Finite Group Databasebeta

← Group #72252795

Character table — Group #72252795

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166
size1111222222222233333333444444444444444444666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121216161616161636363636363636363636363636363636363636363636363648484848484848484848484848484848144144144144144144
order1222344444466633666666888812121212121224242424242424249991212121212121212121212121818181818181818182424242424242424363636363636363636363636363636363636727272727272727272727272727272727272727272727272246612128888888824242424242424242424242424242424661212181818181818363636363636226666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-11-1-111
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-111
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111111-111-1-1
χ911111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ1011111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ1111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321−i321+i321−i32
χ1211111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ1311111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1411111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321-111-1-1-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ1511111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-11-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ1611111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-11-1-111-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ1711111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ1811111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ1911111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321+i321−i321+i32
χ2011111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ2111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ2211111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321-111-1-1-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ2311111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-11-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ2411111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-11-1-111-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ252222222222222222222222222222222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222220000000000000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ262222222222222222222222222222222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000000000000000000000-2-2-2-2111111111111000000
χ272222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1222222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111112-222-2-200000000000000000000000022-2-2-1-1-1-1-1-1111111000000
χ282222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1222222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-22-2-222000000000000000000000000-2-222111111-1-1-1-1-1-1000000
χ2922222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3222222222222222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32222222000000000000000000000000−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000
χ3022222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3222222222222222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-2-2-2-2-2-20000000000000000000000001+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000
χ3122222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2222222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i322-222-2-2000000000000000000000000−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000
χ3222222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2222222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-22-2-2220000000000000000000000001+i31−i3−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000
χ3322222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3222222222222222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32222222000000000000000000000000−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000
χ3422222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3222222222222222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-2-2-2-2-2-20000000000000000000000001−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000
χ3522222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2222222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i322-222-2-2000000000000000000000000−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000
χ3622222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2222222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-22-2-2220000000000000000000000001−i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000
χ372222222-2-2-2-22222222222222-2-2-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ382222222-2-2-2-22222222222222-2-2-2-2-2-2222222-2-2-2-2-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-122-2-222-2-2111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000
χ392222222-2-2-2-22222222222222-2-2-2-2-2-2222222-2-2-2-2-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-122-2-222-2-2111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000
χ402222222-2-2-2-222222222222-2-222-2-2-2-222-2-2-2-222222222222-2-2-2-2-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ412222222-2-2-2-222222222222-2-222-2-2-2-222-2-2-2-22222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-2-222-2-222111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000
χ422222222-2-2-2-222222222222-2-222-2-2-2-222-2-2-2-22222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-2-222-2-222111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000
χ432222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2-2-2222222-2-2-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-2-21+i31+i31−i31−i3-2-21+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i32222-2-2-2-2−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000000000000000000000000000000000000000
χ442222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2-2-2222222-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000000000000000−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32000000
χ452222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2-2-2222222-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000000000000000i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32000000
χ462222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-2-2-222-2-2-2-222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-2-21+i31+i31−i31−i3-2-21+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i3-2-2-2-222221+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000000000000000000000000000000000
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χ1486666-3666666-3-3-300000000-6-6-6-6-3-3-3-3-3-33333333300000000000000000000000000000000000000000000000000000000000000000000000000-6633-3-30000000000000000000000000000000000000000000000
χ1496666-366-6-6-6-6-3-3-30000000066-6-63333-3-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000000000000−3i33i3−3i33i30000000000000000000000000000000000000000000000
χ1506666-366-6-6-6-6-3-3-30000000066-6-63333-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000000000003i3−3i33i3−3i30000000000000000000000000000000000000000000000
χ1516666-366-6-6-6-6-3-3-300000000-6-6663333-3-33333-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000000000000−3i33i33i3−3i30000000000000000000000000000000000000000000000
χ1526666-366-6-6-6-6-3-3-300000000-6-6663333-3-33333-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000
χ15312121212-6-12-121212-12-12-6-6-6000000000000-6-6666600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15412121212-6-12-12-12-121212-6-6-600000000000066-6-66600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1551212-12-12-60012-1200-666000000000000-66000036−3636−3636−3636−36000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1561212-12-12-60012-1200-666000000000000-660000−3636−3636−3636−3636000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1571212-12-12-600-121200-6660000000000006-6000036−3636−36−3636−3636000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1581212-12-12-600-121200-6660000000000006-60000−3636−363636−3636−36000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15912-1212-12-612-1200006-660000000000000000-66000063−63−6363000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16012-1212-12-612-1200006-660000000000000000-660000−636363−63000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16112-1212-12-6-121200006-6600000000000000006-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16212-1212-12-6-121200006-6600000000000000006-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16312-12-1212-6000012-1266-60000000062−6262−6200-6600−32−323232−32−323232000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16412-12-1212-6000012-1266-600000000−6262−626200-66003232−32−323232−32−32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16512-12-1212-60000-121266-60000000062−62−6262006-600−32−3232323232−32−32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16612-12-1212-60000-121266-600000000−626262−62006-6003232−32−32−32−323232000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.