Finite Group Databasebeta

← Group #72320741

Character table — Group #72320741

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size1122222222244444444444444444444444444444444444888888888888888888888888888888888888888888883232323232323232323232323232323211222222222444444444444444444444444444444444448888888888888888888888888888888888888888888832323232323232323232323232323232
order1222244448822444444888888888881616161616161616161616161616161644881616161616161616323232323232323232323232323232323232323232323232323232323232323222244444161616161616161622222444488224444448888888888816161616161616161616161616161616448816161616161616163232323232323232323232323232323232323232323232323232323232323232222444441616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i
χ6111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiii111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiii
χ7111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−i−i−iiiii111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−i−i−iiiii
χ8111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111iiii−i−i−i−i111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111iiii−i−i−i−i
χ911111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ1011111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111
χ1211111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−i−i−iii11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−i−i−iii
χ1411111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−iiiii−i−i11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−iiiii−i−i
χ1511111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iiiii−i−i11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iiiii−i−i
χ1611111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111ii−i−i−i−iii11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111ii−i−i−i−iii
χ1711-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i11-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii11-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ1911-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii11-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ2011-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i11-1-11-1-111111-11-111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ2111-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-11-1-11-1111-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-11-1-11-11
χ2211-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-11-111-11-111-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-11-111-11-1
χ2311-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1-11-11-111-11-111-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1-11-11-111-11-1
χ2411-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-11-11-1-11-1111-1-11-1-111111-11-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-11-11-1-11-11
χ2511-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1i−i−iii−i−ii11-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1i−i−iii−i−ii
χ2611-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-11-1-11−iii−i−iii−i11-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-11-1-11−iii−i−iii−i
χ2711-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1−iii−i−iii−i11-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1−iii−i−iii−i
χ2811-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11i−i−iii−i−ii11-1-11-1-11111-11-1111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11i−i−iii−i−ii
χ2911-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-11-111-1-11-111-111-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-11-111-1-11-111-1
χ3011-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-1-111-11-1-1111-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-1-111-11-1-11
χ3111-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-11-11-111-11-1-1111-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-11-11-111-11-1-11
χ3211-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-11-1-11-111-111-1-11-1-11111-11-11-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-11-1-11-111-1
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.