−iii−i−iii11-1-1
χ151-11-1111-11-1-1-1-111-11-1−i−iii111-1-1-111-1-1-1111-11-111-1-1-1−ii−i−i−i−iiiii1-1-111-11-111-1-1-11i−i-1-111−iiii−i−i−ii−i−i−i−iiiii−i−iiii−i-11ii−i−i-1-111-11i−i-1-111ii−i−i−i−iii11-1-1
χ161-11-1111-11-1-1-1-111-11-1−i−iii111-1-1-111-1-1-1111-11-111-1-1-1−ii−i−i−i−iiiii1-1-111-11-111-1-1-11−ii-1-111−ii−i−iii−ii−i−i−i−iiiiiii−i−i−ii-11−i−iii-1-1111-1i−i11-1-1ii−i−iii−i−i-1-111
χ172222222-2-22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000-2-20000-2-222-2-222-2-2000000000000000000000000000000000000
χ182222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000022000022-2-222-2-222000000000000000000000000000000000000
χ19222222-12222-1222-1-1222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-122-1-1-1-100220000-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200-1-1-1-100002200-1-1-1-1000000000000
χ20222222-12222-1222-1-1222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-20000-1-1111122-1-1-1-1-1-1-1-10000-2-20011110000-2-2001111000000000000
χ21222222-12222-1222-1-12-2-2-2-22-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-2-2-2-211-2-211-1-1-1-1-1-122-1-1-1-10022000011-1-1-1-1-2-21111111100002200-1-1-1-10000-2-2001111000000000000
χ22222222-12222-1222-1-12-2-2-2-22-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-2-2-2-211-2-211-1-1-1-1-1-122-1-1-1-100-2-20000111111-2-2111111110000-2-200111100002200-1-1-1-1000000000000
χ23222222-1-2-222-1222-1-1222222-1-122-1-1-1-1-1-12-2-2-2111111-2-2-222-1-122-1-1-1-1-1-111-2-211110000000011−i3i3−i3i3-2-2-1-111-1-11100000000−i3i3−i3i300000000−i3i3−i3i3000000000000
χ24222222-1-2-222-1222-1-1222222-1-122-1-1-1-1-1-12-2-2-2111111-2-2-222-1-122-1-1-1-1-1-111-2-211110000000011i3−i3i3−i3-2-2-1-111-1-11100000000i3−i3i3−i300000000i3−i3i3−i3000000000000
χ25222222-1-2-222-1222-1-12-2-2-2-22-1-122-1-1-1-1-1-12-2-2-2111111-222-2-211-2-211-1-1-1-111-2-2111100000000-1-1−i3i3−i3i32211-1-111-1-100000000−i3i3−i3i300000000i3−i3i3−i3000000000000
χ26222222-1-2-222-1222-1-12-2-2-2-22-1-122-1-1-1-1-1-12-2-2-2111111-222-2-211-2-211-1-1-1-111-2-2111100000000-1-1i3−i3i3−i32211-1-111-1-100000000i3−i3i3−i300000000−i3i3−i3i3000000000000
χ2722222-12222-1222-122-12222-12-1-1-122-1-1-12-12-1-122-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-1-12200-1-1-1-1220000-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-100220000-1-1-1-100000000
χ2822222-12222-1222-122-12222-12-1-1-122-1-1-12-12-1-122-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-1-1-2-2001111220000-1-1-1-1-1-1-1-1-1-1000000-2-20000111100-2-20000111100000000
χ2922222-12222-1222-122-1-2-2-2-2-12-1-1-122-1-1-12-12-1-122-1-1-1-12-2-211-2-211-2-2-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-2-200001111111111000000220000-1-1-1-100-2-20000111100000000
