Finite Group Databasebeta

← Group #11872760

Character table — Group #11872760

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order1222334466666612121212344666881212121212121212242424244444812121212121212242424242424242424242424242422244488121212122424242444666812121224242244121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1
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
χ5111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-1111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1111-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1-111111111-1-1
χ91111111111111111111-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111111111-11-111-1-1-1-1-1-1-1-1111-11-1
χ101111111111111111111-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-111-1-1-11-11
χ111111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-11
χ121111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-111-1
χ131111111111111111111-1-1111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-11-1-1111-1-1-111-1-111-11-11
χ141111111111111111111-1-1111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-11-1-1-11-1111111-1-11-11-1
χ151111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111111-1111-11-1-1-1-111-1-1-111-1
χ161111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111111-1-1-1-11111-111-1-1-1111-1-1-1-1111-1-11
χ17222222-2-2222222-2-2-2-222-222200-222-2-2-2-2-2000022-2-202-2-222-2-200000000000000-2002000022-2-2000000-20002000000000000
χ18222222-2-2222222-2-2-2-222-222200-222-2-2-2-2-20000-2-22202-2-222-2-200000000000000200-20000-2-2220000002000-2000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-2000022-2-20-222-2-22200000000000000200-2000022-2-20000002000-2000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-20000-2-2220-222-2-22200000000000000-20020000-2-222000000-20002000000000000
χ2122222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10220220000000000220-1-100-1-1000000-1-100
χ2222222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000-2-201100110000001100
χ2322222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110220220000000000-2-20-1-100-1-10000001100
χ2422222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110-2-20-2-20000000000220110011000000-1-100
χ2522222-122-1222-1-12222-1-2-2-1-1-122-111-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110220-2-20000000000-220-1-10011000000-1100
χ2622222-122-1222-1-12222-1-2-2-1-1-122-111-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110-2-202200000000002-201100-1-10000001-100
χ2722222-122-1222-1-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10220-2-200000000002-20-1-100110000001-100
χ2822222-122-1222-1-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10-2-20220000000000-2201100-1-1000000-1100
χ292222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-122222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-120020022-1-1-1-1-1-1-1-100-1002-100-1-100000000
χ302222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200-200-2-21111111100100-21001100000000
χ312222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-111112222-2-1-12-1-1-1-111-2-21111-2-21111200200-2-2-1-1-1-1111100-100-2-1001100000000
χ322222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-2-2-1-12-1-1-1-111-2-21111-2-21111-200-200221111-1-1-1-1001002100-1-100000000
χ332222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-12222-211-211111122-1-1-1-1-2-21111-200-20022-1-1-1-1-1-1-1-100100-21001100000000
χ342222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2-2-2-211-211111122-1-1-1-1-2-21111200200-2-21111111100-1002-100-1-100000000
χ352222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-111112222211-21111-1-1-2-2111122-1-1-1-1-200-200-2-2-1-1-1-11111001002100-1-100000000
χ362222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-2-2-2211-21111-1-1-2-2111122-1-1-1-1200200221111-1-1-1-100-100-2-1001100000000
χ372222-12-2-22-1-1-1221111-12-2-1-1-100-22211-21133−3−322-2-20-11-2-1-1113−30033−3−30033−3−3-20020000-1-11133−3−3001000-1003−300000000
χ382222-12-2-22-1-1-1221111-12-2-1-1-100-22211-21133−3−3-2-2220-11-2-1-1113−30033−3−30033−3−3200-2000011-1-1−3−33300-1000100−3300000000
χ392222-12-2-22-1-1-1221111-12-2-1-1-100-22211-211−3−33322-2-20-11-2-1-111−3300−3−33300−3−333-20020000-1-111−3−333001000-100−3300000000
χ402222-12-2-22-1-1-1221111-12-2-1-1-100-22211-211−3−333-2-2220-11-2-1-111−3300−3−33300−3−333200-2000011-1-133−3−300-10001003−300000000
χ412222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-21133−3−322-2-201-1211-1-1−330033−3−300−3−333200-20000-1-11133−3−300-1000100−3300000000
χ422222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-21133−3−3-2-22201-1211-1-1−330033−3−300−3−333-2002000011-1-1−3−333001000-1003−300000000
χ432222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-211−3−33322-2-201-1211-1-13−300−3−3330033−3−3200-20000-1-111−3−33300-10001003−300000000
χ442222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-211−3−333-2-22201-1211-1-13−300−3−3330033−3−3-2002000011-1-133−3−3001000-100−3300000000
χ4522-2-2222-222-2-2-2-222-2-22002-2-200-200-2-222200002i−2i2i−2i000000000000000000000000002i−2i002i−2i2i−2i000000000002i−2i002-2000000
χ4622-2-2222-222-2-2-2-222-2-22002-2-200-200-2-222200002i−2i2i−2i00000000000000000000000000−2i2i002i−2i2i−2i00000000000−2i2i00-22000000
