Finite Group Databasebeta

← Group #12120003

Character table — Group #12120003

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888820202020202020202020202040404040404040404040
order1222222244444444551010101010101010101010101010222222444444441010101010101010101010101010101010101010101010102020202020202020202020202020202020202020202020202244441010101010101010202020202020202020202020202020202020202020202020202020204444888888884444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ11111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1
χ12111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ13111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1
χ14111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ15111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111
χ16111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ1711-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-111-1-11-1i−ii−ii−i1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1ii−i−i1-11-1i−i1-1i−i
χ1811-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-111-1-11-1i−ii−ii−i1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111−i−iii-11-11−ii-11−ii
χ1911-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-111-1-1-11−ii−iii−i-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i-1-1-1-11111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1ii−i−i-111-1−ii-11−ii
χ2011-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-111-1-1-11−ii−iii−i-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i-1-1-1-11111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-111−i−iii1-1-11i−i1-1i−i
χ2111-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-1-1-1111-1i−ii−ii−i1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-1-1-1-11111ii−i−iii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111−i−iii1-11-1i−i-11−ii
χ2211-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-1-1-1111-1i−ii−ii−i1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-1-1-1-11111ii−i−iii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1ii−i−i-11-11−ii1-1i−i
χ2311-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-1-1-111-11−ii−iii−i-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii1111-1-1-1-1ii−i−i−i−iii-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-111−i−iii-111-1−ii1-1i−i
χ2411-1-11-11-1-1ii−i−i11-1111111-1-1-1-111-1-1-1-1-1-111-11−ii−iii−i-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii1111-1-1-1-1ii−i−i−i−iii-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1ii−i−i1-1-11i−i-11−ii
χ2511-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-111-1-11-1−ii−ii−ii1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111ii−i−i-11-11i−i-11i−i
χ2611-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-111-1-11-1−ii−ii−ii1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1−i−iii1-11-1−ii1-1−ii
χ2711-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-111-1-1-11i−ii−i−ii-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii-1-1-1-11111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-111ii−i−i1-1-11−ii1-1−ii
χ2811-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-111-1-1-11i−ii−i−ii-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii-1-1-1-11111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1−i−iii-111-1i−i-11i−i
χ2911-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-1-1-1111-1−ii−ii−ii1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-1-1-1-11111−i−iii−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1−i−iii-11-11i−i1-1−ii
χ3011-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-1-1-1111-1−ii−ii−ii1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-1-1-1-11111−i−iii−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111ii−i−i1-11-1−ii-11i−i
χ3111-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-1-1-111-11i−ii−i−ii-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i1111-1-1-1-1−i−iiiii−i−i-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1−i−iii1-1-11−ii-11i−i
χ3211-1-11-11-1-1−i−iii11-1111111-1-1-1-111-1-1-1-1-1-111-11i−ii−i−ii-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i1111-1-1-1-1−i−iiiii−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-111ii−i−i-111-1i−i1-1−ii
χ332222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000000
χ352222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222222222221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000
χ362222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2-2-222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ372222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ382222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.