Finite Group Databasebeta

← Group #12106913

Character table — Group #12106913

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222222222222222222244444444444444444444444444444444445555555588888888888888888888888888888888888888881010101010101010161616161616161620202020202020202020202020202020202040404040
order1222222244444444551010101010101010101010101010444444444488888888202020202020202020202020202020204444444444442020202020202020202020202020202020202020404040404040404040404040404040404444444420202020202020202222444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1
χ131111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ141111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ151111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ161111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1711-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1ii−i−ii−i11-1-1ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-111-1-1ii−i−i11-1-11-1ii−i−i11-1-1ii−i−ii−i1-1
χ1811-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1ii−i−ii−i11-1-1ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii1-1i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii-1-11111-1-1ii−i−i-1-111-11−i−iii-1-111−i−iii−ii-11
χ1911-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1ii−i−ii−i11-1-1−i−iii-1-11111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i-11−iiii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1-1-111−i−iii11-1-11-1ii−i−i-1-111−i−iii−ii-11
χ2011-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1ii−i−ii−i11-1-1−i−iii-1-11111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-11−iiii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−iii-1-111-1-111−i−iii-1-111-11−i−iii11-1-1ii−i−ii−i1-1
χ2111-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1−i−iiii−i-1-111ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i-11−iiii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1-1-111−i−iii-1-1111-1−i−iii11-1-1ii−i−i−ii-11
χ2211-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1−i−iiii−i-1-111ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-11−iiii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-1-111−i−iii11-1-1-11ii−i−i-1-111−i−iiii−i1-1
χ2311-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1−i−iiii−i-1-111−i−iii-1-11111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1-1i−iii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-111-1-1ii−i−i-1-1111-1−i−iii-1-111−i−iiii−i1-1
χ2411-11-1-1-111-1ii−i−i1-111-1-111-1-11111-1-1-1-1−i−iiii−i-1-111−i−iii-1-11111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii1-1i−iii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−iii-1-11111-1-1ii−i−i11-1-1-11ii−i−i11-1-1ii−i−i−ii-11
χ2511-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1ii−i−i−ii-1-111ii−i−i-1-11111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i1-1−ii−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111ii−i−i-1-11111-1-1−i−iii11-1-1-11−i−iii11-1-1−i−iiii−i-11
χ2611-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1ii−i−i−ii-1-111ii−i−i-1-11111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1-1−ii−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iii11-1-111-1-1−i−iii-1-1111-1ii−i−i-1-111ii−i−i−ii1-1
χ2711-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1ii−i−i−ii-1-111−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-11i−i−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-1-111ii−i−i11-1-1-11−i−iii-1-111ii−i−i−ii1-1
χ2811-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1ii−i−i−ii-1-111−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii-11i−i−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1-1-111ii−i−i-1-1111-1ii−i−i11-1-1−i−iiii−i-11
χ2911-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1−i−iii−ii11-1-1ii−i−i-1-11111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-11i−i−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i-1-111-1-111ii−i−i-1-111-11ii−i−i11-1-1−i−iii−ii1-1
χ3011-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1−i−iii−ii11-1-1ii−i−i-1-11111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii-11i−i−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iii11-1-1-1-111ii−i−i11-1-11-1−i−iii-1-111ii−i−ii−i-11
χ3111-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1−i−iii−ii11-1-1−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-11111-1-1−i−iii-1-111-11ii−i−i-1-111ii−i−ii−i-11
χ3211-11-1-1-111-1−i−iii1-111-1-111-1-11111-1-1-1-1−i−iii−ii11-1-1−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1-1−ii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-111-1-1−i−iii11-1-11-1−i−iii11-1-1−i−iii−ii1-1
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+52−1−52222222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+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+52−1−522222222222-2-2-2-2-2-2-2-2−1+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+52−1−5200000000-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+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+52−1−52-2-2-2-222-2-2-2-222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000000-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+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+52−1−52-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2−1+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+52−1−52000000002222−1+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+521−521−521+521+521−521−521+521+5200000000−1+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+52222222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+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+522222222222-2-2-2-2-2-2-2-2−1−52−1+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+5200000000-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−520000000000000000000000
χ392222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000000-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−520000000000000000000000
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χ1528-8-8-88-88800000000−2−25−2+252+252−252+252−252+252−252+25−2−252−25−2+25−2−25−2+25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.