Finite Group Databasebeta

← Group #11889131

Character table — Group #11889131

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666344446661212121212121212121212121212121212122241212121212121212121212121212121212121222244668812124446668121212121212122424242488228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-111-1-1-1-11-1111-1-1-1-1-1111111-1-1-1-1-1
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
χ511111111111111111-1-111111111111-1-1-1-111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-11-1-111-1-1-1-1-1-111-1
χ611111111111111111-1-111111111111-1-1-1-111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-11-1-11-1-11-1-1-1-1111111-1-11
χ711111111111111111-1-111111111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-111-11111-1-1-1-111-1-11
χ811111111111111111-1-111111111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-111-1-11111-1-111-1
χ9111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-11111-1-1-11-1-111-1-1-1111-1-111-1-1111-1-1
χ10111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-1-111-1-1-11-1-111111-1-111-1-1-111
χ11111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-11-1-111111-1-1111-111-1-1-1-1-111-1-1-1-1-111
χ12111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-11-1-1-1-1111-111-1-1111-1-1-111-1-111111-1-1
χ13111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-11111-1111-111-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-11-11
χ14111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-11111-1-1-11-11111-1-11-11-1-1-1-1111-1-11111-1-111-11-1
χ15111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-11111111-11-1-1-1-111-11-11111-1-1-111-1-1-1-11111-11-1
χ16111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-111111-1-1-11-1-11111-1111-1-1-1-1-1-1111111-1-1-1-11-11
χ17222222-2-222222222-2002222222-2-2-2-200002222-2-222000-20000-2-2-2-200000000-200-22220022000-200000-20000000000000
χ18222222-2-222222222-2002222222-2-2-2-200002222-2-2-2-2000-20000-2-2-2-2000000002002-2-2-200-2-200020000020000000000000
χ19222222-2-22222222-2200222-2-2-2-2-2-2220000-2-2-2-2-2-22200020000-2-22200000000200-2-22200-2-2000200000-20000000000000
χ20222222-2-22222222-2200222-2-2-2-2-2-2220000-2-2-2-2-2-2-2-200020000-2-22200000000-20022-2-20022000-20000020000000000000
χ2122222-12222-12-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-120022-1-100-1-1220-1000-1-1-1-1-100000000000
χ2222222-12222-12-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2110011-2-2010001111100000000000
χ2322222-12222-12-1-1-122-2-2-1-1-122-1-1-1-1221111-1-1-1-12222-2-2-2-1-2-211-1-1-1-11111111120022-1-100-1-1-2-20-100011-11100000000000
χ2422222-12222-12-1-1-122-2-2-1-1-122-1-1-1-1221111-1-1-1-122-2-2-2-2-2-1-2-211-1-1-1-111111111-200-2-21100112201000-1-11-1-100000000000
χ2522222-12222-12-1-1-1-2-222-1-1-1-2-211-1-1-2-2-1-1-1-111112222-2-2-212211-1-111-1-1-1-11111-2002-2-1-10011-220100011-1-1-100000000000
χ2622222-12222-12-1-1-1-2-222-1-1-1-2-211-1-1-2-2-1-1-1-1111122-2-2-2-2-212211-1-111-1-1-1-11111200-221100-1-12-20-1000-1-111100000000000
χ2722222-12222-12-1-1-1-2-2-2-2-1-1-1-2-211-1-1-2-21111111122222221-2-2-1-1-1-1111111-1-1-1-1-2002-2-1-100112-201000-1-1-11100000000000
χ2822222-12222-12-1-1-1-2-2-2-2-1-1-1-2-211-1-1-2-21111111122-2-22221-2-2-1-1-1-1111111-1-1-1-1200-221100-1-1-220-1000111-1-100000000000
χ2922222-1-2-222-12-1-1-12-200-1-1-122-1-111-2-2−i3−i3i3i3-1-1-1-1-2-222000100−i3i31111−i3−i3i3i3−i3−i3i3i3-200-22-1-100-1-10001000−i3i31−i3i300000000000
χ3022222-1-2-222-12-1-1-12-200-1-1-122-1-111-2-2−i3−i3i3i3-1-1-1-1-2-2-2-2000100−i3i31111−i3−i3i3i3−i3−i3i3i32002-2110011000-1000i3−i3-1i3−i300000000000
χ3122222-1-2-222-12-1-1-12-200-1-1-122-1-111-2-2i3i3−i3−i3-1-1-1-1-2-222000100i3−i31111i3i3−i3−i3i3i3−i3−i3-200-22-1-100-1-10001000i3−i31i3−i300000000000
χ3222222-1-2-222-12-1-1-12-200-1-1-122-1-111-2-2i3i3−i3−i3-1-1-1-1-2-2-2-2000100i3−i31111i3i3−i3−i3i3i3−i3−i32002-2110011000-1000−i3i3-1−i3i300000000000
