Finite Group Databasebeta

← Group #11884315

Character table — Group #11884315

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444444466888888888888888888888881212121212121212121212121224242424242424242436363636484848487272
order1222334466666612121212234666881212121212122424242444666681212121224242424242424242424242424242446688121224242424444481212242422221212121224
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
χ5111111111111111111111111-1-1111111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-11-1-111-1-111-1-11-11-11-1
χ6111111111111111111111111-1-1111111-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11-11-111-1-1-1-111-11-11-11
χ7111111111111111111111111-1-1111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-1-111-1-1111-11-1-11
χ8111111111111111111111111-1-1111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1-11111-1-1-11-111-1
χ9111111111111111111-11-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ10111111111111111111-11-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-11111-1-111-1-1
χ11111111111111111111-11-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-1
χ12111111111111111111-11-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111
χ13111111111111111111-11-1111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-11-1-111-1-111-1-1111-1-111-1
χ14111111111111111111-11-1111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-111-11-1-11111-1-1-111-1-11
χ15111111111111111111-11-1111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-111-1-111-1-111111-1-11-111-1-111-1-11-1-11-11
χ16111111111111111111-11-1111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-111-1-111-1-11111-111-1-111-1-1-1-111-111-11-1
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-200002222220-2-2-2-200000000000000-22-2-2-200220000000002-2000000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-20000-2-222220-2-2-2-2000000000000002-222200-2-2000000000-22000000000000
χ19222222-2-2222222-2-2-2-2-22222200-2-2-2-2-2-2000022-2-2-2-20222200000000000000-2-22-2-20022000000000-22000000000000
χ20222222-2-2222222-2-2-2-2-22222200-2-2-2-2-2-20000-2-2-2-2-2-2022220000000000000022-22200-2-20000000002-2000000000000
χ2122222-122-1-1-1222-1-1-1-12-12-1-1-1222-1-12-1-1-1-1-1-1222-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-100002-1-1-1-10000000000
χ2222222-122-1-1-1222-1-1-1-12-12-1-1-1222-1-12-1-1-1-1-1-1-2-22-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-2-2-211-2-21111110000-211110000000000
χ2322222-122-1-1-1222-1-1-1-12-12-1-1-1-2-22-1-12-1-11111222-1-1-1-2-12-1-111-2-21111-2-21111222-1-1-2-2-1-111110000-2-1-1110000000000
χ2422222-122-1-1-1222-1-1-1-12-12-1-1-1-2-22-1-12-1-11111-2-22-1-1-1-2-12-1-111-2-21111-2-21111-2-2-2112211-1-1-1-10000211-1-10000000000
χ2522222-122-1-1-1222-1-1-1-1-2-1-2-1-1-1222-1-12-1-1-1-1-1-122-2111-21-2111122-1-1-1-1-2-211112-2-2-1-122-1-1-1-1-1-10000-211110000000000
χ2622222-122-1-1-1222-1-1-1-1-2-1-2-1-1-1222-1-12-1-1-1-1-1-1-2-2-2111-21-2111122-1-1-1-1-2-21111-22211-2-211111100002-1-1-1-10000000000
χ2722222-122-1-1-1222-1-1-1-1-2-1-2-1-1-1-2-22-1-12-1-1111122-211121-211-1-1-2-2111122-1-1-1-12-2-2-1-1-2-2-1-111110000211-1-10000000000
χ2822222-122-1-1-1222-1-1-1-1-2-1-2-1-1-1-2-22-1-12-1-11111-2-2-211121-211-1-1-2-2111122-1-1-1-1-222112211-1-1-1-10000-2-1-1110000000000
χ2922222-1-2-2-1-1-122211112-1-2-1-1-100-211-21133−3−3222-1-1-101-2113−30033−3−30033−3−3-22-21100-1-133−3−300000-113−30000000000
χ3022222-1-2-2-1-1-122211112-1-2-1-1-100-211-21133−3−3-2-22-1-1-101-2113−30033−3−30033−3−32-22-1-10011−3−333000001-1−330000000000
χ3122222-1-2-2-1-1-122211112-1-2-1-1-100-211-211−3−333222-1-1-101-211−3300−3−33300−3−333-22-21100-1-1−3−33300000-11−330000000000
