Finite Group Databasebeta

← Group #11802500

Character table — Group #11802500

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order1222222233444466666666666666444444443444466666661212121212121212121212121212121244444444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212121212121244444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111-1-1-1-111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1iiii−i−i−i−i11-11-11-1-1-1-1111111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1i−ii−i1-11-1
χ1811-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1iiii−i−i−i−i11-11-11-1-1-1-1111111-1-1-1-111-1-111-1-1ii−i−i−i−iii−i−iiiiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−ii−i−ii−iiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-111-1-111−ii−ii-11-11
χ1911-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1iiii−i−i−i−i1-11-111-1-1-1-1111111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iiiii−i−i−i−i-11-1111-1-1-1-111-1-111−ii−ii−ii−iiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1−ii−ii-11-11
χ2011-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1iiii−i−i−i−i1-11-111-1-1-1-1111111-1-1-1-1-1-111-1-111ii−i−i−i−iii−i−iiiiiii−i−i−i−i-11-1111-1-1-1-111-1-111−ii−iii−ii−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111i−ii−i1-11-1
χ2111-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1−i−i−i−iiiii11-11-11-1-1-1-1111111-1-1-1-111-1-111-1-1−i−iiiii−i−iii−i−i−i−i−i−iiiii1-11-111-1-111-1-111-1-1−ii−iii−ii−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-111-1-111i−ii−i-11-11
χ2211-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1−i−i−i−iiiii11-11-11-1-1-1-1111111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−ii−ii1-11-1
χ2311-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1−i−i−i−iiiii1-11-111-1-1-1-1111111-1-1-1-1-1-111-1-111−i−iiiii−i−iii−i−i−i−i−i−iiiii-11-1111-1-1-1-111-1-111i−ii−i−ii−ii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-111−ii−ii1-11-1
χ2411-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1−i−i−i−iiiii1-11-111-1-1-1-1111111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−i−i−iiiii-11-1111-1-1-1-111-1-111i−ii−ii−ii−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1i−ii−i-11-11
χ2511-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i1-1-11-1-11111-1-1-1-111i−i−iii−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111i−i−ii1-1-11
χ2611-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iii−i−iiiii−i−iiiii−i−i−i−i1-1-11-1-11111-1-1-1-111i−i−ii−iii−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−iii−i-111-1
χ2711-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1iiii−i−i−i−i1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiiiii−i−i−i−i-111-1-1-111-1-11111-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−iii−i-111-1
χ2811-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1iiii−i−i−i−i1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1−i−iii−i−iiiii−i−iiiii−i−i−i−i-111-1-1-111-1-11111-1-1−iii−ii−i−ii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1i−i−ii1-1-11
χ2911-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−iii−i−i−i−iii−i−i−i−iiiii1-1-11-1-11111-1-1-1-111−iii−ii−i−iiii−i−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1i−i−ii-111-1
χ3011-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii1-1-11-1-11111-1-1-1-111−iii−i−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111−iii−i1-1-11
