Finite Group Databasebeta

← Group #11771548

Character table — Group #11771548

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444488888888888888888888888888888888888836363636363636363636363636363636
order12224444333366666666666688888888121212121212121212121212121212124412121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424666666668812121212121212122424242424242424242424242424242416161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-11111111111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ101111-1-1-1-11111111111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ111111-1-1-1-11111111111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-1-1-1−ii11111111−i−i−i−i−i−i−i−iiiiiiiiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ121111-1-1-1-11111111111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-1-1-1−ii11111111−i−i−i−i−i−i−i−iiiiiiiii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ131111-1-1-1-11111111111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ141111-1-1-1-11111111111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ151111-1-1-1-11111111111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-1-1-1i−i11111111iiiiiiii−i−i−i−i−i−i−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ161111-1-1-1-11111111111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-1-1-1i−i11111111iiiiiiii−i−i−i−i−i−i−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1722222222222222222222222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000000000000000
χ18222222222222222222222222-2-22222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ19222222222-1-1-122-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ20222222222-1-1-122-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2-2-2111111-2-2111111-2-21111110000000000000000
χ21222222222-1-1-122-1-1-1-1-1-12-1-1-122-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000−i3−i3−i3i3i3i30000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000
χ22222222222-1-1-122-1-1-1-1-1-12-1-1-122-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000i3i3i3−i3−i3−i30000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000000000
χ23222222222-1-1-122-1-1-1-1-1-12-1-1-1-2-22222-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i30000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000000000
χ24222222222-1-1-122-1-1-1-1-1-12-1-1-1-2-22222-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i30000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000
χ25222222222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2111111-2-21111110000000000000000
χ26222222222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-2-2-211111122-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ2722222222-12-1-1-1-122-1-1-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-10000000000000000
χ2822222222-12-1-1-1-122-1-1-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-211-2-211-211-21111-211-21111-211-2110000000000000000
χ2922222222-12-1-1-1-122-1-1-1-1-12-1-122-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100−i3i30−i3i30−i3i300−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000
χ3022222222-12-1-1-1-122-1-1-1-1-12-1-122-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100i3−i30i3−i30i3−i300i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000
χ3122222222-12-1-1-1-122-1-1-1-1-12-1-1-2-22222-2-2-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i300−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000
χ3222222222-12-1-1-1-122-1-1-1-1-12-1-1-2-22222-2-2-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i300i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000
χ3322222222-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111122-1-12-1-12-1-1-2-2-1-12-1-12-1-111-211-21111-211-2110000000000000000
χ3422222222-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-2-211-211-2112211-211-211-1-12-1-12-1-1-1-12-1-12-1-10000000000000000
χ3522222222-1-12-1-1-1-1-122-1-1-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ3622222222-1-12-1-1-1-1-122-1-1-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2-2-2111-2111-2111-2111-2111-2111-20000000000000000
