Finite Group Databasebeta

← Group #11884628

Character table — Group #11884628

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444444466888888888888888888888881212121212121212121212121224242424242424242436363636484848487272
order122233446666661212121234466688121212121212242424244481212121212121212242424242424242424242424242422466881212242424242444681224242244612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-11-11-1-1-1-11111-1-11-1
χ6111111111111111111111111-1-1111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111-11-1-111-1-1-1-111-11
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11-11111-1-111-1-1-11
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-111-1-111-1-1111-1
χ91111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111111111111-11-1-1-1-1-1-111111-11-1-1-1
χ101111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-11-1111
χ111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111111-1-1-1-11-11-111
χ121111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11111111111-11-11-1-1
χ131111111111111111111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-11-1-11-11-111-1-1111-1-11-11
χ141111111111111111111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-111-1-11-11111-1-1-111-11-1
χ151111111111111111111-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-111-1-111111-1-111-11-1-111-1-11-1-111-1
χ161111111111111111111-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-111-1-11111-111-11-11-1-1-1-111-111-1-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2000022022-2-222-2-200000000000000-22-2-2-200220000000020-2000000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-20000-2-2022-2-222-2-2000000000000002-222200-2-200000000-202000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-20000220-2-222-2-22200000000000000-2-22-2-2002200000000-202000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-20000-2-20-2-222-2-2220000000000000022-22200-2-20000000020-2000000000000
χ2122222-12222-1-12-12222-122-1-1-122-1-1-1-1-1-122220022-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000002222000000000-1-1-1-100
χ2222222-12222-1-12-12222-122-1-1-122-1-1-1-1-1-122220022-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2-2-2000000000111100
χ2322222-12222-1-12-12222-122-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-22-12-1-1-1-1-1-2-2111111111111000000000000022-2-2000000000-1-11100
χ2422222-12222-1-12-12222-122-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-22-12-1-1-1-1-1-2-21111111111110000000000000-2-22200000000011-1-100
χ2522222-12222-1-12-12222-1-2-2-1-1-122-1-1-1-1-1-1222200-2-21-211111-2-2-1-1-1-1-1-111111100000000000002-22-2000000000-11-1100
χ2622222-12222-1-12-12222-1-2-2-1-1-122-1-1-1-1-1-1222200-2-21-211111-2-2-1-1-1-1-1-11111110000000000000-22-220000000001-11-100
χ2722222-12222-1-12-12222-1-2-2-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-21-21111122111111-1-1-1-1-1-100000000000002-2-22000000000-111-100
χ2822222-12222-1-12-12222-1-2-2-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-21-21111122111111-1-1-1-1-1-10000000000000-222-20000000001-1-1100
χ292222-1222-1-122-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1222-12-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-10000-12-1-1-10000000000
χ302222-1222-1-122-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-22-12-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-211-2-211111100001-21110000000000
χ312222-1222-1-122-12-1-1-1-1-122-1-1-1-2-222-1-1-1-1111122-2-12-12-1-1-1-111-2-21111-2-21111222-1-1-2-2-1-111110000-1-2-1110000000000
χ322222-1222-1-122-12-1-1-1-1-122-1-1-1-2-222-1-1-1-11111-2-2-2-12-12-1-1-1-111-2-21111-2-21111-2-2-2112211-1-1-1-10000121-1-10000000000
