Finite Group Databasebeta

← Group #13171730

Character table — Group #13171730

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222333344444444444444444444446666666666666666668888888888889999121212121212121212121212121212121212121212121212121212121818181818181818181818181818242424242424242427272727363636363636363636365454
order12222233366666666644443336666666666666666666224444444412121212121212123666666666664444666612121212121212121212121212121212121212121212121222444444441212121266121212121212444466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111-1-1111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-1-1-1
χ101111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ111111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ121111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1-1-1
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-111
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ1711-1-11-1111-1-11-11-1-11-111-1-11111-11-11-11-1-111-1-1-1-1-1-1111-11-11-1i−ii−i11-1-111-1-111-11-11-1-111-1-1ii−i−i1-11-11-1i−i1-1i−ii−i1-11-1i−i11-1-111-1-11-11-1i−ii−ii−iii−i−i1-11-1i−ii−iii−i−i1-1i−ii−i1-1i−ii−i
χ1811-1-11-1111-1-11-11-1-11-111-1-11111-11-11-11-1-111-1-1-1-1-1-1111-11-11-1−ii−ii11-1-111-1-111-11-11-1-111-1-1−i−iii1-11-11-1−ii1-1−ii−ii1-11-1−ii11-1-111-1-11-11-1−ii−ii−ii−i−iii1-11-1−ii−ii−i−iii1-1−ii−ii1-1−ii−ii
χ1911-1-11-1111-1-11-11-1-11-111-1-11111-11-11-11-1-111-1-1-1-1-1-111-111-1-11i−ii−i11-1-111-1-111-11-11-1-111-1-1−i−iii-11-11-11i−i1-1i−ii−i1-1-11i−i11-1-111-1-1-11-11i−i−iii−i−i−iii-11-11i−ii−i−i−iii-11i−ii−i-11−ii−ii
χ2011-1-11-1111-1-11-11-1-11-111-1-11111-11-11-11-1-111-1-1-1-1-1-111-111-1-11−ii−ii11-1-111-1-111-11-11-1-111-1-1ii−i−i-11-11-11−ii1-1−ii−ii1-1-11−ii11-1-111-1-1-11-11−iii−i−iiii−i−i-11-11−ii−iiii−i−i-11−ii−ii-11i−ii−i
χ2111-1-11-1111-1-11-11-1-11-1-1-1111111-11-11-11-1-111-1-1-1-1-1-1111-1-111-1i−ii−i-1-111-1-11111-11-11-1-111-1-1ii−i−i1-11-11-1i−i-11i−ii−i-111-1i−i-1-111-1-111-11-11−iii−i−iiii−i−i1-11-1i−ii−i−i−iii-11−ii−ii-11i−i−ii
χ2211-1-11-1111-1-11-11-1-11-1-1-1111111-11-11-11-1-111-1-1-1-1-1-1111-1-111-1−ii−ii-1-111-1-11111-11-11-1-111-1-1−i−iii1-11-11-1−ii-11−ii−ii-111-1−ii-1-111-1-111-11-11i−i−iii−i−i−iii1-11-1−ii−iiii−i−i-11i−ii−i-11−iii−i
χ2311-1-11-1111-1-11-11-1-11-1-1-1111111-11-11-11-1-111-1-1-1-1-1-111-11-11-11i−ii−i-1-111-1-11111-11-11-1-111-1-1−i−iii-11-11-11i−i-11i−ii−i-11-11i−i-1-111-1-1111-11-1−ii−ii−ii−i−iii-11-11i−ii−iii−i−i1-1−ii−ii1-1−iii−i
χ2411-1-11-1111-1-11-11-1-11-1-1-1111111-11-11-11-1-111-1-1-1-1-1-111-11-11-11−ii−ii-1-111-1-11111-11-11-1-111-1-1ii−i−i-11-11-11−ii-11−ii−ii-11-11−ii-1-111-1-1111-11-1i−ii−ii−iii−i−i-11-11−ii−ii−i−iii1-1i−ii−i1-1i−i−ii
χ2511-1-1-11111-1-11-11-1-11-111-1-1111-11-11-111-1-1-1-111-1-1-1-1111-1-11-11i−i−ii11-1-111-1-11-11-111-1-1-1-111ii−i−i1-11-1-11−ii-11i−i−ii-11-11i−i11-1-1-1-111-111-1−ii−iii−iii−i−i1-1-11i−i−iiii−i−i-11i−i−ii1-1−ii−ii
χ2611-1-1-11111-1-11-11-1-11-111-1-1111-11-11-111-1-1-1-111-1-1-1-1111-1-11-11−iii−i11-1-111-1-11-11-111-1-1-1-111−i−iii1-11-1-11i−i-11−iii−i-11-11−ii11-1-1-1-111-111-1i−ii−i−ii−i−iii1-1-11−iii−i−i−iii-11−iii−i1-1i−ii−i
