Finite Group Databasebeta

← Group #13099786

Character table — Group #13099786

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222444444444444555588888888888888881010101010101010101010101010202020202020202020202020202020202020202020202020202020202020202050505050100100100100
order12442455101020202020510101010102020202020202244551010101010102020202020202020244444101010102020202044441010202020202020202020202020202020202020202020202020202044448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iii
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−i
χ911-1-1-111111-1-1-1-11-1-11-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-11ii−i−i1111-1-1-1-11-11-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−ii−ii−i
χ1011-1-1-111111-1-1-1-11-1-11-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-11ii−i−i1111-1-1-1-1-11-11-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−i−ii−ii
χ1111-1-1-111111-1-1-1-11-1-11-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-11−i−iii1111-1-1-1-11-11-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−ii−ii
χ1211-1-1-111111-1-1-1-11-1-11-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-11−i−iii1111-1-1-1-1-11-11-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iiii−ii−i
χ1311-1-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1ii−i−i-1-1-1-11111i−i−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii-111-1
χ1411-1-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1ii−i−i-1-1-1-11111−iii−i11-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii1-1-11
χ1511-1-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1−i−iii-1-1-1-11111i−i−ii11-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i1-1-11
χ1611-1-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1−i−iii-1-1-1-11111−iii−i11-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i-111-1
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+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+52−1−52−1−52220000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+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+52−1−52−1−52220000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52000000001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52-2-200001−521−521+521+521−521−521+521+522i2i−2i−2i1−521+521−521+5200000000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52-2-200001−521−521+521+521−521−521+521+52−2i−2i2i2i1−521+521−521+5200000000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+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+52220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+5200000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+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+52220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+52000000001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222-2-2-2-2−1−52−1+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+52-2-200001+521+521−521−521+521+521−521−522i2i−2i−2i1+521−521+521−5200000000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222-2-2-2-2−1−52−1+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+52-2-200001+521+521−521−521+521+521−521−52−2i−2i2i2i1+521−521+521−5200000000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000
χ252222-2-2222222222-2-22-2-2-2-2-2-222222222-2-2-2-222-2-2-2-22222-2-20000222222220000-2-2-2-200000000000000000000000000000000
χ262222-2-2222222222-2-22-2-2-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-22222220000-2-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+52-2-2222222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-20000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+5200000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+52-2-2222222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-20000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+5200000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ292222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+52-2-222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522200001−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−5200000000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000
χ302222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+52-2-222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522200001−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−5200000000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000
χ312222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−52-2-2222222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-20000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−5200000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ322222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−52-2-2222222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-20000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−5200000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ332222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−52-2-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522200001+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+5200000000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900000000
χ342222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−52-2-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522200001+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+5200000000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900000000
χ3522-2-22-22222-2-2-2-2222222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22-200002222-2-2-2-2000022-2-200000000000000000000000000000000
χ3622-2-22-22222-2-2-2-2222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-220000-2-2-2-222220000-2-22200000000000000000000000000000000
χ3722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-20000−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+5200000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ3822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-20000−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+5200000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ3922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2200001−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−5200000000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000
χ4022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2200001−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−5200000000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000
χ4122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-20000−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−5200000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ4222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-20000−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−5200000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ4322-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2200001+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+5200000000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900000000
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χ988-8−8i8i00−2+25−2−252−252+254ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ7-2002−2525002i5−2i52i−2i00001−521+52−5+525−525+52−5−52−1+52−1−522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7000000000000000000000000000000000000000000000000000000
χ998-8−8i8i00−2−25−2+252+252−254ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ19-200225−2500−2i52i52i−2i00001+521−52−5−525+525−52−5+52−1−52−1+523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i00−2−25−2+252+252−254ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ19-2002−2525002i5−2i52i−2i00001+521−525+52−5−52−5+525−52−1−52−1+52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19000000000000000000000000000000000000000000000000000000

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