χ3322222-1-2-222-12-1-1-1-2200-1-1-1-2-2111122−i3−i3i3i31111-2-222000-100i3−i311-1-1−i3−i3i3i3i3i3−i3−i3200-2-2-1-10011000-1000i3−i31−i3i300000000000
χ3422222-1-2-222-12-1-1-1-2200-1-1-1-2-2111122−i3−i3i3i31111-2-2-2-2000-100i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-200221100-1-10001000−i3i3-1i3−i300000000000
χ3522222-1-2-222-12-1-1-1-2200-1-1-1-2-2111122i3i3−i3−i31111-2-222000-100−i3i311-1-1i3i3−i3−i3−i3−i3i3i3200-2-2-1-10011000-1000−i3i31i3−i300000000000
χ3622222-1-2-222-12-1-1-1-2200-1-1-1-2-2111122i3i3−i3−i31111-2-2-2-2000-100−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-200221100-1-10001000i3−i3-1−i3i300000000000
χ372222-1222-1-12-122-12222-1-1-1-1-12222-1-12222-1-1-1-1-1-1002-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1022000022000020-1-1200000-1-1-1-1-1-100000
χ382222-1222-1-12-122-12222-1-1-1-1-12222-1-12222-1-1-1-1-1-1002-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20000-2-20000-2011-20000011111100000
χ392222-1222-1-12-122-122-2-2-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-100-211211-2-2-1-1-1-1111111110220000-2-2000020-1-1-200000-1-1111100000
χ402222-1222-1-12-122-122-2-2-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-100-211211-2-2-1-1-1-1111111110-2-20000220000-201120000011-1-1-1-100000
χ412222-1222-1-12-122-1-2-222-1-1-111-2-2221122221111-1-100-211-2-1-1-2-2-1-111-1-1-1-111110220000220000-20-1-1-20000011-1-11100000
χ422222-1222-1-12-122-1-2-222-1-1-111-2-2221122221111-1-100-211-2-1-1-2-2-1-111-1-1-1-111110-2-20000-2-200002011200000-1-111-1-100000
χ432222-1222-1-12-122-1-2-2-2-2-1-1-111-2-22211-2-2-2-21111-1-1002-1-1-21122-1-1111111-1-1-1-10220000-2-20000-20-1-12000001111-1-100000
χ442222-1222-1-12-122-1-2-2-2-2-1-1-111-2-22211-2-2-2-21111-1-1002-1-1-21122-1-1111111-1-1-1-10-2-200002200002011-200000-1-1-1-11100000
χ452-22-2222-2-22-2-22-22002i−2i-22-200002-2002i−2i2i−2i00002-20000002i−2i002-2002i−2i2i−2i000002-200002i−2i0000002-2000000002i−2i0000000
χ462-22-2222-2-22-2-22-22002i−2i-22-200002-2002i−2i2i−2i00002-20000002i−2i002-2002i−2i2i−2i00000-220000−2i2i000000-2200000000−2i2i0000000
χ472-22-2222-2-22-2-22-2200−2i2i-22-200002-200−2i2i−2i2i00002-2000000−2i2i002-200−2i2i−2i2i000002-20000−2i2i0000002-200000000−2i2i0000000
χ482-22-2222-2-22-2-22-2200−2i2i-22-200002-200−2i2i−2i2i00002-2000000−2i2i002-200−2i2i−2i2i00000-2200002i−2i000000-22000000002i−2i0000000
χ492-22-2-122-21-1-212-2-1002i−2i1-113−3002-23−32i−2i2i−2i33−3−3-11000−i3i30−ii00-113−3−ii−ii−i3i3−i3i302-200002i−2i000000-110000003−3−ii−i3i300000
χ502-22-2-122-21-1-212-2-1002i−2i1-113−3002-23−32i−2i2i−2i33−3−3-11000−i3i30−ii00-113−3−ii−ii−i3i3−i3i30-220000−2i2i0000001-1000000−33i−ii3−i300000
χ512-22-2-122-21-1-212-2-1002i−2i1-11−33002-2−332i−2i2i−2i−3−333-11000i3−i30−ii00-11−33−ii−iii3−i3i3−i302-200002i−2i000000-11000000−33−iii3−i300000
χ522-22-2-122-21-1-212-2-1002i−2i1-11−33002-2−332i−2i2i−2i−3−333-11000i3−i30−ii00-11−33−ii−iii3−i3i3−i30-220000−2i2i0000001-10000003−3i−i−i3i300000
χ532-22-2-122-21-1-212-2-100−2i2i1-113−3002-23−3−2i2i−2i2i33−3−3-11000i3−i30i−i00-113−3i−ii−ii3−i3i3−i302-20000−2i2i000000-110000003−3i−ii3−i300000
χ542-22-2-122-21-1-212-2-100−2i2i1-113−3002-23−3−2i2i−2i2i33−3−3-11000i3−i30i−i00-113−3i−ii−ii3−i3i3−i30-2200002i−2i0000001-1000000−33−ii−i3i300000
χ552-22-2-122-21-1-212-2-100−2i2i1-11−33002-2−33−2i2i−2i2i−3−333-11000−i3i30i−i00-11−33i−ii−i−i3i3−i3i302-20000−2i2i000000-11000000−33i−i−i3i300000
χ562-22-2-122-21-1-212-2-100−2i2i1-11−33002-2−33−2i2i−2i2i−3−333-11000−i3i30i−i00-11−33i−ii−i−i3i3−i3i30-2200002i−2i0000001-10000003−3−iii3−i300000
χ574444-24-4-4-2-24-244-24-400-2-2-2-2-244-4-4220000-2-2-2-22200000-400002222000000000000000000000000000000000000000000
