Finite Group Databasebeta

← Group #13171732

Character table — Group #13171732

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222224444444444444444446666666666668888888888888899999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242436363636363654545454
order122222333666666666333666666666666666222244444444366666666666664444444444446666666612121212121212121212121212121212444444121212121212121212121212666612121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111111111-1-1-1-111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ111111-1-1111111111111111-1-1-1-1-1-111111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-1-111111111111111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-111111111111-1-1-1-111-1-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-1111111111-1-11111-1-111-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-111
χ141111-1-1111111111111111-1-1-1-1-1-1111111111-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-1111111111-1-1-1-1111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-1111111111-1-1-1-11111-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111
χ1711-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-1111-11-11-11-1i−ii−i11-111-1-11-1-111-1-111-1-1ii−i−iii−i−i1-11-11-11-11-11-1i−ii−ii−ii−i1-11-11-1i−ii−iii−i−iii−i−i11-1-11-11-11-11-1i−ii−ii−ii−i1-1i−ii−i
χ1811-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-1111-11-11-11-1−ii−ii11-111-1-11-1-111-1-111-1-1−i−iii−i−iii1-11-11-11-11-11-1−ii−ii−ii−ii1-11-11-1−ii−ii−i−iii−i−iii11-1-11-11-11-11-1−ii−ii−ii−ii1-1−ii−ii
χ1911-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-1111-1-111-1-11i−ii−i11-111-1-11-1-111-1-1-1-111ii−i−i−i−iii1-1-111-1-111-1-11i−ii−ii−ii−i1-1-11-11i−i−iiii−i−i−i−iii-1-1111-1-111-1-11i−ii−ii−i−ii-11−ii−ii
χ2011-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-1111-1-111-1-11−ii−ii11-111-1-11-1-111-1-1-1-111−i−iiiii−i−i1-1-111-1-111-1-11−ii−ii−ii−ii1-1-11-11−iii−i−i−iiiii−i−i-1-1111-1-111-1-11−ii−ii−iii−i-11i−ii−i
χ2111-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-111-111-1-111-1i−ii−i11-111-1-11-1-111-1-1-1-111−i−iiiii−i−i-111-1-111-1-111-1i−ii−ii−ii−i-111-1-11−iii−i−i−iiiii−i−i-1-111-111-1-111-1i−ii−i−iii−i-11−ii−ii
χ2211-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-111-111-1-111-1−ii−ii11-111-1-11-1-111-1-1-1-111ii−i−i−i−iii-111-1-111-1-111-1−ii−ii−ii−ii-111-1-11i−i−iiii−i−i−i−iii-1-111-111-1-111-1−ii−iii−i−ii-11i−ii−i
χ2311-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-111-11-11-11-11i−ii−i11-111-1-11-1-111-1-111-1-1−i−iii−i−iii-11-11-11-11-11-11i−ii−ii−ii−i-11-111-1−ii−ii−i−iii−i−iii11-1-1-11-11-11-11i−ii−i−ii−ii1-1i−ii−i
χ2411-1-11-1111-1-111-1-1-1-1111111-1-11-11-1-1-1-1-1-111-11-11-11-11−ii−ii11-111-1-11-1-111-1-111-1-1ii−i−iii−i−i-11-11-11-11-11-11−ii−ii−ii−ii-11-111-1i−ii−iii−i−iii−i−i11-1-1-11-11-11-11−ii−iii−ii−i1-1−ii−ii