χ332222-1222-1-122-12-1-1-1-1-1-2-2-1-1-12222-1-1-1-1-1-1-1-122-21-21-211111122-1-1-1-1-2-211112-2-2-1-122-1-1-1-1-1-100001-21110000000000
χ342222-1222-1-122-12-1-1-1-1-1-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2-21-21-211111122-1-1-1-1-2-21111-22211-2-21111110000-12-1-1-10000000000
χ352222-1222-1-122-12-1-1-1-1-1-2-2-1-1-1-2-222-1-1-1-111112221-21-21111-1-1-2-2111122-1-1-1-12-2-2-1-1-2-2-1-111110000121-1-10000000000
χ362222-1222-1-122-12-1-1-1-1-1-2-2-1-1-1-2-222-1-1-1-11111-2-221-21-21111-1-1-2-2111122-1-1-1-1-222112211-1-1-1-10000-1-2-1110000000000
χ372222-12-2-2-1-122-121111-12-2-1-1-100-2-2111133−3−3220-121-2-1-1113−30033−3−30033−3−3-22-21100-1-133−3−30000-1013−30000000000
χ382222-12-2-2-1-122-121111-12-2-1-1-100-2-2111133−3−3-2-20-121-2-1-1113−30033−3−30033−3−32-22-1-10011−3−333000010-1−330000000000
χ392222-12-2-2-1-122-121111-12-2-1-1-100-2-21111−3−333220-121-2-1-111−3300−3−33300−3−333-22-21100-1-1−3−3330000-101−330000000000
χ402222-12-2-2-1-122-121111-12-2-1-1-100-2-21111−3−333-2-20-121-2-1-111−3300−3−33300−3−3332-22-1-1001133−3−3000010-13−30000000000
χ412222-12-2-2-1-122-121111-1-22-1-1-100-2-2111133−3−32201-2-1211-1-1−330033−3−300−3−333-2-221100-1-133−3−3000010-1−330000000000
χ422222-12-2-2-1-122-121111-1-22-1-1-100-2-2111133−3−3-2-201-2-1211-1-1−330033−3−300−3−33322-2-1-10011−3−3330000-1013−30000000000
χ432222-12-2-2-1-122-121111-1-22-1-1-100-2-21111−3−3332201-2-1211-1-13−300−3−3330033−3−3-2-221100-1-1−3−333000010-13−30000000000
χ442222-12-2-2-1-122-121111-1-22-1-1-100-2-21111−3−333-2-201-2-1211-1-13−300−3−3330033−3−322-2-1-1001133−3−30000-101−330000000000
χ452-2-2222-22-2-2-2-222-2-2222002-2-22-22-222-2-22-22-200000000000002-22-22-200000000000000000000000000002-22-2000000
χ462-2-2222-22-2-2-2-222-2-2222002-2-22-22-222-2-22-22-200000000000002-22-22-20000000000000000000000000000-22-22000000
χ472-2-2222-22-2-2-2-222-2-2222002-2-2-222-222-2-2-22-220000000000000-22-22-2200000000000000000000000000002-2-22000000
χ482-2-2222-22-2-2-2-222-2-2222002-2-2-222-222-2-2-22-220000000000000-22-22-220000000000000000000000000000-222-2000000
χ4944444-2-4-444-2-24-2-4-4-4-4-24-4-2-2-20022222200000004-2-42-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-444-2-24-2-4-4-4-4-2-44-2-2-2002222220000000-424-222-2-20000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-21111-2-2-2-2004-2-2-2-21111-2-2-2-21111-2-2111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-21111222200-4-2-2-2-211112222-1-1-1-122-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-21-4-411144-2-21111-2-2-2-200-42222-1-1-1-122-2-2111122-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-4-2-2111122220042222-1-1-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222214-41110022-1-1-1-12323−23−23000-2-22211-1-123−2300−3−33300−3−33300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222214-41110022-1-1-1-1−23−232323000-2-22211-1-1−23230033−3−30033−3−300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-222221-441110022-1-1-1-12323−23−2300022-2-2-1-111−232300−3−3330033−3−300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-222221-441110022-1-1-1-1−23−23232300022-2-2-1-11123−230033−3−300−3−33300000000000000000000000000000000
χ5944-4-444004-44-4-4-40000400-44-400000000000000000000000000000000000000000022−220022−2222−220000000000000000000
χ6044-4-444004-44-4-4-40000400-44-4000000000000000000000000000000000000000000−222200−2222−22220000000000000000000
χ6144-4-4-2400-224-42-423−2323−23-2002-22000023−2323−23000000000000000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ6244-4-4-2400-224-42-423−2323−23-2002-22000023−2323−230000000000000000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
