Finite Group Databasebeta

← Group #11889392

Character table — Group #11889392

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666663444466612121212121212121212121212121212121222412121212121212121212121212121212121212244446666884448121212121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-111111111111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-111111111111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-11-1-1-1-111-1-1-1-1111111-1-11
χ711111111111111111-1-111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-11
χ811111111111111111-1-111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111111111-1-111-1
χ9111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1111-111-1-1111-1-1-111-1-11-111-1-111-1-111-11-1
χ10111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-111-1-1-1-11-111-1-1111-111-1-1-1-111-1-11-11
χ11111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-11-1-11111-11-1-111-1-1-11-1-11111-1-1-1-11-11
χ12111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-11-1-111-1-1-1111-1-111-11-1-111-1-11111-11-1
χ13111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11111-1-111-1-1-1-1-1-11111-1111-111-1-1-1-1-11-1111-1-11-1-1-111-1-111-1-1-111
χ14111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11111-1-111-1-1-1-1-1-11111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1111-1-1
χ15111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-1-1-11111111-11-1-111-1-11-1-1111-1-1-1111-1-1-1-111111-1-1
χ16111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-1-1-111111-1-1-11-1-111111-11-1-1-111-1111-1-111-1-1-1-1-111
χ17222222-2-222222222-200222-2-222-2-2-2-20000-2-2-2-2-2-22202000000-2-22200000000-200-2222-2-20000000000-220000000000000
χ18222222-2-222222222-200222-2-222-2-2-2-20000-2-2-2-2-2-2-2-202000000-2-222000000002002-2-2-22200000000002-20000000000000
χ19222222-2-22222222-220022222-2-222-2-200002222-2-2220-2000000-2-2-2-200000000200-2-222220000000000-2-20000000000000
χ20222222-2-22222222-220022222-2-222-2-200002222-2-2-2-20-2000000-2-2-2-200000000-20022-2-2-2-20000000000220000000000000
χ2122222-122-12-122-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-120022-1-1-1-10022000000-1-1-1-1-1-1000000000
χ2222222-122-12-122-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-2-22-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2111100-2-2000000111111000000000
χ2322222-122-12-122-1-122-2-2-1-1-1-1-12222-1-11111-1-1-1-12222-2-1-2-211-2-2-1-1-1-11111111120022-1-1-1-100-2-2000000-1-11111000000000
χ2422222-122-12-122-1-122-2-2-1-1-1-1-12222-1-11111-1-1-1-122-2-2-2-1-2-211-2-2-1-1-1-111111111-200-2-21111002200000011-1-1-1-1000000000
χ2522222-122-12-122-1-1-2-222-1-1-111-2-2-2-2-1-1-1-1-1-111112222-21-2-21122-1-111-1-1-1-11111-2002-2-1-111002-2000000-11-1-111000000000
χ2622222-122-12-122-1-1-2-222-1-1-111-2-2-2-2-1-1-1-1-1-1111122-2-2-21-2-21122-1-111-1-1-1-11111200-2211-1-100-220000001-111-1-1000000000
χ2722222-122-12-122-1-1-2-2-2-2-1-1-111-2-2-2-2-1-11111111122222122-1-1-2-2-1-1111111-1-1-1-1-2002-2-1-11100-22000000-1111-1-1000000000
χ2822222-122-12-122-1-1-2-2-2-2-1-1-111-2-2-2-2-1-11111111122-2-22122-1-1-2-2-1-1111111-1-1-1-1200-2211-1-1002-20000001-1-1-111000000000
χ2922222-1-2-2-12-122-1-12-200-1-1-11122-2-211−i3−i3i3i31111-2-2220-100−i3i30011-1-1−i3−i3i3i3−i3−i3i3i3-200-22-1-11100000000001-1−i3i3−i3i3000000000
χ3022222-1-2-2-12-122-1-12-200-1-1-11122-2-211−i3−i3i3i31111-2-2-2-20-100−i3i30011-1-1−i3−i3i3i3−i3−i3i3i32002-211-1-10000000000-11i3−i3i3−i3000000000
χ3122222-1-2-2-12-122-1-12-200-1-1-11122-2-211i3i3−i3−i31111-2-2220-100i3−i30011-1-1i3i3−i3−i3i3i3−i3−i3-200-22-1-11100000000001-1i3−i3i3−i3000000000
χ3222222-1-2-2-12-122-1-12-200-1-1-11122-2-211i3i3−i3−i31111-2-2-2-20-100i3−i30011-1-1i3i3−i3−i3i3i3−i3−i32002-211-1-10000000000-11−i3i3−i3i3000000000
χ3322222-1-2-2-12-122-1-1-2200-1-1-1-1-1-2-22211−i3−i3i3i3-1-1-1-1-2-2220100i3−i3001111−i3−i3i3i3i3i3−i3−i3200-2-2-1-1-1-1000000000011−i3i3i3−i3000000000