χ2711-1-1-11111-1-11-11-1-11-111-1-1111-11-11-111-1-1-1-111-1-1-1-111-11-111-1i−i−ii11-1-111-1-11-11-111-1-1-1-111−i−iii-11-111-1−ii-11i−i−ii-111-1i−i11-1-1-1-1111-1-11−iii−ii−i−i−iii-111-1i−i−ii−i−iii1-1i−i−ii-11i−ii−i
χ2811-1-1-11111-1-11-11-1-11-111-1-1111-11-11-111-1-1-1-111-1-1-1-111-11-111-1−iii−i11-1-111-1-11-11-111-1-1-1-111ii−i−i-11-111-1i−i-11−iii−i-111-1−ii11-1-1-1-1111-1-11i−i−ii−iiii−i−i-111-1−iii−iii−i−i1-1−iii−i-11−ii−ii
χ2911-1-1-11111-1-11-11-1-11-1-1-111111-11-11-111-1-1-1-111-1-1-1-1111-11-1-11i−i−ii-1-111-1-1111-11-111-1-1-1-111ii−i−i1-11-1-11−ii1-1i−i−ii1-1-11i−i-1-11111-1-11-1-11i−i−ii−iiii−i−i1-1-11i−i−ii−i−iii1-1−iii−i-11−iii−i
χ3011-1-1-11111-1-11-11-1-11-1-1-111111-11-11-111-1-1-1-111-1-1-1-1111-11-1-11−iii−i-1-111-1-1111-11-111-1-1-1-111−i−iii1-11-1-11i−i1-1−iii−i1-1-11−ii-1-11111-1-11-1-11−iii−ii−i−i−iii1-1-11−iii−iii−i−i1-1i−i−ii-11i−i−ii
χ3111-1-1-11111-1-11-11-1-11-1-1-111111-11-11-111-1-1-1-111-1-1-1-111-111-11-1i−i−ii-1-111-1-1111-11-111-1-1-1-111−i−iii-11-111-1−ii1-1i−i−ii1-11-1i−i-1-11111-1-1-111-1i−ii−i−ii−i−iii-111-1i−i−iiii−i−i-11−iii−i1-1i−i−ii
χ3211-1-1-11111-1-11-11-1-11-1-1-111111-11-11-111-1-1-1-111-1-1-1-111-111-11-1−iii−i-1-111-1-1111-11-111-1-1-1-111ii−i−i-11-111-1i−i1-1−iii−i1-11-1−ii-1-11111-1-1-111-1−ii−iii−iii−i−i-111-1−iii−i−i−iii-11i−i−ii1-1−iii−i
χ3322222222-1-1-122222-1222222-1-12222-1-12-1-1-1-1-1-1-1-122-1-122222200002222-1-1-1-1-122-1-1-1-1-1-1-1-1-1000022-1-12200220000-1-1-1-100-1-1-1-1-1-1-1-122220000000000-1-1-1-100000000-1-10000-1-10000
χ3422222222-1-1-122222-1222222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-222-2-200002222-1-1-1-1-122-1-1-1-1-1-1-1-1-10000-2-211-2-200220000-1-11100-1-1-1-1-1-1-1-1-2-2-2-20000000000111100000000110000110000
χ3522222222-1-1-122222-12-2-2-2-22-1-12222-1-12-1-1-1-1-1-1-1-122-1-122-2-2220000-2-2-2-21111-122-1-1-1-1-1-1-1-1-1000022-1-12200-2-2000011-1-10011111111-2-2-2-20000000000-1-1-1-100000000110000110000
χ3622222222-1-1-122222-12-2-2-2-22-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-20000-2-2-2-21111-122-1-1-1-1-1-1-1-1-10000-2-211-2-200-2-200001111001111111122220000000000111100000000-1-10000-1-10000
χ372222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-12220022222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-10022220022-1-1000000000000002200-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-100
χ382222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-12220022-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-11100-2-2-2-200221100000000000000-2-2001111-1-1-1-111110000000000001100
χ392222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-12-2-200-2-2222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211-1-100222200-2-2-1-100000000000000-2-20011111111-1-1-1-10000000000001100
χ402222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-12-2-200-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1222211-2-2111100-2-2-2-200-2-211000000000000002200-1-1-1-111111111000000000000-1-100
χ41222222-1222222-1-1-1222222-1-12-1-12222-1-1-1-1-1-1-122-1-12-10022002222-1-1-1-12222-1-1-122-1-1-1-1-1-1-1000000000022-1-1-1-1-1-1220022-1-1-1-1-1-1-1-1000022002200000000-1-1-1-1000000-1-1-1-1000000
χ42222222-1222222-1-1-1222222-1-12-1-12222-1-1-1-1-1-1-122-1-12-1002200-2-2-2-2-1-1-1-12222-1-1-122-1-1-1-1-1-1-10000000000-2-2-1-111112200-2-2-1-1-1-1-1-1-1-10000-2-200-2-20000000011110000001111000000