χ3722222222-1-12-1-1-1-1-122-1-1-1-12-122-2-2-2-222-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-2111111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-100−i3i3i30−i3−i3i3000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000
χ3822222222-1-12-1-1-1-1-122-1-1-1-12-122-2-2-2-222-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-2111111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-100i3−i3−i30i3i3−i3000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000
χ3922222222-1-12-1-1-1-1-122-1-1-1-12-1-2-22222-2-2-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21100−i3i3i30−i3−i3i3000−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000
χ4022222222-1-12-1-1-1-1-122-1-1-1-12-1-2-22222-2-2-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21100i3−i3−i30i3i3−i3000i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000
χ4122222222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-21122-1-1-12-1-1-12-2-2-1-1-12-1-1-12111-2111-2111-2111-20000000000000000
χ4222222222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211-2-2111-2111-222111-2111-2-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ4322222222-1-1-12-1-1-1-1-1-122-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-122-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-10000000000000000
χ4422222222-1-1-12-1-1-1-1-1-122-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-21-2-21111-21-211111-21-211111-21-210000000000000000
χ4522222222-1-1-12-1-1-1-1-1-122-1-1-1222-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12200−i3i3−i3i30i30−i300−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000
χ4622222222-1-1-12-1-1-1-1-1-122-1-1-1222-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12200i3−i3i3−i30−i30i300i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000000000
χ4722222222-1-1-12-1-1-1-1-1-122-1-1-12-2-22222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200−i3i3−i3i30i30−i300−i3i3−i3i30i30−i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000000000
χ4822222222-1-1-12-1-1-1-1-1-122-1-1-12-2-22222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-200i3−i3i3−i30−i30i300i3−i3i3−i30−i30i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000
χ4922222222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-222-1-1-1-12-12-1-2-2-1-1-1-12-12-11111-21-211111-21-210000000000000000
χ5022222222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2-2-21111-21-21221111-21-21-1-1-1-12-12-1-1-1-1-12-12-10000000000000000
χ512222-2-2-2-222222222222222222i−2i−2i−2i2i2i2i−2i-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000
χ522222-2-2-2-22222222222222222−2i2i2i2i−2i−2i−2i2i-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000000000000000000000000000000000000000
χ532222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12i−2i2i2i−2i−2i2i−2i-2-2111111-2-21111112-222-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2-222-1-1-1-1-1-12i−2i-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000
χ542222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12i−2i2i2i−2i−2i2i−2i-2-2111111-2-21111112-222-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii-22-2-2111111−2i2i22-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000
χ552222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12i−2i−2i−2i2i2i2i−2i-2-2111111-2-2111111-22-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii0000−i3−i3−i3i3i3i30000i3i3i3−i3−i3−i300333−3−3−300−3−3−33330000000000000000
χ562222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12i−2i−2i−2i2i2i2i−2i-2-2111111-2-2111111-22-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii0000i3i3i3−i3−i3−i30000−i3−i3−i3i3i3i300−3−3−333300333−3−3−30000000000000000
χ572222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1−2i2i2i2i−2i−2i−2i2i-2-2111111-2-2111111-22-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−i3−i3−i3i3i3i30000i3i3i3−i3−i3−i300−3−3−333300333−3−3−30000000000000000
χ582222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1−2i2i2i2i−2i−2i−2i2i-2-2111111-2-2111111-22-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i0000i3i3i3−i3−i3−i30000−i3−i3−i3i3i3i300333−3−3−300−3−3−33330000000000000000
χ592222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1−2i2i−2i−2i2i2i−2i2i-2-2111111-2-21111112-222-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2-222-1-1-1-1-1-1−2i2i-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000