χ3022222-12222-1222-122-1-2-2-2-2-12-1-1-122-1-1-12-12-1-122-1-1-1-12-2-211-2-211-2-2-1-1-1-122-1-1-1-1-1-1-2-2001111-2-200001111111111000000-2-20000111100220000-1-1-1-100000000
χ3122222-12-2-22-1222-122-12222-12-1-1-122-1-1-12-1-211-2-21111-2-2-2-1-122-1-122-1-1-1-1-2-21111110000−i3i3−i3i3-2-2000011-1-111-1-111000000000000−i3i3−i3i300000000−i3i3−i3i300000000
χ3222222-12-2-22-1222-122-12222-12-1-1-122-1-1-12-1-211-2-21111-2-2-2-1-122-1-122-1-1-1-1-2-21111110000i3−i3i3−i3-2-2000011-1-111-1-111000000000000i3−i3i3−i300000000i3−i3i3−i300000000
χ3322222-12-2-22-1222-122-1-2-2-2-2-12-1-1-122-1-1-12-1-211-2-21111-22211-2-211-2-2-1-1-1-1-2-21111110000−i3i3−i3i3220000-1-111-1-111-1-1000000000000−i3i3−i3i300000000i3−i3i3−i300000000
χ3422222-12-2-22-1222-122-1-2-2-2-2-12-1-1-122-1-1-12-1-211-2-21111-22211-2-211-2-2-1-1-1-1-2-21111110000i3−i3i3−i3220000-1-111-1-111-1-1000000000000i3−i3i3−i300000000−i3i3−i3i300000000
χ352222-12222-122-1-122220000-1-12-1-1-1-1222-1-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200222200000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ362222-12222-122-1-122220000-1-12-1-1-1-1222-1-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-2222200-2-2-2-20000000000-2-2-2-211-1-11111-1-1-1-100000000000011110000
χ372222-12222-122-1-122220000-1-12-1-1-1-1222-1-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-20022220000000000-2-2-2-2-1-111-1-1-1-1111100000000000011110000
χ382222-12222-122-1-122220000-1-12-1-1-1-1222-1-1-122222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2-2-2-200000000002222111111111111000000000000-1-1-1-10000
χ3922-2-222200222-2-2-2-2-2-22-22-22222-22-2-22-2-2-20000000000002-22-22-22-222-2-20000000000000000000000002-2002-2002−22−20000000000000000000000002−22−22−22−2
χ4022-2-222200222-2-2-2-2-2-22-22-22222-22-2-22-2-2-20000000000002-22-22-22-222-2-20000000000000000000000002-2002-200−22−22000000000000000000000000−22−22−22−22
χ4122-2-222200222-2-2-2-2-2-2-22-222222-22-2-22-2-2-2000000000000-22-22-22-2222-2-2000000000000000000000000-2200-22002−22−20000000000000000000000002−22−2−22−22
χ4222-2-222200222-2-2-2-2-2-2-22-222222-22-2-22-2-2-2000000000000-22-22-22-2222-2-2000000000000000000000000-2200-2200−22−22000000000000000000000000−22−222−22−2
χ432-22-22222-2-2-2-2-222-22-22i2i−2i−2i222-2-2-222-2-2-22-2-22-22-2-2222−2i2i2i2i2i2i−2i−2i−2i−2i2-2-22-22-22-2-22200000000−2i2i0000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ442-22-22222-2-2-2-2-222-22-2−2i−2i2i2i222-2-2-222-2-2-22-2-22-22-2-22222i−2i−2i−2i−2i−2i2i2i2i2i2-2-22-22-22-2-222000000002i−2i00002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ452-22-222-12-2-2-21-2221-1-22i2i−2i−2i2-1-1-2-21-1-11112-2-221-111-1-12−2i2i2i2i−i−i−2i−2iii-111-11-1-2211-1-100000000i−i3−3−33−2i2i−i−iiiii−i−i000000003−3−3300000000−i3i3i3−i3000000000000
