Finite Group Databasebeta

← Group #12963642

Character table — Group #12963642

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170
size111122222222222222222222224444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888810101010101010101010101010101010202020202020202020202020202020202020202020202020
order1244222444558888888810102020202022224444444488888888888810101010101020202020202020202020202020204040404040404040404040404040404010101010101010102020202020202020202020204040404040404040404040404040404040404040404040402222444488888888222244444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111
χ511111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ10111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ11111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ12111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ13111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ14111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ15111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ16111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ171111-1-11-1-11111111-1-1-1-11111111-11-11-11-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ181111-1-11-1-11111111-1-1-1-11111111-11-11-11-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-111
χ191111-1-11-1-11111111-1-1-1-11111111-1-111-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-111
χ201111-1-11-1-11111111-1-1-1-11111111-1-111-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-111-111-1-1-1-11111-1-111-1-1
χ211111-1-11-1-11111111-1-1-1-1111111-111-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-111
χ221111-1-11-1-11111111-1-1-1-1111111-111-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111-1-111-1-1111-1-111-1-1-1-11111-1-1
χ231111-1-11-1-11111111-1-1-1-1111111-11-11-11-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-1
χ241111-1-11-1-11111111-1-1-1-1111111-11-11-11-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111-11-11-11-1-1-11111-1-111-1-1-1-111
χ251111-1-11-1-1111-1-1-1-111111111111-11-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111-11-11-11-1-1-111-1-111-1-11111-1-1
χ261111-1-11-1-1111-1-1-1-111111111111-11-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11-11-1111-1-111-1-111-1-1-1-111
χ271111-1-11-1-1111-1-1-1-111111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ281111-1-11-1-1111-1-1-1-111111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1
χ291111-1-11-1-1111-1-1-1-11111111111-111-1-111-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-111-1-111-111-1-111-1-1-1-111-1-111
χ301111-1-11-1-1111-1-1-1-11111111111-111-1-111-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-111-1-11-1-111-1-11111-1-111-1-1
χ311111-1-11-1-1111-1-1-1-11111111111-11-11-11-11-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-11-11-11-1-11111-1-111-1-111-1-1
χ321111-1-11-1-1111-1-1-1-11111111111-11-11-11-11-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11-11-11-11-111-1-1-1-111-1-111-1-111
χ3311-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-1111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-11-11-11-11-1ii−i−iii−i−i1-111-11-1-1i−ii−ii−ii−ii−ii−i1-11-1
χ3411-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-1111-1-1-1-11i−ii−ii−ii−ii−ii−i1-11-111-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1-11-11-11-11−i−iii−i−iii-11-1-11-111−ii−ii−ii−ii−ii−ii-11-11
χ3511-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-111-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1-1-111-1-1−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iii-1-111-1-1111-11-11-11-1ii−i−iii−i−i1-1-1-1-1111−ii−iii−ii−i−ii−ii-11-11
χ3611-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-111-11-1-11-1−ii−iii−ii−i−ii−ii-11-1111-1-1-1-111-1-1−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iii-1-111-1-111-11-11-11-11−i−iii−i−iii-11111-1-1-1i−ii−i−ii−iii−ii−i1-11-1
χ3711-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-1-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1-1-111-1-1−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-11111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-1111-11-11-11-1ii−i−iii−i−i-11111-1-1-1−ii−ii−ii−iii−ii−i-11-11
χ3811-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-1-1-11-111-11−ii−ii−ii−iii−ii−i-11-1111-1-1-1-111-1-1−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-11111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-11-11-11-11−i−iii−i−iii1-1-1-1-1111i−ii−ii−ii−i−ii−ii1-11-1
χ3911-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-1-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-11-11-11-1ii−i−iii−i−i-11-1-11-111i−ii−i−ii−ii−ii−ii1-11-1
χ4011-1-11-1-11-1111ii−i−iii−i−i11-1-1-1-1-1-1-11111-1i−ii−i−ii−ii−ii−ii1-11-111-1-1-1-111-1-1iiii−i−i−i−i11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iii−i−iii−i−iii11-1-111-1-1-11-11-11-11−i−iii−i−iii1-111-11-1-1−ii−iii−ii−ii−ii−i-11-11
χ4111-1-11-1-11-1111−i−iii−i−iii11-1-1-1-1111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1-1-111-1-1−i−i−i−iiiii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-11-11-11-1−i−iii−i−iii1-111-11-1-1−ii−ii−ii−ii−ii−ii1-11-1
χ4211-1-11-1-11-1111−i−iii−i−iii11-1-1-1-1111-1-1-1-11−ii−ii−ii−ii−ii−ii1-11-111-1-1-1-111-1-1−i−i−i−iiiii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1-11-11-11-11ii−i−iii−i−i-11-1-11-111i−ii−ii−ii−ii−ii−i-11-11
χ4311-1-11-1-11-1111−i−iii−i−iii11-1-1-1-111-11-1-11-1i−ii−i−ii−iii−ii−i-11-1111-1-1-1-111-1-1iiii−i−i−i−i11−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-1111-11-11-11-1−i−iii−i−iii1-1-1-1-1111i−ii−i−ii−iii−ii−i-11-11
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.