Finite Group Databasebeta

← Group #11896050

Character table — Group #11896050

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666344446661212121212121212121212121212121212124441212121212121212121212121212121212121244444881212121224466812121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1-1-1-1-11-1-11-111-1-1-1111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-1-1111-111-1-1111-1-111-11-1-1-1-1-11111-1-1111-1-1
χ611111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-11111111-1-1-1-1-1-1-111-1-1-111
χ711111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111-111111-1-1-11-1-1-1-1-1-1-11111111-1-1-1-1-111
χ811111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-1-111-1-1-111-1-11-111111-1-1-1-111111-1-1
χ9111111111111111-1-11111111111111-1-1-1-111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111-1-11111-1-11-1-1-11111-1-111-1-1-1-1-1-111-1
χ10111111111111111-1-11111111111111-1-1-1-111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11-1-111111111-1-1-1-1-111-1-11-1-1-1-1111111-1-11
χ11111111111111111-1-11111111111111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-111-1-11
χ12111111111111111-1-11111111111111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-11111-1-111-1
χ13111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1-1-111-11-1-1-111-1-1-11111-1-111-1-11-11
χ14111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-11111-1-1-11-111-1-111-111-1-1-1111-111-1-111-1-111-11-1
χ15111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-11111111-11-1-111-1-11-1-1111-1-1-11-1-111-1-11111-11-1
χ16111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-111111-1-1-111111-1-11-1111-1-1111-1-1-1-111-1-1-1-11-11
χ17222222-2-22222222002-222222-2-2-2-2-2-20000-2-2-2-2-2-22200020000-2-20000220000200-2-200-2-222000000-20020000000000000
χ18222222-2-22222222002-222222-2-2-2-2-2-20000-2-2-2-2-2-2-2-200020000-2-20000220000-200220022-2-2000000200-20000000000000
χ19222222-2-2222222200-22222-2-22222-2-200002222-2-222000-20000-2-20000-2-20000-200-22002222000000-200-20000000000000
χ20222222-2-2222222200-22222-2-22222-2-200002222-2-2-2-2000-20000-2-20000-2-200002002-200-2-2-2-200000020020000000000000
χ2122222-12222-12-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12002200-1-1-1-1220-1-10-100-1-1-100000000000
χ2222222-12222-12-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2001111-2-2011010011100000000000
χ2322222-12222-12-1-1-122-2-2-1-1-1-2-2-2-211-1-1-1-1-1-111112222-2221-2-211-1-1-1-1-1-1111111-2002-20011-1-12-20-1-10-10011100000000000
χ2422222-12222-12-1-1-122-2-2-1-1-1-2-2-2-211-1-1-1-1-1-1111122-2-2-2221-2-211-1-1-1-1-1-1111111200-2200-1-111-220110100-1-1-100000000000
χ2522222-12222-12-1-1-1-2-222-1-1-12222-1-1-1-11111-1-1-1-12222-2-2-2-1-2-211-1-11111-1-111112002200-1-1-1-1-2-20110-100-11100000000000
χ2622222-12222-12-1-1-1-2-222-1-1-12222-1-1-1-11111-1-1-1-122-2-2-2-2-2-1-2-211-1-11111-1-11111-200-2-2001111220-1-101001-1-100000000000