χ3111-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1−i−i−i−iiiii1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1ii−i−iii−i−i−i−iii−i−i−i−iiiii-111-1-1-111-1-11111-1-1i−i−ii−iii−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-11111-1-1−iii−i1-1-11
χ3211-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1−i−i−i−iiiii1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−i−i−iiiii-111-1-1-111-1-11111-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111i−i−ii-111-1
χ33222222222-122222-122-12-12-12-1-1-1222222222-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000
χ34222222222-122222-122-12-12-12-1-1-1222222222-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111222200000000-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-20000-1-1-1-100001111111100000000000000000000
χ35222222222-122222-122-12-12-12-1-1-12-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111100001111111100000000000000000000
χ36222222222-122222-122-12-12-12-1-1-12-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111-2-2-2-20000000011111111-2-2-2-2-1-1-1-1111111112222000011110000-1-1-1-1-1-1-1-100000000000000000000
χ37222222222-1-2-2-2-22-122-12-12-12-1-1-1222222222-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111122-2-2000011110000-1-1-1-1111100000000000000000000
χ38222222222-1-2-2-2-22-122-12-12-12-1-1-1222222222-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-2220000111100001111-1-1-1-100000000000000000000
χ39222222222-1-2-2-2-22-122-12-12-12-1-1-12-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-111112222000000001111111122-2-21111-1-1-1-11111-2-2220000-1-1-1-100001111-1-1-1-100000000000000000000
χ40222222222-1-2-2-2-22-122-12-12-12-1-1-12-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-122220000000011111111-2-22211111111-1-1-1-122-2-20000-1-1-1-10000-1-1-1-1111100000000000000000000
χ4122222222-122222-12-1-12-12-12-1222-100000000-12222-1-1-1-1-1-1-1-1-122-1-1222222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-100000000-1-1-1-100000000-1-1-1-10000
χ4222222222-122222-12-1-12-12-12-1222-100000000-12222-1-1-1-1-1-1-1-1-122-1-122222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000011110000000011110000000011110000
χ4322222222-122222-12-1-12-12-12-1222-100000000-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-2000022222222000000001111-1-1-1-1111111110000-2-2-2-20000-1-1-1-100000000-1-1-1-10000000011110000
χ4422222222-122222-12-1-12-12-12-1222-100000000-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2000000001111-1-1-1-111111111000022220000111100000000111100000000-1-1-1-10000
χ4522222222-12-2-2-2-2-12-1-12-12-12-1222-100000000-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200002222-2-2-2-200000000-1-1111111-1-1-1-11111000022-2-20000-1-1-1-100000000111100000000-1-1110000
χ4622222222-12-2-2-2-2-12-1-12-12-12-1222-100000000-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-20000-2-2-2-2222200000000-1-1111111-1-1-1-111110000-2-2220000111100000000-1-1-1-10000000011-1-10000
χ4722222222-12-2-2-2-2-12-1-12-12-12-1222-100000000-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200002222-2-2-2-20000000011-1-111111111-1-1-1-10000-2-2220000-1-1-1-10000000011110000000011-1-10000
χ4822222222-12-2-2-2-2-12-1-12-12-12-1222-100000000-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-222220000-2-2-2-222220000000011-1-111111111-1-1-1-1000022-2-20000111100000000-1-1-1-100000000-1-1110000
χ492222-2-2-2-2222-22-2-2-222-222-2-2-222-2-222-2-222-2-220000-222-2-22-22-22-22-22-2000000002-22-20000000022-2-222-2-200002-22-200000000000000002-22-200000000000000000000000000000000