χ2511-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-1111-11-1-11-11i−i−ii1-11-1-1111-1-1-1-111-1-111ii−i−i−i−iii1-11-11-11-1-11-11i−i−iii−i−ii-11-111-1−iii−iii−i−i−i−iii-1-1111-11-1-11-11i−i−ii−iii−i1-1i−i−ii
χ2611-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-1111-11-1-11-11−iii−i1-11-1-1111-1-1-1-111-1-111−i−iiiii−i−i1-11-11-11-1-11-11−iii−i−iii−i-11-111-1i−i−ii−i−iiiii−i−i-1-1111-11-1-11-11−iii−ii−i−ii1-1−iii−i
χ2711-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-1111-1-11-111-1i−i−ii1-11-1-1111-1-1-1-11111-1-1ii−i−iii−i−i1-1-111-1-11-111-1i−i−iii−i−ii-111-1-11−ii−iiii−i−iii−i−i11-1-11-1-11-111-1i−i−ii−ii−ii-11−iii−i
χ2811-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-1111-1-11-111-1−iii−i1-11-1-1111-1-1-1-11111-1-1−i−iii−i−iii1-1-111-1-11-111-1−iii−i−iii−i-111-1-11i−ii−i−i−iii−i−iii11-1-11-1-11-111-1−iii−ii−ii−i-11i−i−ii
χ2911-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-111-111-11-1-11i−i−ii1-11-1-1111-1-1-1-11111-1-1−i−iii−i−iii-111-1-111-11-1-11i−i−iii−i−ii1-1-11-11i−ii−i−i−iii−i−iii11-1-1-111-11-1-11i−i−iii−ii−i-11−iii−i
χ3011-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-111-111-11-1-11−iii−i1-11-1-1111-1-1-1-11111-1-1ii−i−iii−i−i-111-1-111-11-1-11−iii−i−iii−i1-1-11-11−ii−iiii−i−iii−i−i11-1-1-111-11-1-11−iii−i−ii−ii-11i−i−ii
χ3111-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-111-11-111-11-1i−i−ii1-11-1-1111-1-1-1-111-1-111−i−iiiii−i−i-11-11-11-111-11-1i−i−iii−i−ii1-11-11-1i−i−ii−i−iiiii−i−i-1-111-11-111-11-1i−i−iii−i−ii1-1i−i−ii
χ3211-1-1-11111-1-111-1-1-1-11111-1-111-111-1-1-1-1-1-111-11-111-11-1−iii−i1-11-1-1111-1-1-1-111-1-111ii−i−i−i−iii-11-11-11-111-11-1−iii−i−iii−i1-11-11-1−iii−iii−i−i−i−iii-1-111-11-111-11-1−iii−i−iii−i1-1−iii−i
χ3322222222-1-1-1222222-12-1-12222-1-12-1-1-1-122-1-1222222220000-122-1-1-1-1-1-1-1-1-1-1-12222000000002222-1-1-1-1222200000000-1-1-1-122000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000-1-10000
χ3422222222-1-1-1222222-12-1-12222-1-12-1-1-1-122-1-122-2-222-2-20000-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000022-2-2-1-11122-2-200000000-1-111-2-20000000000001111-1-111-1-11100000000110000
χ3522222222-1-1-1222222-12-1-12222-1-12-1-1-1-122-1-1-2-222-2-2220000-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-22211-1-1-2-2220000000011-1-1-2-2000000000000111111-1-111-1-100000000110000
χ3622222222-1-1-1222222-12-1-12222-1-12-1-1-1-122-1-1-2-2-2-2-2-2-2-20000-122-1-1-1-1-1-1-1-1-1-1-1222200000000-2-2-2-21111-2-2-2-200000000111122000000000000-1-1-1-11111111100000000-1-10000
χ372222222-12222-12-12-12-12-12-12-122-122-1-1-1-12-1002200222222-1-1-12-12-1-1-1-1-1-1-1-100000000222200-1-1002200-1-1-1-12222-1-100220000220000-1-1-1-1000000-1-100-1-1-1-1-1-100-1-1000000
χ382222222-12222-12-12-12-12-12-12-122-122-1-1-1-12-100220022-2-2-2-2-1-1-12-12-1-1-1-1-1-1-1-100000000-2-2-2-200-1-1002200-1-111-2-2-2-21100220000-2-200001111000000-1-100-1-111110011000000
