Finite Group Databasebeta

← Group #13178724

Character table — Group #13178724

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888999999999999181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order122233344444466666666633333666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444444444222222444444444444121212121212121212121212666666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111
χ7111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ8111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ91111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111
χ111111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ121111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ131111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ151111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ161111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ1711-1-11111-11-11-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111-1-1ii−i−iii−i−i1-11-11-1i−ii−ii−ii−ii−ii−iii−i−iii−i−i11-1-11-11-11-1i−ii−ii−ii−ii−ii−i
χ1811-1-11111-11-11-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111-1-1−i−iii−i−iii1-11-11-1−ii−ii−ii−ii−ii−ii−i−iii−i−iii11-1-11-11-11-1−ii−ii−ii−ii−ii−ii
χ1911-1-11111-11-11-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-111ii−i−i−i−iii-11-11-11i−ii−ii−i−ii−ii−iiii−i−i−i−iii-1-111-11-11-11i−ii−ii−i−ii−ii−ii
χ2011-1-11111-11-11-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-111−i−iiiii−i−i-11-11-11−ii−ii−iii−ii−ii−i−i−iiiii−i−i-1-111-11-11-11−ii−ii−iii−ii−ii−i
χ2111-1-11111-1-11-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111-1-1ii−i−iii−i−i1-1-11-11i−i−ii−iii−i−ii−iiii−i−iii−i−i11-1-11-1-11-11i−i−ii−iii−i−ii−ii
χ2211-1-11111-1-11-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111-1-1−i−iii−i−iii1-1-11-11−iii−ii−i−iii−ii−i−i−iii−i−iii11-1-11-1-11-11−iii−ii−i−iii−ii−i
χ2311-1-11111-1-11-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-111ii−i−i−i−iii-111-11-1i−i−ii−ii−iii−ii−iii−i−i−i−iii-1-111-111-11-1i−i−ii−ii−iii−ii−i
χ2411-1-11111-1-11-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-111−i−iiiii−i−i-111-11-1−iii−ii−ii−i−ii−ii−i−iiiii−i−i-1-111-111-11-1−iii−ii−ii−i−ii−ii
χ2511-1-1111-111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1ii−i−iii−i−i-111-1-11−iii−i−ii−iii−i−iiii−i−iii−i−i11-1-1-111-1-11−iii−i−ii−iii−i−ii
χ2611-1-1111-111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1−i−iii−i−iii-111-1-11i−i−iii−ii−i−iii−i−i−iii−i−iii11-1-1-111-1-11i−i−iii−ii−i−iii−i
χ2711-1-1111-111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111ii−i−i−i−iii1-1-111-1−iii−i−iii−i−iii−iii−i−i−i−iii-1-1111-1-111-1−iii−i−iii−i−iii−i
χ2811-1-1111-111-1-11-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111−i−iiiii−i−i1-1-111-1i−i−iii−i−iii−i−ii−i−iiiii−i−i-1-1111-1-111-1i−i−iii−i−iii−i−ii
χ2911-1-1111-11-111-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-111-1-1ii−i−iii−i−i-11-111-1−ii−iii−i−ii−iii−iii−i−iii−i−i11-1-1-11-111-1−ii−iii−i−ii−iii−i
χ3011-1-1111-11-111-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-111-1-1−i−iii−i−iii-11-111-1i−ii−i−iii−ii−i−ii−i−iii−i−iii11-1-1-11-111-1i−ii−i−iii−ii−i−ii
χ3111-1-1111-11-111-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-111ii−i−i−i−iii1-11-1-11−ii−iii−ii−ii−i−iiii−i−i−i−iii-1-1111-11-1-11−ii−iii−ii−ii−i−ii
χ3211-1-1111-11-111-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-111−i−iiiii−i−i1-11-1-11i−ii−i−ii−ii−iii−i−i−iiiii−i−i-1-1111-11-1-11i−ii−i−ii−ii−iii−i
χ33222222-1222222-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1222222222222-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-122220000000022222200000000000000000000-1-1-1-1-1-1-1-1-1-1000000000000
χ34222222-1222222-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1222222222222-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2000000000000000000001111111111000000000000
χ35222222-122-2-2-2-2-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-2-2-2-2-2-2-2-2-1-111112-1-1-1-12-1-1-1-1-21111-21111-21111-2111122220000000022-2-2-2-200000000000000000000-1-1-1-1-1-11111000000000000
χ36222222-122-2-2-2-2-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-2-2-2-2-2-2-2-2-1-111112-1-1-1-12-1-1-1-1-21111-21111-21111-21111-2-2-2-200000000-2-2222200000000000000000000111111-1-1-1-1000000000000
