Finite Group Databasebeta

← Group #11897645

Character table — Group #11897645

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666344446661212121212121212121212121212121212124441212121212121212121212121212121212121222444881212121244466812121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111111111111111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-111-11-11111-1-11-1-111-1-1-1111-1-1-111-1-1111-1-1
χ611111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11-11-1-1111111-1-1-1-1-111-1-1-111
χ711111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111-1111-1-111-11-111-1-1-1-1-1-111111-1-1-1-1-111
χ811111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-111-1-1111-1-1-1111-1-111111-1-1
χ9111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111111-1-11111-1-1111-1111-1-11-1-1-1-1-1-1-1-111-1
χ10111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-11-1-11-1-11-1-1111111-1-11
χ11111111111111111-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111-111-111-111-1-1-1-111-1-11
χ12111111111111111-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-111-1111111-1-111-1
χ13111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-1111111-11-1-1-111-1-1-11-1111-1-11-1-1-111-1-111-1-11-11
χ14111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-11111-1-1-11-11111-1-1-111-1-1-1111-1-1-11111-1-111-11-1
χ15111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-11111-1-1-1-1-1-11111111-11-1-1-1-1111-1-1111-1-1-1111-1-1-1-11111-11-1
χ16111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-11111-1-1-1-1-1-11111-1-11-1111-1-1111-11-1-1-111-1111-1-111-1-1-1-11-11
χ17222222-2-22222222002-222222-2-2000022-2-22222-2-22200000-200-2-20000-2-20000002-2-200222200000000-200-200000000000
χ18222222-2-22222222002-222222-2-2000022-2-22222-2-2-2-200000-200-2-20000-2-2000000-22200-2-2-2-200000000200200000000000
χ19222222-2-2222222200-22222-2-2-2-20000-2-222-2-2-2-2-2-22200000200-2-2000022000000-2-220022-2-200000000-200200000000000
χ20222222-2-2222222200-22222-2-2-2-20000-2-222-2-2-2-2-2-2-2-200000200-2-200002200000022-200-2-22200000000200-200000000000
χ2122222-122-12-12-12-12222-1-1-1-1-122222222-1-1-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000220000002-1-12-1-1000000-1-1-1-100000
χ2222222-122-12-12-12-12222-1-1-1-1-122222222-1-1-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000-2-2000000-211-211000000111100000
χ2322222-122-12-12-12-122-2-2-1-1-111222222-2-2111111-1-100-2-1-111-2-2-2-1-1-1-1-1-11111112200022000000-2-1-1-211000000-1-11100000
χ2422222-122-12-12-12-122-2-2-1-1-111222222-2-2111111-1-100-2-1-111-2-2-2-1-1-1-1-1-1111111-2-2000-2-20000002112-1-100000011-1-100000
χ2522222-122-12-12-12-1-2-222-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-100-211112-2-2-1-11111-1-1111122000-2-20000002-1-1-2-1-1000000111100000
χ2622222-122-12-12-12-1-2-222-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-100-211112-2-2-1-11111-1-11111-2-200022000000-211211000000-1-1-1-100000
χ2722222-122-12-12-12-1-2-2-2-2-1-1-11122-2-2-2-2-2-2111111-1-100211-1-1-222-1-1111111-1-1-1-122000-2-2000000-2-1-121100000011-1-100000
χ2822222-122-12-12-12-1-2-2-2-2-1-1-11122-2-2-2-2-2-2111111-1-100211-1-1-222-1-1111111-1-1-1-1-2-200022000000211-2-1-1000000-1-11100000
χ292222-12222-12-12-1-12222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022200-1-1-1-122000000-1-1-1-1-1-1000000000
χ302222-12222-12-12-1-12222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2001111-2-2000000111111000000000
χ312222-12222-12-12-1-122-2-2-1-1-1-2-2-1-1-1-1-1-111-2-211112222-222-2-2111-1-1-1-1-1-111111100-22-200-1-1112-2000000-1-1-1111000000000
χ322222-12222-12-12-1-122-2-2-1-1-1-2-2-1-1-1-1-1-111-2-2111122-2-2-222-2-2111-1-1-1-1-1-1111111002-220011-1-1-22000000111-1-1-1000000000
χ332222-12222-12-12-1-1-2-222-1-1-122-1-11111-1-122-1-1-1-12222-2-2-2-2-2-111-1-11111-1-111110022200-1-1-1-1-2-2000000-111-111000000000