χ392222222-12222-12-12-12-12-12-12-122-122-1-1-1-12-100-2-200-2-22222-1-1-12-12-1-1-1-1-1-1-1-100000000-2-2-2-2001100-2-20011-1-12222-1-100-2-20000-2-200001111000000110011-1-1-1-10011000000
χ402222222-12222-12-12-12-12-12-12-122-122-1-1-1-12-100-2-200-2-2-2-2-2-2-1-1-12-12-1-1-1-1-1-1-1-1000000002222001100-2-2001111-2-2-2-21100-2-20000220000-1-1-1-1000000110011111100-1-1000000
χ41222222-12222-12-12-122-1-12-12-1222-1-1-122-1-1-12220022002222-1-1-1-12-12-1-1-1-1-1-1-1000022220000-1-1002200-1-10022-1-1-1-1222200002200-1-1-1-100000000-1-100-1-100-1-1-1-1-1-100000000
χ42222222-12222-12-12-122-1-12-12-1222-1-1-122-1-1-1222002200-2-2-2-2-1-1-1-12-12-1-1-1-1-1-1-10000-2-2-2-20000-1-1002200-1-100-2-21111-2-2220000-2-200111100000000-1-100-1-10011111100000000
χ43222222-12222-12-12-122-1-12-12-1222-1-1-122-1-1-12-2-200-2-2002222-1-1-1-12-12-1-1-1-1-1-1-10000-2-2-2-200001100-2-200110022-1-1-1-122-2-20000-2-20011110000000011001100-1-1-1-11100000000
χ44222222-12222-12-12-122-1-12-12-1222-1-1-122-1-1-12-2-200-2-200-2-2-2-2-1-1-1-12-12-1-1-1-1-1-1-10000222200001100-2-2001100-2-21111-2-2-2-200002200-1-1-1-100000000110011001111-1-100000000
χ452222-2-222-1-1-1222222-12-1-1-2-2-2-2112-1-1-1-122-1-12222-2-2-2-20000-1-2-21111-1-1-11111-2-2-2-2000000002222-1-1-1-1-2-2-2-2000000001111220000000000001111-1-1-1-1111100000000-1-10000
χ462222-2-222-1-1-1222222-12-1-1-2-2-2-2112-1-1-1-122-1-122-2-2-2-2220000-1-2-21111-1-1-1111122220000000022-2-2-1-111-2-2220000000011-1-1-2-2000000000000-1-1-1-1-1-11111-1-100000000110000
χ472222-2-222-1-1-1222222-12-1-1-2-2-2-2112-1-1-1-122-1-1-2-22222-2-20000-1-2-21111-1-1-11111222200000000-2-22211-1-122-2-200000000-1-111-2-2000000000000-1-1-1-111-1-1-1-11100000000110000
χ482222-2-222-1-1-1222222-12-1-1-2-2-2-2112-1-1-1-122-1-1-2-2-2-222220000-1-2-21111-1-1-11111-2-2-2-200000000-2-2-2-21111222200000000-1-1-1-12200000000000011111111-1-1-1-100000000-1-10000
χ492222-2-22-12222-12-12-12-12-1-21-21-2-2-122-1-1-1-12-1002200-2-222-2-2-111-21-21-1-1-1111100000000-2-2-2-200-1-100220011-1-1-2-2221100-2-200002200001111000000-1-10011-1-11100-1-1000000
χ502222-2-22-12222-12-12-12-12-1-21-21-2-2-122-1-1-1-12-1002200-2-2-2-222-111-21-21-1-1-1111100000000222200-1-1002200111122-2-2-1-100-2-20000-2-20000-1-1-1-1000000-1-1001111-1-10011000000
χ512222-2-22-12222-12-12-12-12-1-21-21-2-2-122-1-1-1-12-100-2-2002222-2-2-111-21-21-1-1-11111000000002222001100-2-200-1-1-1-1-2-2221100220000-2-20000-1-1-1-10000001100-1-1-1-1110011000000
χ522222-2-22-12222-12-12-12-12-1-21-21-2-2-122-1-1-1-12-100-2-20022-2-222-111-21-21-1-1-1111100000000-2-2-2-2001100-2-200-1-11122-2-2-1-10022000022000011110000001100-1-111-1-100-1-1000000
χ532222-2-2-12222-12-12-122-1-121-21-2-2-2-1-1-122-1-1-122200-2-20022-2-2-1111-21-2-1-1-11111000022220000-1-100220011002211-1-1-2-2-2-20000-2-200-1-1-1-100000000-1-1001100-1-1111100000000
χ542222-2-2-12222-12-12-122-1-121-21-2-2-2-1-1-122-1-1-122200-2-200-2-222-1111-21-2-1-1-111110000-2-2-2-20000-1-10022001100-2-2-1-11122-2-200002200111100000000-1-100110011-1-1-1-100000000
