Finite Group Databasebeta

← Group #13099780

Character table — Group #13099780

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11112222222222444444444444888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020100100100100100100
order12442455101020202020510101010102020202020205510101010101020202020202020202244101010102020202044444410102020202020202020202020202020202020202020202020202020448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i
χ91111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1i−ii−ii−i1111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−i1-11-1
χ101111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1i−i−ii−ii1111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−i-11-11
χ111111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1−iii−ii−i1111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii-11-11
χ121111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1−ii−ii−ii1111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii1-11-1
χ131111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111-111111111i−i1-1-11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−ii−iii−i
χ141111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111-111111111i−i-111-1-1-1-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−iii−i−ii
χ151111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111-111111111−ii1-1-11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111i−ii−i−ii
χ161111-1-1111111111-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111-111111111−ii-111-1-1-1-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1i−i−iii−i
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002222−1+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+52−1−52−1−52000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-2−1+52−1−52−1+52−1−52000000001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52002i2i−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+ζ7000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+5200−2i−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−ζ7000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+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+52000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-2-2−1−52−1+52−1−52−1+52000000001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52002i2i−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+ζ19000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−5200−2i−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−ζ19000000
χ252222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-221−521−521+521+521−521−521+521+52002i−2i2i−2i−1+52−1−52−1+52−1−5200000000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000
χ262222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-221−521−521+521+521−521−521+521+5200−2i2i−2i2i−1+52−1−52−1+52−1−5200000000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002-2-221−521+521−521+5200000000−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+522-2-21−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-222-21−521+521−521+52000000001−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000
χ292222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-221+521+521−521−521+521+521−521−52002i−2i2i−2i−1−52−1+52−1−52−1+5200000000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000
χ302222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-221+521+521−521−521+521+521−521−5200−2i2i−2i2i−1−52−1+52−1−52−1+5200000000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000
χ312222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002-2-221+521−521+521−5200000000−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000
χ322222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−522-2-21+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-222-21+521−521+521−52000000001+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000
χ3322-2-22-22222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-200000022-2-2000000000000000000000000000000
χ3422-2-22-22222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222000000-2-222000000000000000000000000000000
χ3522-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+5200000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000
χ3622-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+5200000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000
χ3722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+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+ζ7000000
χ3822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−522221−521+52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+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−ζ7000000
χ3922-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+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−ζ14000000
χ4022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+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+ζ14000000
χ4122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+5200000000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000000
χ4222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+522221+521−52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+5200000000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000000
χ4322-2-2-222222-2-2-2-22-2-22-2-222-2-22222-2-2-2-222-2-2-2-222222-22-2-2-2-2-2222200000022-2-2000000000000000000000000000000
χ4422-2-2-222222-2-2-2-22-2-22-2-222-2-22222-2-2-2-222-2-2-2-22222-22-222222-2-2-2-2000000-2-222000000000000000000000000000000
χ4522-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+522-2-2−1+52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+5200000000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000000
χ4622-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+522-2-2−1+52−1−52-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+5200000000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.