χ2722222-12222-12-1-1-1-2-2-2-2-1-1-1-2-2-2-211-1-11111111122222-2-2122-1-1-1-1111111-1-1-1-1-2002-20011-1-1-220110-1001-1-100000000000
χ2822222-12222-12-1-1-1-2-2-2-2-1-1-1-2-2-2-211-1-11111111122-2-22-2-2122-1-1-1-1111111-1-1-1-1200-2200-1-1112-20-1-10100-11100000000000
χ2922222-1-2-222-12-1-1-1002-2-1-1-122-2-21111−i3−i3i3i31111-2-222000-100−i3i311−i3−i3i3i3-1-1−i3−i3i3i3200-2-20011-1-1000−i3i30100-1−i3i300000000000
χ3022222-1-2-222-12-1-1-1002-2-1-1-122-2-21111−i3−i3i3i31111-2-2-2-2000-100−i3i311−i3−i3i3i3-1-1−i3−i3i3i3-2002200-1-111000i3−i30-1001i3−i300000000000
χ3122222-1-2-222-12-1-1-1002-2-1-1-122-2-21111i3i3−i3−i31111-2-222000-100i3−i311i3i3−i3−i3-1-1i3i3−i3−i3200-2-20011-1-1000i3−i30100-1i3−i300000000000
χ3222222-1-2-222-12-1-1-1002-2-1-1-122-2-21111i3i3−i3−i31111-2-2-2-2000-100i3−i311i3i3−i3−i3-1-1i3i3−i3−i3-2002200-1-111000−i3i30-1001−i3i300000000000
χ3322222-1-2-222-12-1-1-100-22-1-1-1-2-222-1-111−i3−i3i3i3-1-1-1-1-2-222000100i3−i311−i3−i3i3i311i3i3−i3−i3-200-2200-1-1-1-1000−i3i301001i3−i300000000000
χ3422222-1-2-222-12-1-1-100-22-1-1-1-2-222-1-111−i3−i3i3i3-1-1-1-1-2-2-2-2000100i3−i311−i3−i3i3i311i3i3−i3−i32002-2001111000i3−i30-100-1−i3i300000000000
χ3522222-1-2-222-12-1-1-100-22-1-1-1-2-222-1-111i3i3−i3−i3-1-1-1-1-2-222000100−i3i311i3i3−i3−i311−i3−i3i3i3-200-2200-1-1-1-1000i3−i301001−i3i300000000000
χ3622222-1-2-222-12-1-1-100-22-1-1-1-2-222-1-111i3i3−i3−i3-1-1-1-1-2-2-2-2000100−i3i311i3i3−i3−i311−i3−i3i3i32002-2001111000−i3i30-100-1i3−i300000000000
χ372222-1222-1-12-122-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1002-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1022002200000020020-1-1000-1-1-1-1-1-100000
χ382222-1222-1-12-122-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1002-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-200-2-2000000-200-201100011111100000
χ392222-1222-1-12-122-122-2-2-1-1-11111-2-22222221111-1-100-2-1-1-211-2-2-1-1-1-1-1-11111110220022000000-200-2011000-1-1-1-11100000
χ402222-1222-1-12-122-122-2-2-1-1-11111-2-22222221111-1-100-2-1-1-211-2-2-1-1-1-1-1-11111110-2-200-2-200000020020-1-10001111-1-100000
χ412222-1222-1-12-122-1-2-222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-211211-2-2-1-11111-1-1111102200-2-2000000200-20-1-1000-1-1111100000
χ422222-1222-1-12-122-1-2-222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-211211-2-2-1-11111-1-111110-2-20022000000-200201100011-1-1-1-100000
χ432222-1222-1-12-122-1-2-2-2-2-1-1-11111-2-222-2-2-2-21111-1-100211-2-1-122-1-1111111-1-1-1-102200-2-2000000-2002011000-1-111-1-100000
χ442222-1222-1-12-122-1-2-2-2-2-1-1-11111-2-222-2-2-2-21111-1-100211-2-1-122-1-1111111-1-1-1-10-2-20022000000200-20-1-100011-1-11100000
χ452-22-222-22-2-2-222-222i−2i00-22-20000002-22i−2i2i−2i00002-20002i−2i000002-22i−2i2i−2i00000002-2002i−2i00000000000000002-22i−2i0000000
χ462-22-222-22-2-2-222-222i−2i00-22-20000002-22i−2i2i−2i00002-20002i−2i000002-22i−2i2i−2i0000000-2200−2i2i0000000000000000-22−2i2i0000000