χ43222222-1222222-1-1-122-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-122-1-12-100-2-20022221111-2-2-2-2-1-1-122-1-1-1-1-1-1-100000000002211-1-1-1-1-2-20022111111110000-2-200-2-200000000-1-1-1-10000001111000000
χ44222222-1222222-1-1-122-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-122-1-12-100-2-200-2-2-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-10000000000-2-2111111-2-200-2-2111111110000220022000000001111000000-1-1-1-1000000
χ452222-2-222-1-1-122222-1222222-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-2-200002222-1-1-1-1-1-2-211-1-1-11111000022-1-1-2-200-2-20000111100-1-1-1-11111-2-2220000000000-1-11100000000110000-1-10000
χ462222-2-222-1-1-122222-1222222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-2-2-22200002222-1-1-1-1-1-2-211-1-1-111110000-2-2112200-2-2000011-1-100-1-1-1-1111122-2-2000000000011-1-100000000-1-10000110000
χ472222-2-222-1-1-122222-12-2-2-2-22-1-1-2-2-2-2112-1-11111-1-122-1-12222-2-20000-2-2-2-21111-1-2-211-1-1-11111000022-1-1-2-200220000-1-111001111-1-1-1-122-2-20000000000-1-11100000000-1-10000110000
χ482222-2-222-1-1-122222-12-2-2-2-22-1-1-2-2-2-2112-1-11111-1-122-1-1-2-222220000-2-2-2-21111-1-2-211-1-1-111110000-2-2112200220000-1-1-1-1001111-1-1-1-1-2-222000000000011-1-100000000110000-1-10000
χ492222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-122200-2-222-2-200000000-11111-1-1-111112222-1-12211110022-2-200-2-2-1-100000000000000-2-200-1-1-1-1-1-111-1-1110000000000001100
χ502222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-122200-2-2-2-22200000000-11111-1-1-11111-2-2-2-2-1-12211-1-100-2-22200-2-2110000000000000022001111-1-11111-1-1000000000000-1-100
χ512222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-12-2-2002222-2-200000000-11111-1-1-11111-2-2-2-211-2-2-1-1110022-2-20022-1-1000000000000002200111111-1-1-1-111000000000000-1-100
χ522222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-12-2-20022-2-22200000000-11111-1-1-11111222211-2-2-1-1-1-100-2-22200221100000000000000-2-200-1-1-1-111-1-111-1-10000000000001100
χ532222-2-2-1222222-1-1-1222222-1-1211-2-2-2-2-1-1-1111122-1-12-100-2-20022-2-2-1-1-1-12222-111-2-2-1-1-111110000000000-2-211-1-111-2-20022-1-1-1-111110000-2-2002200000000-1-111000000-1-111000000
χ542222-2-2-1222222-1-1-1222222-1-1211-2-2-2-2-1-1-1111122-1-12-100-2-200-2-222-1-1-1-12222-111-2-2-1-1-111110000000000221111-1-1-2-200-2-2-1-1-1-1111100002200-2-20000000011-1-100000011-1-1000000
χ552222-2-2-1222222-1-1-122-2-2-2-2-1-1211-2-2-2-2-1-1-1111122-1-12-100220022-2-21111-2-2-2-2-111-2-2-1-1-111110000000000-2-2-1-1-1-1112200221111-1-1-1-100002200-2-200000000-1-11100000011-1-1000000
χ562222-2-2-1222222-1-1-122-2-2-2-2-1-1211-2-2-2-2-1-1-1111122-1-12-1002200-2-2221111-2-2-2-2-111-2-2-1-1-11111000000000022-1-111-1-12200-2-21111-1-1-1-10000-2-200220000000011-1-1000000-1-111000000
χ5722-2-22-222-1112-22-2-2-1-222-2-22-1-12-22-2-11211-1-11111-2-2-1-12-22-22-2000022-2-2-1-111-12-2-11-111-1-11100002-2-112-2002-20000-11-1100-1-111-1-1112-22-20000000000-11-1100000000-110000-110000
χ5822-2-22-222-1112-22-2-2-1-222-2-22-1-12-22-2-11211-1-11111-2-2-1-1-222-2-22000022-2-2-1-111-12-2-11-111-1-1110000-221-1-22002-20000-111-100-1-111-1-111-22-2200000000001-11-1000000001-100001-10000
