Finite Group Databasebeta

← Group #72225510

Character table — Group #72225510

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172
size112222222444444444444444444444444444444888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128128128
order1224488882444448888888888881616161616161616161616164444888888888888816161616161616161616161616161616161632323232323232328816161616323232323232323232323232323232323232323232323232323232322244444488888888161616161616161616161616161616166464646464646464646464646464646422448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1
χ10111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111
χ11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-11-11-1-111
χ12111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111-11-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ16111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111
χ17111111111-111-1-1-11111111111-1-11111-1-1-1-11111ii−i−i-1-1-1-1ii−i−iii−i−i-111-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ18111111111-111-1-1-11111111111-1-11111-1-1-1-11111ii−i−i-1-1-1-1ii−i−iii−i−i-111-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii-1-111−ii−ii
χ19111111111-111-1-1-11111111111-1-11111-1-1-1-11111ii−i−i-1-1-1-1ii−i−iii−i−i-111-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-1-111−ii−ii
χ20111111111-111-1-1-11111111111-1-11111-1-1-1-11111ii−i−i-1-1-1-1ii−i−iii−i−i-111-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-1-111-1-111−i−iii−i−iii11-1-1i−ii−i
χ21111111111-111-1-1-11111111111-1-11111-1-1-1-11111−i−iii-1-1-1-1−i−iii−i−iii-111-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-1−ii−ii
χ22111111111-111-1-1-11111111111-1-11111-1-1-1-11111−i−iii-1-1-1-1−i−iii−i−iii-111-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-1-111i−ii−i
χ23111111111-111-1-1-11111111111-1-11111-1-1-1-11111−i−iii-1-1-1-1−i−iii−i−iii-111-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-1-111i−ii−i
χ24111111111-111-1-1-11111111111-1-11111-1-1-1-11111−i−iii-1-1-1-1−i−iii−i−iii-111-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-111-1-111ii−i−iii−i−i11-1-1−ii−ii
χ25111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111ii−i−i1111ii−i−i−i−iii-1-1-111−i−i−i−iiiii-1-111-1-11111-1-1-1-1−iiii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-1ii−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii
χ26111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111ii−i−i1111ii−i−i−i−iii-1-1-111−i−i−i−iiiii-1-111-1-11111-1-1-1-1−iiii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-1ii−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-111-1−iii−i
χ27111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111ii−i−i1111ii−i−i−i−iii-1-1-111−i−i−i−iiiii-1-111-1-11111-1-1-1-1−iiii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-11−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ28111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111ii−i−i1111ii−i−i−i−iii-1-1-111−i−i−i−iiiii-1-111-1-11111-1-1-1-1−iiii−i−i11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-11−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ29111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111−i−iii1111−i−iiiii−i−i-1-1-111iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−i−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-1−i−iii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i1-1-11−iii−i
χ30111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111−i−iii1111−i−iiiii−i−i-1-1-111iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−i−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-1−i−iii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii-111-1i−i−ii
χ31111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111−i−iii1111−i−iiiii−i−i-1-1-111iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−i−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-11ii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ32111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111−i−iii1111−i−iiiii−i−i-1-1-111iiii−i−i−i−i-1-111-1-11111-1-1-1-1i−i−i−iii11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-11ii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ3322222222222222222222222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000000000000000000000000000
χ35222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2-2-20000000000000000000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−200000000
χ36222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2-2-2000000000000000000000000000000000000000000000000000000000000−22−22−22−22−22−22−22−2200000000
χ37222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2-2-2-222222222-2-2-2-2-2-200000000-2-222220000000000000000000000000000000000000000000000000000000000002−22−22−22−2−22−22−22−2200000000
χ38222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-2-2-2-222222222-2-2-2-2-2-200000000-2-22222000000000000000000000000000000000000000000000000000000000000−22−22−22−222−22−22−22−200000000
χ39222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222222222222-2-2-2-2-2-200000000-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002−22−2−22−222−22−2−22−2200000000
χ40222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222222222222-2-2-2-2-2-200000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−22−222−22−2−22−222−22−200000000
χ41222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222220000000000000000000000000000000000000000000000000000000000002−22−2−22−22−22−222−22−200000000
χ42222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222222000000000000000000000000000000000000000000000000000000000000−22−222−22−22−22−2−22−2200000000
χ43222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ44222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ45222222222-222-2-2-22222222222-2-22222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i-222-2-22i2i2i2i−2i−2i−2i−2i-2-222-2-2-2-2-2-222222i−2i2i2i−2i−2i-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000000000
χ46222222222-222-2-2-22222222222-2-22222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i2i2i−2i−2i2i2i-222-2-2−2i−2i−2i−2i2i2i2i2i-2-222-2-2-2-2-2-22222−2i2i−2i−2i2i2i-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ47222222222-222-2-2-22222222222-2-2-2-2-2-22222-2-2-2-22i2i−2i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-222−2i−2i−2i−2i2i2i2i2i22-2-222000000002i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ48222222222-222-2-2-22222222222-2-2-2-2-2-22222-2-2-2-22i2i−2i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-222−2i−2i−2i−2i2i2i2i2i22-2-222000000002i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.