Finite Group Databasebeta

← Group #11889747

Character table — Group #11889747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666634444666121212121212121212121212121212121212224121212121212121212121212121212121212122224466668844466812121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ711111111111111111-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-111-1-11
χ811111111111111111-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-111111111-1-111-1
χ9111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-1-1111-111-1-1111-1-111-11-1-1-111-1-111-1-1111-1-1
χ10111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-11-11-1-111-11111-1-1-1-111-1-1-111
χ11111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111-11-1-11111-11-111-1-11-1-1-1-11111-1-1-1-1-111
χ12111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11-1-1-11-1-111-1-1-111-1-11-1111-1-111-1-111111-1-1
χ13111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1-11111-1111-111-1-1-1-1-11-11111-1-1-1-1-111-1-111-1-11-11
χ14111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1-11111-1-1-11-111-1-111-111-1-1-11-111-1-11111-1-111-11-1
χ15111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-111-1-1-1-1-1-11111111-11-1-111-1-11-1-1111-11-1-111-1-1-1-11111-11-1
χ16111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-111-1-1-1-1-1-111111-1-1-11-1-111111-11-1-1-1-111111-1-111-1-1-1-11-11
χ17222222-2-222222222-2002222222-2-2-2-200002222-2-2220000000-2-2-2-2-200000000200-2-2222200000000-2-2000000000000000
χ18222222-2-222222222-2002222222-2-2-2-200002222-2-2-2-20000000-2-2-2-2-200000000-20022-2-2-2-20000000022000000000000000
χ19222222-2-22222222-2200222-2-2-2-2-2-2220000-2-2-2-2-2-22200000002-2-22200000000-200-2222-2-200000000-22000000000000000
χ20222222-2-22222222-2200222-2-2-2-2-2-2220000-2-2-2-2-2-2-2-200000002-2-222000000002002-2-2-222000000002-2000000000000000
χ2122222-1222-122-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120022-1-1-1-100220000-1-100-1-1-1-1000000000
χ2222222-1222-122-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2111100-2-2000011001111000000000
χ2322222-1222-122-1-1-122-2-2-1-1-122-1-1-1-1221111-1-1-1-12222-2-2-2-2-211-1-1-1-1-11111111120022-1-1-1-100-2-20000-1-1001111000000000
χ2422222-1222-122-1-1-122-2-2-1-1-122-1-1-1-1221111-1-1-1-122-2-2-2-2-2-2-211-1-1-1-1-111111111-200-2-21111002200001100-1-1-1-1000000000
χ2522222-1222-122-1-1-1-2-222-1-1-1-2-211-1-1-2-2-1-1-1-111112222-2-2-222111-1-111-1-1-1-11111-2002-2-1-111002-20000-1100-1-111000000000
χ2622222-1222-122-1-1-1-2-222-1-1-1-2-211-1-1-2-2-1-1-1-1111122-2-2-2-2-222111-1-111-1-1-1-11111200-2211-1-100-2200001-10011-1-1000000000
χ2722222-1222-122-1-1-1-2-2-2-2-1-1-1-2-211-1-1-2-2111111112222222-2-2-1-11-1-1111111-1-1-1-1-2002-2-1-11100-220000-110011-1-1000000000
χ2822222-1222-122-1-1-1-2-2-2-2-1-1-1-2-211-1-1-2-21111111122-2-2222-2-2-1-11-1-1111111-1-1-1-1200-2211-1-1002-200001-100-1-111000000000
χ2922222-1-2-22-122-1-1-12-200-1-1-122-1-111-2-2−i3−i3i3i3-1-1-1-1-2-22200000−i3i311111−i3−i3i3i3−i3−i3i3i3200-2-2-1-1-1-1000000001100−i3i3−i3i3000000000
χ3022222-1-2-22-122-1-1-12-200-1-1-122-1-111-2-2−i3−i3i3i3-1-1-1-1-2-2-2-200000−i3i311111−i3−i3i3i3−i3−i3i3i3-20022111100000000-1-100i3−i3i3−i3000000000
χ3122222-1-2-22-122-1-1-12-200-1-1-122-1-111-2-2i3i3−i3−i3-1-1-1-1-2-22200000i3−i311111i3i3−i3−i3i3i3−i3−i3200-2-2-1-1-1-1000000001100i3−i3i3−i3000000000
χ3222222-1-2-22-122-1-1-12-200-1-1-122-1-111-2-2i3i3−i3−i3-1-1-1-1-2-2-2-200000i3−i311111i3i3−i3−i3i3i3−i3−i3-20022111100000000-1-100−i3i3−i3i3000000000
χ3322222-1-2-22-122-1-1-1-2200-1-1-1-2-2111122−i3−i3i3i31111-2-22200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3-200-22-1-111000000001-100−i3i3i3−i3000000000
χ3422222-1-2-22-122-1-1-1-2200-1-1-1-2-2111122−i3−i3i3i31111-2-2-2-200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i32002-211-1-100000000-1100i3−i3−i3i3000000000
