Finite Group Databasebeta

← Group #11808478

Character table — Group #11808478

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121222444444366666663666666612121212121212121212121212121212121266121212121212366666663666666612121212121212121212121212121212121266121212121212222222226666666644444412121212121212121212121222444444666666666666666612121212121212121212121212121212121266121212121212666666666666666612121212121212121212121212121212121266121212121212
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χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
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χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ1281111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ129111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ130111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ1311111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111
χ1321111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ1331111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ1341111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
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χ2442-2-222-2-22-111-1-1-1112-20000-111-1−333−33−3−3300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i31+i300001+i32−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i31−i300001−i32−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000-222-2-222-21-1-1111-1-1-2200001-1-113−3−33−333−3000000001+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i30000−1−i321+i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000001−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i30000−1+i321−i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ2452-2-222-2-22-111-1-1-111-2200001-1-113−3−333−3−3300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i30000−1−i321+i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i30000−1+i321−i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000-222-2-222-21-1-1111-1-12-20000-111-1−333−3−333−3000000001+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i300001+i32−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000001−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i300001−i32−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ2462-2-222-2-22-111-1-1-111-2200001-1-11−333−3−333−300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i30000−1−i321+i321+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i30000−1+i321−i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000-222-2-222-21-1-1111-1-12-20000-111-13−3−333−3−33000000001+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i300001+i32−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000001−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i300001−i32−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ2472-2-22-222-22-2-22-2-222000000000000000000002i−2i0000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000000000002ζ11−2ζ110000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000000000002ζ7−2ζ70000-222-22-2-22-222-222-2-200000000000000000000−2i2i00001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300000000000000000000−2ζ112ζ1100001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300000000000000000000−2ζ72ζ70000
χ2482-2-22-222-22-2-22-2-22200000000000000000000−2i2i0000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i300000000000000000000−2ζ112ζ110000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300000000000000000000−2ζ72ζ70000-222-22-2-22-222-222-2-2000000000000000000002i−2i00001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3000000000000000000002ζ11−2ζ1100001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3000000000000000000002ζ7−2ζ70000
χ2494444-4-4-4-4-2-2-2-2222200000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000000000-4-4-4-444442222-2-2-2-2000000000000000000000000002+2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000000000002−2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000000000000000
χ25044-4-444-4-4-2-2222-2-2200000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i300000000000000000000000000-4-444-4-44422-2-2-222-2000000000000000000000000002+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3000000000000000000000000002−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i300000000000000000000000000
χ2514-44-44-44-4-22-222-22-200000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300000000000000000000000000-44-44-44-442-22-2-22-22000000000000000000000000002+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3000000000000000000000000002−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300000000000000000000000000
χ2524-4-44-444-4-222-222-2-200000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300000000000000000000000000-444-44-4-442-2-22-2-222000000000000000000000000002+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000002−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.