χ552222-2-2-12222-12-12-122-1-121-21-2-2-2-1-1-122-1-1-12-2-200220022-2-2-1111-21-2-1-1-111110000-2-2-2-200001100-2-200-1-1002211-1-1-2-222000022001111000000001100-1-100-1-111-1-100000000
χ562222-2-2-12222-12-12-122-1-121-21-2-2-2-1-1-122-1-1-12-2-2002200-2-222-1111-21-2-1-1-111110000222200001100-2-200-1-100-2-2-1-11122220000-2-200-1-1-1-1000000001100-1-10011-1-11100000000
χ5722-2-22-222-11122-2-2-2-2-12-1-122-2-2-1121111-2-2-1-12-22-22-22-20000-12-2-1-111-111-1-11122-2-2000000002-22-2-11-112-22-200000000-11-112-2000000000000-1-111-11-11-11-1100000000-110000
χ5822-2-22-222-11122-2-2-2-2-12-1-122-2-2-1121111-2-2-1-12-2-222-2-220000-12-2-1-111-111-1-111-2-222000000002-2-22-111-12-2-2200000000-111-1-2200000000000011-1-1-111-1-111-1000000001-10000
χ5922-2-22-222-11122-2-2-2-2-12-1-122-2-2-1121111-2-2-1-1-222-2-222-20000-12-2-1-111-111-1-111-2-22200000000-222-21-1-11-222-2000000001-1-11-2200000000000011-1-11-1-111-1-11000000001-10000
χ6022-2-22-222-11122-2-2-2-2-12-1-122-2-2-1121111-2-2-1-1-22-22-22-220000-12-2-1-111-111-1-11122-2-200000000-22-221-11-1-22-22000000001-11-12-2000000000000-1-1111-11-11-11-100000000-110000
χ6122-2-22-22-12-2-22-1-21-212-12-12-1-212-2-1-2-211112-1002-2002-22i−2i2i−2i-1-112-1-21-111-1-111000000002i2i−2i−2i00-11002-200-11−ii2i−2i2i−2i−ii002-200002i−2i0000−i−iii000000-1100-11−ii−ii00−ii000000
χ6222-2-22-22-12-2-22-1-21-212-12-12-1-212-2-1-2-211112-1002-2002-2−2i2i−2i2i-1-112-1-21-111-1-11100000000−2i−2i2i2i00-11002-200-11i−i−2i2i−2i2ii−i002-20000−2i2i0000ii−i−i000000-1100-11i−ii−i00i−i000000
χ6322-2-22-22-12-2-22-1-21-212-12-12-1-212-2-1-2-211112-100-2200-222i−2i2i−2i-1-112-1-21-111-1-11100000000−2i−2i2i2i001-100-22001-1−ii2i−2i2i−2i−ii00-220000−2i2i0000ii−i−i0000001-1001-1−ii−ii00i−i000000
χ6422-2-22-22-12-2-22-1-21-212-12-12-1-212-2-1-2-211112-100-2200-22−2i2i−2i2i-1-112-1-21-111-1-111000000002i2i−2i−2i001-100-22001-1i−i−2i2i−2i2ii−i00-2200002i−2i0000−i−iii0000001-1001-1i−ii−i00−ii000000
χ6522-2-22-2-122-2-2-121-21-22-1-12-121-22-2-111-2-211-122-2002-2002i−2i2i−2i-1-11-121-2-111-1-11100002i2i−2i−2i0000-11002-200-11002i−2i−ii−ii2i−2i2-200002i−2i00−i−iii00000000-1100-1100−ii−ii−ii00000000
χ6622-2-22-2-122-2-2-121-21-22-1-12-121-22-2-111-2-211-122-2002-200−2i2i−2i2i-1-11-121-2-111-1-1110000−2i−2i2i2i0000-11002-200-1100−2i2ii−ii−i−2i2i2-20000−2i2i00ii−i−i00000000-1100-1100i−ii−ii−i00000000
χ6722-2-22-2-122-2-2-121-21-22-1-12-121-22-2-111-2-211-12-2200-22002i−2i2i−2i-1-11-121-2-111-1-1110000−2i−2i2i2i00001-100-22001-1002i−2i−ii−ii2i−2i-220000−2i2i00ii−i−i000000001-1001-100−ii−iii−i00000000
χ6822-2-22-2-122-2-2-121-21-22-1-12-121-22-2-111-2-211-12-2200-2200−2i2i−2i2i-1-11-121-2-111-1-11100002i2i−2i−2i00001-100-22001-100−2i2ii−ii−i−2i2i-2200002i−2i00−i−iii000000001-1001-100i−ii−i−ii00000000
χ6922-2-2-2222-11122-2-2-2-2-12-1-1-2-2221-121111-2-2-1-12-22-2-22-220000-1-2211-1-1-11111-1-1-2-222000000002-22-2-11-11-22-22000000001-11-12-200000000000011-1-1-11-111-11-100000000-110000