χ602222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1−2i2i−2i−2i2i2i−2i2i-2-2111111-2-21111112-222-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i-22-2-21111112i−2i22-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000
χ612222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12i−2i2i2i−2i−2i2i−2i11-2-2111111-2-211112-2-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii2-2-1-12-1-12-1-12i−2i11-211-211−i−i2i−i−i2i−i−iii−2iii−2iii0000000000000000
χ622222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12i−2i2i2i−2i−2i2i−2i11-2-2111111-2-211112-2-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii-2211-211-211−2i2i-1-12-1-12-1-1ii−2iii−2iii−i−i2i−i−i2i−i−i0000000000000000
χ632222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12i−2i−2i−2i2i2i2i−2i11-2-2111111-2-21111-2211-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii00−i3i30−i3i30−i3i300i3−i30i3−i30i3−i33−303−303−3−330−330−330000000000000000
χ642222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12i−2i−2i−2i2i2i2i−2i11-2-2111111-2-21111-2211-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii00i3−i30i3−i30i3−i300−i3i30−i3i30−i3i3−330−330−333−303−303−30000000000000000
χ652222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1−2i2i2i2i−2i−2i−2i2i11-2-2111111-2-21111-2211-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i00−i3i30−i3i30−i3i300i3−i30i3−i30i3−i3−330−330−333−303−303−30000000000000000
χ662222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1−2i2i2i2i−2i−2i−2i2i11-2-2111111-2-21111-2211-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i00i3−i30i3−i30i3−i300−i3i30−i3i30−i3i33−303−303−3−330−330−330000000000000000
χ672222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1−2i2i−2i−2i2i2i−2i2i11-2-2111111-2-211112-2-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i2-2-1-12-1-12-1-1−2i2i11-211-211ii−2iii−2iii−i−i2i−i−i2i−i−i0000000000000000
χ682222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1−2i2i−2i−2i2i2i−2i2i11-2-2111111-2-211112-2-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i-2211-211-2112i−2i-1-12-1-12-1-1−i−i2i−i−i2i−i−iii−2iii−2iii0000000000000000
χ692222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12i−2i2i2i−2i−2i2i−2i1111-2-2111111-2-2112-2-1-1-1-122-1-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii2-2-1-1-12-1-1-122i−2i111-2111-2−i−i−i2i−i−i−i2iiii−2iiii−2i0000000000000000
χ702222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12i−2i2i2i−2i−2i2i−2i1111-2-2111111-2-2112-2-1-1-1-122-1-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii-22111-2111-2−2i2i-1-1-12-1-1-12iii−2iiii−2i−i−i−i2i−i−i−i2i0000000000000000
χ712222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12i−2i−2i−2i2i2i2i−2i1111-2-2111111-2-211-221111-2-211-1-1-1-122-1-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii00−i3i3i30−i3−i3i3000i3−i3−i30i3i3−i303−3−3033−30−3330−3−3300000000000000000
χ722222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12i−2i−2i−2i2i2i2i−2i1111-2-2111111-2-211-221111-2-211-1-1-1-122-1-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii00i3−i3−i30i3i3−i3000−i3i3i30−i3−i3i30−3330−3−3303−3−3033−300000000000000000
χ732222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1−2i2i2i2i−2i−2i−2i2i1111-2-2111111-2-211-221111-2-211-1-1-1-122-1-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i00−i3i3i30−i3−i3i3000i3−i3−i30i3i3−i30−3330−3−3303−3−3033−300000000000000000
χ742222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1−2i2i2i2i−2i−2i−2i2i1111-2-2111111-2-211-221111-2-211-1-1-1-122-1-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i00i3−i3−i30i3i3−i3000−i3i3i30−i3−i3i303−3−3033−30−3330−3−3300000000000000000
χ752222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1−2i2i−2i−2i2i2i−2i2i1111-2-2111111-2-2112-2-1-1-1-122-1-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i2-2-1-1-12-1-1-12−2i2i111-2111-2iii−2iiii−2i−i−i−i2i−i−i−i2i0000000000000000
χ762222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1−2i2i−2i−2i2i2i−2i2i1111-2-2111111-2-2112-2-1-1-1-122-1-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i-22111-2111-22i−2i-1-1-12-1-1-12−i−i−i2i−i−i−i2iiii−2iiii−2i0000000000000000