χ584444-24-4-4-2-24-244-2-4400-2-2-222-4-4-4-4-2-20000222222000004000022-2-2000000000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-2-222221111-2-200-422-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-4441112222-2-222-2-2-2-2-1-1-1-1-2-200-4222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-2222222-1-1-1-1-2-2004-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-22222−2i3−2i32i32i311112200000200−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222222i32i3−2i3−2i3111122000002002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-21-4400111222222-2-2−2i3−2i32i32i3-1-1-1-12200000-2002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-21-4400111222222-2-22i32i3−2i3−2i3-1-1-1-12200000-200−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-44-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-444004-44-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-444-44-44-4-44-440000-44-40000-440000000000-440000000000-4400000000000000000000000000000000000000000000
χ704-44-44-24-4-442-4-22-2004i−4i2-220000-2200−2i2i−2i2i00004-40000004i−4i00-2200−2i2i−2i2i00000000000000000000000000000000000000
χ714-44-44-24-4-442-4-22-200−4i4i2-220000-22002i−2i2i−2i00004-4000000−4i4i00-22002i−2i2i−2i00000000000000000000000000000000000000
χ724-44-44-2-44-442-4-22-200002-2200002-20023−23−23230000-4400000000002-20023−23−232300000000000000000000000000000000000000
χ734-44-44-2-44-442-4-22-200002-2200002-200−232323−230000-4400000000002-200−232323−2300000000000000000000000000000000000000
χ744-44-4-24-442-2-424-4-200002-2223−2300-44−232300002323−23−232-200000000002-2−2323000000000000000000000000000000000000000000
χ754-44-4-24-442-2-424-4-200002-22−232300-4423−230000−23−2323232-200000000002-223−23000000000000000000000000000000000000000000
χ764-44-4-2-24-42-222-221004i−4i-11-123−2300-2223−23−2i2i−2i2i−3−333-22000−2i32i30−2i2i001-1−33i−ii−ii3−i3i3−i30000000000000000000000000000000000
χ774-44-4-2-24-42-222-221004i−4i-11-1−232300-22−2323−2i2i−2i2i33−3−3-220002i3−2i30−2i2i001-13−3i−ii−i−i3i3−i3i30000000000000000000000000000000000
χ784-44-4-2-24-42-222-22100−4i4i-11-123−2300-2223−232i−2i2i−2i−3−333-220002i3−2i302i−2i001-1−33−ii−ii−i3i3−i3i30000000000000000000000000000000000
χ794-44-4-2-24-42-222-22100−4i4i-11-1−232300-22−23232i−2i2i−2i33−3−3-22000−2i32i302i−2i001-13−3−ii−iii3−i3i3−i30000000000000000000000000000000000
χ804-44-4-2-2-442-222-2210000-11-123−23002-2−232323−23−2323−3−3332-20000000000-113−3−333−3-333-30000000000000000000000000000000000
χ814-44-4-2-2-442-222-2210000-11-123−23002-2−2323−232323−23−3−3332-20000000000-113−33−3−333-3-330000000000000000000000000000000000
χ824-44-4-2-2-442-222-2210000-11-1−2323002-223−2323−23−232333−3−32-20000000000-11−33−333−33-3-330000000000000000000000000000000000
χ834-44-4-2-2-442-222-2210000-11-1−2323002-223−23−232323−2333−3−32-20000000000-11−333−3−33-333-30000000000000000000000000000000000
χ844-4-444400-4-4-44-4440000-4-440000000000000000004-400000000000000000000000004-4000000000000000000000000000
χ854-4-444400-4-4-44-4440000-4-44000000000000000000-440000000000000000000000000-44000000000000000000000000000
χ864-4-444-200-4-4242-2-2000022-20023−230000000023−2323−23004-40000000000000000000000000-220023−2300000000000000000000000
χ874-4-444-200-4-4242-2-2000022-20023−230000000023−2323−2300-4400000000000000000000000002-200−232300000000000000000000000
χ884-4-444-200-4-4242-2-2000022-200−232300000000−2323−2323004-40000000000000000000000000-2200−232300000000000000000000000
χ894-4-444-200-4-4242-2-2000022-200−232300000000−2323−232300-4400000000000000000000000002-20023−2300000000000000000000000
χ9088-8-88-4008-8-4-844-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-4484-8-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-4444200002-2-20000000000006-6-660000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-44-4444200002-2-2000000000000-666-60000000000000000000000000000000000000000000000000000000000
χ948-8-88-480044-8-4-88-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-44-420000-2-220043−4300000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400444-44-420000-2-2200−43430000000023−2323−230000000000000000000000000000000000000000000000000000000000

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