χ5922-2-22-222-1112-22-2-2-1-2-2-2222-1-12-22-2-11211-1-11111-2-2-1-12-2-222-20000-2-22211-1-1-12-2-11-111-1-11100002-2-112-200-2200001-1-110011-1-111-1-1-22-220000000000-11-11000000001-100001-10000
χ6022-2-22-222-1112-22-2-2-1-2-2-2222-1-12-22-2-11211-1-11111-2-2-1-1-22-22-220000-2-22211-1-1-12-2-11-111-1-1110000-221-1-2200-2200001-11-10011-1-111-1-12-22-200000000001-11-100000000-110000-110000
χ6122-2-22-22-12-2-2-112-2-2210000-12-12-2-112-2-1-2-222-2-21111-122-2002-22i−2i2i−2i00000000-1-11-11-111-1-1112i2i−2i−2i-112-2-11−ii002i−2i2i−2i002-2−ii000000000000002i−2i00−i−iii-11-11−ii−ii000000000000−ii00
χ6222-2-22-22-12-2-2-112-2-2210000-12-12-2-112-2-1-2-222-2-21111-122-2002-2−2i2i−2i2i00000000-1-11-11-111-1-111−2i−2i2i2i-112-2-11i−i00−2i2i−2i2i002-2i−i00000000000000−2i2i00ii−i−i-11-11i−ii−i000000000000i−i00
χ6322-2-22-22-12-2-2-112-2-2210000-12-12-2-112-2-1-2-222-2-21111-12-2200-222i−2i2i−2i00000000-1-11-11-111-1-111−2i−2i2i2i1-1-221-1−ii002i−2i2i−2i00-22−ii00000000000000−2i2i00ii−i−i1-11-1−ii−ii000000000000i−i00
χ6422-2-22-22-12-2-2-112-2-2210000-12-12-2-112-2-1-2-222-2-21111-12-2200-22−2i2i−2i2i00000000-1-11-11-111-1-1112i2i−2i−2i1-1-221-1i−i00−2i2i−2i2i00-22i−i000000000000002i−2i00−i−iii1-11-1i−ii−i000000000000−ii00
χ6522-2-22-2-122-2-22-2-1112-222-2-2-1-12-112-22-2-111-1-111-2-2112-1002-2002i−2i2i−2i-1-11122-2-2-1-112-2-111-1-11100000000002i−2i-11−ii−ii2-2002i−2i-1-111-1-11100002i−2i002i−2i00000000−ii−ii000000−ii−ii000000
χ6622-2-22-2-122-2-22-2-1112-222-2-2-1-12-112-22-2-111-1-111-2-2112-1002-200−2i2i−2i2i-1-11122-2-2-1-112-2-111-1-1110000000000−2i2i-11i−ii−i2-200−2i2i-1-111-1-1110000−2i2i00−2i2i00000000i−ii−i000000i−ii−i000000
χ6722-2-22-2-122-2-22-2-1112-2-2-222-1-12-112-22-2-111-1-111-2-2112-100-22002i−2i2i−2i11-1-1-2-222-1-112-2-111-1-11100000000002i−2i1-1−ii−ii-22002i−2i11-1-111-1-10000−2i2i00−2i2i00000000−ii−ii000000i−ii−i000000
χ6822-2-22-2-122-2-22-2-1112-2-2-222-1-12-112-22-2-111-1-111-2-2112-100-2200−2i2i−2i2i11-1-1-2-222-1-112-2-111-1-1110000000000−2i2i1-1i−ii−i-2200−2i2i11-1-111-1-100002i−2i002i−2i00000000i−ii−i000000−ii−ii000000
χ6922-2-2-2222-1112-22-2-2-1-222-2-22-1-1-22-221-121111-1-111-2-2-1-12-2-22-22000022-2-2-1-111-1-221-1-11111-1-100002-2-11-2200-2200001-11-100-1-11111-1-1-222-20000000000-111-1000000001-10000-110000
χ7022-2-2-2222-1112-22-2-2-1-222-2-22-1-1-22-221-121111-1-111-2-2-1-1-22-222-2000022-2-2-1-111-1-221-1-11111-1-10000-221-12-200-2200001-1-1100-1-11111-1-12-2-2200000000001-1-1100000000-1100001-10000
χ7122-2-2-2222-1112-22-2-2-1-2-2-2222-1-1-22-221-121111-1-111-2-2-1-12-22-2-220000-2-22211-1-1-1-221-1-11111-1-100002-2-11-22002-20000-111-10011-1-1-1-1112-2-220000000000-111-100000000-1100001-10000
χ7222-2-2-2222-1112-22-2-2-1-2-2-2222-1-1-22-221-121111-1-111-2-2-1-1-222-22-20000-2-22211-1-1-1-221-1-11111-1-10000-221-12-2002-20000-11-110011-1-1-1-111-222-200000000001-1-11000000001-10000-110000
χ7322-2-2-222-12-2-2-112-2-2210000-12-1-221-1-22-1-2-2-2-2221111-122-200-222i−2i−2i2i00000000-11-11-1-11111-1-12i2i−2i−2i-112-21-1i−i002i−2i−2i2i00-22−ii00000000000000−2i2i00−i−iii-111-1−iii−i000000000000i−i00