χ462-22-222-12-2-2-21-2221-1-22i2i−2i−2i2-1-1-2-21-1-11112-2-221-111-1-12−2i2i2i2i−i−i−2i−2iii-111-11-1-2211-1-100000000i−i−333−3−2i2i−i−iiiii−i−i00000000−333−300000000i3−i3−i3i3000000000000
χ472-22-222-12-2-2-21-2221-1-2−2i−2i2i2i2-1-1-2-21-1-11112-2-221-111-1-122i−2i−2i−2iii2i2i−i−i-111-11-1-2211-1-100000000−ii3−3−332i−2iii−i−i−i−iii000000003−3−3300000000i3−i3−i3i3000000000000
χ482-22-222-12-2-2-21-2221-1-2−2i−2i2i2i2-1-1-2-21-1-11112-2-221-111-1-122i−2i−2i−2iii2i2i−i−i-111-11-1-2211-1-100000000−ii−333−32i−2iii−i−i−i−iii00000000−333−300000000−i3i3i3−i3000000000000
χ492-22-222-1-22-2-21-2221-1-22i2i−2i−2i2-1-1-2-21-1-1111222-2-11-1-111-22i−2i2i2i−i−i−2i−2iii-111-1-112-2-1-111002i−2i0000−ii−i−iii2i−2i−i−i−i−iiiii00002i−2i00−i−iii00002-200-1-111000000000000
χ502-22-222-1-22-2-21-2221-1-22i2i−2i−2i2-1-1-2-21-1-1111222-2-11-1-111-22i−2i2i2i−i−i−2i−2iii-111-1-112-2-1-11100−2i2i0000−iiii−i−i2i−2i−i−i−i−iiiii0000−2i2i00ii−i−i0000-220011-1-1000000000000
χ512-22-222-1-22-2-21-2221-1-2−2i−2i2i2i2-1-1-2-21-1-1111222-2-11-1-111-2−2i2i−2i−2iii2i2i−i−i-111-1-112-2-1-111002i−2i0000i−i−i−iii−2i2iiiii−i−i−i−i00002i−2i00−i−iii0000-220011-1-1000000000000
χ522-22-222-1-22-2-21-2221-1-2−2i−2i2i2i2-1-1-2-21-1-1111222-2-11-1-111-2−2i2i−2i−2iii2i2i−i−i-111-1-112-2-1-11100−2i2i0000i−iii−i−i−2i2iiiii−i−i−i−i0000−2i2i00ii−i−i00002-200-1-111000000000000
χ532-22-22-122-2-21-2-22-1-2212i2i−2i−2i-12-111-22-111-2-1-21-1-2211-1-12−2i2i−i−i2i2iii−2i−2i-111-1-221-111-1-10000−i3i3i3−i3−2i2i0000i−i−i−iiiii−i−i000000000000−i3i3i3−i3000000003−3−3300000000
χ542-22-22-122-2-21-2-22-1-2212i2i−2i−2i-12-111-22-111-2-1-21-1-2211-1-12−2i2i−i−i2i2iii−2i−2i-111-1-221-111-1-10000i3−i3−i3i3−2i2i0000i−i−i−iiiii−i−i000000000000i3−i3−i3i300000000−333−300000000
χ552-22-22-122-2-21-2-22-1-221−2i−2i2i2i-12-111-22-111-2-1-21-1-2211-1-122i−2iii−2i−2i−i−i2i2i-111-1-221-111-1-10000−i3i3i3−i32i−2i0000−iiii−i−i−i−iii000000000000−i3i3i3−i300000000−333−300000000
χ562-22-22-122-2-21-2-22-1-221−2i−2i2i2i-12-111-22-111-2-1-21-1-2211-1-122i−2iii−2i−2i−i−i2i2i-111-1-221-111-1-10000i3−i3−i3i32i−2i0000−iiii−i−i−i−iii000000000000i3−i3−i3i3000000003−3−3300000000
χ572-22-22-12-22-21-2-22-1-2212i2i−2i−2i-12-111-22-111-2-12-112-2-1-111-22i−2i−i−i2i2iii−2i−2i-111-12-2-11-1-1112-200-1-1112i−2i0000−ii−i−i−i−iiiii0000002-20000-1-111002i−2i0000−i−iii00000000
χ582-22-22-12-22-21-2-22-1-2212i2i−2i−2i-12-111-22-111-2-12-112-2-1-111-22i−2i−i−i2i2iii−2i−2i-111-12-2-11-1-111-220011-1-12i−2i0000−ii−i−i−i−iiiii000000-22000011-1-100−2i2i0000ii−i−i00000000
