Finite Group Databasebeta

← Group #11896056

Character table — Group #11896056

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666634444666121212121212121212121212121212121212444121212121212121212121212121212121212124444488121212124448121212121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-11111111-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11-1111111-1-1-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-11111111-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-11-1-1-1-111-1-1-1-1111111-1-11
χ711111111111111111-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-11
χ811111111111111111-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-111111111-1-111-1
χ9111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-1-1111-11111-1-11-1-1-111-1-11-111-1-111-1-1111-1-1
χ10111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-111-1-11-111-1-1111-111-1-1-1-111-1-1-111
χ11111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111-1111-1-111-11-1-111-1-1-11-1-11111-1-1-1-1-111
χ12111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11-1-1-11-1-1-1-111-1111-1-111-11-1-111-1-111111-1-1
χ13111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-11111-1111-1-1-111-1-1-11-1111-1-11-1-1-111-1-111-1-11-11
χ14111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-11111-1-1-11-11111-1-1-111-1-1-1111-1-1-11111-1-111-11-1
χ15111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-11111111-11-1-1-1-1111-1-1111-1-1-1111-1-1-1-11111-11-1
χ16111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-111111-1-1-1111-1-1111-11-1-1-111-1111-1-111-1-1-1-11-11
χ17222222-2-222222222-200222-2-2-2-2000022222222-2-22200000-200-2-2-2-200000000200-2-200222200000000-2-20000000000000
χ18222222-2-222222222-200222-2-2-2-2000022222222-2-2-2-200000-200-2-2-2-200000000-2002200-2-2-2-200000000220000000000000
χ19222222-2-22222222-2200222-2-2220000-2-2-2-2-2-2-2-2-2-22200000200-2-22200000000-200-220022-2-200000000-220000000000000
χ20222222-2-22222222-2200222-2-2220000-2-2-2-2-2-2-2-2-2-2-2-200000200-2-222000000002002-200-2-222000000002-20000000000000
χ2122222-1222-12-12-1-12222-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12002200-1-1-1-122000000-1-1-1-1-1-1000000000
χ2222222-1222-12-12-1-12222-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2001111-2-2000000111111000000000
χ2322222-1222-12-12-1-122-2-2-1-1-1-1-122111122-1-1-1-1-1-12222-2-2-2-2-2-111-1-1-1-1111111112002200-1-1-1-1-2-2000000-1-11111000000000
χ2422222-1222-12-12-1-122-2-2-1-1-1-1-122111122-1-1-1-1-1-122-2-2-2-2-2-2-2-111-1-1-1-111111111-200-2-20011112200000011-1-1-1-1000000000
χ2522222-1222-12-12-1-1-2-222-1-1-1-1-1-2-2-1-1-1-1-2-21111112222-2-2-222111-1-111-1-1-1-11111-2002-200-1-1112-2000000-11-1-111000000000
χ2622222-1222-12-12-1-1-2-222-1-1-1-1-1-2-2-1-1-1-1-2-211111122-2-2-2-2-222111-1-111-1-1-1-11111200-220011-1-1-220000001-111-1-1000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1-1-1-2-21111-2-21111112222222-2-21-1-1-1-1111111-1-1-1-1-2002-200-1-111-22000000-1111-1-1000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1-1-1-2-21111-2-211111122-2-2222-2-21-1-1-1-1111111-1-1-1-1200-220011-1-12-20000001-1-1-111000000000
χ2922222-1-2-22-12-12-1-12-200-1-1-111-2-2−i3−i3i3i322-1-1-1-1-1-1-2-222000001−i3i31111−i3−i3i3i3−i3−i3i3i3200-2-200-1-1-1-10000000011−i3i3−i3i3000000000
χ3022222-1-2-22-12-12-1-12-200-1-1-111-2-2−i3−i3i3i322-1-1-1-1-1-1-2-2-2-2000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2002200111100000000-1-1i3−i3i3−i3000000000
χ3122222-1-2-22-12-12-1-12-200-1-1-111-2-2i3i3−i3−i322-1-1-1-1-1-1-2-222000001i3−i31111i3i3−i3−i3i3i3−i3−i3200-2-200-1-1-1-10000000011i3−i3i3−i3000000000
χ3222222-1-2-22-12-12-1-12-200-1-1-111-2-2i3i3−i3−i322-1-1-1-1-1-1-2-2-2-2000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2002200111100000000-1-1−i3i3−i3i3000000000