χ7422-2-2-222-12-2-2-112-2-2210000-12-1-221-1-22-1-2-2-2-2221111-122-200-22−2i2i2i−2i00000000-11-11-1-11111-1-1−2i−2i2i2i-112-21-1−ii00−2i2i2i−2i00-22i−i000000000000002i−2i00ii−i−i-111-1i−i−ii000000000000−ii00
χ7522-2-2-222-12-2-2-112-2-2210000-12-1-221-1-22-1-2-2-2-2221111-12-22002-22i−2i−2i2i00000000-11-11-1-11111-1-1−2i−2i2i2i1-1-22-11i−i002i−2i−2i2i002-2−ii000000000000002i−2i00ii−i−i1-1-11−iii−i000000000000−ii00
χ7622-2-2-222-12-2-2-112-2-2210000-12-1-221-1-22-1-2-2-2-2221111-12-22002-2−2i2i2i−2i00000000-11-11-1-11111-1-12i2i−2i−2i1-1-22-11−ii00−2i2i2i−2i002-2i−i00000000000000−2i2i00−i−iii1-1-11i−i−ii000000000000i−i00
χ7722-2-2-22-122-2-22-2-1112-222-2-2-1-121-1-22-22-11111-1-1-2-2112-100-22002i−2i−2i2i-1-11122-2-2-11-1-22-11111-1-10000000000−2i2i1-1−iii−i-22002i−2i-1-11111-1-10000−2i2i002i−2i00000000−iii−i000000−iii−i000000
χ7822-2-2-22-122-2-22-2-1112-222-2-2-1-121-1-22-22-11111-1-1-2-2112-100-2200−2i2i2i−2i-1-11122-2-2-11-1-22-11111-1-100000000002i−2i1-1i−i−ii-2200−2i2i-1-11111-1-100002i−2i00−2i2i00000000i−i−ii000000i−i−ii000000
χ7922-2-2-22-122-2-22-2-1112-2-2-222-1-121-1-22-22-11111-1-1-2-2112-1002-2002i−2i−2i2i11-1-1-2-222-11-1-22-11111-1-10000000000−2i2i-11−iii−i2-2002i−2i11-1-1-1-11100002i−2i00−2i2i00000000−iii−i000000i−i−ii000000
χ8022-2-2-22-122-2-22-2-1112-2-2-222-1-121-1-22-22-11111-1-1-2-2112-1002-200−2i2i2i−2i11-1-1-2-222-11-1-22-11111-1-100000000002i−2i-11i−i−ii2-200−2i2i11-1-1-1-1110000−2i2i002i−2i00000000i−i−ii000000−iii−i000000
χ812-22-2002222-2-2-2-22-2-222i−2i2i−2i222000000-22-200002-22-2-2-200000000002i−2i2i−2i2i−2i2i−2i20000-22-200002-22-2000000000000000000002i−2i2i−2i000000000000002-22-2000000002i−2i2i−2i000000000000
χ822-22-2002222-2-2-2-22-2-222i−2i2i−2i222000000-22-200002-22-2-2-200000000002i−2i2i−2i2i−2i2i−2i20000-22-20000-22-22000000000000000000002i−2i2i−2i00000000000000-22-2200000000−2i2i−2i2i000000000000
χ832-22-2002222-2-2-2-22-2-22−2i2i−2i2i222000000-22-200002-22-2-2-20000000000−2i2i−2i2i−2i2i−2i2i20000-22-200002-22-200000000000000000000−2i2i−2i2i000000000000002-22-200000000−2i2i−2i2i000000000000
χ842-22-2002222-2-2-2-22-2-22−2i2i−2i2i222000000-22-200002-22-2-2-20000000000−2i2i−2i2i−2i2i−2i2i20000-22-20000-22-2200000000000000000000−2i2i−2i2i00000000000000-22-22000000002i−2i2i−2i000000000000
χ852-2-2200222-22-22-2-22-2-22i−2i−2i2i222000000-2-220000-22-22-2-200000000002i−2i−2i2i2i−2i−2i2i20000-2-2200002i−2i−2i2i000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000-222-2000000000000
χ862-2-2200222-22-22-2-22-2-22i−2i−2i2i222000000-2-220000-22-22-2-200000000002i−2i−2i2i2i−2i−2i2i20000-2-220000−2i2i2i−2i000000000000000000002i−2i−2i2i00000000000000−2i2i2i−2i000000002-2-22000000000000
χ872-2-2200222-22-22-2-22-2-2−2i2i2i−2i222000000-2-220000-22-22-2-20000000000−2i2i2i−2i−2i2i2i−2i20000-2-2200002i−2i−2i2i00000000000000000000−2i2i2i−2i000000000000002i−2i−2i2i000000002-2-22000000000000
χ882-2-2200222-22-22-2-22-2-2−2i2i2i−2i222000000-2-220000-22-22-2-20000000000−2i2i2i−2i−2i2i2i−2i20000-2-220000−2i2i2i−2i00000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000-222-2000000000000
χ894444444-2-2-2-2-2-2444-2-20000-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-24400440000000000001-2-21111111110000-2-2-2-2-2-20000000000-2-2000000000000000000000000111100000000000000000000
