Finite Group Databasebeta

← Group #72270372

Character table — Group #72270372

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240
size11112222222222222222224444444444444488888888888888888888888888888888888816161616161616162222444444444444444444888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232333366666666666666666612121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424244848484848484848
order12222222222222444444442222224444444422222222224444444444888888888888888844444444366666666666661212121212121212666666121212121212121266666666661212121212121212121224242424242424242424242424242424121212121212121222222222222222444444442222224444444422222222224444444444888888888888888844444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-1111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-1111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-1111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-1111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ2011111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-111111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ2211111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ2311111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-11-111-11-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-11-111-11-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ2411111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ2511111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2811111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2911111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i11111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i11111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
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χ2324-4-44-40000-44-444-44-444-44-400-444-400004-4-4400-44004-400004-400-4400000000000000000000000000-222-2200002-22-2-22-22-2-22-22002-2-220000-222-2002-200-220000-22002-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2338-8-88800008-8-88-88-8-888-8-880000000000000000000000000000000000000000000000000000000000-444-4-40000-444-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2348-8-88800008-8-88-8-888-8-888-80000000000000000000000000000000000000000000000000000000000-444-4-40000-444-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2358-8-8880000-888-8-88-8-88-888-80000000000000000000000000000000000000000000000000000000000-444-4-400004-4-444-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2368-8-8880000-888-8-8-888-88-8-880000000000000000000000000000000000000000000000000000000000-444-4-400004-4-4444-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2371616-16-1600016-1600000000000000000000000000000000000000000000000000000000000000000000000-8-888000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2381616-16-16000-161600000000000000000000000000000000000000000000000000000000000000000000000-8-8880008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ23916-1616-16016-160000000000000000000000000000000000000000000000000000000000000000000000000-88-880-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ24016-1616-160-16160000000000000000000000000000000000000000000000000000000000000000000000000-88-8808-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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