χ6344-4-4-2400-224-42-4−2323−2323-2002-220000−2323−2323000000000000000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ6444-4-4-2400-224-42-4−2323−2323-2002-220000−2323−23230000000000000000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ654-44-44400-44-44-4-40000400-4-440000000000004i−4i0000000000000000000000000000004i−4i00000000000000000000000
χ664-44-44400-44-44-4-40000400-4-44000000000000−4i4i000000000000000000000000000000−4i4i00000000000000000000000
χ674-44-4-24002-2-442-423−23−2323-20022-20000−232323−2300004i−4i00000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ684-44-4-24002-2-442-423−23−2323-20022-20000−232323−230000−4i4i000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ694-44-4-24002-2-442-4−232323−23-20022-2000023−23−232300004i−4i000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ704-44-4-24002-2-442-4−232323−23-20022-2000023−23−23230000−4i4i00000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ714-4-44444-4-4-4-4-44444-4-44004-4-400-44-4-4440000000000000000000000000000000000000000000000000000000000000
χ724-4-444-24-4-4-4224-244-4-4-200-222002-222-2-200000000000000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000
χ734-4-444-24-4-4-4224-244-4-4-200-222002-222-2-2000000000000000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000
χ744-4-444-2-44-4-4224-2-4-444-200-2224-4-22-2-2224-44-40000000000000-22-22-2200000000000000000000000000000000000000
χ754-4-444-2-44-4-4224-2-4-444-200-222-44-22-2-222-44-4400000000000002-22-22-200000000000000000000000000000000000000
χ764-4-44-244-422-4-4-24-2-222-200-22200-4422-2-223−23−232300000000000000023−23−232300000000000000000000000000000000000000
χ774-4-44-244-422-4-4-24-2-222-200-22200-4422-2-2−232323−23000000000000000−232323−2300000000000000000000000000000000000000
χ784-4-44-24-4422-4-4-2422-2-2-200-2224-44-4-2-222-22-2200000000000004-4-22-2200000000000000000000000000000000000000
χ794-4-44-24-4422-4-4-2422-2-2-200-222-444-4-2-2222-22-20000000000000-442-22-200000000000000000000000000000000000000
χ804-4-44-2-24-42222-2-2-2-2221001-1-1002-2-1-11123−23−232300000003i−3i3i−3i0000−333−3−2i32i3i3−i3i3−i300000000000000000000000000000000
χ814-4-44-2-24-42222-2-2-2-2221001-1-1002-2-1-11123−23−23230000000−3i3i−3i3i0000−333−32i3−2i3−i3i3−i3i300000000000000000000000000000000
χ824-4-44-2-24-42222-2-2-2-2221001-1-1002-2-1-111−232323−2300000003i−3i3i−3i00003−3−332i3−2i3−i3i3−i3i300000000000000000000000000000000
χ834-4-44-2-24-42222-2-2-2-2221001-1-1002-2-1-111−232323−230000000−3i3i−3i3i00003−3−33−2i32i3i3−i3i3−i300000000000000000000000000000000
χ844-4-44-2-2-442222-2-222-2-21001-1-14-4-2211-1-1-22-2200000003i−3i−3i3i00-221-11-1003i−3i−3i3i00000000000000000000000000000000
χ854-4-44-2-2-442222-2-222-2-21001-1-14-4-2211-1-1-22-220000000−3i3i3i−3i00-221-11-100−3i3i3i−3i00000000000000000000000000000000
χ864-4-44-2-2-442222-2-222-2-21001-1-1-44-2211-1-12-22-200000003i−3i−3i3i002-2-11-1100−3i3i3i−3i00000000000000000000000000000000
χ874-4-44-2-2-442222-2-222-2-21001-1-1-44-2211-1-12-22-20000000−3i3i3i−3i002-2-11-11003i−3i−3i3i00000000000000000000000000000000
χ8888-8-88-4008-8-44-840000-4004-44000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44-444443−4343−43200-22-20000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44-4444−4343−4343200-22-2000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ918-88-88-400-884-4-840000-40044-4000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4004-44-44443−43−4343200-2-22000023−23−23230000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-44-444−434343−43200-2-220000−232323−230000000000000000000000000000000000000000000000000000000000000

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