Finite Group Databasebeta

← Group #11895161

Character table — Group #11895161

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212124444441212121212121212121212122244448888121212121212121212121212121288884466121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-11-1-1-1-11111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-11-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-111
χ9111111-1-1111111111-11111-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-111111-11111-1-111-1-111111-111-1-11111-1-111-1-1-1-11-111-1-1-1-11-1
χ10111111-1-1111111111-11111-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-111-1-11-111-1-11111-1-111111-111-1-1-1-1-1-1-11-1-111-1-11-1-1-11111-11
χ11111111-1-1111111111-11111-1-1-1-111111-1-1-11-1-1-111-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11-111-1-1111-1-1-111111-1
χ12111111-1-1111111111-11111-1-1-1-111111-1-1-11-1-1-111-1-1-1-1-111-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111111111-1-111111-111-1-1-1-1-11
χ13111111-1-1111111111-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11-111-1-111-1111-1-111-11
χ14111111-1-1111111111-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-111-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-11111-11-1-111-1-11-1
χ15111111-1-1111111111-11111-1-1-1-1111-1-111-11-1-1-111-1-1-1-1-11111-1111-1-111-1-1111111-11-1-1111111-1-111-1-1-1-1-11-1-111-1-1-11
χ16111111-1-1111111111-11111-1-1-1-1111-1-111-11-1-1-111-1-1-1-1-111-1-1-111111-1-1-1-1111111-11-1-111-1-1-1-1-11-1-111-1-1-1111-1-1111-1
χ1722222222-2-22222222-2222-22222-2-2-2222200-20000-222-2-2-2-200-2-200000022220000000000000000000000-2-200000000
χ1822222222-2-22222222-2222-22222-2-2-2-2-2-2-200-20000-222-2-2-2-20022000000-2-2-2-200000000000000000000002200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200200002-2-222-2-200-2200000022-2-20000000000000000000000-2200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200200002-2-222-2-2002-2000000-2-22200000000000000000000002-200000000
χ2122222-12222-1-12-122-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1220000222200000000-1-1-1-1-1-1000002-1-1-1-10000-1-1-1-10000
χ2222222-12222-1-12-122-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1-2-20000-2-2-2-200000000-1-1-1-1-1-100000-21111000011110000
χ2322222-12222-1-12-122-12-1-1-1-122-1-122-10000-2-2-1-2-2-2-22-1-1-1-1-1-1220000-2-2-2-200000000111111000002-1-1-1-1000011110000
χ2422222-12222-1-12-122-12-1-1-1-122-1-122-10000-2-2-1-2-2-2-22-1-1-1-1-1-1-2-2000022220000000011111100000-211110000-1-1-1-10000
χ2522222-1-2-222-1-12-122-1-2-1-1-1-1-2-21122-100002-2122-2-2-21111-1-122000022-2-200000000-11-1-11100000-2-1-1110000-1-1110000
χ2622222-1-2-222-1-12-122-1-2-1-1-1-1-2-21122-100002-2122-2-2-21111-1-1-2-20000-2-22200000000-11-1-11100000211-1-1000011-1-10000
χ2722222-1-2-222-1-12-122-1-2-1-1-1-1-2-21122-10000-221-2-222-21111-1-1220000-2-222000000001-111-1-100000-2-1-111000011-1-10000
χ2822222-1-2-222-1-12-122-1-2-1-1-1-1-2-21122-10000-221-2-222-21111-1-1-2-2000022-2-2000000001-111-1-100000211-1-10000-1-1110000
χ292222-12222222-12-1-1-12-1-1-12-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-122-1-1-1-10000200000-1-1-1-100000000
χ302222-12222222-12-1-1-12-1-1-12-1-122-1-122222-2-221111-1-1-1-1-1-1-10022-2-20000-1-1-1-11111-2-211110000-20000011-1-100000000
χ312222-12222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111111122-1-1-1-10000-200000111100000000
χ322222-12222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-2-2-221111-1-1-1-1-1-1-100-2-22200001111-1-1-1-1-2-211110000200000-1-11100000000
