Finite Group Databasebeta

← Group #11889132

Character table — Group #11889132

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444444466888888888888888888888881212121212121212121212121224242424242424242436363636484848487272
order12223344666666121212123446668812121212121224242424228121212121212121224242424242424242424242424242446688121224242424224468122424224466121244
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
χ5111111111111111111111111-1-1111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-11-11-1-111-1-111-1-1-11
χ6111111111111111111111111-1-1111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111-11-1-1-1-111-1-1111-1
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11-111-1-11111-1-11-1
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-11111-1-1-1-111-11
χ91111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111111111111-11-1-1-1-1-1-1-1-1-1-11-11-111
χ101111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11111111111-11-11-1-1-1-1-11111-11-11-1-1
χ111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11-11-11111111111-11-1-1-1
χ121111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-11-1111
χ131111111111111111111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-11-1-11-11-111-1-1111-1-11-11
χ141111111111111111111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-111-1-11-11111-1-1-111-11-1
χ151111111111111111111-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-11-1-111-1-111111-1-111-11-1-111-1-11-1-111-1
χ161111111111111111111-1-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-11-1-111-1-11111-111-11-11-1-1-1-111-111-1-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-200002202-22-222-2-200000000000000-2-222200-2-200000000-202000000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-20000-2-202-22-222-2-20000000000000022-2-2-200220000000020-2000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-20000220-22-22-2-222000000000000002-2-22200-2-20000000020-2000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-20000-2-20-22-22-2-22200000000000000-222-2-2002200000000-202000000000000
χ2122222-12222-12-1-12222-122-1-1-122-1-1-1-1-1-1222200222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000002222000000000-1-1-1-100
χ2222222-12222-12-1-12222-122-1-1-122-1-1-1-1-1-1222200222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2-2-2000000000111100
χ2322222-12222-12-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-222-1-1-1-1-1-1-2-2111111111111000000000000022-2-2000000000-1-11100
χ2422222-12222-12-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-222-1-1-1-1-1-1-2-21111111111110000000000000-2-22200000000011-1-100
χ2522222-12222-12-1-12222-1-2-2-1-1-122-1-1-1-1-1-1222200-2-2-2111111-2-2-1-1-1-1-1-111111100000000000002-22-2000000000-11-1100
χ2622222-12222-12-1-12222-1-2-2-1-1-122-1-1-1-1-1-1222200-2-2-2111111-2-2-1-1-1-1-1-11111110000000000000-22-220000000001-11-100
χ2722222-12222-12-1-12222-1-2-2-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-2-211111122111111-1-1-1-1-1-100000000000002-2-22000000000-111-100
χ2822222-12222-12-1-12222-1-2-2-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-2-211111122111111-1-1-1-1-1-10000000000000-222-20000000001-1-1100
χ292222-1222-1-12-122-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-10000-12-1-1-10000000000
χ302222-1222-1-12-122-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-22-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-211-2-211111100001-21110000000000
χ312222-1222-1-12-122-1-1-1-1-122-1-1-1-2-222-1-1-1-1111122-2-1-122-1-1-1-111-2-21111-2-21111222-1-1-2-2-1-111110000-1-2-1110000000000
