Finite Group Databasebeta

← Group #11895955

Character table — Group #11895955

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666344446661212121212121212121212121212121212124441212121212121212121212121212121212121244444881212121224466812121212121212122424242488228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-11-1-1-1-111111-1-1-111-1-1111-1-1
χ611111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1111-1-1111-1-1-1-1-111-1-1-111
χ711111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-1-111111-1-1-1-1-111
χ811111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-11-11111-1-1-1-1-1111-1-111111-1-1
χ9111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111111-1-111111-1-111-1111-1-11-1-1-1-1-1-1-1-111-1
χ10111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-11-1-11-1-11-1-1111111-1-11
χ11111111111111111-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-111-111-1-1-1-111-1-11
χ12111111111111111-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-111-1111111-1-111-1
χ13111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-111111-1-111-1-1-1-111-1-11-1-11111-1-1-111-1-111-1-11-11
χ14111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-111111-1-1-1-111-1-1111-1111-1-1-11-1-1-11111-1-111-11-1
χ15111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-11111-1-1-1-1-1-11111-11111-1-111-1-1-11-1-1-1111-1111-1-1-1-11111-11-1
χ16111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-11111-1-1-1-1-1-11111-111-1-11111-1-111-111-1-1-1-1111-1-111-1-1-1-11-11
χ17222222-2-22222222002-222222-2-20000-2-2222222-2-22200000-200-2-20000-2-20000-22-20000222200000000-200-200000000000
χ18222222-2-22222222002-222222-2-20000-2-2222222-2-2-2-200000-200-2-20000-2-200002-220000-2-2-2-200000000200200000000000
χ19222222-2-2222222200-22222-2-2-2-2000022-2-2-2-2-2-2-2-22200000200-2-20000220000-2-220000-2-22200000000-200200000000000
χ20222222-2-2222222200-22222-2-2-2-2000022-2-2-2-2-2-2-2-2-2-200000200-2-2000022000022-2000022-2-200000000200-200000000000
χ2122222-122-12-1-122-12222-1-1-1-1-1222222-1-122-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100022220000200-1-12-1-1000000-1-1-1-100000
χ2222222-122-12-1-122-12222-1-1-1-1-1222222-1-122-1-1-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000-2-2-2-20000-20011-211000000111100000
χ2322222-122-12-1-122-122-2-2-1-1-11122222211-2-21111-1-100-2-1-111-2-2-2-1-1-1-1-1-111111100022220000-20011-2-1-1000000-1-11100000
χ2422222-122-12-1-122-122-2-2-1-1-11122222211-2-21111-1-100-2-1-111-2-2-2-1-1-1-1-1-1111111000-2-2-2-20000200-1-121100000011-1-100000
χ2522222-122-12-1-122-1-2-222-1-1-1-1-122-2-2-2-2-1-122-1-1-1-1-1-100-211112-2-2-1-11111-1-1111100022-2-20000200-1-1-2-1-1000000111100000
χ2622222-122-12-1-122-1-2-222-1-1-1-1-122-2-2-2-2-1-122-1-1-1-1-1-100-211112-2-2-1-11111-1-11111000-2-2220000-20011211000000-1-1-1-100000
χ2722222-122-12-1-122-1-2-2-2-2-1-1-11122-2-2-2-211-2-21111-1-100211-1-1-222-1-1111111-1-1-1-100022-2-20000-200112-1-100000011-1-100000
χ2822222-122-12-1-122-1-2-2-2-2-1-1-11122-2-2-2-211-2-21111-1-100211-1-1-222-1-1111111-1-1-1-1000-2-2220000200-1-1-211000000-1-11100000
χ292222-12222-122-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12220000-1-1-1-102200000-1-1-1-1-1-1000000000
χ302222-12222-122-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000011110-2-200000111111000000000
χ312222-12222-122-1-1-122-2-2-1-1-1-2-2-1-1-1-1-1-1-2-21111112222-222-2-2111-1-1-1-1-1-11111112-2-2000011-1-102-200000-1-1-1111000000000
χ322222-12222-122-1-1-122-2-2-1-1-1-2-2-1-1-1-1-1-1-2-211111122-2-2-222-2-2111-1-1-1-1-1-1111111-2220000-1-1110-2200000111-1-1-1000000000
χ332222-12222-122-1-1-1-2-222-1-1-122-1-1111122-1-1-1-1-1-12222-2-2-2-2-2-111-1-11111-1-111112220000-1-1-1-10-2-200000-111-111000000000