χ4722-2-2222-222-2-2-2-222-2-22002-2-200-200-2-22220000−2i2i−2i2i000000000000000000000000002i−2i00−2i2i−2i2i000000000002i−2i00-22000000
χ4822-2-2222-222-2-2-2-222-2-22002-2-200-200-2-22220000−2i2i−2i2i00000000000000000000000000−2i2i00−2i2i−2i2i00000000000−2i2i002-2000000
χ4922-2-222-2222-2-2-2-2-2-2222002-2-20020022-2-2-200002i−2i−2i2i000000000000000000000002-2000002i−2i−2i2i00000002-2000000002i−2i0000
χ5022-2-222-2222-2-2-2-2-2-2222002-2-20020022-2-2-200002i−2i−2i2i00000000000000000000000-22000002i−2i−2i2i0000000-2200000000−2i2i0000
χ5122-2-222-2222-2-2-2-2-2-2222002-2-20020022-2-2-20000−2i2i2i−2i000000000000000000000002-200000−2i2i2i−2i00000002-200000000−2i2i0000
χ5222-2-222-2222-2-2-2-2-2-2222002-2-20020022-2-2-20000−2i2i2i−2i00000000000000000000000-2200000−2i2i2i−2i0000000-22000000002i−2i0000
χ5344444-2-4-4-2444-2-2-4-4-4-4-24-4-2-2-2002-2-2222220000000004-42-2-2220000000000000000000000000000000000000000000000000
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
χ574444-2-244-2-2-2-2-2-2-2-2-2-21-4-411144-22211-211-2-2-2-20000-4222-1-1-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-4-22211-211222200004222-1-1-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222214-4111002-2-2-1-12-1-12323−23−2300000-22211-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222214-4111002-2-2-1-12-1-1−23−23232300000-22211-1-1−23230033−3−30033−3−300000000000000000000000000000000000
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
χ6344-4-44-24-4-24-4-42244-4-4-200-2220020022-2-2-200000000000000000000000000000000004i−4i00000000000000000−2i2i0000000000
χ6444-4-44-24-4-24-4-42244-4-4-200-2220020022-2-2-20000000000000000000000000000000000−4i4i000000000000000002i−2i0000000000
χ6544-4-44-2-44-24-4-422-4-444-200-22200-200-2-222200000000000000000000000000000004-40000000000000000-2200000000000000
χ6644-4-44-2-44-24-4-422-4-444-200-22200-200-2-22220000000000000000000000000000000-4400000000000000002-200000000000000
χ6744-4-4-244-44-222-4-4-2-222-200-22200-400224-2-200004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000
χ6844-4-4-244-44-222-4-4-2-222-200-22200-400224-2-20000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000
χ6944-4-4-24-444-222-4-422-2-2-200-22200400-2-2-42200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ7044-4-4-24-444-222-4-422-2-2-200-22200400-2-2-4220000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ714-44-44400-4-44-4-440000400-44-4000000000000000000000000000000000000000000000022−22000022−2222−220000000000000000000
χ724-44-44400-4-44-4-440000400-44-40000000000000000000000000000000000000000000000−22220000−2222−22220000000000000000000
χ734-44-4-2400-42-22-4423−2323−23-2002-220000023−23023−2300000000000000000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ744-44-4-2400-42-22-4423−2323−23-2002-220000023−23023−23000000000000000000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ754-44-4-2400-42-22-44−2323−2323-2002-2200000−23230−232300000000000000000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ764-44-4-2400-42-22-44−2323−2323-2002-2200000−23230−2323000000000000000000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
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
χ794-4-444-2002-4-44-220000-20022-222−22023−230000022−2222−220000000023−230000−22−22−226−66−66−600000000000000000000000000000000000
χ804-4-444-2002-4-44-220000-20022-222−220−23230000022−2222−2200000000−23230000−22−22−22−66−66−6600000000000000000000000000000000000
χ814-4-444-2002-4-44-220000-20022-2−2222023−2300000−2222−22220000000023−2300002−22−22−2−66−66−6600000000000000000000000000000000000
χ824-4-444-2002-4-44-220000-20022-2−22220−232300000−2222−222200000000−232300002−22−22−26−66−66−600000000000000000000000000000000000
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
χ874-4-44-2-200222-2-2223−23−2323100-1-1122−22023−233−30−332ζ13−2ζ23−2ζ13+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
χ884-4-44-2-200222-2-2223−23−2323100-1-1122−220−23233−30−332ζ13−2ζ23−2ζ13+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
χ894-4-44-2-200222-2-2223−23−2323100-1-11−2222023−233−30−33−2ζ13+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
χ904-4-44-2-200222-2-2223−23−2323100-1-11−22220−23233−30−33−2ζ13+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
χ914-4-44-2-200222-2-22−232323−23100-1-1122−22023−23−3303−32ζ5−2ζ7−2ζ5+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
χ924-4-44-2-200222-2-22−232323−23100-1-1122−220−2323−3303−32ζ5−2ζ7−2ζ5+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
χ934-4-44-2-200222-2-22−232323−23100-1-11−2222023−23−3303−3−2ζ5+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
χ944-4-44-2-200222-2-22−232323−23100-1-11−22220−2323−3303−3−2ζ5+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
χ9588-8-8-4-48-8-4-44444-4-4442002-2-200400-2-2-42200000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-88-4-4444444-4-42002-2-200-400224-2-200000000000000000000000000000000000000000000000000000000000000000
χ978-88-88-4004-88-84-40000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40044-444-443−4343−43200-22-200000−23230−232300000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40044-444-4−4343−4343200-22-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000000

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