Finite Group Databasebeta

← Group #11895439

Character table — Group #11895439

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212124444441212121212121212121212124444448888121212121212121212121212121288882466121212121212242424248822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-111111-111-1-111-1-111111-111-1-11111-1-1-1-1111-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-111-1-11-1-1-11111-1-111111-111-1-1-1-1-1-11-111-1-11-1-1-1-1-11111-11
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1-1111-111-1-111111-1
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-11111111111-1-11-11111-1-1-1-1-11
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-11-1-111-111111-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-111-1-111111111-1-1-1111-1-111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-11111-11-1-111-1-1111111-11-1-1111111-1-1-1-111-11-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1111111-11-1-111-1-1-1-11-111-1-1-11-1-111-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-2222200-2-20000-2-222-2-20000-2-20000222200000000000000000000-2-20000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-200-2-20000-2-222-2-20000220000-2-2-2-200000000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-2-2-2220000-22000022-2-200000000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-2-2-22200002-20000-2-222000000000000000000002-20000000000
χ2122222-12222-1-122-12-12-1-1-1-12222-1-1-1000022-122222-1-1-1-1-1-1002200222200000000-1-1-1-1-1-1000020-1-1-1-10000-1-1-1-10000
χ2222222-12222-1-122-12-12-1-1-1-12222-1-1-1000022-122222-1-1-1-1-1-100-2-200-2-2-2-200000000-1-1-1-1-1-10000-201111000011110000
χ2322222-12222-1-122-12-12-1-1-1-12222-1-1-10000-2-2-12-2-2-2-2-1-1-1-1-1-1002200-2-2-2-200000000111111000020-1-1-1-1000011110000
χ2422222-12222-1-122-12-12-1-1-1-12222-1-1-10000-2-2-12-2-2-2-2-1-1-1-1-1-100-2-2002222000000001111110000-2011110000-1-1-1-10000
χ2522222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-100002-21-222-2-2-1-1111100220022-2-200000000-11-1-1110000-2011-1-10000-1-1110000
χ2622222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-100002-21-222-2-2-1-1111100-2-200-2-22200000000-11-1-111000020-1-111000011-1-10000
χ2722222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-10000-221-2-2-222-1-11111002200-2-222000000001-111-1-10000-2011-1-1000011-1-10000
χ2822222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-10000-221-2-2-222-1-1111100-2-20022-2-2000000001-111-1-1000020-1-1110000-1-1110000
χ292222-12222222-1-12-1-12-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-122-1-1-1-10000020000-1-1-1-100000000
χ302222-12222222-1-12-1-12-1-1-12-1-1-1-12222222-2-22-11111-1-1-1-1-1-1-2-200220000-1-1-1-11111-2-2111100000-20000-1-11100000000
χ312222-12222222-1-12-1-12-1-1-12-1-1-1-1222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200001111111122-1-1-1-100000-20000111100000000
χ322222-12222222-1-12-1-12-1-1-12-1-1-1-1222-2-2-2-2-2-22-11111-1-1-1-1-1-12200-2-200001111-1-1-1-1-2-21111000002000011-1-100000000
χ332222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2222200-21−i3i3−i3i311-1-1110000-2-20000-1-1-1-1−i3−i3i3i300−i3i3−i3i3000000000011−i3i300000000
χ342222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2222200-21i3−i3i3−i311-1-1110000-2-20000-1-1-1-1i3i3−i3−i300i3−i3i3−i3000000000011i3−i300000000
χ352222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2-2-2-2-200-21−i3i3−i3i311-1-11100002200001111i3i3−i3−i300−i3i3−i3i30000000000-1-1i3−i300000000
χ362222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2-2-2-2-200-21i3−i3i3−i311-1-11100002200001111−i3−i3i3i300i3−i3i3−i30000000000-1-1−i3i300000000
χ372222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2222-2-22-2-21-1-111-1-1111122002-20000-1-111-1-1-1-12-2-1-11100000-20000-111100000000
χ382222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2222-2-2-22-2111-1-1-1-11111-2-2002-20000-1-1111111-2211-1-10000020000-11-1-100000000
χ392222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-22-2-2222-2-21-1-111-1-11111-2-200-22000011-1-111112-2-1-11100000200001-1-1-100000000
χ402222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-22-2-222-22-2111-1-1-1-111112200-22000011-1-1-1-1-1-1-2211-1-100000-200001-11100000000
χ412222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-222-2-2002-1−i3i3i3−i31111-1-10000-220000-1-111−i3−i3i3i300−i3i3i3−i300000000001-1i3−i300000000
χ422222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-222-2-2002-1i3−i3−i3i31111-1-10000-220000-1-111i3i3−i3−i300i3−i3−i3i300000000001-1−i3i300000000
χ432222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2-2-222002-1−i3i3i3−i31111-1-100002-2000011-1-1i3i3−i3−i300−i3i3i3−i30000000000-11−i3i300000000
χ442222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2-2-222002-1i3−i3−i3i31111-1-100002-2000011-1-1−i3−i3i3i300i3−i3−i3i30000000000-11i3−i300000000
