Finite Group Databasebeta

← Group #12100902

Character table — Group #12100902

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222222222444444444444444444444444888888888888888888888888888888888888888810101010101010101616161616161616161616162020202020202020202020204040404040404040
order1222224444551010101010102222444444441010101020202020202020202244888810101010101010102020202020202020202020202020202020202020202020202222444410101010404040404040404044444444444422448888
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
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ171-1-11-1111-1-11111-1-1-1-111-1-1ii−i−iii−i−i-1-1111111-1-1-1-11-11-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11-11-1i−ii−i
χ181-1-11-1111-1-11111-1-1-1-111-1-1ii−i−iii−i−i-1-1111111-1-1-1-11-11-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-11-11−ii−ii
χ191-1-11-1111-1-11111-1-1-1-111-1-1ii−i−iii−i−i-1-1111111-1-1-1-1-11-11−ii−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i11-1-1-11-11−ii−ii
χ201-1-11-1111-1-11111-1-1-1-111-1-1ii−i−iii−i−i-1-1111111-1-1-1-1-11-11−ii−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-1111-11-1i−ii−i
χ211-1-11-1111-1-11111-1-1-1-111-1-1−i−iii−i−iii-1-1111111-1-1-1-11-11-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-11-11-1−ii−ii
χ221-1-11-1111-1-11111-1-1-1-111-1-1−i−iii−i−iii-1-1111111-1-1-1-11-11-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-11-11i−ii−i
χ231-1-11-1111-1-11111-1-1-1-111-1-1−i−iii−i−iii-1-1111111-1-1-1-1-11-11i−ii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii11-1-1-11-11i−ii−i
χ241-1-11-1111-1-11111-1-1-1-111-1-1−i−iii−i−iii-1-1111111-1-1-1-1-11-11i−ii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-1111-11-1−ii−ii
χ251-1-11-1111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1111111-1-1-1-11-1-11i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1111-1-11i−i−ii
χ261-1-11-1111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1111111-1-1-1-11-1-11i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-111-1−iii−i
χ271-1-11-1111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1111111-1-1-1-1-111-1−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-111-111-1−iii−i
χ281-1-11-1111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1111111-1-1-1-1-111-1−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-11-1-11i−i−ii
χ291-1-11-1111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1111111-1-1-1-11-1-11−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1111-1-11−iii−i
χ301-1-11-1111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1111111-1-1-1-11-1-11−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-111-1i−i−ii
χ311-1-11-1111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1111111-1-1-1-1-111-1i−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-111-111-1i−i−ii
χ321-1-11-1111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1111111-1-1-1-1-111-1i−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-11-1-11−iii−i
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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ362222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+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+52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ372222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521−521+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+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
χ382222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2221−521−521+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ392222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ442222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1−52−1+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+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-21+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+521−521−521+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
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χ1054-4-444-4-444-4−1+5−1−5−1+5−1−51−51−51+51+500004i−4i−4i4i0000−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000000000000000000000000000
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χ1104-4-44-44-4-444−1+5−1−5−1+5−1−51−51−51+51+5-444-4000000001−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5000000001−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-44-4-444−1−5−1+5−1−5−1+51+51+51−51−54-4-44000000001+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-8000000−2+25−2−252−252+252−25−2+252+25−2−2500000000000000000000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000000000
χ1218-88-8000000−2−25−2+252+252−252+25−2−252−25−2+2500000000000000000000000000000000000000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ1228-88-8000000−2−25−2+252+252−252+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000

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