χ502222-2-2-2-2222-22-2-2-222-222-2-2-222-2-2-2-222-2-22220000-222-2-22-22-22-22-22-200000000-22-2200000000-2-222-2-22200002-22-20000000000000000-22-2200000000000000000000000000000000
χ512222-2-2-2-222-22-22-2-222-222-2-2-222-2-222-2-222-2-220000-222-2-22-2-22-22-22-2200000000-22-220000000022-2-222-2-20000-22-220000000000000000-22-2200000000000000000000000000000000
χ522222-2-2-2-222-22-22-2-222-222-2-2-222-2-2-2-222-2-22220000-222-2-22-2-22-22-22-22000000002-22-200000000-2-222-2-2220000-22-2200000000000000002-22-200000000000000000000000000000000
χ532222-2-2-2-22-12-22-2-212212-1-21-2-1-11-222-2-222-2-2-100001-1-111-112-2-112-2-113−33−33−33−32-22-200000000-1-111-1-1110000-11-113−33−33−33−300000000-11-1100003−33−33−33−300000000000000000000
χ542222-2-2-2-22-12-22-2-212212-1-21-2-1-11-222-2-222-2-2-100001-1-111-112-2-112-2-11−33−33−33−332-22-200000000-1-111-1-1110000-11-11−33−33−33−3300000000-11-110000−33−33−33−3300000000000000000000
χ552222-2-2-2-22-12-22-2-212212-1-21-2-1-11-2-2-222-2-222-100001-1-111-112-2-112-2-113−33−33−33−3-22-220000000011-1-111-1-10000-11-113−33−33−33−3000000001-11-10000−33−33−33−3300000000000000000000
χ562222-2-2-2-22-12-22-2-212212-1-21-2-1-11-2-2-222-2-222-100001-1-111-112-2-112-2-11−33−33−33−33-22-220000000011-1-111-1-10000-11-11−33−33−33−33000000001-11-100003−33−33−33−300000000000000000000
χ572222-2-2-2-22-1-22-22-212212-1-21-2-1-11-222-2-222-2-2-100001-1-111-11-221-1-221-13−33−3−33−33-22-2200000000-1-111-1-11100001-11-13−33−3−33−33000000001-11-100003−33−3−33−3300000000000000000000
χ582222-2-2-2-22-1-22-22-212212-1-21-2-1-11-222-2-222-2-2-100001-1-111-11-221-1-221-1−33−333−33−3-22-2200000000-1-111-1-11100001-11-1−33−333−33−3000000001-11-10000−33−333−33−300000000000000000000
χ592222-2-2-2-22-1-22-22-212212-1-21-2-1-11-2-2-222-2-222-100001-1-111-11-221-1-221-13−33−3−33−332-22-20000000011-1-111-1-100001-11-13−33−3−33−3300000000-11-110000−33−333−33−300000000000000000000
χ602222-2-2-2-22-1-22-22-212212-1-21-2-1-11-2-2-222-2-222-100001-1-111-11-221-1-221-1−33−333−33−32-22-20000000011-1-111-1-100001-11-1−33−333−33−300000000-11-1100003−33−3−33−3300000000000000000000
χ6122-2-222-2-2222-2-22-2-2-2-2222-2-22-2-2222i2i−2i−2i−2i−2i2i2i20000-2-2-2222-22-22-2-22-22000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i00002-2-2200000000000000002i−2i−2i2i00000000000000000000000000000000
χ6222-2-222-2-2222-2-22-2-2-2-2222-2-22-2-222−2i−2i2i2i2i2i−2i−2i20000-2-2-2222-22-22-2-22-2200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i00002-2-220000000000000000−2i2i2i−2i00000000000000000000000000000000
χ6322-2-222-2-222-222-2-2-2-2-2222-2-22-2-2222i2i−2i−2i−2i−2i2i2i20000-2-2-2222-2-22-222-22-200000000−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i0000-222-20000000000000000−2i2i2i−2i00000000000000000000000000000000
χ6422-2-222-2-222-222-2-2-2-2-2222-2-22-2-222−2i−2i2i2i2i2i−2i−2i20000-2-2-2222-2-22-222-22-2000000002i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i0000-222-200000000000000002i−2i−2i2i00000000000000000000000000000000
χ6522-2-222-2-22-12-2-22-21-2-2-12-1-21211-122i2i−2i−2i−2i−2i2i2i-10000111-1-1-112-2-11-221-13−3−333−3−332i−2i−2i2i00000000−i−iiiii−i−i0000-111-13−3−333−3−3300000000−iii−i0000i3−i3−i3i3i3−i3−i3i300000000000000000000
χ6622-2-222-2-22-12-2-22-21-2-2-12-1-21211-122i2i−2i−2i−2i−2i2i2i-10000111-1-1-112-2-11-221-1−333−3−333−32i−2i−2i2i00000000−i−iiiii−i−i0000-111-1−333−3−333−300000000−iii−i0000−i3i3i3−i3−i3i3i3−i300000000000000000000