χ332222-1222-2-222-12-1-1-1-2-1-1-1-2-1-12211-2222200-2−i3i3−i3i31-1-1111100-2-2000000-1-1-1-1−i3−i3i3i300−i3i3−i3i30000000000−i3i31100000000
χ342222-1222-2-222-12-1-1-1-2-1-1-1-2-1-12211-2222200-2i3−i3i3−i31-1-1111100-2-2000000-1-1-1-1i3i3−i3−i300i3−i3i3−i30000000000i3−i31100000000
χ352222-1222-2-222-12-1-1-1-2-1-1-1-2-1-12211-2-2-2-2-200-2−i3i3−i3i31-1-1111100220000001111i3i3−i3−i300−i3i3−i3i30000000000i3−i3-1-100000000
χ362222-1222-2-222-12-1-1-1-2-1-1-1-2-1-12211-2-2-2-2-200-2i3−i3i3−i31-1-1111100220000001111−i3−i3i3i300i3−i3i3−i30000000000−i3i3-1-100000000
χ372222-12-2-22222-12-1-1-1-2-1-1-1211-2-2-1-1222-2-22-2-2-1-11111111-1-1002-2220000-1-111-1-1-1-12-2-1-1110000-20000011-1100000000
χ382222-12-2-22222-12-1-1-1-2-1-1-1211-2-2-1-1222-2-2-22-211-1-111111-1-1002-2-2-20000-1-1111111-2211-1-10000200000-1-1-1100000000
χ392222-12-2-22222-12-1-1-1-2-1-1-1211-2-2-1-12-2-2222-2-2-1-11111111-1-100-22-2-2000011-1-111112-2-1-1110000200000-1-11-100000000
χ402222-12-2-22222-12-1-1-1-2-1-1-1211-2-2-1-12-2-222-22-211-1-111111-1-100-2222000011-1-1-1-1-1-1-2211-1-10000-200000111-100000000
χ412222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-2002−i3i3i3−i3-111-1-11100-22000000-1-111−i3−i3i3i300−i3i3i3−i30000000000i3−i31-100000000
χ422222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-2002i3−i3−i3i3-111-1-11100-22000000-1-111i3i3−i3−i300i3−i3−i3i30000000000−i3i31-100000000
χ432222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2-2-222002−i3i3i3−i3-111-1-111002-200000011-1-1i3i3−i3−i300−i3i3i3−i30000000000−i3i3-1100000000
χ442222-12-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2-2-222002i3−i3−i3i3-111-1-111002-200000011-1-1−i3−i3i3i300i3−i3−i3i30000000000i3−i3-1100000000
χ4522-2-22200-22-22-2-22-220-2-22-200002-2200000000000000002-22-2002i−2i000000002i−2i2i−2i0000002i2i−2i−2i002-200000000000000
χ4622-2-22200-22-22-2-22-220-2-22-200002-2200000000000000002-22-200−2i2i00000000−2i2i−2i2i000000−2i−2i2i2i002-200000000000000
χ4722-2-22200-22-22-2-22-220-2-22-200002-2200000000000000002-2-22002i−2i000000002i−2i2i−2i000000−2i−2i2i2i00-2200000000000000
χ4822-2-22200-22-22-2-22-220-2-22-200002-2200000000000000002-2-2200−2i2i00000000−2i2i−2i2i0000002i2i−2i−2i00-2200000000000000
χ492-2-22222-200-2-222-2-2202-2-202-22-20002-22-2000000002-20000000000−i2i2−i2i22-22-20000000000−i2i2−i2i20000000000−i2i2−i2i2−i2i200
χ502-2-22222-200-2-222-2-2202-2-202-22-20002-22-2000000002-20000000000i2−i2i2−i22-22-20000000000i2−i2i2−i20000000000i2−i2i2−i2i2−i200
χ512-2-22222-200-2-222-2-2202-2-202-22-2000-22-22000000002-20000000000−i2i2−i2i2-22-220000000000i2−i2i2−i20000000000−i2i2−i2i2i2−i200
χ522-2-22222-200-2-222-2-2202-2-202-22-2000-22-22000000002-20000000000i2−i2i2−i2-22-220000000000−i2i2−i2i20000000000i2−i2i2−i2−i2i200
χ532-2-2222-2200-2-222-2-2202-2-20-22-220002-2-2200000000-220000000000−i2i2i2−i22-2-220000000000−i2i2−i2i20000000000−i2i2i2−i2i2−i200
χ542-2-2222-2200-2-222-2-2202-2-20-22-220002-2-2200000000-220000000000i2−i2−i2i22-2-220000000000i2−i2i2−i20000000000i2−i2−i2i2−i2i200
χ552-2-2222-2200-2-222-2-2202-2-20-22-22000-222-200000000-220000000000−i2i2i2−i2-222-20000000000i2−i2i2−i20000000000−i2i2i2−i2−i2i200
χ562-2-2222-2200-2-222-2-2202-2-20-22-22000-222-200000000-220000000000i2−i2−i2i2-222-20000000000−i2i2−i2i20000000000i2−i2−i2i2i2−i200