χ904444444-2-2-2-2-2-2444-2-20000-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-2-4-400-4-40000000000001-2-21111111110000222222000000000022000000000000000000000000-1-1-1-100000000000000000000
χ91444444-24-2-2-244-2-2-2-244444-21-2-2-244-2-2-2111111-2-2-2-2-210044000000-2-2-2-2-2-2-2-21-2-2-2-21111111000000000000-2-20000-2-200001111111100000000000000000000000000000000000000
χ92444444-24-2-2-244-2-2-2-24-4-4-4-4-21-2-2-244-2-2-2111111-2-2-2-2-2100-4-4000000222222221-2-2-2-21111111000000000000220000220000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ93444444-2-2444-2-2-2-2-24-200001-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-2000000444400000000111-2-211111110000000000-2-200-2-2-2-20000-2-20000000000000000000000000011110000000000000000
χ94444444-2-2444-2-2-2-2-24-200001-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-2000000-4-4-4-400000000111-2-2111111100000000002200222200002200000000000000000000000000-1-1-1-10000000000000000
χ954444-4-44-2-2-2-2-2-2444-2-20000-2-21-4-42222-2-2-2222211-2-21-24400-4-4000000000000122-1-1111-1-1-1-10000-2-2-2-22200000000002200000000000000000000000011-1-100000000000000000000
χ964444-4-44-2-2-2-2-2-2444-2-20000-2-21-4-42222-2-2-2222211-2-21-2-4-40044000000000000122-1-1111-1-1-1-100002222-2-20000000000-2-2000000000000000000000000-1-11100000000000000000000
χ974444-4-4-24-2-2-244-2-2-2-244444-21-222-4-422-211-1-1-1-1-2-2-2-2-2100-4-4000000-2-2-2-2-2-2-2-212222111-1-1-1-10000000000002200002200001111-1-1-1-100000000000000000000000000000000000000
χ984444-4-4-24-2-2-244-2-2-2-24-4-4-4-4-21-222-4-422-211-1-1-1-1-2-2-2-2-2100440000002222222212222111-1-1-1-1000000000000-2-20000-2-20000-1-1-1-1111100000000000000000000000000000000000000
χ994444-4-4-2-2444-2-2-2-2-24-200001-2-22222-4-41-2-22222-2-211-2-200000044-4-4000000001-1-122111-1-1-1-100000000002200-2-2220000-2-20000000000000000000000000011-1-10000000000000000
χ1004444-4-4-2-2444-2-2-2-2-24-200001-2-22222-4-41-2-22222-2-211-2-2000000-4-444000000001-1-122111-1-1-1-10000000000-2-20022-2-200002200000000000000000000000000-1-1110000000000000000
χ10144-4-44-44-2-222-224-4-4-220000-2-214-4-22-22-222-2-222-1-1221-24-4004-40000000000001-221-11-1-111-1-10000-22-22-220000000000-220000000000000000000000001-11-100000000000000000000
χ10244-4-44-44-2-222-224-4-4-220000-2-214-4-22-22-222-2-222-1-1221-2-4400-440000000000001-221-11-1-111-1-100002-22-22-200000000002-2000000000000000000000000-11-1100000000000000000000
χ10344-4-44-4-24-2224-4-222-2-444-4-4-21-2-224-4-22-2-1-111-1-12222-21004-4000000-2-222-2-2221-22-221-1-111-1-1000000000000-220000-22000011-1-111-1-100000000000000000000000000000000000000
χ10444-4-44-4-24-2224-4-222-2-4-4-444-21-2-224-4-22-2-1-111-1-12222-2100-4400000022-2-222-2-21-22-221-1-111-1-10000000000002-200002-20000-1-111-1-11100000000000000000000000000000000000000
χ10544-4-44-4-2-24-4-4-22-2224200001-2-2-22-224-4122-2-22222-1-1-2-20000004i−4i4i−4i0000000011-1-221-1-111-1-10000000000−2i2i00−2i2i−2i2i0000−2i2i00000000000000000000000000i−ii−i0000000000000000
χ10644-4-44-4-2-24-4-4-22-2224200001-2-2-22-224-4122-2-22222-1-1-2-2000000−4i4i−4i4i0000000011-1-221-1-111-1-100000000002i−2i002i−2i2i−2i00002i−2i00000000000000000000000000−ii−ii0000000000000000