χ6722-2-222-2-22-12-2-22-21-2-2-12-1-21211-12−2i−2i2i2i2i2i−2i−2i-10000111-1-1-112-2-11-221-13−3−333−3−33−2i2i2i−2i00000000ii−i−i−i−iii0000-111-13−3−333−3−3300000000i−i−ii0000−i3i3i3−i3−i3i3i3−i300000000000000000000
χ6822-2-222-2-22-12-2-22-21-2-2-12-1-21211-12−2i−2i2i2i2i2i−2i−2i-10000111-1-1-112-2-11-221-1−333−3−333−3−2i2i2i−2i00000000ii−i−i−i−iii0000-111-1−333−3−333−300000000i−i−ii0000i3−i3−i3i3i3−i3−i3i300000000000000000000
χ6922-2-222-2-22-1-222-2-21-2-2-12-1-21211-122i2i−2i−2i−2i−2i2i2i-10000111-1-1-11-221-12-2-113−3−33−333−3−2i2i2i−2i00000000−i−iiiii−i−i00001-1-113−3−33−333−300000000i−i−ii0000i3−i3−i3i3−i3i3i3−i300000000000000000000
χ7022-2-222-2-22-1-222-2-21-2-2-12-1-21211-122i2i−2i−2i−2i−2i2i2i-10000111-1-1-11-221-12-2-11−333−33−3−33−2i2i2i−2i00000000−i−iiiii−i−i00001-1-11−333−33−3−3300000000i−i−ii0000−i3i3i3−i3i3−i3−i3i300000000000000000000
χ7122-2-222-2-22-1-222-2-21-2-2-12-1-21211-12−2i−2i2i2i2i2i−2i−2i-10000111-1-1-11-221-12-2-113−3−33−333−32i−2i−2i2i00000000ii−i−i−i−iii00001-1-113−3−33−333−300000000−iii−i0000−i3i3i3−i3i3−i3−i3i300000000000000000000
χ7222-2-222-2-22-1-222-2-21-2-2-12-1-21211-12−2i−2i2i2i2i2i−2i−2i-10000111-1-1-11-221-12-2-11−333−33−3−332i−2i−2i2i00000000ii−i−i−i−iii00001-1-11−333−33−3−3300000000−iii−i0000i3−i3−i3i3−i3i3i3−i300000000000000000000
χ7322-2-2-2-2222-122-2-22-1-2-212-12-1-2111-22i2i2i2i−2i−2i−2i−2i-12-22-2-11111-1-122-1-1-2-211-1-111-1-1112i2i−2i−2i00000000−i−i−i−iiiii2-22-2-1-111-1-111-1-1112i−2i2i−2i0000−i−iii0000−i−iii−i−iii00000000000000000000
χ7422-2-2-2-2222-122-2-22-1-2-212-12-1-2111-22i2i2i2i−2i−2i−2i−2i-1-22-22-11111-1-122-1-1-2-21111-1-111-1-12i2i−2i−2i00000000−i−i−i−iiiii-22-22-1-11111-1-111-1-1−2i2i−2i2i0000−i−iii0000ii−i−iii−i−i00000000000000000000
χ7522-2-2-2-2222-122-2-22-1-2-212-12-1-2111-2−2i−2i−2i−2i2i2i2i2i-12-22-2-11111-1-122-1-1-2-211-1-111-1-111−2i−2i2i2i00000000iiii−i−i−i−i2-22-2-1-111-1-111-1-111−2i2i−2i2i0000ii−i−i0000ii−i−iii−i−i00000000000000000000
χ7622-2-2-2-2222-122-2-22-1-2-212-12-1-2111-2−2i−2i−2i−2i2i2i2i2i-1-22-22-11111-1-122-1-1-2-21111-1-111-1-1−2i−2i2i2i00000000iiii−i−i−i−i-22-22-1-11111-1-111-1-12i−2i2i−2i0000ii−i−i0000−i−iii−i−iii00000000000000000000
χ7722-2-2-2-2222-1-2-2222-1-2-212-12-1-2111-22i2i2i2i−2i−2i−2i−2i-12-2-22-11111-1-1-2-21122-1-1-1-11111-1-1−2i−2i2i2i00000000−i−i−i−iiiii2-2-2211-1-1-1-11111-1-12i−2i−2i2i0000ii−i−i0000−i−iiiii−i−i00000000000000000000
χ7822-2-2-2-2222-1-2-2222-1-2-212-12-1-2111-22i2i2i2i−2i−2i−2i−2i-1-222-2-11111-1-1-2-21122-1-111-1-1-1-111−2i−2i2i2i00000000−i−i−i−iiiii-222-211-1-111-1-1-1-111−2i2i2i−2i0000ii−i−i0000ii−i−i−i−iii00000000000000000000
χ7922-2-2-2-2222-1-2-2222-1-2-212-12-1-2111-2−2i−2i−2i−2i2i2i2i2i-12-2-22-11111-1-1-2-21122-1-1-1-11111-1-12i2i−2i−2i00000000iiii−i−i−i−i2-2-2211-1-1-1-11111-1-1−2i2i2i−2i0000−i−iii0000ii−i−i−i−iii00000000000000000000
χ8022-2-2-2-2222-1-2-2222-1-2-212-12-1-2111-2−2i−2i−2i−2i2i2i2i2i-1-222-2-11111-1-1-2-21122-1-111-1-1-1-1112i2i−2i−2i00000000iiii−i−i−i−i-222-211-1-111-1-1-1-1112i−2i−2i2i0000−i−iii0000−i−iiiii−i−i00000000000000000000
χ8122-2-2-2-222-1222-2-2-1211-2-12-121-2-2-2100000000-12-22-2-11111-1-1-1-12211-2-222-2-222-2-200002i2i−2i−2i2i2i−2i−2i00000000-11-11-1-111-1-111-1-11100002i−2i2i−2i0000−i−iii00000000−i−iii00000000−ii−ii0000
χ8222-2-2-2-222-1222-2-2-1211-2-12-121-2-2-2100000000-12-22-2-11111-1-1-1-12211-2-222-2-222-2-20000−2i−2i2i2i−2i−2i2i2i00000000-11-11-1-111-1-111-1-1110000−2i2i−2i2i0000ii−i−i00000000ii−i−i00000000i−ii−i0000
χ8322-2-2-2-222-1222-2-2-1211-2-12-121-2-2-2100000000-1-22-22-11111-1-1-1-12211-2-2-2-222-2-22200002i2i−2i−2i2i2i−2i−2i000000001-11-1-1-11111-1-111-1-10000−2i2i−2i2i0000−i−iii00000000−i−iii00000000i−ii−i0000