χ3422222-1-2-2-12-122-1-1-2200-1-1-1-1-1-2-22211−i3−i3i3i3-1-1-1-1-2-2-2-20100i3−i3001111−i3−i3i3i3i3i3−i3−i3-2002211110000000000-1-1i3−i3−i3i3000000000
χ3522222-1-2-2-12-122-1-1-2200-1-1-1-1-1-2-22211i3i3−i3−i3-1-1-1-1-2-2220100−i3i3001111i3i3−i3−i3−i3−i3i3i3200-2-2-1-1-1-1000000000011i3−i3−i3i3000000000
χ3622222-1-2-2-12-122-1-1-2200-1-1-1-1-1-2-22211i3i3−i3−i3-1-1-1-1-2-2-2-20100−i3i3001111i3i3−i3−i3−i3−i3i3i3-2002211110000000000-1-1−i3i3i3−i3000000000
χ372222-12222-12-1-12-12222-1-1-122-1-1-1-1222222-1-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000220022-1-1-1-1000000-1-1-1-100000
χ382222-12222-12-1-12-12222-1-1-122-1-1-1-1222222-1-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000-2-200-2-21111000000111100000
χ392222-12222-12-1-12-122-2-2-1-1-122-1-1-1-122-2-2-2-2-1-1-1-1-1-100-2211-2-211-1-1-1-111111111022000000-2-2002-2-1-1-1-1000000111100000
χ402222-12222-12-1-12-122-2-2-1-1-122-1-1-1-122-2-2-2-2-1-1-1-1-1-100-2211-2-211-1-1-1-1111111110-2-20000002200-221111000000-1-1-1-100000
χ412222-12222-12-1-12-1-2-222-1-1-1-2-211112222221111-1-100-2-211-2-2-1-1-1-111-1-1-1-111110220000002200-2-2-1-111000000-1-11100000
χ422222-12222-12-1-12-1-2-222-1-1-1-2-211112222221111-1-100-2-211-2-2-1-1-1-111-1-1-1-111110-2-2000000-2-2002211-1-100000011-1-100000
χ432222-12222-12-1-12-1-2-2-2-2-1-1-1-2-2111122-2-2-2-21111-1-1002-2-1-12211-1-1111111-1-1-1-1022000000-2-200-22-1-11100000011-1-100000
χ442222-12222-12-1-12-1-2-2-2-2-1-1-1-2-2111122-2-2-2-21111-1-1002-2-1-12211-1-1111111-1-1-1-10-2-200000022002-211-1-1000000-1-11100000
χ452-2-22222-2-2-2-2-2222002-2-22-20000002-22-22-200002-2000000002-22-2002-22-2000002i−2i0000002i−2i00002i−2i000000002i−2i0000000
χ462-2-22222-2-2-2-2-2222002-2-22-20000002-22-22-200002-2000000002-22-2002-22-200000−2i2i000000−2i2i0000−2i2i00000000−2i2i0000000
χ472-2-22222-2-2-2-2-222200-22-22-20000002-2-22-2200002-200000000-222-200-22-22000002i−2i000000−2i2i00002i−2i00000000−2i2i0000000
χ482-2-22222-2-2-2-2-222200-22-22-20000002-2-22-2200002-200000000-222-200-22-2200000−2i2i0000002i−2i0000−2i2i000000002i−2i0000000
χ492-2-22-122-2-21-21-12-1002-21-11003−33−32-22-22-233−3−3-1100003−300-11-113−3-11-113−33−302i−2i0000002i−2i0000−ii−i3i3000000−ii−i3i300000
χ502-2-22-122-2-21-21-12-1002-21-11003−33−32-22-22-233−3−3-1100003−300-11-113−3-11-113−33−30−2i2i000000−2i2i0000i−ii3−i3000000i−ii3−i300000
χ512-2-22-122-2-21-21-12-1002-21-1100−33−332-22-22-2−3−333-110000−3300-11-11−33-11-11−33−3302i−2i0000002i−2i0000−iii3−i3000000−iii3−i300000
χ522-2-22-122-2-21-21-12-1002-21-1100−33−332-22-22-2−3−333-110000−3300-11-11−33-11-11−33−330−2i2i000000−2i2i0000i−i−i3i3000000i−i−i3i300000
χ532-2-22-122-2-21-21-12-100-221-11003−33−32-2-22-2233−3−3-110000−33001-1-113−31-11-1−33−3302i−2i000000−2i2i0000−ii−i3i3000000i−ii3−i300000
χ542-2-22-122-2-21-21-12-100-221-11003−33−32-2-22-2233−3−3-110000−33001-1-113−31-11-1−33−330−2i2i0000002i−2i0000i−ii3−i3000000−ii−i3i300000
χ552-2-22-122-2-21-21-12-100-221-1100−33−332-2-22-22−3−333-1100003−3001-1-11−331-11-13−33−302i−2i000000−2i2i0000−iii3−i3000000i−i−i3i300000
χ562-2-22-122-2-21-21-12-100-221-1100−33−332-2-22-22−3−333-1100003−3001-1-11−331-11-13−33−30−2i2i0000002i−2i0000i−i−i3i3000000−iii3−i300000
χ574444-24-4-44-24-2-24-24-400-2-2-2-4-4-2-222-4-40000222222000400000022-2-2000000000000000000000000000000000000000000
χ584444-24-4-44-24-2-24-2-4400-2-2-24422-2-2-4-40000-2-2-2-222000-40000002222000000000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-2-222221111-2-200-4-22222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-444111222222-2-2-2-2-2-2-1-1-1-1-2-200-422222-2-211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-4111222222-2-22222-1-1-1-1-2-20042-2-2-2-22211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-214-40011122-2-22222−2i3−2i32i32i3-1-1-1-122000-200−2i32i300-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-214-40011122-2-222222i32i3−2i3−2i3-1-1-1-122000-2002i3−2i300-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-21-4400111-2-222-2-222−2i3−2i32i32i31111220002002i3−2i300-1-1-1-1i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-21-4400111-2-222-2-2222i32i3−2i3−2i3111122000200−2i32i300-1-1-1-1−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-444-4-4-440000-4-4400000000000000000000000000000000000000000000000000000000000000000000022−22000