χ592-22-22-12-22-21-2-22-1-221−2i−2i2i2i-12-111-22-111-2-12-112-2-1-111-2−2i2iii−2i−2i−i−i2i2i-111-12-2-11-1-1112-200-1-111−2i2i0000i−iiiii−i−i−i−i0000002-20000-1-11100−2i2i0000ii−i−i00000000
χ602-22-22-12-22-21-2-22-1-221−2i−2i2i2i-12-111-22-111-2-12-112-2-1-111-2−2i2iii−2i−2i−i−i2i2i-111-12-2-11-1-111-220011-1-1−2i2i0000i−iiiii−i−i−i−i000000-22000011-1-1002i−2i0000−i−iii00000000
χ612-22-2-122-221-2-21-12-22-20000-1-12111-12-2-21-1-12-22-222-2-210000000000-111-1-11-11-1-1112-22i−2i22-2-2002i2i−2i−2i00000000002i2i−2i−2i−ii-11−i−iii-1-111000000000000−i−iii0000
χ622-22-2-122-221-2-21-12-22-20000-1-12111-12-2-21-1-12-22-222-2-210000000000-111-1-11-11-1-1112-2−2i2i22-2-200−2i−2i2i2i0000000000−2i−2i2i2ii−i-11ii−i−i-1-111000000000000ii−i−i0000
χ632-22-2-122-221-2-21-12-22-20000-1-12111-12-2-21-1-12-22-222-2-210000000000-111-1-11-11-1-111-222i−2i-2-222002i2i−2i−2i0000000000−2i−2i2i2i−ii1-1−i−iii11-1-1000000000000ii−i−i0000
χ642-22-2-122-221-2-21-12-22-20000-1-12111-12-2-21-1-12-22-222-2-210000000000-111-1-11-11-1-111-22−2i2i-2-22200−2i−2i2i2i00000000002i2i−2i−2ii−i1-1ii−i−i11-1-1000000000000−i−iii0000
χ652-2-2222200-2-2-22-2-22-222i−2i−2i2i222-22-2-2-2-222-20000000000002i−2i2i−2i−2i2i−2i2i2-22-20000000000000000000000002i−2i00−2i2i00−i2i2i2−i2000000000000000000000000−i2i2i2−i2−222−2
χ662-2-2222200-2-2-22-2-22-222i−2i−2i2i222-22-2-2-2-222-20000000000002i−2i2i−2i−2i2i−2i2i2-22-20000000000000000000000002i−2i00−2i2i00i2−i2−i2i2000000000000000000000000i2−i2−i2i22−2−22
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χ682-2-2222200-2-2-22-2-22-22−2i2i2i−2i222-22-2-2-2-222-2000000000000−2i2i−2i2i2i−2i2i−2i2-22-2000000000000000000000000−2i2i002i−2i00i2−i2−i2i2000000000000000000000000i2−i2−i2i2−222−2
χ6944444-2-2444-2-244-2-2-2-24444-2-21-2-2-2-2111-2-24-2-2-2-21111444-2-2-2-2-2-2-2-21111-2-2-2-2111100000000-2-20000-2-211111111000000000000000000000000000000000000
χ7044444-2-2444-2-244-2-2-2-2-4-4-4-4-2-21-2-2-2-2111-2-24-2-2-2-211114-4-4222222221111-2-2-2-211110000000022000022-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ7144444-2-2-4-44-2-244-2-2-2-24444-2-21-2-2-2-2111-2-2-42222-1-1-1-1-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000002200002211-1-111-1-1000000000000000000000000000000000000
χ7244444-2-2-4-44-2-244-2-2-2-2-4-4-4-4-2-21-2-2-2-2111-2-2-42222-1-1-1-1-4442222222211112222-1-1-1-100000000-2-20000-2-2-1-111-1-111000000000000000000000000000000000000
χ734444-244-4-4-244-2-244440000-2-24-2-2-2-2444-2-22-4-4-4-4-4-4-4-420000000000-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000