χ3522222-1-2-22-122-1-1-1-2200-1-1-1-2-2111122i3i3−i3−i31111-2-22200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3-200-22-1-111000000001-100i3−i3−i3i3000000000
χ3622222-1-2-22-122-1-1-1-2200-1-1-1-2-2111122i3i3−i3−i31111-2-2-2-200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i32002-211-1-100000000-1100−i3i3i3−i3000000000
χ372222-1222-12-1-122-12222-1-1-1-1-12222-1-12222-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-102200000022002-1-1200-1-10000-1-1-1-100000
χ382222-1222-12-1-122-12222-1-1-1-1-12222-1-12222-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000-2-200-211-200110000111100000
χ392222-1222-12-1-122-122-2-2-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-100-21111-2-22-1-1-1-111111111022000000-2-2002-1-1-200-1-10000111100000
χ402222-1222-12-1-122-122-2-2-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-100-21111-2-22-1-1-1-1111111110-2-20000002200-211200110000-1-1-1-100000
χ412222-1222-12-1-122-1-2-222-1-1-111-2-2221122221111-1-100-211-1-1-2-2-2-1-111-1-1-1-111110220000002200-2-1-1-200110000-1-11100000
χ422222-1222-12-1-122-1-2-222-1-1-111-2-2221122221111-1-100-211-1-1-2-2-2-1-111-1-1-1-111110-2-2000000-2-200211200-1-1000011-1-100000
χ432222-1222-12-1-122-1-2-2-2-2-1-1-111-2-22211-2-2-2-21111-1-1002-1-11122-2-1-1111111-1-1-1-1022000000-2-200-2-1-120011000011-1-100000
χ442222-1222-12-1-122-1-2-2-2-2-1-1-111-2-22211-2-2-2-21111-1-1002-1-11122-2-1-1111111-1-1-1-10-2-20000002200211-200-1-10000-1-11100000
χ452-2-22222-2-2-22-22-22002i−2i-22-200002-2002i−2i2i−2i00002-2000002i−2i0002-2002i−2i2i−2i000002-20000002i−2i0002-20000000002i−2i0000000
χ462-2-22222-2-2-22-22-22002i−2i-22-200002-2002i−2i2i−2i00002-2000002i−2i0002-2002i−2i2i−2i00000-22000000−2i2i000-22000000000−2i2i0000000
χ472-2-22222-2-2-22-22-2200−2i2i-22-200002-200−2i2i−2i2i00002-200000−2i2i0002-200−2i2i−2i2i000002-2000000−2i2i0002-2000000000−2i2i0000000
χ482-2-22222-2-2-22-22-2200−2i2i-22-200002-200−2i2i−2i2i00002-200000−2i2i0002-200−2i2i−2i2i00000-220000002i−2i000-220000000002i−2i0000000
χ492-2-22-122-21-2-112-2-1002i−2i1-113−3002-23−32i−2i2i−2i33−3−3-11000−i3i3−ii000-113−3−ii−ii−i3i3−i3i302-20000002i−2i000-110003−30000−ii−i3i300000
χ502-2-22-122-21-2-112-2-1002i−2i1-113−3002-23−32i−2i2i−2i33−3−3-11000−i3i3−ii000-113−3−ii−ii−i3i3−i3i30-22000000−2i2i0001-1000−330000i−ii3−i300000
χ512-2-22-122-21-2-112-2-1002i−2i1-11−33002-2−332i−2i2i−2i−3−333-11000i3−i3−ii000-11−33−ii−iii3−i3i3−i302-20000002i−2i000-11000−330000−iii3−i300000
χ522-2-22-122-21-2-112-2-1002i−2i1-11−33002-2−332i−2i2i−2i−3−333-11000i3−i3−ii000-11−33−ii−iii3−i3i3−i30-22000000−2i2i0001-10003−30000i−i−i3i300000
χ532-2-22-122-21-2-112-2-100−2i2i1-113−3002-23−3−2i2i−2i2i33−3−3-11000i3−i3i−i000-113−3i−ii−ii3−i3i3−i302-2000000−2i2i000-110003−30000i−ii3−i300000
χ542-2-22-122-21-2-112-2-100−2i2i1-113−3002-23−3−2i2i−2i2i33−3−3-11000i3−i3i−i000-113−3i−ii−ii3−i3i3−i30-220000002i−2i0001-1000−330000−ii−i3i300000
χ552-2-22-122-21-2-112-2-100−2i2i1-11−33002-2−33−2i2i−2i2i−3−333-11000−i3i3i−i000-11−33i−ii−i−i3i3−i3i302-2000000−2i2i000-11000−330000i−i−i3i300000
χ562-2-22-122-21-2-112-2-100−2i2i1-11−33002-2−33−2i2i−2i2i−3−333-11000−i3i3i−i000-11−33i−ii−i−i3i3−i3i30-220000002i−2i0001-10003−30000−iii3−i300000
χ574444-24-4-4-24-2-244-24-400-2-2-2-2-244-4-4220000-2-2-2-222000000000-42222000000000000000000000000000000000000000000
χ584444-24-4-4-24-2-244-2-4400-2-2-222-4-4-4-4-2-20000222222000000000422-2-2000000000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-2-222221111-2-200-4222222-21111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-4441112222-2-222-2-2-2-2-1-1-1-1-2-200-422-2-222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-2222222-1-1-1-1-2-2004-2-222-2-2211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-22222−2i3−2i32i32i31111220000000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222222i32i3−2i3−2i311112200000002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-21-4400111222222-2-2−2i3−2i32i32i3-1-1-1-12200000002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-21-4400111222222-2-22i32i3−2i3−2i3-1-1-1-1220000000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-4440044-4-4-4-4400004-4-40000000000000000004-400000000000000000000000004-4000000000000000000000000000