χ10744-4-4-444-2-222-224-4-4-220000-2-21-442-22-2-22222-2-2-1-1221-24-400-4400000000000012-2-111-1-1-1-1110000-22-222-200000000002-20000000000000000000000001-1-1100000000000000000000
χ10844-4-4-444-2-222-224-4-4-220000-2-21-442-22-2-22222-2-2-1-1221-2-44004-400000000000012-2-111-1-1-1-11100002-22-2-220000000000-22000000000000000000000000-111-100000000000000000000
χ10944-4-4-44-24-2224-4-222-2-444-4-4-21-22-2-442-2-2-1-1-1-1112222-2100-44000000-2-222-2-22212-22-21-1-1-1-1110000000000002-200002-2000011-1-1-1-11100000000000000000000000000000000000000
χ11044-4-4-44-24-2224-4-222-2-4-4-444-21-22-2-442-2-2-1-1-1-1112222-21004-400000022-2-222-2-212-22-21-1-1-1-111000000000000-220000-220000-1-11111-1-100000000000000000000000000000000000000
χ11144-4-4-44-2-24-4-4-22-2224200001-2-22-22-2-4412222-2-222-1-1-2-20000004i−4i−4i4i000000001-112-21-1-1-1-11100000000002i−2i00−2i2i2i−2i0000−2i2i00000000000000000000000000i−i−ii0000000000000000
χ11244-4-4-44-2-24-4-4-22-2224200001-2-22-22-2-4412222-2-222-1-1-2-2000000−4i4i4i−4i000000001-112-21-1-1-1-1110000000000−2i2i002i−2i−2i2i00002i−2i00000000000000000000000000−iii−i0000000000000000
χ1134-44-40044-2-22-4-4-44-4244i−4i4i−4i4-2-2000000-4-220000-224-42200000000004i−4i4i−4i−2i2i−2i2i-200002-220000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000
χ1144-44-40044-2-22-4-4-44-424−4i4i−4i4i4-2-2000000-4-220000-224-4220000000000−4i4i−4i4i2i−2i2i−2i-200002-2200000000000000000000000000002i−2i2i−2i000000000000000000000000000000000000000000
χ1154-44-4004-244-422-44-4-4-20000-24-200000024-40000-22-222-4000000000000000000-200002-2200004-44-400000000000000000000000000000000000000-22-22000000000000000000000000
χ1164-44-4004-244-422-44-4-4-20000-24-200000024-40000-22-222-4000000000000000000-200002-220000-44-44000000000000000000000000000000000000002-22-2000000000000000000000000
χ1174-44-400-2444-4-4-42-22-444i−4i4i−4i-2-240000002-2200004-4-22-420000000000−2i2i−2i2i4i−4i4i−4i-200002-220000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000
χ1184-44-400-2444-4-4-42-22-44−4i4i−4i4i-2-240000002-2200004-4-22-4200000000002i−2i2i−2i−4i4i−4i4i-200002-2200000000000000000000000000002i−2i2i−2i000000000000000000000000000000000000000000
χ1194-44-400-24-2-22-4-42-22244i−4i4i−4i-21-200000021-13-33-3-22-222-10000000000−2i2i−2i2i−2i2i−2i2i10000-11-13-33-3000000000000000000000000i−ii−i3i−3i3i−3i00000000000000000000000000000000000000
χ1204-44-400-24-2-22-4-42-22244i−4i4i−4i-21-200000021-1-33-33-22-222-10000000000−2i2i−2i2i−2i2i−2i2i10000-11-1-33-33000000000000000000000000i−ii−i−3i3i−3i3i00000000000000000000000000000000000000
χ1214-44-400-24-2-22-4-42-2224−4i4i−4i4i-21-200000021-13-33-3-22-222-100000000002i−2i2i−2i2i−2i2i−2i10000-11-13-33-3000000000000000000000000−ii−ii−3i3i−3i3i00000000000000000000000000000000000000
χ1224-44-400-24-2-22-4-42-2224−4i4i−4i4i-21-200000021-1-33-33-22-222-100000000002i−2i2i−2i2i−2i2i−2i10000-11-1-33-33000000000000000000000000−ii−ii3i−3i3i−3i00000000000000000000000000000000000000
χ1234-4-440044-22-2-44-4-442-44i−4i−4i4i4-2-2000000-42-200002-2-442200000000004i−4i−4i4i−2i2i2i−2i-2000022-20000000000000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000
χ1244-4-440044-22-2-44-4-442-4−4i4i4i−4i4-2-2000000-42-200002-2-44220000000000−4i4i4i−4i2i−2i−2i2i-2000022-200000000000000000000000000002i−2i−2i2i000000000000000000000000000000000000000000