χ342222-12222-122-1-1-1-2-222-1-1-122-1-1111122-1-1-1-1-1-122-2-2-2-2-2-2-2-111-1-11111-1-11111-2-2-200001111022000001-1-11-1-1000000000
χ352222-12222-122-1-1-1-2-2-2-2-1-1-1-2-2-1-11111-2-211111122222-2-2221-1-1-1-1111111-1-1-1-12-2-2000011-1-10-2200000-1111-1-1000000000
χ362222-12222-122-1-1-1-2-2-2-2-1-1-1-2-2-1-11111-2-211111122-2-22-2-2221-1-1-1-1111111-1-1-1-1-2220000-1-11102-2000001-1-1-111000000000
χ372222-12-2-22-122-1-1-1002-2-1-1-12211−i3−i3i3i3-2-2-1-1-1-1-1-1-2-222000001−i3i311−i3−i3i3i311−i3−i3i3i3-22-20000-1-1-1-1000000001−i3i31−i3i3000000000
χ382222-12-2-22-122-1-1-1002-2-1-1-12211−i3−i3i3i3-2-2-1-1-1-1-1-1-2-2-2-2000001−i3i311−i3−i3i3i311−i3−i3i3i32-220000111100000000-1i3−i3-1i3−i3000000000
χ392222-12-2-22-122-1-1-1002-2-1-1-12211i3i3−i3−i3-2-2-1-1-1-1-1-1-2-222000001i3−i311i3i3−i3−i311i3i3−i3−i3-22-20000-1-1-1-1000000001i3−i31i3−i3000000000
χ402222-12-2-22-122-1-1-1002-2-1-1-12211i3i3−i3−i3-2-2-1-1-1-1-1-1-2-2-2-2000001i3−i311i3i3−i3−i311i3i3−i3−i32-220000111100000000-1−i3i3-1−i3i3000000000
χ412222-12-2-22-122-1-1-100-22-1-1-1-2-211−i3−i3i3i322111111-2-22200000-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i3-2-22000011-1-1000000001−i3i3-1i3−i3000000000
χ422222-12-2-22-122-1-1-100-22-1-1-1-2-211−i3−i3i3i322111111-2-2-2-200000-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i322-20000-1-11100000000-1i3−i31−i3i3000000000
χ432222-12-2-22-122-1-1-100-22-1-1-1-2-211i3i3−i3−i322111111-2-22200000-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i3-2-22000011-1-1000000001i3−i3-1−i3i3000000000
χ442222-12-2-22-122-1-1-100-22-1-1-1-2-211i3i3−i3−i322111111-2-2-2-200000-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i322-20000-1-11100000000-1−i3i31i3−i3000000000
χ4522-2-222-22-222-2-2-222-200-22-2002-22-22-2000000002-20002-2000002-22-22-20000000002i−2i2i−2i00000000002i−2i0000002i−2i0000000
χ4622-2-222-22-222-2-2-222-200-22-2002-22-22-2000000002-20002-2000002-22-22-2000000000−2i2i−2i2i0000000000−2i2i000000−2i2i0000000
χ4722-2-222-22-222-2-2-22-2200-22-2002-2-22-22000000002-2000-22000002-2-22-220000000002i−2i−2i2i00000000002i−2i000000−2i2i0000000
χ4822-2-222-22-222-2-2-22-2200-22-2002-2-22-22000000002-2000-22000002-2-22-22000000000−2i2i2i−2i0000000000−2i2i0000002i−2i0000000
χ4922-2-22-1-2212-11-2-2-12-2001-113−32-22-22-23−30033−3−3-11000-113−3000-11-11-113−33−33−30002i−2i2i−2i0000000−i3i30−ii000000−ii−i3i300000
χ5022-2-22-1-2212-11-2-2-12-2001-113−32-22-22-23−30033−3−3-11000-113−3000-11-11-113−33−33−3000−2i2i−2i2i0000000i3−i30i−i000000i−ii3−i300000
χ5122-2-22-1-2212-11-2-2-12-2001-11−332-22-22-2−3300−3−333-11000-11−33000-11-11-11−33−33−330002i−2i2i−2i0000000i3−i30−ii000000−iii3−i300000
χ5222-2-22-1-2212-11-2-2-12-2001-11−332-22-22-2−3300−3−333-11000-11−33000-11-11-11−33−33−33000−2i2i−2i2i0000000−i3i30i−i000000i−i−i3i300000
χ5322-2-22-1-2212-11-2-2-1-22001-113−32-2-22-223−30033−3−3-110001-1−33000-111-11-13−3−33−330002i−2i−2i2i0000000−i3i30−ii000000i−ii3−i300000
χ5422-2-22-1-2212-11-2-2-1-22001-113−32-2-22-223−30033−3−3-110001-1−33000-111-11-13−3−33−33000−2i2i2i−2i0000000i3−i30i−i000000−ii−i3i300000
χ5522-2-22-1-2212-11-2-2-1-22001-11−332-2-22-22−3300−3−333-110001-13−3000-111-11-1−333−33−30002i−2i−2i2i0000000i3−i30−ii000000i−i−i3i300000
χ5622-2-22-1-2212-11-2-2-1-22001-11−332-2-22-22−3300−3−333-110001-13−3000-111-11-1−333−33−3000−2i2i2i−2i0000000−i3i30i−i000000−iii3−i300000
χ5744444-2-4-4-24-2-244-2004-4-2-2-2-2-2-4-400002244-2-2-2-2220000000-4002200002200000000000000000000000000000000000000
χ5844444-2-4-4-24-2-244-200-44-2-2-222-4-40000-2-2-4-42222220000000400220000-2-200000000000000000000000000000000000000
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