χ3222222-1-2-2-1-1-122211112-1-2-1-1-100-211-211−3−333-2-22-1-1-101-211−3300−3−33300−3−3332-22-1-1001133−3−3000001-13−30000000000
χ3322222-1-2-2-1-1-12221111-2-12-1-1-100-211-21133−3−322-21110-12-1-1−330033−3−300−3−333-2-221100-1-133−3−3000001-1−330000000000
χ3422222-1-2-2-1-1-12221111-2-12-1-1-100-211-21133−3−3-2-2-21110-12-1-1−330033−3−300−3−33322-2-1-10011−3−33300000-113−30000000000
χ3522222-1-2-2-1-1-12221111-2-12-1-1-100-211-211−3−33322-21110-12-1-13−300−3−3330033−3−3-2-221100-1-1−3−333000001-13−30000000000
χ3622222-1-2-2-1-1-12221111-2-12-1-1-100-211-211−3−333-2-2-21110-12-1-13−300−3−3330033−3−322-2-1-1001133−3−300000-11−330000000000
χ372222-1222222-1-1-122222-12-1-1-122-1-1-1-1-1-1222200-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000002222000000000-1-1-1-100
χ382222-1222222-1-1-122222-12-1-1-122-1-1-1-1-1-1222200-12-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2-2-2000000000111100
χ392222-1222222-1-1-122222-12-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-12-1-1-22-1-1-1-2-211111111111100000000000002-22-2000000000-11-1100
χ402222-1222222-1-1-122222-12-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-12-1-1-22-1-1-1-2-21111111111110000000000000-22-220000000001-11-100
χ412222-1222222-1-1-12222-2-1-2-1-1-122-1-1-1-1-1-12222001-211-2-2111-2-2-1-1-1-1-1-1111111000000000000022-2-2000000000-1-11100
χ422222-1222222-1-1-12222-2-1-2-1-1-122-1-1-1-1-1-12222001-211-2-2111-2-2-1-1-1-1-1-11111110000000000000-2-22200000000011-1-100
χ432222-1222222-1-1-12222-2-1-2-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2001-2112-211122111111-1-1-1-1-1-100000000000002-2-22000000000-111-100
χ442222-1222222-1-1-12222-2-1-2-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2001-2112-211122111111-1-1-1-1-1-10000000000000-222-20000000001-1-1100
χ452-2-2222-22-2-22-2-22-2-222020-2-222-2-2-2-22222-22-200000000000002-22-22-200000000000000000000000000002-22-2000000
χ462-2-2222-22-2-22-2-22-2-222020-2-222-2-2-2-22222-22-200000000000002-22-22-20000000000000000000000000000-22-22000000
χ472-2-2222-22-2-22-2-22-2-222020-2-22-22-2-2-2222-22-220000000000000-22-22-2200000000000000000000000000002-2-22000000
χ482-2-2222-22-2-22-2-22-2-222020-2-22-22-2-2-2222-22-220000000000000-22-22-220000000000000000000000000000-222-2000000
χ494444-24-4-4444-2-2-2-4-4-4-44-2-4-2-2-200222222000000-24-2-20-42220000000000000000000000000000000000000000000000
χ504444-24-4-4444-2-2-2-4-4-4-4-4-24-2-2-2002222220000002-42204-2-2-20000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-241411144-211-211-2-2-2-200-2-2114-2-211-2-2-2-21111-2-2111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2414111-4-4-211-211222200-2-211-4-2-2112222-1-1-1-122-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-2-41-411144-211-211-2-2-2-20022-1-1-422-1-122-2-2111122-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-2-41-4111-4-4-211-21122220022-1-1422-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222241-4111002-1-12-1-12323−23−2300-2-211022-1-123−2300−3−33300−3−33300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222241-4111002-1-12-1-1−23−23232300-2-211022-1-1−23230033−3−30033−3−300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-22222-414111002-1-12-1-12323−23−230022-1-10-2-211−232300−3−3330033−3−300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-22222-414111002-1-12-1-1−23−2323230022-1-10-2-21123−230033−3−300−3−33300000000000000000000000000000000