χ8422-2-2-2-222-1222-2-2-1211-2-12-121-2-2-2100000000-1-22-22-11111-1-1-1-12211-2-2-2-222-2-2220000−2i−2i2i2i−2i−2i2i2i000000001-11-1-1-11111-1-111-1-100002i−2i2i−2i0000ii−i−i00000000ii−i−i00000000−ii−ii0000
χ8522-2-2-2-222-12-2-222-1211-2-12-121-2-2-2100000000-12-2-22-11111-1-111-2-2-1-12222-2-2-2-22200002i2i−2i−2i−2i−2i2i2i00000000-111-111-1-1-1-11111-1-100002i−2i−2i2i0000−i−iii00000000ii−i−i00000000−iii−i0000
χ8622-2-2-2-222-12-2-222-1211-2-12-121-2-2-2100000000-12-2-22-11111-1-111-2-2-1-12222-2-2-2-2220000−2i−2i2i2i2i2i−2i−2i00000000-111-111-1-1-1-11111-1-10000−2i2i2i−2i0000ii−i−i00000000−i−iii00000000i−i−ii0000
χ8722-2-2-2-222-12-2-222-1211-2-12-121-2-2-2100000000-1-222-2-11111-1-111-2-2-1-122-2-22222-2-200002i2i−2i−2i−2i−2i2i2i000000001-1-1111-1-111-1-1-1-1110000−2i2i2i−2i0000−i−iii00000000ii−i−i00000000i−i−ii0000
χ8822-2-2-2-222-12-2-222-1211-2-12-121-2-2-2100000000-1-222-2-11111-1-111-2-2-1-122-2-22222-2-20000−2i−2i2i2i2i2i−2i−2i000000001-1-1111-1-111-1-1-1-11100002i−2i−2i2i0000ii−i−i00000000−i−iii00000000−iii−i0000
χ892-22-22-22-2220000-2-22-22-2-222-22-2-222i−2i2i−2i2i−2i2i−2i20000-22-22-2-220000000000000000000000002-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002-22-200002i−2i2i−2i00000000
χ902-22-22-22-2220000-2-22-22-2-222-22-2-222i−2i2i−2i2i−2i2i−2i20000-22-22-2-22000000000000000000000000-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000-22-220000−2i2i−2i2i00000000
χ912-22-22-22-2220000-2-22-22-2-222-22-2-22−2i2i−2i2i−2i2i−2i2i20000-22-22-2-220000000000000000000000002-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000002-22-20000−2i2i−2i2i00000000
χ922-22-22-22-2220000-2-22-22-2-222-22-2-22−2i2i−2i2i−2i2i−2i2i20000-22-22-2-22000000000000000000000000-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000-22-2200002i−2i2i−2i00000000
χ932-22-2-22-22220000222-2-2-2-2-2-222-22-22i−2i−2i2i2i−2i−2i2i2000022-2-22-2-2000000000000000000002-22-200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000002-22-20000000000002i−2i2i−2i000000000000
χ942-22-2-22-22220000222-2-2-2-2-2-222-22-22i−2i−2i2i2i−2i−2i2i2000022-2-22-2-200000000000000000000-22-2200002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000-22-22000000000000−2i2i−2i2i000000000000
χ952-22-2-22-22220000222-2-2-2-2-2-222-22-2−2i2i2i−2i−2i2i2i−2i2000022-2-22-2-2000000000000000000002-22-20000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000002-22-2000000000000−2i2i−2i2i000000000000
χ962-22-2-22-22220000222-2-2-2-2-2-222-22-2−2i2i2i−2i−2i2i2i−2i2000022-2-22-2-200000000000000000000-22-220000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000-22-220000000000002i−2i2i−2i000000000000
χ972-2-222-2-2222000022-222-2-2-2-2-2-22-222-2-22-222-2200002-222-2-2-2000000000000000000002i−2i−2i2i00002-2-22-222-200000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i000000000000
χ982-2-222-2-2222000022-222-2-2-2-2-2-22-222-2-22-222-2200002-222-2-2-200000000000000000000−2i2i2i−2i00002-2-22-222-20000000000000000000000000000−2i2i2i−2i0000000000002i−2i−2i2i000000000000
χ992-2-222-2-2222000022-222-2-2-2-2-2-22-22-222-22-2-22200002-222-2-2-2000000000000000000002i−2i−2i2i0000-222-22-2-2200000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ1002-2-222-2-2222000022-222-2-2-2-2-2-22-22-222-22-2-22200002-222-2-2-200000000000000000000−2i2i2i−2i0000-222-22-2-220000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ1012-2-22-222-2220000-2-2-22-2-2-2222-222-22-22-2-22-2220000-2-22-22-220000000000000000000000002i−2i−2i2i2-22-2-22-2200000000000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000
