Finite Group Databasebeta

← Group #12106932

Character table — Group #12106932

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111112222222222222222222222222222444444444444444444444444444444448888888888888888888888888888888888888888888888888888888810101010101010102020202020202020202020204040404040404040
order1222222244444444444455101010101010101010101010101022224444202020202020202020202020202020202020202020202020444488881010101010101010202020202020202020202020202020202020202020202020404040404040404040404040404040404444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ101111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ121111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ141111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1
χ151111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ161111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111
χ1711-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−i1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-11-1ii−i−ii−i11-1-1i−i1-11-1i−i
χ1811-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−i1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-11−i−iii−ii-1-111−ii-11-11−ii
χ1911-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii-11−ii-111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-11-1ii−i−ii−i11-1-1−ii-11-11−ii
χ2011-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii-11−ii-111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-111-11−i−iii−ii-1-111i−i1-11-1i−i
χ2111-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−i1-1−ii-11-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-11-1−i−iiii−i-1-111i−i1-1-11−ii
χ2211-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−i1-1−ii-11-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−iii-1-111-11ii−i−i−ii11-1-1−ii-111-1i−i
χ2311-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii-11i−i1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-11-1−i−iiii−i-1-111−ii-111-1i−i
χ2411-1-11-1-111-1ii−i−iii−i−i1-11111-1-111-1-111-1-1-1-1-1-111−i−iii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii-11i−i1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-11ii−i−i−ii11-1-1i−i1-1-11−ii
χ2511-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1i−i-11i−i-111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-111-11ii−i−ii−i-1-111−ii1-11-1−ii
χ2611-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1i−i-11i−i-111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-11-1−i−iii−ii11-1-1i−i-11-11i−i
χ2711-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-11ii−i−ii−i-1-111i−i-11-11i−i
χ2811-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-11-1−i−iii−ii11-1-1−ii1-11-1−ii
χ2911-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1i−i-11−ii1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-11−i−iiii−i11-1-1−ii1-1-11i−i
χ3011-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1i−i-11−ii1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-11-1ii−i−i−ii-1-111i−i-111-1−ii
χ3111-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii1-1i−i-11-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111ii−i−i-1-111-11−i−iiii−i11-1-1i−i-111-1−ii
χ3211-1-11-1-111-1−i−iii−i−iii1-11111-1-111-1-111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii1-1i−i-11-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii11-1-11-1ii−i−i−ii-1-111−ii1-1-11i−i
χ3322222222222222222222−1+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+52−1−5222222222−1+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+52−1−5222222222−1+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+52−1−52−1−520000000000000000000000000000
χ3422222222222222222222−1+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+52−1−5222222222−1+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+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000
χ3522222222222222222222−1+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+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−522222-2-2-2-21−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000
χ3622222222222222222222−1+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+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52-2-2-2-222221−521−521+521+521−521−521+521+521−521−521+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+52−1−52−1−520000000000000000000000000000
χ3722222222222222222222−1−52−1+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+5222222222−1−52−1+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+5222222222−1−52−1−52−1+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+520000000000000000000000000000
χ3822222222222222222222−1−52−1+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+5222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000
χ3922222222222222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+522222-2-2-2-21+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+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000
χ4022222222222222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+52-2-2-2-222221+521+521−521−521+521+521−521−521+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+520000000000000000000000000000
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χ1498-8-888-88-8000000000000−2+25−2−25−2+25−2−252−252+252−252+252−252+252−252+25−2+25−2−25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-888-88-8000000000000−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−25−2−25−2+25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-8-88-88-88000000000000−2+25−2−252−252+25−2+25−2−252−252+252−252+25−2+25−2−252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-88-88-88000000000000−2−25−2+252+252−25−2−25−2+252+252−252+252−25−2−25−2+252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.