χ634444-2-2-4-4-2-2-2-2-2-21004-4111-2-222−2i3−2i32i32i322-2-211112200000002−2i32i3-1-1i3i3−i3−i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-21004-4111-2-2222i32i3−2i3−2i322-2-2111122000000022i3−2i3-1-1−i3−i3i3i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2100-441112222−2i3−2i32i32i3-2-222-1-1-1-1220000000-22i3−2i3-1-1i3i3−i3−i311−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2100-4411122222i32i3−2i3−2i3-2-222-1-1-1-1220000000-2−2i32i3-1-1−i3−i3i3i311i3i3−i3−i30000000000000000000000000000000000
χ6744-4-4444-4-444-4-4-440000-44-400-44000000000000-440000000000-4400000000000000000000000000000000000000000000
χ6844-4-44-24-424-22-4-4-200002-2223−23-440000−2323002323−23−232-200000000002-20000−232300000000000000000000000000000000000000
χ6944-4-44-24-424-22-4-4-200002-22−2323-44000023−2300−23−2323232-200000000002-2000023−2300000000000000000000000000000000000000
χ7044-4-4-244-4-4-24-422-200002-22002-2−2i32i32i3−2i300000000-4400000000002-2−2i32i32i3−2i30000000000000000000000000000000000000000
χ7144-4-4-244-4-4-24-422-200002-22002-22i3−2i3−2i32i300000000-4400000000002-22i3−2i3−2i32i30000000000000000000000000000000000000000
χ7244-4-4-24-44-4-24-422-24-4002-2200-22-22-22000000004-40004-400000-22-22-220000000000000000000000000000000000000000
χ7344-4-4-24-44-4-24-422-2-44002-2200-222-22-2000000004-4000-4400000-222-22-20000000000000000000000000000000000000000
χ7444-4-4-2-24-42-2-222210000-11-123−232-2−2i32i32i3−2i3−232300−3−3332-20000000000-11i3−i3−i3i33−3−3i3i3i−3i0000000000000000000000000000000000
χ7544-4-4-2-24-42-2-222210000-11-123−232-22i3−2i3−2i32i3−232300−3−3332-20000000000-11−i3i3i3−i33−33i−3i−3i3i0000000000000000000000000000000000
χ7644-4-4-2-24-42-2-222210000-11-1−23232-2−2i32i32i3−2i323−230033−3−32-20000000000-11i3−i3−i3i3−333i−3i−3i3i0000000000000000000000000000000000
χ7744-4-4-2-24-42-2-222210000-11-1−23232-22i3−2i3−2i32i323−230033−3−32-20000000000-11−i3i3i3−i3−33−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-4-2-2-442-2-222214-400-11-123−23-22-22-2223−2300−3−333-22000-2223−230001-11-11-1−33−33−330000000000000000000000000000000000
χ7944-4-4-2-2-442-2-222214-400-11-1−2323-22-22-22−23230033−3−3-22000-22−23230001-11-11-13−33−33−30000000000000000000000000000000000
χ8044-4-4-2-2-442-2-22221-4400-11-123−23-222-22-223−2300−3−333-220002-2−23230001-1-11-11−333−33−30000000000000000000000000000000000
χ8144-4-4-2-2-442-2-22221-4400-11-1−2323-222-22-2−23230033−3−3-220002-223−230001-1-11-113−3−33−330000000000000000000000000000000000
χ824-44-444004-4-4-44-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ834-44-444004-4-4-44-4400004-4-40000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ844-4-444400-4-4-44-4440000-4-440000000000000000004-4000000000000000000000000000004-400000000000000000000000
χ854-4-444400-4-4-44-4440000-4-44000000000000000000-4400000000000000000000000000000-4400000000000000000000000
χ864-4-44-2400-42-442-2-2000022-2000000000023−2323−2323−23004-400000000000000000000000000023−23-2200000000000000000000000
χ874-4-44-2400-42-442-2-2000022-2000000000023−2323−2323−2300-44000000000000000000000000000−23232-200000000000000000000000
χ884-4-44-2400-42-442-2-2000022-20000000000−2323−2323−2323004-4000000000000000000000000000−2323-2200000000000000000000000
χ894-4-44-2400-42-442-2-2000022-20000000000−2323−2323−232300-4400000000000000000000000000023−232-200000000000000000000000
χ908-88-88-400-4-8448-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-480084-8-8-44-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400-4444-44200002-2-20000000000006-6-660000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-4444-44200002-2-2000000000000-666-60000000000000000000000000000000000000000000000000000000000
χ948-8-888-4004-84-4-88-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-44-420000-2-22000000000043−43−2323−23230000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400444-44-420000-2-220000000000−434323−2323−230000000000000000000000000000000000000000000000000000000000

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