χ744444-24-244-24-2-2-24-2-240000-21-2-2-211-2-2-21-2-244-2-2-2-2-2-2-20000000000111111-2-211110044000000-2-2-2-200000000000000-2-2001111000000000000000000000000
χ754444-24-244-24-2-2-24-2-240000-21-2-2-211-2-2-21-2-244-2-2-2-2-2-2-20000000000111111-2-2111100-4-40000002222000000000000002200-1-1-1-1000000000000000000000000
χ764444-24-2-4-4-24-2-2-24-2-240000-21-2-2-211-2-2-21-22-4-4222222200000000001111-1-122-1-1-1-10000000000−2i32i3−2i32i3000000000000000000i3−i3i3−i3000000000000000000000000
χ774444-24-2-4-4-24-2-2-24-2-240000-21-2-2-211-2-2-21-22-4-4222222200000000001111-1-122-1-1-1-100000000002i3−2i32i3−2i3000000000000000000−i3i3−i3i3000000000000000000000000
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χ794444-2-2444-2-24-2-2-244-200001-2-211-2-2-2-2-2-21-2-2-244-2-2-2-2-200000000001111-2-2111111-4-40022220000000000000000000000220000-1-1-1-100000000000000000000
χ804444-2-24-4-4-2-24-2-2-244-200001-2-211-2-2-2-2-2-21222-4-4222220000000000111122-1-1-1-1-1-10000−2i32i3−2i32i30000000000000000000000000000i3−i3i3−i300000000000000000000
χ814444-2-24-4-4-2-24-2-2-244-200001-2-211-2-2-2-2-2-21222-4-4222220000000000111122-1-1-1-1-1-100002i3−2i32i3−2i30000000000000000000000000000−i3i3−i3i300000000000000000000
χ8244-4-444-20044-2-4-4-422-44-44-44-2-24-4-222-222-40000000000004-4-224-4-22-2-222000000000000000000000000-2200-2200000000000000000000000000000000000000
χ8344-4-444-20044-2-4-4-422-4-44-444-2-24-4-222-222-4000000000000-442-2-442-2-2-2220000000000000000000000002-2002-200000000000000000000000000000000000000
χ8444-4-44-24004-24-4-42-4-424-44-4-24-2-224-42-22-42000000000000-224-4-224-4-2-222000000000000000000000000-2200-2200000000000000000000000000000000000000
χ8544-4-44-24004-24-4-42-4-42-44-44-24-2-224-42-22-420000000000002-2-442-2-44-2-2220000000000000000000000002-2002-200000000000000000000000000000000000000
χ8644-4-44-2-2004-2-2-4-422224-44-4-2-21-22-22-11-122000003i−3i3i−3i000-22-22-22-2211-1-100003i−3i3i−3i00000000000000001-13i−3i1-13i−3i000000000000000000000000000000000000
χ8744-4-44-2-2004-2-2-4-422224-44-4-2-21-22-22-11-12200000−3i3i−3i3i000-22-22-22-2211-1-10000−3i3i−3i3i00000000000000001-1−3i3i1-1−3i3i000000000000000000000000000000000000
χ8844-4-44-2-2004-2-2-4-42222-44-44-2-21-22-22-11-122000003i−3i3i−3i0002-22-22-22-211-1-100003i−3i3i−3i0000000000000000-11−3i3i-11−3i3i000000000000000000000000000000000000
χ8944-4-44-2-2004-2-2-4-42222-44-44-2-21-22-22-11-12200000−3i3i−3i3i0002-22-22-22-211-1-10000−3i3i−3i3i0000000000000000-113i−3i-113i−3i000000000000000000000000000000000000
χ9044-4-4-24400-24422-4-4-4-40000-2-24-22-22-44-42200000000000000000000-2-2220000000000000000000000000000000022−2222−22000000000000000000000000−22−220000