χ322222-1222-1-12-122-1-1-1-1-122-1-1-1-2-222-1-1-1-11111-2-2-2-1-122-1-1-1-111-2-21111-2-21111-2-2-2112211-1-1-1-10000121-1-10000000000
χ332222-1222-1-12-122-1-1-1-1-1-2-2-1-1-12222-1-1-1-1-1-1-1-122-211-2-211111122-1-1-1-1-2-21111-22-2-1-122-1-1-1-1-1-100001-21110000000000
χ342222-1222-1-12-122-1-1-1-1-1-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2-211-2-211111122-1-1-1-1-2-211112-2211-2-21111110000-12-1-1-10000000000
χ352222-1222-1-12-122-1-1-1-1-1-2-2-1-1-1-2-222-1-1-1-1111122211-2-21111-1-1-2-2111122-1-1-1-1-22-2-1-1-2-2-1-111110000121-1-10000000000
χ362222-1222-1-12-122-1-1-1-1-1-2-2-1-1-1-2-222-1-1-1-11111-2-2211-2-21111-1-1-2-2111122-1-1-1-12-22112211-1-1-1-10000-1-2-1110000000000
χ372222-12-2-2-1-12-1221111-12-2-1-1-100-2-2111133−3−3220-112-2-1-1113−30033−3−30033−3−3-2-22-1-1001133−3−3000010-13−30000000000
χ382222-12-2-2-1-12-1221111-12-2-1-1-100-2-2111133−3−3-2-20-112-2-1-1113−30033−3−30033−3−322-21100-1-1−3−3330000-101−330000000000
χ392222-12-2-2-1-12-1221111-12-2-1-1-100-2-21111−3−333220-112-2-1-111−3300−3−33300−3−333-2-22-1-10011−3−333000010-1−330000000000
χ402222-12-2-2-1-12-1221111-12-2-1-1-100-2-21111−3−333-2-20-112-2-1-111−3300−3−33300−3−33322-21100-1-133−3−30000-1013−30000000000
χ412222-12-2-2-1-12-1221111-1-22-1-1-100-2-2111133−3−32201-1-2211-1-1−330033−3−300−3−3332-2-2-1-1001133−3−30000-101−330000000000
χ422222-12-2-2-1-12-1221111-1-22-1-1-100-2-2111133−3−3-2-201-1-2211-1-1−330033−3−300−3−333-2221100-1-1−3−333000010-13−30000000000
χ432222-12-2-2-1-12-1221111-1-22-1-1-100-2-21111−3−3332201-1-2211-1-13−300−3−3330033−3−32-2-2-1-10011−3−3330000-1013−30000000000
χ442222-12-2-2-1-12-1221111-1-22-1-1-100-2-21111−3−333-2-201-1-2211-1-13−300−3−3330033−3−3-2221100-1-133−3−3000010-1−330000000000
χ452-22-2222-2-2-222-2-222-2-22002-2-22i−2i2-222-2-22i−2i2i−2i00000000000002i−2i2i−2i2i−2i00000000000000000000000000002-22i−2i000000
χ462-22-2222-2-2-222-2-222-2-22002-2-22i−2i2-222-2-22i−2i2i−2i00000000000002i−2i2i−2i2i−2i0000000000000000000000000000-22−2i2i000000
χ472-22-2222-2-2-222-2-222-2-22002-2-2−2i2i2-222-2-2−2i2i−2i2i0000000000000−2i2i−2i2i−2i2i00000000000000000000000000002-2−2i2i000000
χ482-22-2222-2-2-222-2-222-2-22002-2-2−2i2i2-222-2-2−2i2i−2i2i0000000000000−2i2i−2i2i−2i2i0000000000000000000000000000-222i−2i000000
χ4944444-2-4-444-24-2-2-4-4-4-4-24-4-2-2-20022222200000004-4-22-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-444-24-2-2-4-4-4-4-2-44-2-2-2002222220000000-442-222-2-20000000000000000000000000000000000000000000000
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
χ554444-2-2-4-4-2-2-2-2-2-2222214-41110022-1-1-1-12323−23−23000-22-2211-1-123−2300−3−33300−3−33300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222214-41110022-1-1-1-1−23−232323000-22-2211-1-1−23230033−3−30033−3−300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-222221-441110022-1-1-1-12323−23−230002-22-2-1-111−232300−3−3330033−3−300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-222221-441110022-1-1-1-1−23−2323230002-22-2-1-11123−230033−3−300−3−33300000000000000000000000000000000
χ5944-4-444004-4-4-44-40000400-44-4000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ6044-4-444004-4-4-44-40000400-44-40000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ6144-4-4-2400-22-424-423−2323−23-2002-22000023−2323−230000000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ6244-4-4-2400-22-424-423−2323−23-2002-22000023−2323−2300000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ6344-4-4-2400-22-424-4−2323−2323-2002-220000−2323−23230000000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ6444-4-4-2400-22-424-4−2323−2323-2002-220000−2323−232300000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ654-44-444-44-4-444-4-4-4-4444004-4-400-44-4-4440000000000000000000000000000000000000000000000000000000000000