χ7022-2-2-2222-11122-2-2-2-2-12-1-1-2-2221-121111-2-2-1-12-2-22-222-20000-1-2211-1-1-11111-1-122-2-2000000002-2-22-111-1-222-2000000001-1-11-22000000000000-1-111-111-11-1-11000000001-10000
χ7122-2-2-2222-11122-2-2-2-2-12-1-1-2-2221-121111-2-2-1-1-222-22-2-220000-1-2211-1-1-11111-1-122-2-200000000-222-21-1-112-2-2200000000-111-1-22000000000000-1-1111-1-11-111-1000000001-10000
χ7222-2-2-2222-11122-2-2-2-2-12-1-1-2-2221-121111-2-2-1-1-22-222-22-20000-1-2211-1-1-11111-1-1-2-22200000000-22-221-11-12-22-200000000-11-112-200000000000011-1-11-11-1-11-1100000000-110000
χ7322-2-2-222-12-2-22-1-21-212-12-1-212-1-22-1-2-211112-1002-200-222i−2i−2i2i-11-1-212-1-11111-1-100000000−2i−2i2i2i00-11002-2001-1−ii−2i2i2i−2ii−i00-2200002i−2i0000ii−i−i000000-11001-1−iii−i00−ii000000
χ7422-2-2-222-12-2-22-1-21-212-12-1-212-1-22-1-2-211112-1002-200-22−2i2i2i−2i-11-1-212-1-11111-1-1000000002i2i−2i−2i00-11002-2001-1i−i2i−2i−2i2i−ii00-220000−2i2i0000−i−iii000000-11001-1i−i−ii00i−i000000
χ7522-2-2-222-12-2-22-1-21-212-12-1-212-1-22-1-2-211112-100-22002-22i−2i−2i2i-11-1-212-1-11111-1-1000000002i2i−2i−2i001-100-2200-11−ii−2i2i2i−2ii−i002-20000−2i2i0000−i−iii0000001-100-11−iii−i00i−i000000
χ7622-2-2-222-12-2-22-1-21-212-12-1-212-1-22-1-2-211112-100-22002-2−2i2i2i−2i-11-1-212-1-11111-1-100000000−2i−2i2i2i001-100-2200-11i−i2i−2i−2i2i−ii002-200002i−2i0000ii−i−i0000001-100-11i−i−ii00−ii000000
χ7722-2-2-22-122-2-2-121-21-22-1-121-2-12-22-111-2-211-122-200-22002i−2i−2i2i-11-11-2-12-11111-1-100002i2i−2i−2i0000-11002-2001-1002i−2ii−i−ii−2i2i-220000−2i2i00−i−iii00000000-11001-100−iii−ii−i00000000
χ7822-2-2-22-122-2-2-121-21-22-1-121-2-12-22-111-2-211-122-200-2200−2i2i2i−2i-11-11-2-12-11111-1-10000−2i−2i2i2i0000-11002-2001-100−2i2i−iii−i2i−2i-2200002i−2i00ii−i−i00000000-11001-100i−i−ii−ii00000000
χ7922-2-2-22-122-2-2-121-21-22-1-121-2-12-22-111-2-211-12-22002-2002i−2i−2i2i-11-11-2-12-11111-1-10000−2i−2i2i2i00001-100-2200-11002i−2ii−i−ii−2i2i2-200002i−2i00ii−i−i000000001-100-1100−iii−i−ii00000000
χ8022-2-2-22-122-2-2-121-21-22-1-121-2-12-22-111-2-211-12-22002-200−2i2i2i−2i-11-11-2-12-11111-1-100002i2i−2i−2i00001-100-2200-1100−2i2i−iii−i2i−2i2-20000−2i2i00−i−iii000000001-100-1100i−i−iii−i00000000
χ812-22-2002222-2-2-22-2-22-2222000000-22-22-22-2-2-20000000000002000000-22-200002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000002i−2i2i−2i2-22-22i−2i2i−2i0000000000000000000000
χ822-22-2002222-2-2-22-2-22-2222000000-22-22-22-2-2-20000000000002000000-22-200002i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000000000−2i2i−2i2i-22-222i−2i2i−2i0000000000000000000000
χ832-22-2002222-2-2-22-2-22-2222000000-22-22-22-2-2-20000000000002000000-22-20000−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000000000002i−2i2i−2i-22-22−2i2i−2i2i0000000000000000000000
