Finite Group Databasebeta

← Group #72222649

Character table — Group #72222649

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1122222222244444444444444444444444888888888888888888888888888888991616161616161616161616161616161616161818181818242424242424242424242424242424243232323232323232323232323232323236363636363636363648484848484848484848484848484848484848484848484872729696969696969696144144144144
order12233446688344666668881212121216161616242424241212121212121212121216162424242424242424242448484848484848482288882424484848484848484848484848244883232323232323232323232323232323224242424242424242424242424242424448881616161622448888969696969696969696969696969696961616661212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111111111-1-11-11-111-1-11111
χ9111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-1-111111111-1-1-1-111111iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-11-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1ii−i−i
χ10111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-1-111111111-1-1-1-111111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111ii−i−i
χ11111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-1-111111111-1-1-1-111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111−i−iii
χ12111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-1-111111111-1-1-1-111111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-11-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1−i−iii
χ13111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i11-11111111-11-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11-11-1-1-111−i−iii
χ14111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1111111-11-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-11-1111-1-1−i−iii
χ15111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1111111-11-1111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-11-1111-1-1ii−i−i
χ16111111111111-1-111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-11111111-11-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11-11-1-1-111ii−i−i
χ1711-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i11ζ−ζζ3−ζ3i−i1111-1-1-1-1ii−i−i-11-1-1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3i−i1i−iii−i−i11-1-1i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-111-1-1i−ii−iζ−ζζ3−ζ3
χ1811-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i11ζ−ζζ3−ζ3i−i1111-1-1-1-1ii−i−i-11-1-1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3i−i1i−iii−i−i-1-111−ii−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1-1-111−ii−iiζ−ζζ3−ζ3
χ1911-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i11−ζζ−ζ3ζ3i−i1111-1-1-1-1ii−i−i-11-1-1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3i−i1i−iii−i−i-1-111−ii−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1-1-111−ii−ii−ζζ−ζ3ζ3
χ2011-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i11−ζζ−ζ3ζ3i−i1111-1-1-1-1ii−i−i-11-1-1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3i−i1i−iii−i−i11-1-1i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-111-1-1i−ii−i−ζζ−ζ3ζ3
χ2111-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i-1-1ζ−ζζ3−ζ3i−i1111-1-1-1-1ii−i−i1-1111ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ii-1−ii−i−iii1-1-11i−i−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-111-1-11i−i−ii−ζζ−ζ3ζ3
χ2211-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i-1-1ζ−ζζ3−ζ3i−i1111-1-1-1-1ii−i−i1-1111−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ii-1−ii−i−iii-111-1−iii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-11-111-1−iii−i−ζζ−ζ3ζ3
χ2311-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i-1-1−ζζ−ζ3ζ3i−i1111-1-1-1-1ii−i−i1-1111ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ii-1−ii−i−iii-111-1−iii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11-111-1−iii−iζ−ζζ3−ζ3
χ2411-1111-111-1-11i−i-1-11-1-1i−i111-1-1ii−i−i-1-1-1-11-1iiii−i−i−i−i1-1ii−i−i1111-1-1iiii−i−i−i−i-1-1−ζζ−ζ3ζ3i−i1111-1-1-1-1ii−i−i1-1111−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ii-1−ii−i−iii1-1-11i−i−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-111-1-11i−i−iiζ−ζζ3−ζ3
χ2511-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii11ζ3−ζ3ζ−ζ−ii1111-1-1-1-1−i−iii-11-1-1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ−ii1−ii−i−iii11-1-1−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-111-1-1−ii−iiζ3−ζ3ζ−ζ
χ2611-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii11ζ3−ζ3ζ−ζ−ii1111-1-1-1-1−i−iii-11-1-1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ−ii1−ii−i−iii-1-111i−ii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1-1-111i−ii−iζ3−ζ3ζ−ζ
χ2711-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii11−ζ3ζ3−ζζ−ii1111-1-1-1-1−i−iii-11-1-1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ii1−ii−i−iii-1-111i−ii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1-1-111i−ii−i−ζ3ζ3−ζζ
χ2811-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii11−ζ3ζ3−ζζ−ii1111-1-1-1-1−i−iii-11-1-1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ii1−ii−i−iii11-1-1−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-111-1-1−ii−ii−ζ3ζ3−ζζ
χ2911-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii-1-1ζ3−ζ3ζ−ζ−ii1111-1-1-1-1−i−iii1-1111ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζi−i-1i−iii−i−i1-1-11−iii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-111-1-11−iii−i−ζ3ζ3−ζζ
χ3011-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii-1-1ζ3−ζ3ζ−ζ−ii1111-1-1-1-1−i−iii1-1111−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζi−i-1i−iii−i−i-111-1i−i−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11-111-1i−i−ii−ζ3ζ3−ζζ
χ3111-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii-1-1−ζ3ζ3−ζζ−ii1111-1-1-1-1−i−iii1-1111ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζi−i-1i−iii−i−i-111-1i−i−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11-111-1i−i−iiζ3−ζ3ζ−ζ