χ37222222-1-2-222-2-2-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22222-2-2-2-211-1-111-21111-211112-1-1-1-12-1-1-1-1-21111-21111222200000000-2-222-2-200000000000000000000-1-1-1-111-1-111000000000000
χ38222222-1-2-222-2-2-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22222-2-2-2-211-1-111-21111-211112-1-1-1-12-1-1-1-1-21111-21111-2-2-2-20000000022-2-222000000000000000000001111-1-111-1-1000000000000
χ39222222-1-2-2-2-222-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-21111-21111-21111-211112-1-1-1-12-1-1-1-1222200000000-2-2-2-22200000000000000000000-1-1-1-11111-1-1000000000000
χ40222222-1-2-2-2-222-1-12222-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-21111-21111-21111-211112-1-1-1-12-1-1-1-1-2-2-2-2000000002222-2-2000000000000000000001111-1-1-1-111000000000000
χ4122222-12222222222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-12-12-12-12-1222222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10000000022220000000000002222220000-1-1-1-10000000000000000-1-1-1-1-1-1
χ4222222-12222222222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-12-12-12-12-1222222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000000-2-2-2-2000000000000-2-2-2-2-2-2000011110000000000000000111111
χ4322222-1222-2-2-2-2222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-1-21-21-21-2122-2-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-211100000000222200000000000022-2-2-2-20000-1-1-1-10000000000000000-1-11111
χ4422222-1222-2-2-2-2222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-1-21-21-21-2122-2-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-211100000000-2-2-2-2000000000000-2-2222200001111000000000000000011-1-1-1-1
χ4522222-12-2-222-2-2222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-212-12-1-21-21-2-222-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-2111000000002222000000000000-2-222-2-20000-1-1-1-1000000000000000011-1-111
χ4622222-12-2-222-2-2222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-212-12-1-21-21-2-222-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-211100000000-2-2-2-200000000000022-2-222000011110000000000000000-1-111-1-1
χ4722222-12-2-2-2-222222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-21-21-212-12-1-2-2-2-2221-21111-21111-21111-2111-12-1-1-1-12-1-1-1000000002222000000000000-2-2-2-2220000-1-1-1-100000000000000001111-1-1
χ4822222-12-2-2-2-222222-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-21-21-212-12-1-2-2-2-2221-21111-21111-21111-2111-12-1-1-1-12-1-1-100000000-2-2-2-20000000000002222-2-2000011110000000000000000-1-1-1-111
χ492222-12222222222-12-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-12-12-12-12-12222222-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1000022220000000000222222000000-1-1-1-100000000000000-1-1-1-1-1-1000000
χ502222-12222222222-12-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-12-12-12-12-12222222-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-10000-2-2-2-20000000000-2-2-2-2-2-2000000111100000000000000111111000000
χ512222-12222-2-2-2-222-12-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-121-21-21-21-222-2-2-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-21100002222000000000022-2-2-2-2000000-1-1-1-100000000000000-1-11111000000
χ522222-12222-2-2-2-222-12-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-121-21-21-21-222-2-2-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-2110000-2-2-2-20000000000-2-2222200000011110000000000000011-1-1-1-1000000
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χ11644-4-4-24-2-44-444-422-242-4-22-4-21-21122-1-122-1-1-1-1-21-2112-4-242-4-24-242-42-22-2-222-12-1-1-21-2112-12-1-1-21-211-21-2112-12-1-1000000000000000000000000000000000000000000000000000000000000
χ11744-4-4-2-244-44-44-4-4-4-2-2224221-2-211-1-12222-1-1-1-11-2-211-2-222-2-222-2-2224-44-44-41-2-211-122-1-11-2-211-122-1-11-2-211-122-1-1000000000000000000000000000000000000000000000000000000000000
χ11844-4-4-2-244-4-44-44-4-4-2-2224221-2-211-1-12222-1-1-1-11-2-211-2-22222-2-222-2-24-4-44-441-2-211-122-1-1-122-1-11-2-211-122-1-11-2-211000000000000000000000000000000000000000000000000000000000000
χ11944-4-4-2-24-444-4-44-4-4-2-2224221-2-211-1-12222-1-1-1-11-2-21122-2-2-2-22222-2-2-444-4-44-122-1-11-2-2111-2-211-122-1-1-122-1-11-2-211000000000000000000000000000000000000000000000000000000000000
