Finite Group Databasebeta

← Group #72221613

Character table — Group #72221613

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size1111222222444444445555555588888888888810101010101010101010101016161616161616161616161616161616202020202020202020202020202020202020202020202020252525252525252525252525252525252525252540404040404040404040404050505050505050505050505050505050505050505050505050505050505080808080808080808080808080808080100100100100100100100100100100100100100100100100
order1244244444551010202020202222444410102020202020202020202022444444444451010102020202020202020202020204444444488888888101010102020202022444444444444444444101020202020202020202020244444444444444444444444444444202020202020202040404040404040404444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111-1-111-1-11111111111111-11-11111-1-1-1-111111111111111111111ii−i−i1111ii−i−i11-1-111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111ii−i−i1111ii−i−i-1-1-1-1ii−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-111-1-11111111111111-11-11111-1-1-1-111111111111111111111−i−iii1111−i−iii11-1-111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111−i−iii1111−i−iii-1-1-1-1−i−iii-1-1-1-1−i−iii
χ711111111111111111111-1-111-1-11111111111111-11-11111-1-1-1-11111111111111111-1-1-1-1ii−i−i-1-1-1-1ii−i−i11-1-111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1ii−i−i-1-1-1-1ii−i−i1111ii−i−i1111ii−i−i
χ811111111111111111111-1-111-1-11111111111111-11-11111-1-1-1-11111111111111111-1-1-1-1−i−iii-1-1-1-1−i−iii11-1-111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−iii-1-1-1-1−i−iii1111−i−iii1111−i−iii
χ9111111111111111111-1-111-1-111111111111111-11-11-1-1-1-111111111111111111111ii−i−i1111ii−i−i1111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1111ii−i−i1111ii−i−i-1-1-1-1ii−i−i-1-1-1-1
χ10111111111111111111-1-111-1-111111111111111-11-11-1-1-1-111111111111111111111ii−i−i-1-1-1-1ii−i−i-1-1-1-1-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-1ii−i−i-1-1-1-1ii−i−i1111ii−i−i1111
χ11111111111111111111-1-111-1-111111111111111-11-11-1-1-1-111111111111111111111−i−iii1111−i−iii1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii1111−i−iii1111−i−iii-1-1-1-1−i−iii-1-1-1-1
χ12111111111111111111-1-111-1-111111111111111-11-11-1-1-1-111111111111111111111−i−iii-1-1-1-1−i−iii-1-1-1-1-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-1−i−iii-1-1-1-1−i−iii1111−i−iii1111
χ13111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ14111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ17111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ18111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ19111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ20111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ21111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111ii−i−i-1-1-1-1−i−iii11-1-111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−i-1-1-1-1−i−iii-1-1-1-1ii−i−i1111−i−iii
χ22111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−iii-1-1-1-1ii−i−i11-1-111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-1-1-11111-1-11111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1111−i−iii-1-1-1-1ii−i−i-1-1-1-1−i−iii1111ii−i−i
χ23111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111−i−iii11-1-111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-1-1-11111-1-11111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i1111−i−iii1111ii−i−i-1-1-1-1−i−iii
χ24111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111ii−i−i11-1-111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iii1111ii−i−i1111−i−iii-1-1-1-1ii−i−i
χ25111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1111−i−iii-1-1-1-1-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-111111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i1111−i−iii-1-1-1-1ii−i−i-1-1-1-1−i−iii1111
χ26111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1−i−iii1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-111111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-1−i−iii1111ii−i−i1111−i−iii-1-1-1-1
χ27111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1111ii−i−i-1-1-1-1-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-111111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iii1111ii−i−i-1-1-1-1−i−iii-1-1-1-1ii−i−i1111
χ28111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1ii−i−i1111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-111111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1-1-1ii−i−i1111−i−iii1111ii−i−i-1-1-1-1
χ29111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ30111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ31111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ32111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ3311-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i1111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111ii−i−iii−i−i-11ii−i−i1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i1-11-11-11-1i−ii−ii−ii−i
χ3411-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−i1-11-1-11-11i−ii−i−ii−ii1111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111ii−i−iii−i−i-11ii−i−i-11-11-11-11−i−iii−i−iii−i−iii−i−iii1-11-1-11-11i−ii−i−ii−ii1-11-1-11-11i−ii−i−ii−ii
χ3511-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−i-11-111-11-1−ii−iii−ii−i1111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111ii−i−iii−i−i-11ii−i−i-11-11-11-11−i−iii−i−iii−i−iii−i−iii-11-111-11-1−ii−iii−ii−i-11-111-11-1−ii−iii−ii−i
χ3611-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii1111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111ii−i−iii−i−i-11ii−i−i1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii-11-11-11-11−ii−ii−ii−ii
χ3711-1-1-11ii−i−i1111-1-1-1-111-1-1-1-111-1-111iiii−i−i−i−i-111-1ii−i−i−i−iii11-1-111-1-1iiii−i−i−i−i1-11-1i−i−iii−ii−i-111-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-111-1ii−i−i−i−iii1-1−i−iiii−ii−i−ii−ii-1-111-1-11111-1-111-1-11-11-1i−i−iii−ii−i-111-1-11-11i−i−ii−ii−ii-111-1
χ3811-1-1-11ii−i−i1111-1-1-1-111-1-1-1-111-1-111iiii−i−i−i−i-111-1ii−i−i−i−iii11-1-111-1-1iiii−i−i−i−i1-11-1−iii−ii−ii−i1-1-1111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-111-1ii−i−i−i−iii1-1−i−iii−ii−iii−ii−i11-1-111-1-1-1-111-1-1111-11-1−iii−ii−ii−i1-1-11-11-11−iii−i−ii−ii1-1-11
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Here i is the imaginary unit (i² = −1).