χ6844-4-44400-444-4-4-440000-4-44000000000000000000000000000000000000000000000000000000000000000000000−2222000
χ694-44-444004-4-44-4-4400004-4-40000000000000000004-400000000000000000000000004-4000000000000000000000000000
χ704-44-444004-4-44-4-4400004-4-4000000000000000000-440000000000000000000000000-44000000000000000000000000000
χ714-44-44-200-2-424-42-20000-222−2i32i30000000000−2i32i3−2i32i3004-40000000000000000000000000-22−2i32i30000000000000000000000000
χ724-44-44-200-2-424-42-20000-222−2i32i30000000000−2i32i3−2i32i300-4400000000000000000000000002-22i3−2i30000000000000000000000000
χ734-44-44-200-2-424-42-20000-2222i3−2i300000000002i3−2i32i3−2i3004-40000000000000000000000000-222i3−2i30000000000000000000000000
χ744-44-44-200-2-424-42-20000-2222i3−2i300000000002i3−2i32i3−2i300-4400000000000000000000000002-2−2i32i30000000000000000000000000
χ754-4-4444-44-4-4-4-44440000-44-4000000-4400000000-440000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-42-42-44-2-2004-42-22000000-22-22-2200004-4000000004-4-2200-22-2200000000000000000000000000000000000000
χ774-4-444-24-42-42-44-2-200-442-22000000-222-22-200004-400000000-44-22002-22-200000000000000000000000000000000000000
χ784-4-444-2-442-42-44-2-200002-220000002-2−2i32i32i3−2i30000-4400000000002-200−2i32i32i3−2i300000000000000000000000000000000000000
χ794-4-444-2-442-42-44-2-200002-220000002-22i3−2i3−2i32i30000-4400000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000
χ804-4-44-24-44-42-42-24-200002-220023−23−2323-440000−23−2323232-200000000002-223−23000000000000000000000000000000000000000000
χ814-4-44-24-44-42-42-24-200002-2200−232323−23-4400002323−23−232-200000000002-2−2323000000000000000000000000000000000000000000
χ824-4-44-2-24-42222-2-21004-4-11-10023−2323−23-22-22-22−3−333-22000023−2300-221-1−331-11-1−33−330000000000000000000000000000000000
χ834-4-44-2-24-42222-2-21004-4-11-100−2323−2323-22-22-2233−3−3-220000−232300-221-13−31-11-13−33−30000000000000000000000000000000000
χ844-4-44-2-24-42222-2-2100-44-11-10023−2323−23-222-22-2−3−333-220000−2323002-21-1−33-11-113−33−30000000000000000000000000000000000
χ854-4-44-2-24-42222-2-2100-44-11-100−2323−2323-222-22-233−3−3-22000023−23002-21-13−3-11-11−33−330000000000000000000000000000000000
χ864-4-44-2-2-442222-2-210000-11-10023−23−23232-2−2i32i32i3−2i333−3−32-20000000000-11−33i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000
χ874-4-44-2-2-442222-2-210000-11-10023−23−23232-22i3−2i3−2i32i333−3−32-20000000000-11−33−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000
χ884-4-44-2-2-442222-2-210000-11-100−232323−232-2−2i32i32i3−2i3−3−3332-20000000000-113−3i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000
χ894-4-44-2-2-442222-2-210000-11-100−232323−232-22i3−2i3−2i32i3−3−3332-20000000000-113−3−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000
χ9088-8-88-40048-4-8-84-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-8-4844-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-4-444420000-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4004-4-444420000-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ948-88-8-480084-8-44-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400-444-444200002-2-2−4i34i300000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-444-444200002-2-24i3−4i30000000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000

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