χ9144-4-4-24400-24422-4-4-4-40000-2-24-22-22-44-42200000000000000000000-2-22200000000000000000000000000000000−2222−22220000000000000000000000002−22−20000
χ924-44-44-2-24-4-422-44-22-224i4i−4i−4i-2-21222-21-1-12-2-42-22-2-1-1114−4i4i−2i−2i−2i−2i2i2i2i2i1-1-112-22-2-1-111000000002i−2i00002i−2iii−i−i−i−iii000000000000000000000000000000000000
χ934-44-44-2-24-4-422-44-22-22−4i−4i4i4i-2-21222-21-1-12-2-42-22-2-1-11144i−4i2i2i2i2i−2i−2i−2i−2i1-1-112-22-2-1-11100000000−2i2i0000−2i2i−i−iiiii−i−i000000000000000000000000000000000000
χ944-44-44-2-2-44-422-44-22-224i4i−4i−4i-2-21222-21-1-12-24-22-2211-1-1-44i−4i−2i−2i−2i−2i2i2i2i2i1-1-11-22-2211-1-100000000−2i2i0000−2i2iiiii−i−i−i−i000000000000000000000000000000000000
χ954-44-44-2-2-44-422-44-22-22−4i−4i4i4i-2-21222-21-1-12-24-22-2211-1-1-4−4i4i2i2i2i2i−2i−2i−2i−2i1-1-11-22-2211-1-1000000002i−2i00002i−2i−i−i−i−iiiii000000000000000000000000000000000000
χ964-44-4-2444-42-4-42-24-44-40000-2-24222-24-4-42-22-44-44-4-444-20000000000-222-22-22-222-2-2000000000000000000000000000000000000000000000000000000000000
χ974-44-4-24-24-42-422-242-2-40000-21-222-11-222-1-22-442-222-2-2-200000000001-1-11-112-2-1-111000000000023−23−2323000000000000000000−333−3000000000000000000000000
χ984-44-4-24-24-42-422-242-2-40000-21-222-11-222-1-22-442-222-2-2-200000000001-1-11-112-2-1-1110000000000−232323−230000000000000000003−3−33000000000000000000000000
χ994-44-4-24-2-442-422-242-2-40000-21-222-11-222-1-2-24-4-22-2-222200000000001-1-111-1-2211-1-1004i−4i000000−2i−2i2i2i00000000000000−2i2i00ii−i−i000000000000000000000000
χ1004-44-4-24-2-442-422-242-2-40000-21-222-11-222-1-2-24-4-22-2-222200000000001-1-111-1-2211-1-100−4i4i0000002i2i−2i−2i000000000000002i−2i00−i−iii000000000000000000000000
χ1014-44-4-2-244-422-42-2-2-44200001-2-2-1-12-2-2222122-2-4422-2-2-200000000001-1-112-2-11-1-1110000−2i32i32i3−2i30000000000000000000000000000i3−i3−i3i300000000000000000000
χ1024-44-4-2-244-422-42-2-2-44200001-2-2-1-12-2-2222122-2-4422-2-2-200000000001-1-112-2-11-1-11100002i3−2i3−2i32i30000000000000000000000000000−i3i3i3−i300000000000000000000
χ1034-44-4-2-24-4422-42-2-2-44200001-2-2-1-12-2-22221-2-224-4-2-222200000000001-1-11-221-111-1-14-400-2-2220000000000000000000000-22000011-1-100000000000000000000
χ1044-44-4-2-24-4422-42-2-2-44200001-2-2-1-12-2-22221-2-224-4-2-222200000000001-1-11-221-111-1-1-440022-2-200000000000000000000002-20000-1-11100000000000000000000
χ1054-4-4444-200-4-424-4-4-2244i−4i−4i4i4-2-2-442222-2-2-40000000000004i−4i−2i2i−4i4i2i−2i-22-22000000000000000000000000−2i2i002i−2i00000000000000000000000000000000000000
χ1064-4-4444-200-4-424-4-4-224−4i4i4i−4i4-2-2-442222-2-2-4000000000000−4i4i2i−2i4i−4i−2i2i-22-220000000000000000000000002i−2i00−2i2i00000000000000000000000000000000000000
