Finite Group Databasebeta

← Group #12120171

Character table — Group #12120171

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222222222444444444444444444444444888888888888888888888888888888888888888810101010101010101616161616161616161616162020202020202020202020204040404040404040
order1244222444551010202020202244444488881010101010102020202020204488888810101010202020202020202020202020404040404040404040404040404040404444444420202020404040404040404022444444888822444488
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
χ311111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-111
χ61111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-11111-11-11-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11111
χ9111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-11-111111
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111111-11-1-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11-11-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111
χ1711-1-11-1-1-1111111-1-1-1-11-11-111-1-1ii−i−i-1-111-1-111-1-111i−ii−ii−i1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iii−i−i11-1-11-11-1i−ii−iii−i−i11-1-1i−i1-1
χ1811-1-11-1-1-1111111-1-1-1-11-11-111-1-1ii−i−i-1-111-1-111-1-111i−ii−ii−i1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-11-11−ii−ii−i−iii-1-111−ii-11
χ1911-1-11-1-1-1111111-1-1-1-11-11-111-1-1−i−iii-1-111-1-111-1-111−ii−ii−ii1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii11-1-1-11-11i−ii−iii−i−i-1-111i−i-11
χ2011-1-11-1-1-1111111-1-1-1-11-11-111-1-1−i−iii-1-111-1-111-1-111−ii−ii−ii1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii11-1-11-11-1−ii−ii−i−iii11-1-1−ii1-1
χ2111-1-11-1-1-1111111-1-1-1-11-11-1-1-111ii−i−i-1-111-1-111-1-111−iii−i−ii-1111-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii−i−iii−i−iii-1-111-11-11i−i−iiii−i−i1-1-11−ii1-1
χ2211-1-11-1-1-1111111-1-1-1-11-11-1-1-111ii−i−i-1-111-1-111-1-111−iii−i−ii-1111-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iii-1-1111-11-1−iii−i−i−iii-111-1i−i-11
χ2311-1-11-1-1-1111111-1-1-1-11-11-1-1-111−i−iii-1-111-1-111-1-111i−i−iii−i-1111-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iiiii−i−iii−i−i-1-1111-11-1i−i−iiii−i−i-111-1−ii-11
χ2411-1-11-1-1-1111111-1-1-1-11-11-1-1-111−i−iii-1-111-1-111-1-111i−i−iii−i-1111-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−iii−i−iii−i−i-1-111-11-11−iii−i−i−iii1-1-11i−i1-1
χ2511-1-11-1-1-1111111-1-1-1-1-11-1111-1-1ii−i−i-1-111-1-111-1-111i−i−ii−ii-11-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−iii−i−i−i−iii-1-1111-11-1i−ii−i−i−iii-1-111−ii1-1
χ2611-1-11-1-1-1111111-1-1-1-1-11-1111-1-1ii−i−i-1-111-1-111-1-111i−i−ii−ii-11-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iiiii−i−i−i−iii-1-111-11-11−ii−iiii−i−i11-1-1i−i-11
χ2711-1-11-1-1-1111111-1-1-1-1-11-1111-1-1−i−iii-1-111-1-111-1-111−iii−ii−i-11-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i-1-111-11-11i−ii−i−i−iii11-1-1−ii-11
χ2811-1-11-1-1-1111111-1-1-1-1-11-1111-1-1−i−iii-1-111-1-111-1-111−iii−ii−i-11-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii−i−iiiii−i−i-1-1111-11-1−ii−iiii−i−i-1-111i−i1-1
χ2911-1-11-1-1-1111111-1-1-1-1-11-11-1-111ii−i−i-1-111-1-111-1-111−ii−iii−i1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−i11-1-1-11-11i−i−ii−i−iii-111-1i−i1-1
χ3011-1-11-1-1-1111111-1-1-1-1-11-11-1-111ii−i−i-1-111-1-111-1-111−ii−iii−i1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i11-1-11-11-1−iii−iii−i−i1-1-11−ii-11
χ3111-1-11-1-1-1111111-1-1-1-1-11-11-1-111−i−iii-1-111-1-111-1-111i−ii−i−ii1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii11-1-11-11-1i−i−ii−i−iii1-1-11i−i-11
χ3211-1-11-1-1-1111111-1-1-1-1-11-11-1-111−i−iii-1-111-1-111-1-111i−ii−i−ii1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-11-11−iii−iii−i−i-111-1−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+52−1−52−1−5222222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1+52−1−52−1+52−1−5200000000000000000000
χ352222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+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+52−1−5222-2-222-2-2−1+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
χ372222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-2-21−521+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+52−1−52−1−52−1+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+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+52−1−52-2-22222-2-21−521+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+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52-2-2-2-222221−521+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+52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ402222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2221−521+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
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+5222222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ432222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521+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+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
χ452222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-2-21+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+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+521−521+521−521+521−5200000000000000000000
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χ1074-44i−4i00000044-4-44i−4i4i−4i00002-22i−2i000000000000000000000000000000002-22-22i−2i2i−2i00000000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i00000000000000000000000000000000
χ1084-44i−4i00000044-4-44i−4i4i−4i00002-22i−2i000000000000000000000000000000002-22-22i−2i2i−2i0000000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i00000000000000000000000000000000
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χ1104-44i−4i00000044-4-44i−4i4i−4i0000-22−2i2i00000000000000000000000000000000-22-22−2i2i−2i2i0000000000000000−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i00000000000000000000000000000000
χ1114-4−4i4i00000044-4-4−4i4i−4i4i00002-2−2i2i000000000000000000000000000000002-22-2−2i2i−2i2i00000000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00000000000000000000000000000000
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χ1144-4−4i4i00000044-4-4−4i4i−4i4i0000-222i−2i00000000000000000000000000000000-22-222i−2i2i−2i0000000000000000−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i00000000000000000000000000000000
χ1158-88i−8i000000−2+25−2−252−252+25−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ700004-44i−4i00000000000000000000000000000000−1+51−5−1−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000000000000000000000000000000000
χ1168-88i−8i000000−2+25−2−252−252+25−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ70000-44−4i4i000000000000000000000000000000001−5−1+51+5−1−52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000000000000000000000000000
χ1178-88i−8i000000−2−25−2+252+252−25−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ1900004-44i−4i00000000000000000000000000000000−1−51+5−1+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000000000000000
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χ1198-8−8i8i000000−2+25−2−252−252+254ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ700004-4−4i4i00000000000000000000000000000000−1+51−5−1−51+52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i000000−2+25−2−252−252+254ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ70000-444i−4i000000000000000000000000000000001−5−1+51+5−1−5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000000000000000000000000000000000
χ1218-8−8i8i000000−2−25−2+252+252−254ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ1900004-4−4i4i00000000000000000000000000000000−1−51+5−1+51−52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i000000−2−25−2+252+252−254ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ190000-444i−4i000000000000000000000000000000001+5−1−51−5−1+5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000000000000000

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