χ4522-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-200002-22i−2i00000000002-22-20000002i2i−2i−2i00002i−2i000000000000
χ4622-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-200002-2−2i2i00000000002-22-2000000−2i−2i2i2i0000−2i2i000000000000
χ4722-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-20000-222i−2i0000000000-22-22000000−2i−2i2i2i00002i−2i000000000000
χ4822-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-20000-22−2i2i0000000000-22-220000002i2i−2i−2i0000−2i2i000000000000
χ492-22-2222-200-2-2-222-220-22-20002-22-202-22-200000000002-200000000−i2i2−i2i22-22-20000000000−i2i2−i2i20000000000−i2i2−i2i2−i2i200
χ502-22-2222-200-2-2-222-220-22-20002-22-202-22-200000000002-200000000i2−i2i2−i22-22-20000000000i2−i2i2−i20000000000i2−i2i2−i2i2−i200
χ512-22-2222-200-2-2-222-220-22-20002-22-20-22-2200000000002-200000000−i2i2−i2i2-22-220000000000i2−i2i2−i20000000000−i2i2−i2i2i2−i200
χ522-22-2222-200-2-2-222-220-22-20002-22-20-22-2200000000002-200000000i2−i2i2−i2-22-220000000000−i2i2−i2i20000000000i2−i2i2−i2−i2i200
χ532-22-222-2200-2-2-222-220-22-2000-22-2202-2-220000000000-2200000000−i2i2i2−i22-2-220000000000−i2i2−i2i20000000000−i2i2i2−i2i2−i200
χ542-22-222-2200-2-2-222-220-22-2000-22-2202-2-220000000000-2200000000i2−i2−i2i22-2-220000000000i2−i2i2−i20000000000i2−i2−i2i2−i2i200
χ552-22-222-2200-2-2-222-220-22-2000-22-220-222-20000000000-2200000000−i2i2i2−i2-222-20000000000i2−i2i2−i20000000000−i2i2i2−i2−i2i200
χ562-22-222-2200-2-2-222-220-22-2000-22-220-222-20000000000-2200000000i2−i2−i2i2-222-20000000000−i2i2−i2i20000000000i2−i2−i2i2i2−i200
χ5744444-244-4-4-2-244-24-2-4-2-2-22-4-444-2-220000002-4000022-2-2220000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-244-24-24-2-2-22-4-4-4-4222000000-2400002222-2-20000000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2200000022−2i32i3−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22000000222i3−2i32i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-444004-44-44-4-4-4404-4-44-440000-4000000000000-4400000000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-224-42-4-20-222-2-44000020000000000002-20000000000000000000000000000000000−2i32i300000000000000
χ6944-4-44-2004-4-224-42-4-20-222-2-44000020000000000002-200000000000000000000000000000000002i3−2i300000000000000
χ7044-4-44-200-44-224-42-4-20-22224-40000-2000000000000-220000004i−4i0000000000000000000000000000−2i2i000000000000
χ7144-4-44-200-44-224-42-4-20-22224-40000-2000000000000-22000000−4i4i00000000000000000000000000002i−2i000000000000
χ7244-4-4-24004-44-4-22-42-20-22242-20000-40000000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ7344-4-4-24004-44-4-22-42-20-22242-20000-40000000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ7444-4-4-2400-444-4-22-42-20-222-4-2200004000000000000-2200004-4000000000000-22-220000000000000000000000000000
χ7544-4-4-2400-444-4-22-42-20-222-4-2200004000000000000-220000-440000000000002-22-20000000000000000000000000000
χ764-44-44-24-40022-44-2-4-202-220004-4-22000000000000000-2200000000−2i22i2−2i22i20000000000000000000000000000i2−i2i2−i20000
χ774-44-44-24-40022-44-2-4-202-220004-4-22000000000000000-22000000002i2−2i22i2−2i20000000000000000000000000000−i2i2−i2i20000
χ784-44-44-2-440022-44-2-4-202-22000-442-20000000000000002-200000000−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i20000
χ794-44-44-2-440022-44-2-4-202-22000-442-20000000000000002-2000000002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i20000
χ804-44-4-244-400-4-42-242-202-22000-224-404-44-40000000000-22000000000000-22-2200000000000000000000000000000000
χ814-44-4-244-400-4-42-242-202-22000-224-40-44-440000000000-220000000000002-22-200000000000000000000000000000000
χ824-44-4-24-4400-4-42-242-202-220002-2-4404-4-4400000000002-2000000000000-222-200000000000000000000000000000000
χ834-44-4-24-4400-4-42-242-202-220002-2-440-444-400000000002-20000000000002-2-2200000000000000000000000000000000
χ844-4-44440000-44-4-4-4440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-44-4-4-4440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-4008-8-44-4444202-2-2-44-400004000000000000-2200000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-88-44-4444202-2-24-440000-40000000000002-200000000000000000000000000000000000000000000000000
χ888-88-8-4-48-800444-4-4420-22-2000-44-440000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-8-4-4-8800444-4-4420-22-20004-44-4000000000000000-22000000000000000000000000000000000000000000000000
χ908-8-888-400004-4-8-848-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000-8844-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004-4444-420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ938-8-88-4-400004-4444-420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000

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