χ3211-1111-111-1-11−ii-1-11-1-1−ii111-1-1−i−iii-1-1-1-11-1−i−i−i−iiiii1-1−i−iii1111-1-1−i−i−i−iiiii-1-1−ζ3ζ3−ζζ−ii1111-1-1-1-1−i−iii1-1111−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζi−i-1i−iii−i−i1-1-11−iii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-111-1-11−iii−iζ3−ζ3ζ−ζ
χ3322222222222222222222222222-2-2-2-222222222222222-2-22222222222-2-2-2-2-2-2-2-222000022-2-2-2-2-2-2-2-2-2-2-2-2222220000000000000000000000000000000022222-2-2-2-2000000000000000000000000-2-2000000000000
χ3422222222222222222222222222-2-2-2-222222222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2222200000000000000000000000022000000000000
χ35222222222222-2-222222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2-2-222222222200000000000000000000000000000000-2-22-2-22222000000000000000000000000-2-2000000000000
χ36222222222222-2-222222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-20000-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-20000000000000000000000000000000022-222-2-2-2-200000000000000000000000022000000000000
χ37222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000220000-2-2000000000000222-2-22−22−22−22−22−22−22−22−2000000000000000022-2-2-20000000000002−22−22−22−22−22−22−22−200000000000000
χ38222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000220000-2-2000000000000222-2-2−22−22−22−22−22−22−22−22000000000000000022-2-2-2000000000000−22−22−22−22−22−22−22−2200000000000000
χ39222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000-2-20000-2-2000000000000-2-2-2222−22−22−22−2−22−22−22−220000000000000000-2-22220000000000002−22−22−22−2−22−22−22−2200000000000000
χ40222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000-2-20000-2-2000000000000-2-2-222−22−22−22−222−22−22−22−20000000000000000-2-2222000000000000−22−22−22−222−22−22−22−200000000000000
χ41222222222-2-22-2-22222222-222220000-2-2-2-222-2-2-2-2-2-2-2-2002222-2-2-2-2-2-20000000022000022000000000000222-2-2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000-2-2-222000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ42222222222-2-22-2-22222222-222220000-2-2-2-222-2-2-2-2-2-2-2-2002222-2-2-2-2-2-20000000022000022000000000000222-2-2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000-2-2-222000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ43222222222-2-22-2-22222222-222220000-2-2-2-222-2-2-2-2-2-2-2-2002222-2-2-2-2-2-200000000-2-2000022000000000000-2-2-222i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000222-2-2000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000
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χ14788-88-4-888-400-400-84-444000-848-442−42−424200004-40000000000000000000042−42−2222−424222−220000000000000000−222222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14888-88-4-888-400-400-84-444000-848-4−424242−4200004-400000000000000000000−424222−2242−42−2222000000000000000022−22−2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14988-8-48-88-4800-4004-8-4440004-8-4842−42−424200004-400000000000000000000−222242−4222−22−42420000000000000000−222222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15088-8-48-88-4800-4004-8-4440004-8-48−424242−4200004-40000000000000000000022−22−4242−222242−42000000000000000022−22−2222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15188-8-4-48-8-4-48828i−8i442-2-2−8i8i-8-4-4440000-4-4-4-42-2−4i−4i2i2i4i4i−2i−2i004i4i−4i−4i44-2-22200000000000000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-4-48-8-4-4882−8i8i442-2-28i−8i-8-4-4440000-4-4-4-42-24i4i−2i−2i−4i−4i2i2i00−4i−4i4i4i44-2-222000000000000002i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15388-8-4-4-88-4-400200442-2-200044-4-442−42−42420000-22006i−6i00−6i6i000000000000−2222−222222−2222−220000000000−3i23i2003i2−3i22−2−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15488-8-4-4-88-4-400200442-2-200044-4-442−42−42420000-2200−6i6i006i−6i000000000000−2222−222222−2222−2200000000003i2−3i200−3i23i22−2−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15588-8-4-4-88-4-400200442-2-200044-4-4−424242−420000-22006i−6i00−6i6i00000000000022−2222−22−2222−222200000000003i2−3i200−3i23i2−222−2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15688-8-4-4-88-4-400200442-2-200044-4-4−424242−420000-2200−6i6i006i−6i00000000000022−2222−22−2222−22220000000000−3i23i2003i2−3i2−222−2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1578-808800-8-84i2−4i280000-800000000000004i2−4i24i2−4i2000000000000000000004i2−4i2000000008-80000000000000000000004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-808800-8-84i2−4i280000-800000000000004i2−4i24i2−4i2000000000000000000004i2−4i200000000-88000000000000000000000−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-808800-8-8−4i24i280000-80000000000000−4i24i2−4i24i200000000000000000000−4i24i2000000008-8000000000000000000000−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-808800-8-8−4i24i280000-80000000000000−4i24i2−4i24i200000000000000000000−4i24i200000000-880000000000000000000004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16116-16016-800-1688i2−8i2-80000800000000000008i2−8i2−4i24i200000000000000000000−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16216-16016-800-168−8i28i2-8000080000000000000−8i28i24i2−4i2000000000000000000004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16316-160-816008-168i2−8i2-8000080000000000000−4i24i28i2−8i200000000000000000000−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16416-160-816008-16−8i28i2-80000800000000000004i2−4i2−8i28i2000000000000000000004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16516-160-8-800888i2−8i240000-412-1200000000000−4i24i2−4i24i20000000000000000006i2−6i22i2−2i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16616-160-8-800888i2−8i240000-4-121200000000000−4i24i2−4i24i2000000000000000000−6i26i22i2−2i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16716-160-8-80088−8i28i240000-412-12000000000004i2−4i24i2−4i2000000000000000000−6i26i2−2i22i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16816-160-8-80088−8i28i240000-4-1212000000000004i2−4i24i2−4i20000000000000000006i2−6i2−2i22i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.