χ1074-4-444-2400-42-44-424-4-24i−4i−4i4i-24-22-2-4-422-242000000000000−2i2i4i−4i2i−2i−4i4i-22-22000000000000000000000000−2i2i002i−2i00000000000000000000000000000000000000
χ1084-4-444-2400-42-44-424-4-2−4i4i4i−4i-24-22-2-4-422-2420000000000002i−2i−4i4i−2i2i4i−4i-22-220000000000000000000000002i−2i00−2i2i00000000000000000000000000000000000000
χ1094-4-444-2-200-4224-42-22-24i−4i−4i4i-2-212-222-1-11-22000003i−3i−3i3i000−2i2i−2i2i2i−2i2i−2i1-11-100003i−3i−3i3i0000000000000000i−i-33−ii3-3000000000000000000000000000000000000
χ1104-4-444-2-200-4224-42-22-24i−4i−4i4i-2-212-222-1-11-2200000−3i3i3i−3i000−2i2i−2i2i2i−2i2i−2i1-11-10000−3i3i3i−3i0000000000000000i−i3-3−ii-33000000000000000000000000000000000000
χ1114-4-444-2-200-4224-42-22-2−4i4i4i−4i-2-212-222-1-11-22000003i−3i−3i3i0002i−2i2i−2i−2i2i−2i2i1-11-100003i−3i−3i3i0000000000000000−ii3-3i−i-33000000000000000000000000000000000000
χ1124-4-444-2-200-4224-42-22-2−4i4i4i−4i-2-212-222-1-11-2200000−3i3i3i−3i0002i−2i2i−2i−2i2i−2i2i1-11-10000−3i3i3i−3i0000000000000000−ii-33i−i3-3000000000000000000000000000000000000
χ1134-4-44-244002-4-4-22-44-440000-2-242-222-4-44-2200000000000000000000-22-2200000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000
χ1144-4-44-244002-4-4-22-44-440000-2-242-222-4-44-2200000000000000000000-22-22000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000
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
χ11788-8-8-48-400-48-444-844-80000-42-4-442-24-44-240000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4800-4-48444-8-8400002-4-42-2-444-444-20000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-400-4-4-444444400002222-22-2-22-2-2-2000006i−6i6i−6i00000000000-1-1110000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-4-4-444444400002222-22-2-22-2-2-200000−6i6i−6i6i00000000000-1-11100003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-48-84444-4-44-440000222-2-2-222-2-2-2244-44-4-2-222-40000000000-111-1-22-2211-1-1000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-884444-4-44-440000222-2-2-222-2-2-22-4-44-4422-2-240000000000-111-12-22-2-1-111000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-48-4004-84-44-8-4480000-42-44-4-2-244-424000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-480044-8-4448-8-400002-4-4-224444-4-4-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-400444-444-44-40000222-22-2-2-2-222-2000006i−6i−6i6i00000000000-11-110000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-400444-444-44-40000222-22-2-2-2-222-200000−6i6i6i−6i00000000000-11-1100003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000

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