Finite Group Databasebeta

← Group #12100186

Character table — Group #12100186

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222222222444444444444444444444444888888888888888888888888888888888888888810101010101010101616161616161616161616162020202020202020202020204040404040404040
order1222224444551010101010102244444444441010101020202020202020204444888810101010202020202020202020202020202020202020202020202020202020202222444420202020404040404040404022444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-111-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-111-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-111-1-1111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1
χ9111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ10111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ11111111111111111111-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ12111111111111111111-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111
χ171-11-1-111-11-11111-1-1-1-11-1ii−i−ii−i1-1i−i-1-11111-1-111-1-1i−i1-1i−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-11-1i−i1-1ii−i−ii−ii−i1-1i−i1-1
χ181-11-1-111-11-11111-1-1-1-11-1ii−i−ii−i1-1i−i-1-11111-1-111-1-1i−i1-1i−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-111ii−i−iii−i−i11-1-1-11−ii-11−i−iii−ii−ii-11−ii-11
χ191-11-1-111-11-11111-1-1-1-11-1ii−i−ii−i1-1i−i-1-11111-1-111-1-1−ii-11−ii-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-111-1-1−i−iii−i−iii-1-1111-1i−i1-1ii−i−ii−i−ii-11−ii-11
χ201-11-1-111-11-11111-1-1-1-11-1ii−i−ii−i1-1i−i-1-11111-1-111-1-1−ii-11−ii-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111-1-111−i−iii−i−iii-1-111-11−ii-11−i−iii−iii−i1-1i−i1-1
χ211-11-1-111-11-11111-1-1-1-11-1−i−iii−ii1-1−ii-1-11111-1-111-1-1i−i-11i−i-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-111-1-1ii−i−iii−i−i-1-1111-1−ii1-1−i−iii−iii−i-11i−i-11
χ221-11-1-111-11-11111-1-1-1-11-1−i−iii−ii1-1−ii-1-11111-1-111-1-1i−i-11i−i-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111-1-111ii−i−iii−i−i-1-111-11i−i-11ii−i−ii−i−ii1-1−ii1-1
χ231-11-1-111-11-11111-1-1-1-11-1−i−iii−ii1-1−ii-1-11111-1-111-1-1−ii1-1−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-11-1−ii1-1−i−iii−ii−ii1-1−ii1-1
χ241-11-1-111-11-11111-1-1-1-11-1−i−iii−ii1-1−ii-1-11111-1-111-1-1−ii1-1−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-111−i−iii−i−iii11-1-1-11i−i-11ii−i−ii−ii−i-11i−i-11
χ251-11-1-111-11-11111-1-1-1-1-11ii−i−i−ii-11−ii-1-11111-1-111-1-1i−i1-1−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-111-11−ii-11ii−i−i−iii−i1-1−ii-11
χ261-11-1-111-11-11111-1-1-1-1-11ii−i−i−ii-11−ii-1-11111-1-111-1-1i−i1-1−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-111ii−i−i−i−iii-1-1111-1i−i1-1−i−iiii−i−ii-11i−i1-1
χ271-11-1-111-11-11111-1-1-1-1-11ii−i−i−ii-11−ii-1-11111-1-111-1-1−ii-11i−i1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-111-1-1−i−iiiii−i−i11-1-1-11−ii-11ii−i−i−ii−ii-11i−i1-1
χ281-11-1-111-11-11111-1-1-1-1-11ii−i−i−ii-11−ii-1-11111-1-111-1-1−ii-11i−i1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-1-111−i−iiiii−i−i11-1-11-1i−i1-1−i−iiii−ii−i1-1−ii-11
χ291-11-1-111-11-11111-1-1-1-1-11−i−iiii−i-11i−i-1-11111-1-111-1-1i−i-11−ii1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-111-1-1ii−i−i−i−iii11-1-1-11i−i-11−i−iiii−ii−i-11−ii1-1
χ301-11-1-111-11-11111-1-1-1-1-11−i−iiii−i-11i−i-1-11111-1-111-1-1i−i-11−ii1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-1-111ii−i−i−i−iii11-1-11-1−ii1-1ii−i−i−ii−ii1-1i−i-11
χ311-11-1-111-11-11111-1-1-1-1-11−i−iiii−i-11i−i-1-11111-1-111-1-1−ii1-1i−i-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-111-11i−i-11−i−iiii−i−ii1-1i−i-11
χ321-11-1-111-11-11111-1-1-1-1-11−i−iiii−i-11i−i-1-11111-1-111-1-1−ii1-1i−i-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-111−i−iiiii−i−i-1-1111-1−ii1-1ii−i−i−iii−i-11−ii1-1
χ332222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222222−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ342222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222222−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ352222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2−1+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+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ362222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-222−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ372222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ382222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222221−521+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+52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ392222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2221−521+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+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ402222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-21−521+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+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ412222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+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+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ422222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+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+521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ432222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-2−1−52−1+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+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ442222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-222−1−52−1+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+52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ452222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
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χ1054-44-44-4-4-444−1+5−1−5−1+5−1−51−51−51+51+50000004i−4i00−4i4i−1+5−1−51−51+51−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000000000000
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χ1218-8-88000000−2−25−2+252+252−252+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000
χ1228-8-88000000−2−25−2+252+252−252+25−2−252−25−2+2500000000000000000000000000000000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000

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