Finite Group Databasebeta

← Group #11872984

Character table — Group #11872984

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order12223344666666121212123446668812121212121212122424242444448121212121212122424242424242424242424242424244444881212121224242424246812121212122424224461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11-111111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-1111111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-1-1-111111111-1-1
χ91111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-111-1-1-1-111-111-1
χ101111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-11-1-11
χ111111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-11-11
χ121111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111-11-1
χ131111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-11-1-1-11111-1-1111-1-11
χ141111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-11-11-111-1-11111-1-1-111-1
χ151111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111111-11-11-1-111-1-111-1-11-11-1
χ161111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-111-1111-1-1-1-1-1-111-11-11
χ17222222-2-2222222-2-2-2-222-22220022-2-2-2-2-2-2000022-2-202-2-222-2-200000000000000-2200000022-2-2000000-20200000000000000
χ18222222-2-2222222-2-2-2-222-22220022-2-2-2-2-2-20000-2-22202-2-222-2-2000000000000002-2000000-2-22200000020-200000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-2000022-2-20-222-2-222000000000000002-200000022-2-200000020-200000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-20000-2-2220-222-2-22200000000000000-22000000-2-222000000-20200000000000000
χ2122222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022000-1-1-1-1000000-1-100
χ2222222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200011110000001100
χ2322222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110022220000000000-2-2000-1-1-1-10000001100
χ2422222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-211111111111100-2-2-2-20000000000220001111000000-1-100
χ2522222-122-1222-1-12222-1-2-2-1-1-12211-1-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110022-2-20000000000-2200011-1-10000001-100
χ2622222-122-1222-1-12222-1-2-2-1-1-12211-1-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-111111100-2-22200000000002-2000-1-111000000-1100
χ2722222-122-1222-1-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10022-2-200000000002-200011-1-1000000-1100
χ2822222-122-1222-1-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-100-2-2220000000000-22000-1-1110000001-100
χ292222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-122222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122000022-1-1-1-1-1-1-1-100-12-10000-1-100000000
χ302222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-20000-2-211111111001-2100001100000000
χ312222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-111112222-2-1-12-1-1-1-111-2-21111-2-21111220000-2-2-1-1-1-1111100-1-2-100001100000000
χ322222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-2-2-1-12-1-1-1-111-2-21111-2-21111-2-20000221111-1-1-1-1001210000-1-100000000
χ332222-12222-1-1-122-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-12222-211-211111122-1-1-1-1-2-21111-2-2000022-1-1-1-1-1-1-1-1001-2100001100000000
χ342222-12222-1-1-122-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-1-2-2-2-2-211-211111122-1-1-1-1-2-21111220000-2-21111111100-12-10000-1-100000000
χ352222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-111112222211-21111-1-1-2-2111122-1-1-1-1-2-20000-2-2-1-1-1-11111001210000-1-100000000
χ362222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-11111-2-2-2-2211-21111-1-1-2-2111122-1-1-1-1220000221111-1-1-1-100-1-2-100001100000000
χ372222-12-2-22-1-1-1221111-12-2-1-1-10022-211-21133−3−322-2-20-11-2-1-1113−30033−3−30033−3−3-22000000-1-11133−3−30010-100003−300000000
χ382222-12-2-22-1-1-1221111-12-2-1-1-10022-211-21133−3−3-2-2220-11-2-1-1113−30033−3−30033−3−32-200000011-1-1−3−33300-1010000−3300000000
χ392222-12-2-22-1-1-1221111-12-2-1-1-10022-211-211−3−33322-2-20-11-2-1-111−3300−3−33300−3−333-22000000-1-111−3−3330010-10000−3300000000
χ402222-12-2-22-1-1-1221111-12-2-1-1-10022-211-211−3−333-2-2220-11-2-1-111−3300−3−33300−3−3332-200000011-1-133−3−300-10100003−300000000
χ412222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-21133−3−322-2-201-1211-1-1−330033−3−300−3−3332-2000000-1-11133−3−300-1010000−3300000000
χ422222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-21133−3−3-2-22201-1211-1-1−330033−3−300−3−333-2200000011-1-1−3−3330010-100003−300000000
χ432222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-211−3−33322-2-201-1211-1-13−300−3−3330033−3−32-2000000-1-111−3−33300-10100003−300000000
χ442222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-211−3−333-2-22201-1211-1-13−300−3−3330033−3−3-2200000011-1-133−3−30010-10000−3300000000
χ452-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-222200002i−2i2i−2i0000000000000000000000002-200002i−2i2i−2i000000000002-200002i−2i0000
χ462-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-222200002i−2i2i−2i000000000000000000000000-2200002i−2i2i−2i00000000000-220000−2i2i0000
χ472-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-22220000−2i2i−2i2i0000000000000000000000002-20000−2i2i−2i2i000000000002-20000−2i2i0000
χ482-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-22220000−2i2i−2i2i000000000000000000000000-220000−2i2i−2i2i00000000000-2200002i−2i0000
χ492-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-200002i−2i−2i2i000000000000000000000000002i−2i002i−2i−2i2i0000000002i−2i00002-2000000
χ502-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-200002i−2i−2i2i00000000000000000000000000−2i2i002i−2i−2i2i000000000−2i2i0000-22000000
χ512-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-20000−2i2i2i−2i000000000000000000000000002i−2i00−2i2i2i−2i0000000002i−2i0000-22000000
χ522-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-20000−2i2i2i−2i00000000000000000000000000−2i2i00−2i2i2i−2i000000000−2i2i00002-2000000