χ1254-4-44004-24-442-2-4-44-420000-24-20000002-4400002-22-22-4000000000000000000-2000022-200004i−4i−4i4i00000000000000000000000000000000000000−2i2i2i−2i000000000000000000000000
χ1264-4-44004-24-442-2-4-44-420000-24-20000002-4400002-22-22-4000000000000000000-2000022-20000−4i4i4i−4i000000000000000000000000000000000000002i−2i−2i2i000000000000000000000000
χ1274-4-4400-244-44-4422-2-4-44i−4i−4i4i-2-2400000022-20000-442-2-420000000000−2i2i2i−2i4i−4i−4i4i-2000022-20000000000000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000
χ1284-4-4400-244-44-4422-2-4-4−4i4i4i−4i-2-2400000022-20000-442-2-4200000000002i−2i−2i2i−4i4i4i−4i-2000022-200000000000000000000000000002i−2i−2i2i000000000000000000000000000000000000000000
χ1294-4-4400-24-22-2-4422-22-44i−4i−4i4i-21-20000002-113-3-332-22-22-10000000000−2i2i2i−2i−2i2i2i−2i10000-1-113-3-33000000000000000000000000i−i−ii3i−3i−3i3i00000000000000000000000000000000000000
χ1304-4-4400-24-22-2-4422-22-44i−4i−4i4i-21-20000002-11-333-32-22-22-10000000000−2i2i2i−2i−2i2i2i−2i10000-1-11-333-3000000000000000000000000i−i−ii−3i3i3i−3i00000000000000000000000000000000000000
χ1314-4-4400-24-22-2-4422-22-4−4i4i4i−4i-21-20000002-113-3-332-22-22-100000000002i−2i−2i2i2i−2i−2i2i10000-1-113-3-33000000000000000000000000−iii−i−3i3i3i−3i00000000000000000000000000000000000000
χ1324-4-4400-24-22-2-4422-22-4−4i4i4i−4i-21-20000002-11-333-32-22-22-100000000002i−2i−2i2i2i−2i−2i2i10000-1-11-333-3000000000000000000000000−iii−i3i−3i−3i3i00000000000000000000000000000000000000
χ133888888-4-4-4-4-4-4-4-4-4-4-4-40000222-4-4-4-4-4-42222222222222000000000000000000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-8-8-4-4-4-4-4-4-4-4-4-4-4-40000222444444222-2-2-2-2222222000000000000000000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-88-8-4-4-444-44-444-440000222-44-44-442-2-222-2-2-2-2-2-222000000000000000000-12-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-88-4-4-444-44-444-4400002224-44-44-42-2-2-2-222-2-2-2-222000000000000000000-1-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-8008-4-4-4444-88-84-40000-4-420000004-4400002-2-44-2400000000000000000020000-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-800-4-488-8444-44-8-400002-4-4000000-2-440000-442-24400000000000000000020000-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-800-4-4-4-44444-444-40000222000000-22-26-66-62-22-2-2-2000000000000000000-100001-11-33-330000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-800-4-4-4-44444-444-40000222000000-22-2-66-662-22-2-2-2000000000000000000-100001-113-33-30000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-88008-4-44-44-4-8-88440000-4-4200000044-40000-224-4-2400000000000000000020000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-8800-4-48-884-444-4-8400002-4-4000000-24-400004-4-224400000000000000000020000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8800-4-4-44-44-444-4440000222000000-2-226-6-66-22-22-2-2000000000000000000-1000011-1-333-30000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8800-4-4-44-44-444-4440000222000000-2-22-666-6-22-22-2-2000000000000000000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000000000000000

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