χ5944-4-444004-4-44-4-400000404-4-4000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ6044-4-444004-4-44-4-400000404-4-40000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ6144-4-44-200-2224-4-423−2323−230-20-22200023−23023−230000000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ6244-4-44-200-2224-4-423−2323−230-20-22200023−23023−2300000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ6344-4-44-200-2224-4-4−2323−23230-20-222000−23230−23230000000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ6444-4-44-200-2224-4-4−2323−23230-20-222000−23230−232300000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ654-44-44400-44-4-44-40000040-44-40000000000004i−4i0000000000000000000000000000004i−4i00000000000000000000000
χ664-44-44400-44-4-44-40000040-44-4000000000000−4i4i000000000000000000000000000000−4i4i00000000000000000000000
χ674-44-44-2002-22-44-423−23−23230-202-2200023−230−232300004i−4i00000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ684-44-44-2002-22-44-423−23−23230-202-2200023−230−23230000−4i4i000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ694-44-44-2002-22-44-4−232323−230-202-22000−2323023−2300004i−4i000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ704-44-44-2002-22-44-4−232323−230-202-22000−2323023−230000−4i4i00000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ714-4-44444-4-4-44-4-4444-4-4040-4-4400444-4-4-40000000000000000000000000000000000000000000000000000000000000
χ724-4-444-24-422-2-4-44-2-2220-2022-2004-2-2-42223−23−232300000000000000023−23−232300000000000000000000000000000000000000
χ734-4-444-24-422-2-4-44-2-2220-2022-2004-2-2-422−232323−23000000000000000−232323−2300000000000000000000000000000000000000
χ744-4-444-2-4422-2-4-4422-2-20-2022-24-4-4224-2-2-22-2200000000000004-4-22-2200000000000000000000000000000000000000
χ754-4-444-2-4422-2-4-4422-2-20-2022-2-44-4224-2-22-22-20000000000000-442-22-200000000000000000000000000000000000000
χ764-4-44-244-4-4-4422-244-4-40-2022-200-2-2-22220000000000000000000000023−2323−2323−2300000000000000000000000000000000
χ774-4-44-244-4-4-4422-244-4-40-2022-200-2-2-222200000000000000000000000−2323−2323−232300000000000000000000000000000000
χ784-4-44-24-44-4-4422-2-4-4440-2022-24-4222-2-2-24-44-40000000000000-22-22-2200000000000000000000000000000000000000
χ794-4-44-24-44-4-4422-2-4-4440-2022-2-44222-2-2-2-44-4400000000000002-22-22-200000000000000000000000000000000000000
χ804-4-44-2-24-422-222-2-2-222010-1-1100-2112-1-123−23−232300003-30003-30000−333−323−23−33−3300000000000000000000000000000000
χ814-4-44-2-24-422-222-2-2-222010-1-1100-2112-1-123−23−23230000-33000-330000−333−3−23233−33−300000000000000000000000000000000
χ824-4-44-2-24-422-222-2-2-222010-1-1100-2112-1-1−232323−2300003-30003-300003−3−33−23233−33−300000000000000000000000000000000
χ834-4-44-2-24-422-222-2-2-222010-1-1100-2112-1-1−232323−230000-33000-3300003−3−3323−23−33−3300000000000000000000000000000000
χ844-4-44-2-2-4422-222-222-2-2010-1-114-42-1-1-211-22-2200003-3000-3300-221-11-100-333-300000000000000000000000000000000
χ854-4-44-2-2-4422-222-222-2-2010-1-114-42-1-1-211-22-220000-330003-300-221-11-1003-3-3300000000000000000000000000000000
χ864-4-44-2-2-4422-222-222-2-2010-1-11-442-1-1-2112-22-200003-3000-33002-2-11-11003-3-3300000000000000000000000000000000
χ874-4-44-2-2-4422-222-222-2-2010-1-11-442-1-1-2112-22-20000-330003-3002-2-11-1100-333-300000000000000000000000000000000
χ8888-8-8-48008-8-8-44400000-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-44443−4343−430202-2-2000−23230−23230000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-444-444−4343−43430202-2-200023−23023−230000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4800-88-84-4400000-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4004-444-4443−43−4343020-22-2000−2323023−230000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-444-44−434343−43020-22-200023−230−23230000000000000000000000000000000000000000000000000000000000000

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