Finite Group Databasebeta

← Group #11864511

Character table — Group #11864511

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order12223344666666121212122346666688121212121212242424242244666812121212242424242424242424242424242424444466881212242424244468121212121224242244121244
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
χ511111111111111111111111111-1-1111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11-111111-1-11111-1-1-1-1
χ611111111111111111111111111-1-1111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-11-1111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1-1-1-1-111111111-1-1
χ9111111111111111111-11-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-111-1-1-1-111-1-11-11-1
χ10111111111111111111-11-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-111-11-11
χ11111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111-1-11
χ12111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1
χ13111111111111111111-11-1-1-1111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-11-11-111-1-11111-1-1-11-11
χ14111111111111111111-11-1-1-1111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11-1-11-1-1-11111-1-1111-11-1
χ15111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-111-1111-1-1-1-1-1-111-111-1
χ16111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111-1-111111-11-11-1-111-1-111-1-11-1-11
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-2000022-2-22220-2-2-2-200000000000000-2200002200-2-2000000-20200000000000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000-2-2222220-2-2-2-2000000000000002-20000-2-2002200000020-200000000000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-2000022-2-2-2-2-202222000000000000002-200002200-2-200000020-200000000000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-20000-2-222-2-2-20222200000000000000-220000-2-20022000000-20200000000000000
χ2122222-1222-1-12-12-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-12222-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1220000-1-122-1-1-1-1-1-100-12-10000-1-100000000
χ2222222-1222-1-12-12-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-2-2000011-2-2111111001-2100001100000000
χ2322222-1222-1-12-12-1-1-1-12-1222-1-1-1-2-222-1-1-1-111112222-1-1-1-2-12-1-111-2-21111-2-21111220000-1-1-2-2-1-1111100-1-2-100001100000000
χ2422222-1222-1-12-12-1-1-1-12-1222-1-1-1-2-222-1-1-1-11111-2-2-2-2-1-1-1-2-12-1-111-2-21111-2-21111-2-20000112211-1-1-1-1001210000-1-100000000
χ2522222-1222-1-12-12-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-12222111-21-2111122-1-1-1-1-2-21111-2-20000-1-122-1-1-1-1-1-1001-2100001100000000
χ2622222-1222-1-12-12-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111-21-2111122-1-1-1-1-2-2111122000011-2-211111100-12-10000-1-100000000
χ2722222-1222-1-12-12-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111222211121-211-1-1-2-2111122-1-1-1-1-2-20000-1-1-2-2-1-11111001210000-1-100000000
χ2822222-1222-1-12-12-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111-2-2-2-211121-211-1-1-2-2111122-1-1-1-1220000112211-1-1-1-100-1-2-100001100000000
χ2922222-1-2-22-1-12-1211112-1-222-1-1-100-2-2111133−3−322-2-2-1-1-101-2113−30033−3−30033−3−3-220000-1-1001133−3−30010-100003−300000000
χ3022222-1-2-22-1-12-1211112-1-222-1-1-100-2-2111133−3−3-2-222-1-1-101-2113−30033−3−30033−3−32-200001100-1-1−3−33300-1010000−3300000000
χ3122222-1-2-22-1-12-1211112-1-222-1-1-100-2-21111−3−33322-2-2-1-1-101-211−3300−3−33300−3−333-220000-1-10011−3−3330010-10000−3300000000
χ3222222-1-2-22-1-12-1211112-1-222-1-1-100-2-21111−3−333-2-222-1-1-101-211−3300−3−33300−3−3332-200001100-1-133−3−300-10100003−300000000
χ3322222-1-2-22-1-12-121111-2-12-2-2-1-1-100-2-2111133−3−322-2-21110-12-1-1−330033−3−300−3−3332-20000-1-1001133−3−300-1010000−3300000000
χ3422222-1-2-22-1-12-121111-2-12-2-2-1-1-100-2-2111133−3−3-2-2221110-12-1-1−330033−3−300−3−333-2200001100-1-1−3−3330010-100003−300000000
χ3522222-1-2-22-1-12-121111-2-12-2-2-1-1-100-2-21111−3−33322-2-21110-12-1-13−300−3−3330033−3−32-20000-1-10011−3−33300-10100003−300000000