χ5344444-2-4-4-2444-2-2-4-4-4-4-24-4-2-2-200-2-22222220000000004-42-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-2444-2-2-4-4-4-4-2-44-2-2-20022222222000000000-44-222-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-2-211-211-2-2-2-200004-2-2-21111-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-2-211-21122220000-4-2-2-211112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-21-4-41114422-211-211-2-2-2-20000-4222-1-1-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-422-211-211222200004222-1-1-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222214-411100-2-22-1-12-1-12323−23−2300000-22211-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222214-411100-2-22-1-12-1-1−23−23232300000-22211-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-12323−23−23000002-2-2-1-111−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-1−23−232323000002-2-2-1-11123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-444004-44-4-4-40000400-44-4000000000000000000000000000000000000000000000022−22000022−2222−220000000000000000000
χ6444-4-444004-44-4-4-40000400-44-40000000000000000000000000000000000000000000000−22220000−2222−22220000000000000000000
χ6544-4-4-240042-22-4-423−2323−23-2002-220000023−23023−2300000000000000000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ6644-4-4-240042-22-4-423−2323−23-2002-220000023−23023−23000000000000000000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ6744-4-4-240042-22-4-4−2323−2323-2002-2200000−23230−232300000000000000000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ6844-4-4-240042-22-4-4−2323−2323-2002-2200000−23230−2323000000000000000000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
χ694-44-44-24-424-4-42-244-4-4-200-2220000222-2-2-2000000000000000000000000000000004-40000000000000000000-220000000000
χ704-44-44-24-424-4-42-244-4-4-200-2220000222-2-2-200000000000000000000000000000000-4400000000000000000002-20000000000
χ714-44-44-2-4424-4-42-2-4-444-200-2220000-2-2-222200000000000000000000000000000000004i−4i000000000000000−2i2i000000000000
χ724-44-44-2-4424-4-42-2-4-444-200-2220000-2-2-22220000000000000000000000000000000000−4i4i0000000000000002i−2i000000000000
χ734-44-4-244-4-4-222-44-2-222-200-2220000-4224-2-200004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000
χ744-44-4-244-4-4-222-44-2-222-200-2220000-4224-2-20000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000
χ754-44-4-24-44-4-222-4422-2-2-200-22200004-2-2-42200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ764-44-4-24-44-4-222-4422-2-2-200-22200004-2-2-4220000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ774-4-444400-4-4-444-40000400-4-4422−220000000022−2222−220000000000000022−2222−2222−2200000000000000000000000000000000000000000
χ784-4-444400-4-4-444-40000400-4-44−222200000000−2222−222200000000000000−2222−2222−222200000000000000000000000000000000000000000
χ794-4-444-2002-4-44-220000-20022-222−2223−2300000022−2222−220000000023−230000−22−22−226−66−66−600000000000000000000000000000000000
χ804-4-444-2002-4-44-220000-20022-222−22−232300000022−2222−2200000000−23230000−22−22−22−66−66−6600000000000000000000000000000000000
χ814-4-444-2002-4-44-220000-20022-2−222223−23000000−2222−22220000000023−2300002−22−22−2−66−66−6600000000000000000000000000000000000
χ824-4-444-2002-4-44-220000-20022-2−2222−2323000000−2222−222200000000−232300002−22−22−26−66−66−600000000000000000000000000000000000
χ834-4-44-2400-422-24-423−23−2323-20022-222−22000−2323023−232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000
χ844-4-44-2400-422-24-423−23−2323-20022-2−2222000−2323023−23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000
χ854-4-44-2400-422-24-4−232323−23-20022-222−2200023−230−23232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000
χ864-4-44-2400-422-24-4−232323−23-20022-2−222200023−230−2323−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000
χ874-4-44-2-200222-2-2223−23−2323100-1-1122−2223−2303−30−332ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000−333-300−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ76−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000000000000000000
χ884-4-44-2-200222-2-2223−23−2323100-1-1122−22−232303−30−332ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000003−3-3300−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ2300000000000000000000000000000000000
χ894-4-44-2-200222-2-2223−23−2323100-1-11−222223−2303−30−33−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000−333-3002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ2300000000000000000000000000000000000
χ904-4-44-2-200222-2-2223−23−2323100-1-11−2222−232303−30−33−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000003−3-33002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ76−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000000000000000000
χ914-4-44-2-200222-2-22−232323−23100-1-1122−2223−230−3303−32ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000−33-3300−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000000000000000000
χ924-4-44-2-200222-2-22−232323−23100-1-1122−22−23230−3303−32ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000003−33-300−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ2300000000000000000000000000000000000
χ934-4-44-2-200222-2-22−232323−23100-1-11−222223−230−3303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000−33-33002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ2300000000000000000000000000000000000
χ944-4-44-2-200222-2-22−232323−23100-1-11−2222−23230−3303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000003−33-3002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000000000000000000
χ9588-8-88-400-4-88-8440000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400-44-444443−4343−43200-22-200000−23230−232300000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400-44-4444−4343−4343200-22-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-48-84-4444-4-4-4442002-2-200004-2-2-42200000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-884-4444-444-4-42002-2-20000-4224-2-200000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.