χ842-22-2002222-2-2-22-2-22-2222000000-22-22-22-2-2-20000000000002000000-22-20000−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000000000−2i2i−2i2i2-22-2−2i2i−2i2i0000000000000000000000
χ852-2-2200222-22-2-2-222-2-2222000000-2-22-22-22-2-20000000000002000000-2-2200002i−2i−2i2i2-2-22−2i2i2i−2i0000000000000000000000000000002-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ862-2-2200222-22-2-2-222-2-2222000000-2-22-22-22-2-20000000000002000000-2-2200002i−2i−2i2i-222-22i−2i−2i2i000000000000000000000000000000-222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ872-2-2200222-22-2-2-222-2-2222000000-2-22-22-22-2-20000000000002000000-2-220000−2i2i2i−2i2-2-222i−2i−2i2i0000000000000000000000000000002-2-222i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ882-2-2200222-22-2-2-222-2-2222000000-2-22-22-22-2-20000000000002000000-2-220000−2i2i2i−2i-222-2−2i2i2i−2i000000000000000000000000000000-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ894444444-2-2-2-24-24-24-2-2-2-214-24-2-2-2-2-2-211-2-2-210044004400001-2-2-21-21111111100000000000000-2-200-2-200-2-20000000000-2-20000000000000000000011001100000000000000
χ904444444-2-2-2-24-24-24-2-2-2-214-24-2-2-2-2-2-211-2-2-2100-4-400-4-400001-2-2-21-21111111100000000000000220022002200000000002200000000000000000000-1-100-1-100000000000000
χ91444444-24-2-2-2-24-24-24-2-21-2-24-24-2-2-211-2-2-2-21-24400440000001-2-21-21-21111111000000000000-2-200-2-200-2-20000000000-2-2000000000000000000001100110000000000000000
χ92444444-24-2-2-2-24-24-24-2-21-2-24-24-2-2-211-2-2-2-21-2-4-400-4-40000001-2-21-21-21111111000000000000220022002200000000002200000000000000000000-1-100-1-10000000000000000
χ93444444-2-2444-2-2-2-2-2-241-2-2-2-2-2-2441-2-2-2-211-2-2000000004444111-2-2-2-21111111000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000011110000000000
χ94444444-2-2444-2-2-2-2-2-241-2-2-2-2-2-2441-2-2-2-211-2-200000000-4-4-4-4111-2-2-2-2111111100000000000000000000000022222222000000000000000000000000000000-1-1-1-10000000000
χ954444-4-44-2-2-2-24-24-24-2-2-2-21-42-4222-2-2-211-2-2-21004400-4-400001222-12-1111-1-1-1-100000000000000-2-200-2-20022000000000022000000000000000000001100-1-100000000000000
χ964444-4-44-2-2-2-24-24-24-2-2-2-21-42-4222-2-2-211-2-2-2100-4-4004400001222-12-1111-1-1-1-10000000000000022002200-2-20000000000-2-200000000000000000000-1-1001100000000000000
χ974444-4-4-24-2-2-2-24-24-24-2-21-22-42-422-211-2-2-2-21-24400-4-4000000122-12-12111-1-1-1-1000000000000-2-200-2-20022000000000022000000000000000000001100-1-10000000000000000
χ984444-4-4-24-2-2-2-24-24-24-2-21-22-42-422-211-2-2-2-21-2-4-40044000000122-12-12111-1-1-1-100000000000022002200-2-20000000000-2-200000000000000000000-1-100110000000000000000
χ994444-4-4-2-2444-2-2-2-2-2-241-2-22222-4-41-2-2-2-211-2-20000000044-4-41-1-12222111-1-1-1-1000000000000000000000000-2-222-2-22200000000000000000000000000000011-1-10000000000
χ1004444-4-4-2-2444-2-2-2-2-2-241-2-22222-4-41-2-2-2-211-2-200000000-4-4441-1-12222111-1-1-1-100000000000000000000000022-2-222-2-2000000000000000000000000000000-1-1110000000000