χ3622222-1-2-22-1-12-121111-2-12-2-2-1-1-100-2-21111−3−333-2-2221110-12-1-13−300−3−3330033−3−3-2200001100-1-133−3−30010-10000−3300000000
χ372222-1222-122-12-122222-12-1-1-1-1-122-1-1-1-1-1-1222200002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022000-1-1-1-1000000-1-100
χ382222-1222-122-12-122222-12-1-1-1-1-122-1-1-1-1-1-1222200002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200011110000001100
χ392222-1222-122-12-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200002-1-1-22-1-1-1-2-21111111111110022220000000000-2-2000-1-1-1-10000001100
χ402222-1222-122-12-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200002-1-1-22-1-1-1-2-211111111111100-2-2-2-20000000000220001111000000-1-100
χ412222-1222-122-12-12222-2-1-211-1-1-122-1-1-1-1-1-122220000-211-2-2111-2-2-1-1-1-1-1-11111110022-2-200000000002-2000-1-111000000-1100
χ422222-1222-122-12-12222-2-1-211-1-1-122-1-1-1-1-1-122220000-211-2-2111-2-2-1-1-1-1-1-111111100-2-2220000000000-2200011-1-10000001-100
χ432222-1222-122-12-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-20000-2112-211122111111-1-1-1-1-1-10022-2-20000000000-22000-1-1110000001-100
χ442222-1222-122-12-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-20000-2112-211122111111-1-1-1-1-1-100-2-22200000000002-200011-1-1000000-1100
χ452-2-22222-2-2-2-2-22222-2-202000-2-22002-222-2-200002-22-2000000000000000000000000002-22-2002-2000000000002-200002-20000
χ462-2-22222-2-2-2-2-22222-2-202000-2-22002-222-2-200002-22-200000000000000000000000000-222-2002-200000000000-220000-220000
χ472-2-22222-2-2-2-2-22222-2-202000-2-22002-222-2-20000-22-22000000000000000000000000002-2-2200-22000000000002-20000-220000
χ482-2-22222-2-2-2-2-22222-2-202000-2-22002-222-2-20000-22-2200000000000000000000000000-22-2200-2200000000000-2200002-20000
χ492-2-2222-22-2-2-2-222-2-22202000-2-2200-22-2-22200002-2-220000000000000000000000002-2002-200-220000000002-200002-2000000
χ502-2-2222-22-2-2-2-222-2-22202000-2-2200-22-2-22200002-2-22000000000000000000000000-22002-200-22000000000-220000-22000000
χ512-2-2222-22-2-2-2-222-2-22202000-2-2200-22-2-2220000-222-20000000000000000000000002-200-22002-20000000002-20000-22000000
χ522-2-2222-22-2-2-2-222-2-22202000-2-2200-22-2-2220000-222-2000000000000000000000000-2200-22002-2000000000-2200002-2000000
χ534444-24-4-4-244-24-2-4-4-4-44-2-4-2-2-2-2-200222222000000004-2-20-42220000000000000000000000000000000000000000000000000
χ544444-24-4-4-244-24-2-4-4-4-4-4-2422-2-2-20022222200000000-42204-2-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-2414-2-211144-2-21111-2-2-2-20000-2114-2-211-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2414-2-2111-4-4-2-2111122220000-211-4-2-2112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-2-41-42211144-2-21111-2-2-2-200002-1-1-422-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-2-41-422111-4-4-2-21111222200002-1-1422-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-12323−23−230000-211022-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-1−23−2323230000-211022-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-12323−23−2300002-1-10-2-211−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-1−23−23232300002-1-10-2-21123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-44400-44-44-4-40000040004-4-4000000000000000000000000000000000000000000000022−220022−2222−220000000000000000000
χ6444-4-44400-44-44-4-40000040004-4-40000000000000000000000000000000000000000000000−222200−2222−22220000000000000000000
χ6544-4-44-200-4-2242-423−2323−230-2000-222000023−2323−230000000000000000000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ6644-4-44-200-4-2242-423−2323−230-2000-222000023−2323−2300000000000000000000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ6744-4-44-200-4-2242-4−2323−23230-2000-2220000−2323−23230000000000000000000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ6844-4-44-200-4-2242-4−2323−23230-2000-2220000−2323−232300000000000000000000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
χ694-44-444004-44-4-4-4000004000-44-422−2200000022−2222−220000000000000022−2222−2222−2200000000000000000000000000000000000000000