χ342222-12222-12-12-1-1-2-222-1-1-122-1-11111-1-122-1-1-1-122-2-2-2-2-2-2-2-111-1-11111-1-1111100-2-2-2001111220000001-1-11-1-1000000000
χ352222-12222-12-12-1-1-2-2-2-2-1-1-1-2-2-1-1111111-2-2111122222-2-2221-1-1-1-1111111-1-1-1-100-22-200-1-111-22000000-1111-1-1000000000
χ362222-12222-12-12-1-1-2-2-2-2-1-1-1-2-2-1-1111111-2-2111122-2-22-2-2221-1-1-1-1111111-1-1-1-1002-220011-1-12-20000001-1-1-111000000000
χ372222-12-2-22-12-12-1-1002-2-1-1-12211−i3−i3i3i3-1-1-2-2-1-1-1-1-2-222000001−i3i311−i3−i3i3i311−i3−i3i3i3002-2-200-1-1-1-1000000001−i3i31−i3i3000000000
χ382222-12-2-22-12-12-1-1002-2-1-1-12211−i3−i3i3i3-1-1-2-2-1-1-1-1-2-2-2-2000001−i3i311−i3−i3i3i311−i3−i3i3i300-22200111100000000-1i3−i3-1i3−i3000000000
χ392222-12-2-22-12-12-1-1002-2-1-1-12211i3i3−i3−i3-1-1-2-2-1-1-1-1-2-222000001i3−i311i3i3−i3−i311i3i3−i3−i3002-2-200-1-1-1-1000000001i3−i31i3−i3000000000
χ402222-12-2-22-12-12-1-1002-2-1-1-12211i3i3−i3−i3-1-1-2-2-1-1-1-1-2-2-2-2000001i3−i311i3i3−i3−i311i3i3−i3−i300-22200111100000000-1−i3i3-1−i3i3000000000
χ412222-12-2-22-12-12-1-100-22-1-1-1-2-211−i3−i3i3i311221111-2-22200000-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i300-2-2200-1-111000000001−i3i3-1i3−i3000000000
χ422222-12-2-22-12-12-1-100-22-1-1-1-2-211−i3−i3i3i311221111-2-2-2-200000-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i30022-20011-1-100000000-1i3−i31−i3i3000000000
χ432222-12-2-22-12-12-1-100-22-1-1-1-2-211i3i3−i3−i311221111-2-22200000-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i300-2-2200-1-111000000001i3−i3-1−i3i3000000000
χ442222-12-2-22-12-12-1-100-22-1-1-1-2-211i3i3−i3−i311221111-2-2-2-200000-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i30022-20011-1-100000000-1−i3i31i3−i3000000000
χ4522-2-2222-2-222-2-2-222-200-22-2002-22-22-2000000002-20002-2000002-22-22-20000002-20002-200000002-20000000002-20000000
χ4622-2-2222-2-222-2-2-222-200-22-2002-22-22-2000000002-20002-2000002-22-22-2000000-22000-220000000-22000000000-220000000
χ4722-2-2222-2-222-2-2-22-2200-22-2002-2-22-22000000002-2000-22000002-2-22-220000002-2000-2200000002-2000000000-220000000
χ4822-2-2222-2-222-2-2-22-2200-22-2002-2-22-22000000002-2000-22000002-2-22-22000000-220002-20000000-220000000002-20000000
χ4922-2-22-12-212-1-21-2-12-2001-113−32-22-22-2003−333−3−3-11000-113−3000-11-11-113−33−33−32-20002-20000000-1103−3000000-113−300000
χ5022-2-22-12-212-1-21-2-12-2001-113−32-22-22-2003−333−3−3-11000-113−3000-11-11-113−33−33−3-22000-2200000001-10−330000001-1−3300000
χ5122-2-22-12-212-1-21-2-12-2001-11−332-22-22-200−33−3−333-11000-11−33000-11-11-11−33−33−332-20002-20000000-110−33000000-11−3300000
χ5222-2-22-12-212-1-21-2-12-2001-11−332-22-22-200−33−3−333-11000-11−33000-11-11-11−33−33−33-22000-2200000001-103−30000001-13−300000
χ5322-2-22-12-212-1-21-2-1-22001-113−32-2-22-22003−333−3−3-110001-1−33000-111-11-13−3−33−332-2000-220000000-1103−30000001-1−3300000
χ5422-2-22-12-212-1-21-2-1-22001-113−32-2-22-22003−333−3−3-110001-1−33000-111-11-13−3−33−33-220002-200000001-10−33000000-113−300000
χ5522-2-22-12-212-1-21-2-1-22001-11−332-2-22-2200−33−3−333-110001-13−3000-111-11-1−333−33−32-2000-220000000-110−330000001-13−300000
χ5622-2-22-12-212-1-21-2-1-22001-11−332-2-22-2200−33−3−333-110001-13−3000-111-11-1−333−33−3-220002-200000001-103−3000000-11−3300000
χ5744444-2-4-4-24-24-24-2004-4-2-2-2-2-2-4-400004422-2-2-2-2220000000-4002200002200000000000000000000000000000000000000
χ5844444-2-4-4-24-24-24-200-44-2-2-222-4-40000-4-4-2-22222220000000400220000-2-200000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2144-4-411122-2-2-2-2-2-22222-1-1-1-1-2-200-4-2-222222111111-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-444111-2-2-2-22222-2-2-2-21111-2-200-42222-22211-1-1-1-111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-411122-2-222222222-1-1-1-1-2-200422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-21004-4111-2-222−2i3−2i32i32i3-2-22211112200000002−2i32i3-1-1i3i3−i3−i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-21004-4111-2-2222i32i3−2i3−2i3-2-222111122000000022i3−2i3-1-1−i3−i3i3i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2100-441112222−2i3−2i32i32i322-2-2-1-1-1-1220000000-22i3−2i3-1-1i3i3−i3−i311−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2100-4411122222i32i3−2i3−2i322-2-2-1-1-1-1220000000-2−2i32i3-1-1−i3−i3i3i311i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444-44-444-4-4-440000-44-400-44000000000000-440000000000-4400000000000000000000000000000000000000000000