χ664-44-44-24-4-4-4-242244-4-4-200-2224i−4i-22-2-2224i−4i4i−4i0000000000000−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ674-44-44-24-4-4-4-242244-4-4-200-222−4i4i-22-2-222−4i4i−4i4i00000000000002i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ684-44-44-2-44-4-4-2422-4-444-200-222002-222-2-20000000000000000000000023−2323−2323−2300000000000000000000000000000000
χ694-44-44-2-44-4-4-2422-4-444-200-222002-222-2-200000000000000000000000−2323−2323−232300000000000000000000000000000000
χ704-44-4-244-4224-2-4-4-2-222-200-2224i−4i4-4-2-222−2i2i−2i2i00000000000004i−4i−2i2i−2i2i00000000000000000000000000000000000000
χ714-44-4-244-4224-2-4-4-2-222-200-222−4i4i4-4-2-2222i−2i2i−2i0000000000000−4i4i2i−2i2i−2i00000000000000000000000000000000000000
χ724-44-4-24-44224-2-4-422-2-2-200-22200-4422-2-2−2i32i32i3−2i3000000000000000−2i32i32i3−2i300000000000000000000000000000000000000
χ734-44-4-24-44224-2-4-422-2-2-200-22200-4422-2-22i3−2i3−2i32i30000000000000002i3−2i3−2i32i300000000000000000000000000000000000000
χ744-44-4-2-24-422-2-222-2-2221001-1-14i−4i-2211-1-1−2i2i−2i2i00000003i−3i3i−3i00−2i2ii−ii−i003-3-3300000000000000000000000000000000
χ754-44-4-2-24-422-2-222-2-2221001-1-14i−4i-2211-1-1−2i2i−2i2i0000000−3i3i−3i3i00−2i2ii−ii−i00-333-300000000000000000000000000000000
χ764-44-4-2-24-422-2-222-2-2221001-1-1−4i4i-2211-1-12i−2i2i−2i00000003i−3i3i−3i002i−2i−ii−ii00-333-300000000000000000000000000000000
χ774-44-4-2-24-422-2-222-2-2221001-1-1−4i4i-2211-1-12i−2i2i−2i0000000−3i3i−3i3i002i−2i−ii−ii003-3-3300000000000000000000000000000000
χ784-44-4-2-2-4422-2-22222-2-21001-1-1002-2-1-111−2i32i32i3−2i300000003i−3i−3i3i0000i3−i3−i3i323−23−33−3300000000000000000000000000000000
χ794-44-4-2-2-4422-2-22222-2-21001-1-1002-2-1-111−2i32i32i3−2i30000000−3i3i3i−3i0000i3−i3−i3i3−23233−33−300000000000000000000000000000000
χ804-44-4-2-2-4422-2-22222-2-21001-1-1002-2-1-1112i3−2i3−2i32i300000003i−3i−3i3i0000−i3i3i3−i3−23233−33−300000000000000000000000000000000
χ814-44-4-2-2-4422-2-22222-2-21001-1-1002-2-1-1112i3−2i3−2i32i30000000−3i3i3i−3i0000−i3i3i3−i323−23−33−3300000000000000000000000000000000
χ824-4-444400-44-4-4-440000400-4-440000000000004-4000000000000000000000000004-4000000000000000000000000000
χ834-4-444400-44-4-4-440000400-4-44000000000000-4400000000000000000000000000-44000000000000000000000000000
χ844-4-44-24002-2-42-4423−23−2323-20022-2000023−23−232300004-400000000000000000000000000-220023−2300000000000000000000000
χ854-4-44-24002-2-42-4423−23−2323-20022-2000023−23−23230000-44000000000000000000000000002-200−232300000000000000000000000
χ864-4-44-24002-2-42-44−232323−23-20022-20000−232323−2300004-400000000000000000000000000-2200−232300000000000000000000000
χ874-4-44-24002-2-42-44−232323−23-20022-20000−232323−230000-44000000000000000000000000002-20023−2300000000000000000000000
χ8888-8-88-4008-84-8-440000-4004-44000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4444-4443−4343−43200-22-20000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4444-44−4343−4343200-22-2000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ918-8-888-400-884-84-40000-40044-4000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4444-443−43−4343200-2-220000−232323−230000000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4004-4444-4−434343−43200-2-22000023−23−23230000000000000000000000000000000000000000000000000000000000000

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