χ704-44-444004-44-4-4-4000004000-44-4−2222000000−2222−222200000000000000−2222−2222−222200000000000000000000000000000000000000000
χ714-44-44-20042-2-42-423−23−23230-20002-2222−220023−23−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000
χ724-44-44-20042-2-42-423−23−23230-20002-22−22220023−23−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000
χ734-44-44-20042-2-42-4−232323−230-20002-2222−2200−232323−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000
χ744-44-44-20042-2-42-4−232323−230-20002-22−222200−232323−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000
χ754-44-4-2400-2-442-4200000-20−2i32i32-2222−2200000022−2222−2200000−2i32i30000000−22−22−22i6−i6i6−i6i6−i600000000000000000000000000000000000
χ764-44-4-2400-2-442-4200000-20−2i32i32-22−2222000000−2222−222200000−2i32i300000002−22−22−2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ774-44-4-2400-2-442-4200000-202i3−2i32-2222−2200000022−2222−22000002i3−2i30000000−22−22−22−i6i6−i6i6−i6i600000000000000000000000000000000000
χ784-44-4-2400-2-442-4200000-202i3−2i32-22−2222000000−2222−2222000002i3−2i300000002−22−22−2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ794-44-4-2-200-22-222223−23−2323010−2i32i3-11-122−2200−333−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000i3−i30003i−3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ804-44-4-2-200-22-222223−23−2323010−2i32i3-11-1−222200−333−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000i3−i30003i−3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ814-44-4-2-200-22-222223−23−23230102i3−2i3-11-122−2200−333−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000−i3i3000−3i3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ824-44-4-2-200-22-222223−23−23230102i3−2i3-11-1−222200−333−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000−i3i3000−3i3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ834-44-4-2-200-22-2222−232323−23010−2i32i3-11-122−22003−3−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000i3−i3000−3i3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ844-44-4-2-200-22-2222−232323−23010−2i32i3-11-1−2222003−3−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000i3−i3000−3i3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ854-44-4-2-200-22-2222−232323−230102i3−2i3-11-122−22003−3−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000−i3i30003i−3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ864-44-4-2-200-22-2222−232323−230102i3−2i3-11-1−2222003−3−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000−i3i30003i−3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ874-4-444-24-4-422-4-24-2-2220-200022-2004-4-2-22200004-44-40000000000000000000000000000-2200-2200000000000000000000000
χ884-4-444-24-4-422-4-24-2-2220-200022-2004-4-2-2220000-44-4400000000000000000000000000002-2002-200000000000000000000000
χ894-4-444-2-44-422-4-2422-2-20-200022-200-4422-2-200004-4-440000000000000000000000000000-22002-200000000000000000000000
χ904-4-444-2-44-422-4-2422-2-20-200022-200-4422-2-20000-444-400000000000000000000000000002-200-2200000000000000000000000
χ914-4-44-244-42-4-424-244-4-40-200022-200-22-2-22200000000000000000000000000000000004-400000000000000000-220000000000
χ924-4-44-244-42-4-424-244-4-40-200022-200-22-2-2220000000000000000000000000000000000-44000000000000000002-20000000000
χ934-4-44-24-442-4-424-2-4-4440-200022-2002-222-2-2000000000000000000000000000000004-400000000000000000-22000000000000
χ944-4-44-24-442-4-424-2-4-4440-200022-2002-222-2-200000000000000000000000000000000-44000000000000000002-2000000000000
χ9588-8-8-480048-8-4-8400000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4004-44-44443−4343−43020002-2-20000−2323−232300000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4004-44-444−4343−4343020002-2-2000023−2323−2300000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-84444-4-4-4-44402000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-884444-4-444-4-402000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000000

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