χ6844-4-44-2-4424-2-42-4-200002-2223−23-44000000−23232323−23−232-200000000002-20000−232300000000000000000000000000000000000000
χ6944-4-44-2-4424-2-42-4-200002-22−2323-4400000023−23−23−2323232-200000000002-2000023−2300000000000000000000000000000000000000
χ7044-4-4-244-4-4-242-42-24-4002-2200-22-22-22000000004-40004-400000-22-22-220000000000000000000000000000000000000000
χ7144-4-4-244-4-4-242-42-2-44002-2200-222-22-2000000004-4000-4400000-222-22-20000000000000000000000000000000000000000
χ7244-4-4-24-44-4-242-42-200002-22002-2−2i32i32i3−2i300000000-4400000000002-2−2i32i32i3−2i30000000000000000000000000000000000000000
χ7344-4-4-24-44-4-242-42-200002-22002-22i3−2i3−2i32i300000000-4400000000002-22i3−2i3−2i32i30000000000000000000000000000000000000000
χ7444-4-4-2-24-42-2-222214-400-11-123−23-22-22-220023−23−3−333-22000-2223−230001-11-11-1−33−33−330000000000000000000000000000000000
χ7544-4-4-2-24-42-2-222214-400-11-1−2323-22-22-2200−232333−3−3-22000-22−23230001-11-11-13−33−33−30000000000000000000000000000000000
χ7644-4-4-2-24-42-2-22221-4400-11-123−23-222-22-20023−23−3−333-220002-2−23230001-1-11-11−333−33−30000000000000000000000000000000000
χ7744-4-4-2-24-42-2-22221-4400-11-1−2323-222-22-200−232333−3−3-220002-223−230001-1-11-113−3−33−330000000000000000000000000000000000
χ7844-4-4-2-2-442-2-222210000-11-123−232-2−2i32i32i3−2i300−2323−3−3332-20000000000-11i3−i3−i3i33−3−3i3i3i−3i0000000000000000000000000000000000
χ7944-4-4-2-2-442-2-222210000-11-123−232-22i3−2i3−2i32i300−2323−3−3332-20000000000-11−i3i3i3−i33−33i−3i−3i3i0000000000000000000000000000000000
χ8044-4-4-2-2-442-2-222210000-11-1−23232-2−2i32i32i3−2i30023−2333−3−32-20000000000-11i3−i3−i3i3−333i−3i−3i3i0000000000000000000000000000000000
χ8144-4-4-2-2-442-2-222210000-11-1−23232-22i3−2i3−2i32i30023−2333−3−32-20000000000-11−i3i3i3−i3−33−3i3i3i−3i0000000000000000000000000000000000
χ824-44-444004-4-44-4-4400004-4-40000000000000000004-40000000000000000000000000004-40000000000000000000000000
χ834-44-444004-4-44-4-4400004-4-4000000000000000000-44000000000000000000000000000-440000000000000000000000000
χ844-44-4-240042-4-2-42-20000-22200000000−2i32i300−2i32i3−2i32i3004-4000000000000000000000000000-22−2i32i300000000000000000000000
χ854-44-4-240042-4-2-42-20000-22200000000−2i32i300−2i32i3−2i32i300-440000000000000000000000000002-22i3−2i300000000000000000000000
χ864-44-4-240042-4-2-42-20000-222000000002i3−2i3002i3−2i32i3−2i3004-4000000000000000000000000000-222i3−2i300000000000000000000000
χ874-44-4-240042-4-2-42-20000-222000000002i3−2i3002i3−2i32i3−2i300-440000000000000000000000000002-2−2i32i300000000000000000000000
χ884-4-444400-4-4-4-44440000-4-4400000000000000000000000000000000000000000000000000000000000000000000022−22000
χ894-4-444400-4-4-4-44440000-4-44000000000000000000000000000000000000000000000000000000000000000000000−2222000
χ908-88-88-400-4-8484-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400-444-444200002-2-200000000−4i34i3002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400-444-444200002-2-2000000004i3−4i300−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ938-8-888-4004-84-8-48-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800-84-848-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004444-4-420000-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004444-4-420000-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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