χ5744444-244-4-4-2-24-244-2-4-2-2-2244-2-2-4-4200000020000-4-2-222220000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-24-244-24-2-2-22-4-422-4-42000000-20000422-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-22222-211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-22220000002−2i32i3−2i32i3211-1-1-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-222200000022i3−2i32i3−2i3211-1-1-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-22222-2-2-200004-42-2-2222-1-1-1-111000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-22222-2-2-20000-44222-2-22-1-1-1-1110000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2−2i32i32i3−2i3-2-1-111-1-100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-22i3−2i3−2i32i3-2-1-111-1-100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-444004-4-44-4-44-440-4-4440000-44-40000000000000000-440000000000000000000000000000000000000000000000
χ6844-4-44-2004-42-2-424-4-2022-2-20000-44200000000000000002-20000000000000000000000000000000023−23000000000000
χ6944-4-44-2004-42-2-424-4-2022-2-20000-44200000000000000002-200000000000000000000000000000000−2323000000000000
χ7044-4-44-200-442-2-424-4-2022-2200004-4-20000000000000000-224-40000000000000000000000000000-2200000000000000
χ7144-4-44-200-442-2-424-4-2022-2200004-4-20000000000000000-22-4400000000000000000000000000002-200000000000000
χ7244-4-4-24004-4-442-4-22-2022-2400002-2-400000000000000002-20000000000000023−23−23230000000000000000000000000000
χ7344-4-4-24004-4-442-4-22-2022-2400002-2-400000000000000002-200000000000000−232323−230000000000000000000000000000
χ7444-4-4-2400-44-442-4-22-2022-2-40000-2240000000000000000-2200004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ7544-4-4-2400-44-442-4-22-2022-2-40000-2240000000000000000-220000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ764-44-44400004-4-4-4-4440-44-40000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ774-44-44400004-4-4-4-4440-44-400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ784-4-444-24-400224-2-4-4-20-22204-4-22000000000000000-220000000000−2i22i2−2i22i20000000000000000000000000000i2−i2i2−i20000
χ794-4-444-24-400224-2-4-4-20-22204-4-22000000000000000-2200000000002i2−2i22i2−2i20000000000000000000000000000−i2i2−i2i20000
χ804-4-444-2-4400224-2-4-4-20-2220-442-20000000000000002-20000000000−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i20000
χ814-4-444-2-4400224-2-4-4-20-2220-442-20000000000000002-200000000002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i20000
χ824-4-44-244-400-4-4-2422-20-2220-224-40004-44-400000000-2200000000000000-22-2200000000000000000000000000000000
χ834-4-44-244-400-4-4-2422-20-2220-224-4000-44-4400000000-22000000000000002-22-200000000000000000000000000000000
χ844-4-44-24-4400-4-4-2422-20-22202-2-440004-4-44000000002-200000000000000-222-200000000000000000000000000000000
χ854-4-44-24-4400-4-4-2422-20-22202-2-44000-444-4000000002-2000000000000002-2-2200000000000000000000000000000000
χ8688-8-8-4-4008-84-444-4420-2-22-400004-440000000000000000-220000000000000000000000000000000000000000000000
χ8788-8-8-4-400-884-444-4420-2-2240000-44-400000000000000002-20000000000000000000000000000000000000000000000
χ888-88-88-40000-44-84-88-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4800008-84-84-4-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000-44444-420-22-200000000000000000000006-6000000000000000000000000000000000000000000000000
χ918-88-8-4-40000-44444-420-22-20000000000000000000000-66000000000000000000000000000000000000000000000000
χ928-8-88-4-48-80044-4-444202-2-20-44-440000000000000002-200000000000000000000000000000000000000000000000000
χ938-8-88-4-4-880044-4-444202-2-204-44-4000000000000000-2200000000000000000000000000000000000000000000000000

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