χ10144-4-44-44-2-2224-2-42-42-2-2-214-2-42-22-222-1-122-21004-4004-400001-22-212-11-1-111-1-100000000000000-2200-2200-220000000000-22000000000000000000001-1001-100000000000000
χ10244-4-44-44-2-2224-2-42-42-2-2-214-2-42-22-222-1-122-2100-4400-4400001-22-212-11-1-111-1-1000000000000002-2002-2002-200000000002-200000000000000000000-1100-1100000000000000
χ10344-4-44-4-24-222-242-42-4-2-21-2-242-4-22-2-1-122221-24-4004-40000001-221-2-121-1-111-1-1000000000000-2200-2200-220000000000-22000000000000000000001-1001-10000000000000000
χ10444-4-44-4-24-222-242-42-4-2-21-2-242-4-22-2-1-122221-2-4400-440000001-221-2-121-1-111-1-10000000000002-2002-2002-200000000002-200000000000000000000-1100-110000000000000000
χ10544-4-44-4-2-24-4-4-2-2222241-2-2-2-2224-412222-1-1-2-2000000004i−4i4i−4i11-1-2-2221-1-111-1-1000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000i−ii−i0000000000
χ10644-4-44-4-2-24-4-4-2-2222241-2-2-2-2224-412222-1-1-2-200000000−4i4i−4i4i11-1-2-2221-1-111-1-10000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000−ii−ii0000000000
χ10744-4-4-444-2-2224-2-42-42-2-2-21-424-22-2-222-1-122-21004-400-44000012-22-1-211-1-1-1-11100000000000000-2200-22002-200000000002-2000000000000000000001-100-1100000000000000
χ10844-4-4-444-2-2224-2-42-42-2-2-21-424-22-2-222-1-122-2100-44004-4000012-22-1-211-1-1-1-111000000000000002-2002-200-220000000000-2200000000000000000000-11001-100000000000000
χ10944-4-4-44-24-222-242-42-4-2-21-22-4-242-2-2-1-122221-24-400-4400000012-2-121-21-1-1-1-111000000000000-2200-22002-200000000002-2000000000000000000001-100-110000000000000000
χ11044-4-4-44-24-222-242-42-4-2-21-22-4-242-2-2-1-122221-2-44004-400000012-2-121-21-1-1-1-1110000000000002-2002-200-220000000000-2200000000000000000000-11001-10000000000000000
χ11144-4-4-44-2-24-4-4-2-2222241-2-222-2-2-4412222-1-1-2-2000000004i−4i−4i4i1-1122-2-21-1-1-1-111000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000i−i−ii0000000000
χ11244-4-4-44-2-24-4-4-2-2222241-2-222-2-2-4412222-1-1-2-200000000−4i4i4i−4i1-1122-2-21-1-1-1-1110000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000−iii−i0000000000
χ1134-44-40044-2-22-4-44-4-4424-2-2000000-4-22-224-422000000000000-20000002-2200004i−4i4i−4i0000000000000000000000000000000000000000000000−2i2i−2i2i0000000000000000000000
χ1144-44-40044-2-22-4-44-4-4424-2-2000000-4-22-224-422000000000000-20000002-220000−4i4i−4i4i00000000000000000000000000000000000000000000002i−2i2i−2i0000000000000000000000
χ1154-44-4004-244-4-4242-4-2-4-24-200000024-4-22-22-42000000000000-20000002-220000000000004-44-40000000000000000000000000000000000-22-2200000000000000000000000000
χ1164-44-4004-244-4-4242-4-2-4-24-200000024-4-22-22-42000000000000-20000002-22000000000000-44-4400000000000000000000000000000000002-22-200000000000000000000000000
