Finite Group Databasebeta

← Group #13021983

Character table — Group #13021983

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444444444444444444444445555888888888888888888888888101010101010101010102020202020202020202040404040404040404040404040404040
order12442224444444445888888881010102020202020202020202020202244101020202020202040404040404040404040404040404040222444444444888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ41111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ511111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ811111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ9111111111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ12111111111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ13111111111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ15111111111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-11-1-11-1ii−i−i1i−i1ii−i−i11-1-11-1-1iiii−i−i−i−i11-1-111-1-11-11-1ii−i−iiiii−i−i−i−i1111-1-1-1-11-1-11-1ii−i−i1i−iii−i−i11-1-11-11-1i−ii−ii−ii−i1-11-1
χ1811-1-11-1-11-1ii−i−i1i−i1ii−i−i11-1-11-1-1iiii−i−i−i−i11-1-111-1-11-11-1ii−i−iiiii−i−i−i−i1111-1-1-1-11-1-11-1ii−i−i1i−iii−i−i11-1-1-11-11−ii−ii−ii−ii-11-11
χ1911-1-11-1-11-1ii−i−i1i−i1ii−i−i11-1-11-1-1iiii−i−i−i−i11-1-1-1-1111-11-1ii−i−iiiii−i−i−i−i1111-1-1-1-1-111-11−i−iii-1−ii−i−iii-1-111i−i−ii-111-1-111-1i−i−ii
χ2011-1-11-1-11-1ii−i−i1i−i1ii−i−i11-1-11-1-1iiii−i−i−i−i11-1-1-1-1111-11-1ii−i−iiiii−i−i−i−i1111-1-1-1-1-111-11−i−iii-1−ii−i−iii-1-111−iii−i1-1-111-1-11−iii−i
χ2111-1-11-1-11-1ii−i−i1i−i1−i−iii-1-1111-1-1iiii−i−i−i−i11-1-111-1-11-11-1ii−i−i−i−i−i−iiiii-1-1-1-111111-1-11-1ii−i−i1i−i−i−iii-1-1111-11-1−ii−iii−ii−i-11-11
χ2211-1-11-1-11-1ii−i−i1i−i1−i−iii-1-1111-1-1iiii−i−i−i−i11-1-111-1-11-11-1ii−i−i−i−i−i−iiiii-1-1-1-111111-1-11-1ii−i−i1i−i−i−iii-1-111-11-11i−ii−i−ii−ii1-11-1
χ2311-1-11-1-11-1ii−i−i1i−i1−i−iii-1-1111-1-1iiii−i−i−i−i11-1-1-1-1111-11-1ii−i−i−i−i−i−iiiii-1-1-1-11111-111-11−i−iii-1−iiii−i−i11-1-1i−i−ii1-1-11-111-1−iii−i
χ2411-1-11-1-11-1ii−i−i1i−i1−i−iii-1-1111-1-1iiii−i−i−i−i11-1-1-1-1111-11-1ii−i−i−i−i−i−iiiii-1-1-1-11111-111-11−i−iii-1−iiii−i−i11-1-1−iii−i-111-11-1-11i−i−ii
χ2511-1-11-1-11-1−i−iii1−ii1ii−i−i-1-1111-1-1−i−i−i−iiiii11-1-111-1-11-11-1−i−iiiiiii−i−i−i−i-1-1-1-111111-1-11-1−i−iii1−iiii−i−i-1-1111-11-1i−ii−i−ii−ii-11-11
χ2611-1-11-1-11-1−i−iii1−ii1ii−i−i-1-1111-1-1−i−i−i−iiiii11-1-111-1-11-11-1−i−iiiiiii−i−i−i−i-1-1-1-111111-1-11-1−i−iii1−iiii−i−i-1-111-11-11−ii−iii−ii−i1-11-1
χ2711-1-11-1-11-1−i−iii1−ii1ii−i−i-1-1111-1-1−i−i−i−iiiii11-1-1-1-1111-11-1−i−iiiiiii−i−i−i−i-1-1-1-11111-111-11ii−i−i-1i−i−i−iii11-1-1i−i−ii-111-11-1-11−iii−i