χ3322222-1-2-22-12-12-1-1-2200-1-1-11122−i3−i3i3i3-2-2111111-2-22200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-200-2200-1-111000000001-1−i3i3i3−i3000000000
χ3422222-1-2-22-12-12-1-1-2200-1-1-11122−i3−i3i3i3-2-2111111-2-2-2-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32002-20011-1-100000000-11i3−i3−i3i3000000000
χ3522222-1-2-22-12-12-1-1-2200-1-1-11122i3i3−i3−i3-2-2111111-2-22200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-200-2200-1-111000000001-1i3−i3−i3i3000000000
χ3622222-1-2-22-12-12-1-1-2200-1-1-11122i3i3−i3−i3-2-2111111-2-2-2-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32002-20011-1-100000000-11−i3i3i3−i3000000000
χ372222-1222-12-12-12-12222-1-1-122-1-12222-1-122-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1022002200000022-1-1-1-1000000-1-1-1-100000
χ382222-1222-12-12-12-12222-1-1-122-1-12222-1-122-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10-2-200-2-2000000-2-21111000000111100000
χ392222-1222-12-12-12-122-2-2-1-1-122-1-1-2-2-2-2-1-122-1-1-1-1-1-100-211112-2-2-1-1-1-11111111102200-2-20000002-2-1-1-1-1000000111100000
χ402222-1222-12-12-12-122-2-2-1-1-122-1-1-2-2-2-2-1-122-1-1-1-1-1-100-211112-2-2-1-1-1-1111111110-2-20022000000-221111000000-1-1-1-100000
χ412222-1222-12-12-12-1-2-222-1-1-12211222211-2-21111-1-100-211-1-1-2-2-2-1-111-1-1-1-111110220022000000-2-2-1-111000000-1-11100000
χ422222-1222-12-12-12-1-2-222-1-1-12211222211-2-21111-1-100-211-1-1-2-2-2-1-111-1-1-1-111110-2-200-2-20000002211-1-100000011-1-100000
χ432222-1222-12-12-12-1-2-2-2-2-1-1-12211-2-2-2-211-2-21111-1-1002-1-111-222-1-1111111-1-1-1-102200-2-2000000-22-1-11100000011-1-100000
χ442222-1222-12-12-12-1-2-2-2-2-1-1-12211-2-2-2-211-2-21111-1-1002-1-111-222-1-1111111-1-1-1-10-2-200220000002-211-1-1000000-1-11100000
χ452-2-2222-22-22-2-22-22002-2-22-22-2002-22-2000000002-2000002-20002-2002-22-2000002i−2i002i−2i000000002i−2i000000002i−2i0000000
χ462-2-2222-22-22-2-22-22002-2-22-22-2002-22-2000000002-2000002-20002-2002-22-200000−2i2i00−2i2i00000000−2i2i00000000−2i2i0000000
χ472-2-2222-22-22-2-22-2200-22-22-22-200-22-22000000002-200000-220002-200-22-22000002i−2i00−2i2i000000002i−2i00000000−2i2i0000000
χ482-2-2222-22-22-2-22-2200-22-22-22-200-22-22000000002-200000-220002-200-22-2200000−2i2i002i−2i00000000−2i2i000000002i−2i0000000
χ492-2-22-12-22121-2-1-2-1002-21-112-23−32-22-23−30033−3−3-110003−3-11000-113−3-11-113−33−302i−2i002i−2i00000000−ii−i3i3000000−ii−i3i300000
χ502-2-22-12-22121-2-1-2-1002-21-112-23−32-22-23−30033−3−3-110003−3-11000-113−3-11-113−33−30−2i2i00−2i2i00000000i−ii3−i3000000i−ii3−i300000
χ512-2-22-12-22121-2-1-2-1002-21-112-2−332-22-2−3300−3−333-11000−33-11000-11−33-11-11−33−3302i−2i002i−2i00000000−iii3−i3000000−iii3−i300000
χ522-2-22-12-22121-2-1-2-1002-21-112-2−332-22-2−3300−3−333-11000−33-11000-11−33-11-11−33−330−2i2i00−2i2i00000000i−i−i3i3000000i−i−i3i300000
χ532-2-22-12-22121-2-1-2-100-221-112-23−3-22-223−30033−3−3-11000−331-1000-113−31-11-1−33−3302i−2i00−2i2i00000000−ii−i3i3000000i−ii3−i300000
χ542-2-22-12-22121-2-1-2-100-221-112-23−3-22-223−30033−3−3-11000−331-1000-113−31-11-1−33−330−2i2i002i−2i00000000i−ii3−i3000000−ii−i3i300000
χ552-2-22-12-22121-2-1-2-100-221-112-2−33-22-22−3300−3−333-110003−31-1000-11−331-11-13−33−302i−2i00−2i2i00000000−iii3−i3000000i−i−i3i300000
χ562-2-22-12-22121-2-1-2-100-221-112-2−33-22-22−3300−3−333-110003−31-1000-11−331-11-13−33−30−2i2i002i−2i00000000i−i−i3i3000000−iii3−i300000
χ574444-24-4-4-24-24-24-24-400-2-2-2-4-4220000-2-244-2-2-2-2220000000-4002222000000000000000000000000000000000000000000