χ772222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122i−2i2i2i−2i−2i2i−2i111111-2-2111111-2-22-2-1-1-1-1-1-122111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i2-2-1-1-1-12-12-12i−2i1111-21-21−i−i−i−i2i−i2i−iiiii−2ii−2ii0000000000000000
χ782222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122i−2i2i2i−2i−2i2i−2i111111-2-2111111-2-22-2-1-1-1-1-1-122111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i-221111-21-21−2i2i-1-1-1-12-12-1iiii−2ii−2ii−i−i−i−i2i−i2i−i0000000000000000
χ792222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122i−2i−2i−2i2i2i2i−2i111111-2-2111111-2-2-22111111-2-2-1-1-1-1-1-122iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i00−i3i3−i3i30i30−i300i3−i3i3−i30−i30i33−33−30−303−33−33030−30000000000000000
χ802222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122i−2i−2i−2i2i2i2i−2i111111-2-2111111-2-2-22111111-2-2-1-1-1-1-1-122iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i00i3−i3i3−i30−i30i300−i3i3−i3i30i30−i3−33−33030−33−33−30−3030000000000000000
χ812222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12−2i2i2i2i−2i−2i−2i2i111111-2-2111111-2-2-22111111-2-2-1-1-1-1-1-122−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i00−i3i3−i3i30i30−i300i3−i3i3−i30−i30i3−33−33030−33−33−30−3030000000000000000
χ822222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12−2i2i2i2i−2i−2i−2i2i111111-2-2111111-2-2-22111111-2-2-1-1-1-1-1-122−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i00i3−i3i3−i30−i30i300−i3i3−i3i30i30−i33−33−30−303−33−33030−30000000000000000
χ832222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12−2i2i−2i−2i2i2i−2i2i111111-2-2111111-2-22-2-1-1-1-1-1-122111111-2-2iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i2-2-1-1-1-12-12-1−2i2i1111-21-21iiii−2ii−2ii−i−i−i−i2i−i2i−i0000000000000000
χ842222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12−2i2i−2i−2i2i2i−2i2i111111-2-2111111-2-22-2-1-1-1-1-1-122111111-2-2iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i-221111-21-212i−2i-1-1-1-12-12-1−i−i−i−i2i−i2i−iiiii−2ii−2ii0000000000000000
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χ1304-44-4−4i4i4i−4i-24-2-22-2-442-22-22-422000000002i−2i−4i4i2i−2i2i−2i−2i2i4i−4i−2i2i−2i2i002i3−2i3002i3−2i3−2i32i323−230023−23−2323000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-4−4i4i4i−4i-2-24-22-22-2-442-222-42000000002i−2i2i−2i−4i4i2i−2i−2i2i−2i2i4i−4i−2i2i00−2i32i32i3−2i300−2i32i3−232323−2300−2323000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-4−4i4i4i−4i-2-24-22-22-2-442-222-42000000002i−2i2i−2i−4i4i2i−2i−2i2i−2i2i4i−4i−2i2i002i3−2i3−2i32i3002i3−2i323−23−23230023−23000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-4−4i4i4i−4i-2-2-242-22-22-2-44222-4000000002i−2i2i−2i2i−2i−4i4i−2i2i−2i2i−2i2i4i−4i00−2i32i3−2i32i32i3−2i300−2323−232323−2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-4−4i4i4i−4i-2-2-242-22-22-2-44222-4000000002i−2i2i−2i2i−2i−4i4i−2i2i−2i2i−2i2i4i−4i002i3−2i32i3−2i3−2i32i30023−2323−23−232300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4444-4-44-2-2-2-4-42222224-2-2-24i−4i0000−4i4i44-2-2-2-2-2-2-4-422222200000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i4i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ1364-4-4444-4-44-2-2-2-4-42222224-2-2-2−4i4i00004i−4i44-2-2-2-2-2-2-4-42222220000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
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χ1404-4-4444-4-4-2-24-22222-4-422-2-24-2−4i4i00004i−4i-2-2-2-244-2-22222-4-42200000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i2i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000000000000000000000
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χ1454-4-44-4-444-24-2-222-4-42222-24-2-2440000-4-422-4-42222-2-244-2-2-2-20000000000000000000000000000000000-224-4-22-222-2-442-22-20000000000000000000000000000000000000000000000000000
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χ1494-4-44-4-444-2-2-24222222-4-4-2-2-24440000-4-4222222-4-4-2-2-2-2-2-2440000000000000000000000000000000000-22-22-224-42-22-22-2-440000000000000000000000000000000000000000000000000000
χ1504-4-44-4-444-2-2-24222222-4-4-2-2-24-4-4000044222222-4-4-2-2-2-2-2-24400000000000000000000000000000000002-22-22-2-44-22-22-224-40000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.