χ6844-4-4440044-4-4-4-4400004-4-4000000000000000000-440000000000000000000000000-44000000000000000000000000000
χ6944-4-44-2004-2-4-422-20000-22200−2i32i300000000−2i32i3−2i32i3004-40000000000000000000000000-22−2i32i30000000000000000000000000
χ7044-4-44-2004-2-4-422-20000-22200−2i32i300000000−2i32i3−2i32i300-4400000000000000000000000002-22i3−2i30000000000000000000000000
χ7144-4-44-2004-2-4-422-20000-222002i3−2i3000000002i3−2i32i3−2i3004-40000000000000000000000000-222i3−2i30000000000000000000000000
χ7244-4-44-2004-2-4-422-20000-222002i3−2i3000000002i3−2i32i3−2i300-4400000000000000000000000002-2−2i32i30000000000000000000000000
χ734-44-44400-4-4-44-4440000-4-4400000000000000000000000000000000000000000000000000000000000000000000022−22000
χ744-44-44400-4-4-44-4440000-4-44000000000000000000000000000000000000000000000000000000000000000000000−2222000
χ754-4-4444-44-4-44-44-440000-44-40000-440000000000-440000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-4-424-4-22-2004i−4i2-220000-2200−2i2i−2i2i00004-4000004i−4i000-2200−2i2i−2i2i00000000000000000000000000000000000000
χ774-4-444-24-4-424-4-22-200−4i4i2-220000-22002i−2i2i−2i00004-400000−4i4i000-22002i−2i2i−2i00000000000000000000000000000000000000
χ784-4-444-2-44-424-4-22-200002-2200002-20023−23−23230000-4400000000002-20023−23−232300000000000000000000000000000000000000
χ794-4-444-2-44-424-4-22-200002-2200002-200−232323−230000-4400000000002-200−232323−2300000000000000000000000000000000000000
χ804-4-44-24-442-4-224-4-200002-2223−2300-44−232300002323−23−232-200000000002-2−2323000000000000000000000000000000000000000000
χ814-4-44-24-442-4-224-4-200002-22−232300-4423−230000−23−2323232-200000000002-223−23000000000000000000000000000000000000000000
χ824-4-44-2-24-422-22-221004i−4i-11-123−2300-2223−23−2i2i−2i2i−3−333-22000−2i32i3−2i2i0001-1−33i−ii−ii3−i3i3−i30000000000000000000000000000000000
χ834-4-44-2-24-422-22-221004i−4i-11-1−232300-22−2323−2i2i−2i2i33−3−3-220002i3−2i3−2i2i0001-13−3i−ii−i−i3i3−i3i30000000000000000000000000000000000
χ844-4-44-2-24-422-22-22100−4i4i-11-123−2300-2223−232i−2i2i−2i−3−333-220002i3−2i32i−2i0001-1−33−ii−ii−i3i3−i3i30000000000000000000000000000000000
χ854-4-44-2-24-422-22-22100−4i4i-11-1−232300-22−23232i−2i2i−2i33−3−3-22000−2i32i32i−2i0001-13−3−ii−iii3−i3i3−i30000000000000000000000000000000000
χ864-4-44-2-2-4422-22-2210000-11-123−23002-2−232323−23−2323−3−3332-20000000000-113−3−333−3-333-30000000000000000000000000000000000
χ874-4-44-2-2-4422-22-2210000-11-123−23002-2−2323−232323−23−3−3332-20000000000-113−33−3−333-3-330000000000000000000000000000000000
χ884-4-44-2-2-4422-22-2210000-11-1−2323002-223−2323−23−232333−3−32-20000000000-11−33−333−33-3-330000000000000000000000000000000000
χ894-4-44-2-2-4422-22-2210000-11-1−2323002-223−23−232323−2333−3−32-20000000000-11−333−3−33-333-30000000000000000000000000000000000
χ9088-8-8-4800-4844-8-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4-44444200002-2-200−4i34i3000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4-44444200002-2-2004i3−4i300000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ938-88-88-400-84-884-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-84-4-88-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400444-44-420000-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400444-44-420000-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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