χ1022-2-22-222-2220000-2-2-22-2-2-2222-222-22-22-2-22-2220000-2-22-22-22000000000000000000000000−2i2i2i−2i2-22-2-22-220000000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000
χ1032-2-22-222-2220000-2-2-22-2-2-2222-222-2-22-222-22-220000-2-22-22-220000000000000000000000002i−2i−2i2i-22-222-22-200000000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000
χ1042-2-22-222-2220000-2-2-22-2-2-2222-222-2-22-222-22-220000-2-22-22-22000000000000000000000000−2i2i2i−2i-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000
χ10544444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-211111111111100000000000000000000000000000000000000000000
χ10644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-4-4-41111111-2-2-2-2-2-2-2-2222222220000000000000000000022221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ10744444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4111111122222222-2-2-2-2222200000000000000000000-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ10844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-4441111111222222222222-2-2-2-20000000000000000000022-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ1094444-4-4-4-4-244-44-42-4-2-2-4-242-4244-4200000000-200002-2-222-22-224-4-224-400000000000000000000000000000000-22-220000000000000000000000000000000000000000000000000000
χ1104444-4-4-4-4-24-44-442-4-2-2-4-242-4244-4200000000-200002-2-222-222-2-442-2-44000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000
χ1114444-4-4-4-4-2-24-44-422-2-22-2-2222-2-2220000000010000-111-1-11-1-22-22-22-2223−2323−2323−2323−230000000000000000000000001-11-1−33−33−33−3300000000000000000000000000000000000000000000
χ1124444-4-4-4-4-2-24-44-422-2-22-2-2222-2-2220000000010000-111-1-11-1-22-22-22-22−2323−2323−2323−23230000000000000000000000001-11-13−33−33−33−300000000000000000000000000000000000000000000
χ1134444-4-4-4-4-2-2-44-4422-2-22-2-2222-2-2220000000010000-111-1-11-12-22-22-22-223−2323−23−2323−2323000000000000000000000000-11-11−33−333−33−300000000000000000000000000000000000000000000
χ1144444-4-4-4-4-2-2-44-4422-2-22-2-2222-2-2220000000010000-111-1-11-12-22-22-22-2−2323−232323−2323−23000000000000000000000000-11-113−33−3−33−3300000000000000000000000000000000000000000000
χ11544-4-444-4-4-244-4-442-4224-242-4-2-4-44-200000000-20000222-2-2-22-224-42-2-4400000000000000000000000000000000-222-20000000000000000000000000000000000000000000000000000
χ11644-4-444-4-4-24-444-42-4224-242-4-2-4-44-200000000-20000222-2-2-222-2-44-224-4000000000000000000000000000000002-2-220000000000000000000000000000000000000000000000000000
χ11744-4-444-4-4-2-24-4-442222-2-2-222-222-2-20000000010000-1-1-1111-1-22-222-22-223−23−232323−23−23230000000000000000000000001-1-11−333−3−333−300000000000000000000000000000000000000000000
χ11844-4-444-4-4-2-24-4-442222-2-2-222-222-2-20000000010000-1-1-1111-1-22-222-22-2−232323−23−232323−230000000000000000000000001-1-113−3−333−3−3300000000000000000000000000000000000000000000
χ11944-4-444-4-4-2-2-444-42222-2-2-222-222-2-20000000010000-1-1-1111-12-22-2-22-2223−23−2323−232323−23000000000000000000000000-111-1−333−33−3−3300000000000000000000000000000000000000000000
χ12044-4-444-4-4-2-2-444-42222-2-2-222-222-2-20000000010000-1-1-1111-12-22-2-22-22−232323−2323−23−2323000000000000000000000000-111-13−3−33−333−300000000000000000000000000000000000000000000
