Finite Group Databasebeta

← Group #72323095

Character table — Group #72323095

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size11222222222222244444444444444444444444444444444444444488888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464646464646464646464646464128128128128
order12222444488161616162222444444888888816161616161632323232323232323232323232323232244444444888888161616161616161616161616323232323232323232323232323232328881616161616161616323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464648888888864646464646464646464646464646464224488888888888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1
χ6111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−iiiiiii-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiii−i−i−i−i−i−i-1-111
χ8111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1
χ911111111111111111-1-111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ1011111111111111111-1-111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ1111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ1211111111111111111-1-111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-11111-1-1-1-1
χ1311111111111111111-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−i−i−i−i−iiiii-1-111
χ1411111111111111111-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−iiiiiii−i−i−i−i11-1-1
χ1511111111111111111-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111ii−i−i−i−i−i−iiiii11-1-1
χ1611111111111111111-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iiiiiii−i−i−i−i-1-111
χ17111111111111111-1-111-1-1111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-11-111-1-1-1-111-1-1-1-111-1-11-11-1
χ18111111111111111-1-111-1-1111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-11111-1-111-11-11
χ19111111111111111-1-111-1-1111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-1-1-111-1-1-11-11
χ20111111111111111-1-111-1-1111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11111-1-1111-11-1
χ21111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-1-1-111−i−iii−i−iii−i−iii1-1-11
χ22111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-11-1111-1-1ii−i−iii−i−iii−i−i-111-1
χ23111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-1−i−iii−i−iii−i−iii-111-1
χ24111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-111ii−i−iii−i−iii−i−i1-1-11
χ25111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-111-1-1-1-111-11-11
χ26111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1111111-1-11111-1-11-11-1
χ27111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-1111-11-1
χ28111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-11111-1-1-11-11
χ29111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-111−i−i−i−iiiiiii−i−i-111-1
χ30111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-1iiii−i−i−i−i−i−iii1-1-11
χ31111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-1111-1-1−i−i−i−iiiiiii−i−i1-1-11
χ32111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-11-1-1-111iiii−i−i−i−i−i−iii-111-1
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χ34222222222222222222222-2-2-2-222-2-2-2-222222222222222222222222-22-222-2-2-2-22222-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3522222222222222222-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3622222222222222222-2-222-2-2-2-222-2-2-2-2222222222222222222222222-22-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ37222222222222222-2-222-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-222-2-222-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.