χ1174-44-400-2444-42-4-2-424-4-2-240000002-224-4-222-4000000000000-20000002-22000000004i−4i4i−4i0000000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ1184-44-400-2444-42-4-2-424-4-2-240000002-224-4-222-4000000000000-20000002-2200000000−4i4i−4i4i00000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ1194-4-440044-22-2-4-4-444-424-2-2000000-42-22-2-4422000000000000-200000022-200004i−4i−4i4i0000000000000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000
χ1204-4-440044-22-2-4-4-444-424-2-2000000-42-22-2-4422000000000000-200000022-20000−4i4i4i−4i00000000000000000000000000000000000000000000002i−2i−2i2i0000000000000000000000
χ1214-4-44004-24-44-42-4-242-4-24-20000002-442-22-2-42000000000000-200000022-20000000000004i−4i−4i4i0000000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1224-4-44004-24-44-42-4-242-4-24-20000002-442-22-2-42000000000000-200000022-2000000000000−4i4i4i−4i00000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1234-4-4400-244-442-424-2-4-4-2-2400000022-2-442-22-4000000000000-200000022-2000000004-4-440000000000000000000000000000000000-222-2000000000000000000000000000000
χ1244-4-4400-244-442-424-2-4-4-2-2400000022-2-442-22-4000000000000-200000022-200000000-444-400000000000000000000000000000000002-2-22000000000000000000000000000000
χ125888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222000000000000-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222000000000000-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-88-8-4-4-444-4-44444-4222-4-444-442-2-2-2-2-2-222000000000000-12-222-2-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-88-4-4-444-4-44444-422244-4-44-42-2-2-2-2-2-222000000000000-1-22-2-222-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8008-4-4-44-8484-8-44-4-420000004-442-2-444-20000000000002000000-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-800-48-4-444-8-4-8484-42-400000042-2-44-44-240000000000002000000-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-800-4-488-844-444-4-82-4-4000000-2-44-442-2440000000000002000000-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-800-4-4-4-4444-444-44222000000-22-22-22-2-2-2000000000000-10000001-11−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-800-4-4-4-4444-444-44222000000-22-22-22-2-2-2000000000000-10000001-113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88008-4-44-4-84-8-4844-4-4200000044-4-224-44-20000000000002000000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-8800-48-44-44-848-4-84-42-40000004-224-44-4-240000000000002000000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-8800-4-48-88444-4-44-82-4-4000000-24-44-4-22440000000000002000000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-8800-4-4-44-4444-4-444222000000-2-22-22-22-2-2000000000000-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8800-4-4-44-4444-4-444222000000-2-22-22-22-2-2000000000000-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000000000000000

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