χ12144-4-4-4-444-2-244-4-4-2-2222-2-2-2-2222220000000014-44-41-1-1-1-111-2-2-2-22222-2-222-2-22200000000000000000000-22-2211-1-111-1-111-1-100000000000000000000000000000000000000000000
χ12244-4-4-4-444-2-244-4-4-2-2222-2-2-2-222222000000001-44-441-1-1-1-111-2-2-2-2222222-2-222-2-2000000000000000000002-22-211-1-1-1-111-1-11100000000000000000000000000000000000000000000
χ12344-4-4-4-444-2-2-4-444-2-2222-2-2-2-2222220000000014-4-441-1-1-1-1112222-2-2-2-2-2-22222-2-200000000000000000000-222-2-1-11111-1-1-1-11100000000000000000000000000000000000000000000
χ12444-4-4-4-444-2-2-4-444-2-2222-2-2-2-222222000000001-444-41-1-1-1-1112222-2-2-2-222-2-2-2-222000000000000000000002-2-22-1-111-1-11111-1-100000000000000000000000000000000000000000000
χ1254-44-44-44-44-20000-424-4-2-424-2-4-22244i−4i4i−4i4i−4i4i−4i-200002-22-222-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1264-44-44-44-44-20000-424-4-2-424-2-4-2224−4i4i−4i4i−4i4i−4i4i-200002-22-222-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1274-44-44-44-4-2400002-4-2242-4-2424-4-4-200000000-200002-22-222-20000000000000000000000004-44-4000000000000000000000000000000000000000000000000-22-220000000000000000
χ1284-44-44-44-4-2400002-4-2242-4-2424-4-4-200000000-200002-22-222-2000000000000000000000000-44-440000000000000000000000000000000000000000000000002-22-20000000000000000
χ1294-44-4-44-444-200004-24-42-42-424-22-2-44i−4i−4i4i4i−4i−4i4i-20000-2-222-2220000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1304-44-4-44-444-200004-24-42-42-424-22-2-4−4i4i4i−4i−4i4i4i−4i-20000-2-222-22200000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1314-44-4-44-44-240000-24-22-42-42-4-24-44200000000-20000-2-222-222000000000000000000004-44-40000000000000000000000000000000000000000-22-220000000000000000000000000000
χ1324-44-4-44-44-240000-24-22-42-42-4-24-44200000000-20000-2-222-22200000000000000000000-44-4400000000000000000000000000000000000000002-22-20000000000000000000000000000
χ1334-4-444-4-444-200004-2-44-2-42-42-42-2244-4-44-444-4-20000-22-2-22220000000000000000000000000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1344-4-444-4-444-200004-2-44-2-42-42-42-224-444-44-4-44-20000-22-2-222200000000000000000000000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1354-4-444-4-44-240000-242-242-42-42-44-4-200000000-20000-22-2-2222000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ1364-4-444-4-44-240000-242-242-42-42-44-4-200000000-20000-22-2-222200000000000000000000−4i4i4i−4i00000000000000000000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ1374-4-44-444-44-20000-42-442-424-242-2-2-44-44-4-44-44-2000022-22-22-20000000000000000000000000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-444-44-20000-42-442-424-242-2-2-4-44-444-44-4-2000022-22-22-200000000000000000000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1394-4-44-444-4-2400002-42-2-42-4-24-2-444200000000-2000022-22-22-20000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000−2i2i2i−2i0000000000000000
χ1404-4-44-444-4-2400002-42-2-42-4-24-2-444200000000-2000022-22-22-2000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000002i−2i−2i2i0000000000000000
χ1418-88-88-88-8-4-4000044-44-444-4-44-444-40000000020000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-40000-4-4-4444444-4-44-44000000002000022-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-40000-4-44-4-4444444-44-400000000200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-888-8-4-40000444-4444-4-4-44-4-440000000020000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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