Finite Group Databasebeta

← Group #10607042

Character table — Group #10607042

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888101010101010101010101010101010102020202020202020
order1222222244444444551010101010101010101010101010444444444420202020202020202020202020202020202020202020202020202020202020202020202020202020222244444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ5111111111111-1-1-1-11111111111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111-1-1-1-11111111111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ7111111111111-1-1-1-11111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1
χ8111111111111-1-1-1-11111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ911111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1011111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-1
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ1311111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1711-11-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-111-1-11-11-1i−ii−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1
χ1811-11-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-111-1-11-11-1i−ii−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-111-1-1ii−i−i-1-111−i−iii−i−iii-1-111−ii−ii-11-11
χ1911-11-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-111-1-11-1-11−ii−ii-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-1-111−i−iii11-1-1ii−i−i−i−iii-1-111i−i−ii1-1-11
χ2011-11-1-1-11ii−i−iii−i−i1111-1-111-1-1-1-111-1-11-1-11−ii−ii-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-1-111−i−iii-1-111−i−iiiii−i−i11-1-1−iii−i-111-1
χ2111-11-1-1-11ii−i−i−i−iii1111-1-111-1-1-1-111-1-1-111-1−iii−i-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-1-11111-1-1−i−iii11-1-1ii−i−iii−i−i-1-111−ii−ii-111-1
χ2211-11-1-1-11ii−i−i−i−iii1111-1-111-1-1-1-111-1-1-111-1−iii−i-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-1-11111-1-1−i−iii-1-111−i−iii−i−iii11-1-1i−ii−i1-1-11
χ2311-11-1-1-11ii−i−i−i−iii1111-1-111-1-1-1-111-1-1-11-11i−i−ii1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii11-1-1-1-111ii−i−i11-1-1ii−i−i−i−iii11-1-1−iii−i-11-11
χ2411-11-1-1-11ii−i−i−i−iii1111-1-111-1-1-1-111-1-1-11-11i−i−ii1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii11-1-1-1-111ii−i−i-1-111−i−iiiii−i−i-1-111i−i−ii1-11-1
χ2511-11-1-1-11−i−iiiii−i−i1111-1-111-1-1-1-111-1-1-111-1i−i−ii-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-1-11111-1-1ii−i−i11-1-1−i−iii−i−iii-1-111i−ii−i-111-1
χ2611-11-1-1-11−i−iiiii−i−i1111-1-111-1-1-1-111-1-1-111-1i−i−ii-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-1-11111-1-1ii−i−i-1-111ii−i−iii−i−i11-1-1−ii−ii1-1-11
χ2711-11-1-1-11−i−iiiii−i−i1111-1-111-1-1-1-111-1-1-11-11−iii−i1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i11-1-1-1-111−i−iii11-1-1−i−iiiii−i−i11-1-1i−i−ii-11-11
χ2811-11-1-1-11−i−iiiii−i−i1111-1-111-1-1-1-111-1-1-11-11−iii−i1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i11-1-1-1-111−i−iii-1-111ii−i−i−i−iii-1-111−iii−i1-11-1
χ2911-11-1-1-11−i−iii−i−iii1111-1-111-1-1-1-111-1-11-11-1−ii−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1
χ3011-11-1-1-11−i−iii−i−iii1111-1-111-1-1-1-111-1-11-11-1−ii−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-111-1-1−i−iii-1-111ii−i−iii−i−i-1-111i−ii−i-11-11
χ3111-11-1-1-11−i−iii−i−iii1111-1-111-1-1-1-111-1-11-1-11i−ii−i-11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-1-111ii−i−i11-1-1−i−iiiii−i−i-1-111−iii−i1-1-11
χ3211-11-1-1-11−i−iii−i−iii1111-1-111-1-1-1-111-1-11-1-11i−ii−i-11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-1-111ii−i−i-1-111ii−i−i−i−iii11-1-1i−i−ii-111-1
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+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−5222-2-2-2-2-2-2-2-2−1+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+521−521+521−521+521−521+521−521+52000000000000000000000000
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+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ37222222222222-2-2-2-2−1+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+52−1−52-2-222-2-222-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ38222222222222-2-2-2-2−1+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+52−1−52-2-2-2-222-2-222−1+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+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222-2-2-2-2−1−52−1+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+52-2-222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ40222222222222-2-2-2-2−1−52−1+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+52-2-2-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4122222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2-2-21−521−521+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+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ4222222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-222221−521−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ4322222222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2-2-21+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+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ4422222222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222221+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2−1+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+52−1−522222-2-2-2-2221−521−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2−1+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+52−1−5222-2-22222-2-21−521−521+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+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2−1−52−1+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+522222-2-2-2-2221+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+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2−1−52−1+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+5222-2-22222-2-21+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+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ49222-22-2-2-22-22-20000222222-2-22-22-2-2-2-2-200000000002-22-22-22-2000000000000000000000000000000002-22-22-22-20000000000000000
χ50222-22-2-2-22-22-20000222222-2-22-22-2-2-2-2-200000000002-22-22-22-200000000000000000000000000000000-22-22-22-220000000000000000
χ51222-22-2-2-2-22-220000222222-2-22-22-2-2-2-2-20000000000-22-22-22-22000000000000000000000000000000002-22-2-22-220000000000000000
χ52222-22-2-2-2-22-220000222222-2-22-22-2-2-2-2-20000000000-22-22-22-2200000000000000000000000000000000-22-222-22-20000000000000000
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χ1064-4-4-444-4400000000−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+500000000000000000000000000−2ζ3+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.