χ472-22-222-22-2-2-222-22−2i2i00-22-20000002-2−2i2i−2i2i00002-2000−2i2i000002-2−2i2i−2i2i00000002-200−2i2i00000000000000002-2−2i2i0000000
χ482-22-222-22-2-2-222-22−2i2i00-22-20000002-2−2i2i−2i2i00002-2000−2i2i000002-2−2i2i−2i2i0000000-22002i−2i0000000000000000-222i−2i0000000
χ492-22-2-12-2211-2-12-2-12i−2i001-113−33−3002-22i−2i2i−2i33−3−3-11000−ii0−i3i300-11−ii−ii3−3−i3i3−i3i302-2002i−2i000000000003−3000-11−ii−i3i300000
χ502-22-2-12-2211-2-12-2-12i−2i001-113−33−3002-22i−2i2i−2i33−3−3-11000−ii0−i3i300-11−ii−ii3−3−i3i3−i3i30-2200−2i2i00000000000−330001-1i−ii3−i300000
χ512-22-2-12-2211-2-12-2-12i−2i001-11−33−33002-22i−2i2i−2i−3−333-11000−ii0i3−i300-11−ii−ii−33i3−i3i3−i302-2002i−2i00000000000−33000-11−iii3−i300000
χ522-22-2-12-2211-2-12-2-12i−2i001-11−33−33002-22i−2i2i−2i−3−333-11000−ii0i3−i300-11−ii−ii−33i3−i3i3−i30-2200−2i2i000000000003−30001-1i−i−i3i300000
χ532-22-2-12-2211-2-12-2-1−2i2i001-113−33−3002-2−2i2i−2i2i33−3−3-11000i−i0i3−i300-11i−ii−i3−3i3−i3i3−i302-200−2i2i000000000003−3000-11i−ii3−i300000
χ542-22-2-12-2211-2-12-2-1−2i2i001-113−33−3002-2−2i2i−2i2i33−3−3-11000i−i0i3−i300-11i−ii−i3−3i3−i3i3−i30-22002i−2i00000000000−330001-1−ii−i3i300000
χ552-22-2-12-2211-2-12-2-1−2i2i001-11−33−33002-2−2i2i−2i2i−3−333-11000i−i0−i3i300-11i−ii−i−33−i3i3−i3i302-200−2i2i00000000000−33000-11i−i−i3i300000
χ562-22-2-12-2211-2-12-2-1−2i2i001-11−33−33002-2−2i2i−2i2i−3−333-11000i−i0−i3i300-11i−ii−i−33−i3i3−i3i30-22002i−2i000000000003−30001-1−iii3−i300000
χ574444-24-4-4-2-24-244-2004-4-2-2-2-2-222-4-4-4-400002222220000040000220000-2-200000000000000000000000000000000000000
χ584444-24-4-4-2-24-244-200-44-2-2-222-2-244-4-40000-2-2-2-22200000-400002200002200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-2-21111-2-2004-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2144-4-4111222222-2-2-2-2-2-2-1-1-1-1-2-200-4-2-222222111111-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-2-2-222221111-2-200-422-2222211-1-1-1-111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-4111222222-2-22222-1-1-1-1-2-2004222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-21004-4111-2-2222222−2i3−2i32i32i3-1-1-1-12200000-200−2i32i3-1-1i3i3−i3−i311i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-21004-4111-2-22222222i32i3−2i3−2i3-1-1-1-12200000-2002i3−2i3-1-1−i3−i3i3i311−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2100-4411122-2-2-2-222−2i3−2i32i32i3111122000002002i3−2i3-1-1i3i3−i3−i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2100-4411122-2-2-2-2222i32i3−2i3−2i311112200000200−2i32i3-1-1−i3−i3i3i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-4-4-4-4440000-4-440000000000000000004-4000000000000000000000000000004-400000000000000000000000
χ6844-4-444004-4-4-4-4440000-4-44000000000000000000-4400000000000000000000000000000-4400000000000000000000000
χ6944-4-44-2004-42-42-2-2000022-2000023−2300000023−2323−23004-400000000000000000000000000023−23-2200000000000000000000000
χ7044-4-44-2004-42-42-2-2000022-2000023−2300000023−2323−2300-44000000000000000000000000000−23232-200000000000000000000000