χ584444-24-4-4-24-24-24-2-4400-2-2-2-4-4-2-2000022-4-4222222000000040022-2-2000000000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-22222-2-2-2-21111-2-200-42222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-444111-2-222-2-2-2-22222-1-1-1-1-2-200-422-2-222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-4111-2-22222222222-1-1-1-1-2-2004-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-214-4001112222−2i3−2i32i32i3-2-2-2-211112200000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-214-40011122222i32i3−2i3−2i3-2-2-2-2111122000000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-21-440011122-2-2−2i3−2i32i32i32222-1-1-1-1220000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-21-440011122-2-22i32i3−2i3−2i32222-1-1-1-1220000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-4-444-4-4400004-4-40000000000000000004-40000000000000000000000000004-40000000000000000000000000
χ6844-4-44400-4-444-4-4400004-4-4000000000000000000-44000000000000000000000000000-440000000000000000000000000
χ6944-4-44-200-424-2-42-20000-2220000000000−2i32i3−2i32i3−2i32i3004-4000000000000000000000000000-22−2i32i300000000000000000000000
χ7044-4-44-200-424-2-42-20000-2220000000000−2i32i3−2i32i3−2i32i300-440000000000000000000000000002-22i3−2i300000000000000000000000
χ7144-4-44-200-424-2-42-20000-22200000000002i3−2i32i3−2i32i3−2i3004-4000000000000000000000000000-222i3−2i300000000000000000000000
χ7244-4-44-200-424-2-42-20000-22200000000002i3−2i32i3−2i32i3−2i300-440000000000000000000000000002-2−2i32i300000000000000000000000
χ734-44-444004-4-4-4-4440000-4-44000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ744-44-444004-4-4-4-4440000-4-440000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ754-4-44444-4-44-4-44-440000-44-4-4400000000000000-440000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-4-4-2-4242-200002-222-200−2i32i32i3−2i300000000-4400000000002-200−2i32i32i3−2i300000000000000000000000000000000000000
χ774-4-444-24-4-4-2-4242-200002-222-2002i3−2i3−2i32i300000000-4400000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000
χ784-4-444-2-44-4-2-4242-2004-42-22-2200-22-22000000004-4000004-4000-2200-22-2200000000000000000000000000000000000000
χ794-4-444-2-44-4-2-4242-200-442-22-22002-22-2000000004-400000-44000-22002-22-200000000000000000000000000000000000000
χ804-4-44-244-4242-4-2-4-200002-22-4423−230000−232300−23−2323232-200000000002-223−23000000000000000000000000000000000000000000
χ814-4-44-244-4242-4-2-4-200002-22-44−2323000023−23002323−23−232-200000000002-2−2323000000000000000000000000000000000000000000
χ824-4-44-2-24-42-222-2210000-11-12-223−23−2i32i32i3−2i3−23230033−3−32-20000000000-11−33i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000
χ834-4-44-2-24-42-222-2210000-11-12-223−232i3−2i3−2i32i3−23230033−3−32-20000000000-11−33−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000
χ844-4-44-2-24-42-222-2210000-11-12-2−2323−2i32i32i3−2i323−2300−3−3332-20000000000-113−3i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000
χ854-4-44-2-24-42-222-2210000-11-12-2−23232i3−2i3−2i32i323−2300−3−3332-20000000000-113−3−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000
χ864-4-44-2-2-442-222-221004-4-11-1-2223−23-22-2223−2300−3−333-2200023−23-220001-1−331-11-1−33−330000000000000000000000000000000000
χ874-4-44-2-2-442-222-221004-4-11-1-22−2323-22-22−23230033−3−3-22000−2323-220001-13−31-11-13−33−30000000000000000000000000000000000
χ884-4-44-2-2-442-222-22100-44-11-1-2223−232-22-223−2300−3−333-22000−23232-20001-1−33-11-113−33−30000000000000000000000000000000000
χ894-4-44-2-2-442-222-22100-44-11-1-22−23232-22-2−23230033−3−3-2200023−232-20001-13−3-11-11−33−330000000000000000000000000000000000
χ9088-8-8-48004-8-484-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40044-4-444200002-2-20000000000−4i34i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-4-444200002-2-200000000004i3−4i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ938-88-88-40084-84-8-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800-4-84-848-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400-44444-420000-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-44444-420000-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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