χ2811-1-11-1-11-1−i−iii1−ii1ii−i−i-1-1111-1-1−i−i−i−iiiii11-1-1-1-1111-11-1−i−iiiiiii−i−i−i−i-1-1-1-11111-111-11ii−i−i-1i−i−i−iii11-1-1−iii−i1-1-11-111-1i−i−ii
χ2911-1-11-1-11-1−i−iii1−ii1−i−iii11-1-11-1-1−i−i−i−iiiii11-1-111-1-11-11-1−i−iii−i−i−i−iiiii1111-1-1-1-11-1-11-1−i−iii1−ii−i−iii11-1-11-11-1−ii−ii−ii−ii1-11-1
χ3011-1-11-1-11-1−i−iii1−ii1−i−iii11-1-11-1-1−i−i−i−iiiii11-1-111-1-11-11-1−i−iii−i−i−i−iiiii1111-1-1-1-11-1-11-1−i−iii1−ii−i−iii11-1-1-11-11i−ii−ii−ii−i-11-11
χ3111-1-11-1-11-1−i−iii1−ii1−i−iii11-1-11-1-1−i−i−i−iiiii11-1-1-1-1111-11-1−i−iii−i−i−i−iiiii1111-1-1-1-1-111-11ii−i−i-1i−iii−i−i-1-111i−i−ii1-1-111-1-11i−i−ii
χ3211-1-11-1-11-1−i−iii1−ii1−i−iii11-1-11-1-1−i−i−i−iiiii11-1-1-1-1111-11-1−i−iii−i−i−i−iiiii1111-1-1-1-1-111-11ii−i−i-1i−iii−i−i-1-111−iii−i-111-1-111-1−iii−i
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χ3422222-2-2-220000-200200002i−2i2i−2i2-2-200000000-2-222-2-2-2-22-2-220000000000002i2i−2i−2i2i2i−2i−2i-2222-200002000000−2i2i−2i2i0000000000000000
χ3522222-2-2-220000-20020000−2i2i−2i2i2-2-200000000-2-22222222-2-22000000000000−2i−2i2i2i−2i−2i2i2i2-2-2-220000-2000000−2i2i−2i2i0000000000000000
χ3622222-2-2-220000-20020000−2i2i−2i2i2-2-200000000-2-222-2-2-2-22-2-22000000000000−2i−2i2i2i−2i−2i2i2i-2222-2000020000002i−2i2i−2i0000000000000000
χ372222-22-22-20000-20022-22-200002-2-200000000-2-2222222-222-2000022-2-222-2-200000000-2-22-2-200002002-22-200000000000000000000
χ382222-22-22-20000-20022-22-200002-2-200000000-2-222-2-2-2-2-222-2000022-2-222-2-20000000022-2220000-200-22-2200000000000000000000
χ392222-22-22-20000-2002-22-2200002-2-200000000-2-2222222-222-20000-2-222-2-22200000000-2-22-2-20000200-22-2200000000000000000000
χ402222-22-22-20000-2002-22-2200002-2-200000000-2-222-2-2-2-2-222-20000-2-222-2-2220000000022-2220000-2002-22-200000000000000000000
χ412222-2-22-2-222222-2-22000000002222222222222222222-2-2-2-2-2-2-2-20000000000000000-22-22-22222-2-2-2000000000000000000000000
χ422222-2-22-2-222222-2-2200000000222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002-22-22-2-2-2-2222000000000000000000000000
χ432222-2-22-2-2-2-2-2-2222200000000222-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000-22-22-2-2-2-2-2-222000000000000000000000000
χ442222-2-22-2-2-2-2-2-2222200000000222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000002-22-2222222-2-2000000000000000000000000
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χ59444444444-4-4-4-44-4-4-14444-4-4-4-4-1-1-111111111-1-1-1-10000-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.