χ7144-4-44-2004-42-42-2-2000022-20000−2323000000−2323−2323004-4000000000000000000000000000−2323-2200000000000000000000000
χ7244-4-44-2004-42-42-2-2000022-20000−2323000000−2323−232300-4400000000000000000000000000023−232-200000000000000000000000
χ734-44-4444-4-4-4-444-440000-44-4000000-4400000000-440000000000-4400000000000000000000000000000000000000000000
χ744-44-44-24-4-4-424-22-200002-220000002-223−23−23230000-4400000000002-223−23−23230000000000000000000000000000000000000000
χ754-44-44-24-4-4-424-22-200002-220000002-2−232323−230000-4400000000002-2−232323−230000000000000000000000000000000000000000
χ764-44-44-2-44-4-424-22-24i−4i002-22000000-22−2i2i−2i2i00004-40004i−4i00000-22−2i2i−2i2i0000000000000000000000000000000000000000
χ774-44-44-2-44-4-424-22-2−4i4i002-22000000-222i−2i2i−2i00004-4000−4i4i00000-222i−2i2i−2i0000000000000000000000000000000000000000
χ784-44-4-244-422-4-24-4-200002-2223−23−232300-440000−23−2323232-200000000002-2000023−2300000000000000000000000000000000000000
χ794-44-4-244-422-4-24-4-200002-22−232323−2300-4400002323−23−232-200000000002-20000−232300000000000000000000000000000000000000
χ804-44-4-2-24-4222-2-2210000-11-123−23−2323002-223−23−232333−3−32-20000000000-11−333−3−33-333-30000000000000000000000000000000000
χ814-44-4-2-24-4222-2-2210000-11-123−23−2323002-2−232323−2333−3−32-20000000000-113−3−33−333-3-330000000000000000000000000000000000
χ824-44-4-2-24-4222-2-2210000-11-1−232323−23002-223−23−2323−3−3332-20000000000-11−333−33−33-3-330000000000000000000000000000000000
χ834-44-4-2-24-4222-2-2210000-11-1−232323−23002-2−232323−23−3−3332-20000000000-113−3−333−3-333-30000000000000000000000000000000000
χ844-44-4-2-2-44222-2-2214i−4i00-11-123−2323−2300-22−2i2i−2i2i−3−333-22000−2i2i0−2i32i3001-1i−ii−i−33i3−i3i3−i30000000000000000000000000000000000
χ854-44-4-2-2-44222-2-2214i−4i00-11-1−2323−232300-22−2i2i−2i2i33−3−3-22000−2i2i02i3−2i3001-1i−ii−i3−3−i3i3−i3i30000000000000000000000000000000000
χ864-44-4-2-2-44222-2-221−4i4i00-11-123−2323−2300-222i−2i2i−2i−3−333-220002i−2i02i3−2i3001-1−ii−ii−33−i3i3−i3i30000000000000000000000000000000000
χ874-44-4-2-2-44222-2-221−4i4i00-11-1−2323−232300-222i−2i2i−2i33−3−3-220002i−2i0−2i32i3001-1−ii−ii3−3i3−i3i3−i30000000000000000000000000000000000
χ884-4-444400-444-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ894-4-444400-444-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ9088-8-8-4800-44-84-88-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44444-420000-2-22000043−43000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44444-420000-2-220000−434300000023−2323−230000000000000000000000000000000000000000000000000000000000
χ938-8-888-400-88-4-844-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-48004-484-8-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-4-4444200002-2-20000000000006-6-660000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004-4-4444200002-2-2000000000000-666-60000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).