χ12044-4-4-2-24-44-444-4-4-4-2-2224221-2-211-1-12222-1-1-1-11-2-21122-2-222-2-2-2-222-44-444-4-122-1-11-2-211-122-1-11-2-2111-2-211-122-1-1000000000000000000000000000000000000000000000000000000000000
χ12144-4-4-2-2-24-44-44-422-2-222-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-222-2-222-2-222-22-22-22111−1−3i32−1+3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000000000000000000000
χ12244-4-4-2-2-24-44-44-422-2-222-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-222-2-222-2-222-22-22-22111−1+3i32−1−3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000000000000000000000000
χ12344-4-4-2-2-24-4-44-4422-2-222-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22222-2-222-2-2-222-22-2111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000000000000000000000000000
χ12444-4-4-2-2-24-4-44-4422-2-222-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22222-2-222-2-2-222-22-2111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000000000000000000000000000
χ12544-4-4-2-2-2-444-4-4422-2-222-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-2-22222-2-22-2-222-2-1-1-11+3i321−3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000000000000000000000000000
χ12644-4-4-2-2-2-444-4-4422-2-222-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-2-22222-2-22-2-222-2-1-1-11−3i321+3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000000000000000000000000000
χ12744-4-4-2-2-2-44-444-422-2-222-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-222-2-2-2-2222-22-2-22-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000000000000000000000
χ12844-4-4-2-2-2-44-444-422-2-222-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-222-2-2-2-2222-22-2-22-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000000000000000000000000
χ1294-44-444-2000000-22-4-44-42-444-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000−2i2i−2i2i000000000000000000
χ1304-44-444-2000000-22-4-44-42-444-2-2-2-24-4-22-22-2-222-42222000000000000000000000000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000002i−2i2i−2i000000000000000000
χ1314-44-44-240000004-4-4242-4-4-2-24-2-2-2-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000−2i2i−2i2i0000000000000000000000
χ1324-44-44-240000004-4-4242-4-4-2-24-2-2-2-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000000000−4i4i−4i4i00000000000000000000002i−2i2i−2i0000000000000000000000
χ1334-44-4-2440000004-42-4-2-4-424-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000004-44-40000000000000000000000-22-2200000000000000000000000000
χ1344-44-4-2440000004-42-4-2-4-424-2-24-2-2-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000000-44-4400000000000000000000002-22-200000000000000000000000000
χ1354-4-4444-20000002-2-4-4-4424-44-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000−2i2i2i−2i000000000000000000
χ1364-4-4444-20000002-2-4-4-4424-44-2-2-2-2-442-22-222-2-2-42222000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000002i−2i−2i2i000000000000000000
χ1374-4-444-24000000-44-42-4-2-442-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000004-4-440000000000000000000000-222-20000000000000000000000
χ1384-4-444-24000000-44-42-4-2-442-24-2-2-22-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000-444-400000000000000000000002-2-220000000000000000000000
χ1394-4-44-244000000-442-424-4-2-4-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1404-4-44-244000000-442-424-4-2-4-2-24-2-22-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000002i−2i−2i2i00000000000000000000000000
χ1418-88-88-4-4000000-44-84844-8-4-4-4222-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-48-4000000-444-8-4-8448-42-422-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8-4-480000008-844-44-84-42-4-4222-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-4-4-4000000-4444-4444-4222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-8-4-4-4000000-4444-4444-4222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-888-4-40000004-4-84-8-4484-4-42224-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8-88-48-40000004-44-8484-4-8-42-4224-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-88-4-48000000-88444-4-8-442-4-422-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-4-4-40000004-4444-44-44222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-4-4-40000004-4444-44-44222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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