Finite Group Databasebeta

← Group #72323020

Character table — Group #72323020

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323264646464
order122222222222444444444444888888881616161616161616161616161616161622224444444444888888881616161616161616161616161616161644448888888888161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232322222444432323232323232323232323232323232222222444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1111111111111-1-1-1-1
χ911111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1iiii−i−i−i−iii−i−i
χ1011111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiii−i−iii
χ1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−i−i−i−iiiii−i−iii
χ1211111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111iiii−i−i−i−iii−i−i
χ1311111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-111iiii−i−i−i−i−i−iii
χ1411111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-11111-1-1−i−i−i−iiiiiii−i−i
χ1511111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-111−i−i−i−iiiiiii−i−i
χ1611111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-11111-1-1iiii−i−i−i−i−i−iii
χ1711111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-11-1
χ1811111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-111-11-11
χ1911111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-11-11
χ2011111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-111-1-111-1-11-11-1
χ2111111111-1-1-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-11-11
χ2211111111-1-1-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-1111-11-1
χ2311111111-1-1-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ2411111111-1-1-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-11-11
χ2511111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111111-1-1-1-1ii−i−i−i−iiii−i−ii
χ2611111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111−i−iiiii−i−i−iii−i
χ2711111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111111-1-1-1-1−i−iiiii−i−i−iii−i
χ2811111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111ii−i−i−i−iiii−i−ii
χ2911111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1111111ii−i−i−i−iii−iii−i
χ3011111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1−i−iiiii−i−ii−i−ii
χ3111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1111111−i−iiiii−i−ii−i−ii
χ3211111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1ii−i−i−i−iii−iii−i
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ35222222222222222222222222-2-2-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-2-2-2000000000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-2-2-200000000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2222200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ37222222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-222222222000000000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ38222222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222222200000000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000022−2−222−2−222−2−222−2−2000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.