Finite Group Databasebeta

← Group #13249542

Character table — Group #13249542

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444416161616161616161616161616161616161616161616161616161616282828282828282828282828282828285656565656565656
order1222222222224444444444447771414141414141414141414141414141414141414144444441414141414141414141414142828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282444141414141414282828282828282828282828282828282828444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17222222222222222222222222−ζ20−ζ36−ζ12−ζ44−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ12−ζ44−ζ4−ζ52222222−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ522222−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52000000000000000000000000
χ18222222222222222222222222−ζ20−ζ36−ζ12−ζ44−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ12−ζ44−ζ4−ζ52222222−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52-2-2-2-2ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52000000000000000000000000
χ19222222222222222222222222−ζ12−ζ44−ζ4−ζ52−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ4−ζ52−ζ20−ζ36222222−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ362222−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36000000000000000000000000
χ20222222222222222222222222−ζ12−ζ44−ζ4−ζ52−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ4−ζ52−ζ20−ζ36222222−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36-2-2-2-2ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36ζ12+ζ44ζ12+ζ44ζ4+ζ52ζ4+ζ52ζ20+ζ36ζ20+ζ36000000000000000000000000
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Here ζ is a primitive root of unity of order 56 (ζ56 = 1); i = ζ14.