Finite Group Databasebeta

← Group #11884411

Character table — Group #11884411

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666344446661212121212121212121212121212121212124441212121212121212121212121212121212121222224881212121222466666666812122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-111-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1-1
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
χ511111111111111111-1-111111111111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-111111-1-1-1-1-111-1-1-1-1-1-111-1
χ611111111111111111-1-111111111111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-111-1-1-1-11-1-1111111-1-11
χ711111111111111111-1-111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-111-1-1-1-111-1-11
χ811111111111111111-1-111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111-1-11111-1-111-1
χ9111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11-111-11111-1-11-1-1111-111-1-1-1-1-111-1-111-11-1
χ10111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-111-1-11-11-1-11-111-1-1111-1-111-1-11-11
χ11111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111111-1-111-11-111-11-1-111-1-1-111-1-1-1-11-11
χ12111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-11-1-1-1-111-111-1-1-11-1-111111-1-11111-11-1
χ13111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-111111-111-1-1-111-1-1-11-1111-1-1-1111-1-1-1-111-1-1-111
χ14111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1-11-1-1-111-11111-1-1111-1-1
χ15111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-11111-11111-1-1-1-1111-1-111-1111-1-11-1-1-1-111111-1-1
χ16111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-11111-11-1-1111-1-1111-11-1-1-1111-1-1-11111-1-1-1-1-111
χ17222222-2-222222222-2002222222-2-2-2-200002222-2-2220-2000000-2-2-2-200000000-2-200200222200000-2-20000000000000000
χ18222222-2-222222222-2002222222-2-2-2-200002222-2-2-2-20-2000000-2-2-2-2000000002200-200-2-2-2-200000220000000000000000
χ19222222-2-22222222-2200222-2-2-2-2-2-2220000-2-2-2-2-2-22202000000-2-22200000000-2200-20022-2-200000-220000000000000000
χ20222222-2-22222222-2200222-2-2-2-2-2-2220000-2-2-2-2-2-2-2-202000000-2-222000000002-200200-2-222000002-20000000000000000
χ2122222-1222-12-12-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200200-1-1-1-122000-1-1-1-1-1-1000000000000
χ2222222-1222-12-12-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-22-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2001111-2-2000111111000000000000
χ2322222-1222-12-12-1-122-2-2-1-1-122-1-1-1-1221111-1-1-1-12222-2-1-2-211-2-2-1-1-1-1111111112200200-1-1-1-1-2-2000-1-11111000000000000
χ2422222-1222-12-12-1-122-2-2-1-1-122-1-1-1-1221111-1-1-1-122-2-2-2-1-2-211-2-2-1-1-1-111111111-2-200-20011112200011-1-1-1-1000000000000
χ2522222-1222-12-12-1-1-2-222-1-1-1-2-211-1-1-2-2-1-1-1-111112222-212211-2-2-1-111-1-1-1-111112-200-200-1-1112-2000-11-1-111000000000000
χ2622222-1222-12-12-1-1-2-222-1-1-1-2-211-1-1-2-2-1-1-1-1111122-2-2-212211-2-2-1-111-1-1-1-11111-220020011-1-1-220001-111-1-1000000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1-2-211-1-1-2-211111111222221-2-2-1-122-1-1111111-1-1-1-12-200-200-1-111-22000-1111-1-1000000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1-2-211-1-1-2-21111111122-2-221-2-2-1-122-1-1111111-1-1-1-1-220020011-1-12-20001-1-1-111000000000000
χ2922222-1-2-22-12-12-1-12-200-1-1-122-1-111-2-2−i3−i3i3i3-1-1-1-1-2-2220100−i3i3001111−i3−i3i3i3−i3−i3i3i3-2-200200-1-1-1-10000011−i3i3−i3i3000000000000
χ3022222-1-2-22-12-12-1-12-200-1-1-122-1-111-2-2−i3−i3i3i3-1-1-1-1-2-2-2-20100−i3i3001111−i3−i3i3i3−i3−i3i3i32200-200111100000-1-1i3−i3i3−i3000000000000
χ3122222-1-2-22-12-12-1-12-200-1-1-122-1-111-2-2i3i3−i3−i3-1-1-1-1-2-2220100i3−i3001111i3i3−i3−i3i3i3−i3−i3-2-200200-1-1-1-10000011i3−i3i3−i3000000000000
χ3222222-1-2-22-12-12-1-12-200-1-1-122-1-111-2-2i3i3−i3−i3-1-1-1-1-2-2-2-20100i3−i3001111i3i3−i3−i3i3i3−i3−i32200-200111100000-1-1−i3i3−i3i3000000000000
χ3322222-1-2-22-12-12-1-1-2200-1-1-1-2-2111122−i3−i3i3i31111-2-2220-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3-2200-200-1-111000001-1−i3i3i3−i3000000000000
χ3422222-1-2-22-12-12-1-1-2200-1-1-1-2-2111122−i3−i3i3i31111-2-2-2-20-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32-20020011-1-100000-11i3−i3−i3i3000000000000
χ3522222-1-2-22-12-12-1-1-2200-1-1-1-2-2111122i3i3−i3−i31111-2-2220-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3-2200-200-1-111000001-1i3−i3−i3i3000000000000
χ3622222-1-2-22-12-12-1-1-2200-1-1-1-2-2111122i3i3−i3−i31111-2-2-2-20-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32-20020011-1-100000-11−i3i3i3−i3000000000000
χ372222-1222-12-12-12-12222-1-1-1-1-12222-1-12222-1-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100220220000002-1-10000002-1-1-1-1-1-100000
χ382222-1222-12-12-12-12222-1-1-1-1-12222-1-12222-1-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20-2-2000000-211000000-211111100000
χ392222-1222-12-12-12-122-2-2-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-100-2211-2-211-1-1-1-11111111100220-2-20000002-1-1000000-2-1-1111100000
χ402222-1222-12-12-12-122-2-2-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-100-2211-2-211-1-1-1-11111111100-2-2022000000-211000000211-1-1-1-100000
χ412222-1222-12-12-12-1-2-222-1-1-111-2-2221122221111-1-100-2-2-1-1-2-211-1-111-1-1-1-111110022022000000-2-1-1000000-211-1-11100000
χ422222-1222-12-12-12-1-2-222-1-1-111-2-2221122221111-1-100-2-2-1-1-2-211-1-111-1-1-1-1111100-2-20-2-20000002110000002-1-111-1-100000
χ432222-1222-12-12-12-1-2-2-2-2-1-1-111-2-22211-2-2-2-21111-1-1002-21122-1-1-1-1111111-1-1-1-100220-2-2000000-2-1-100000021111-1-100000
χ442222-1222-12-12-12-1-2-2-2-2-1-1-111-2-22211-2-2-2-21111-1-1002-21122-1-1-1-1111111-1-1-1-100-2-2022000000211000000-2-1-1-1-11100000
χ452-2-2222-22-2-22-2-222002-2-22-200002-2002-22-200002-200002-200002-2002-22-20000002-202-200000002-20000000002-20000000
χ462-2-2222-22-2-22-2-222002-2-22-200002-2002-22-200002-200002-200002-2002-22-2000000-220-220000000-22000000000-220000000
χ472-2-2222-22-2-22-2-22200-22-22-200002-200-22-2200002-20000-2200002-200-22-220000002-20-2200000002-2000000000-220000000
χ482-2-2222-22-2-22-2-22200-22-22-200002-200-22-2200002-20000-2200002-200-22-22000000-2202-20000000-220000000002-20000000
χ492-2-22-12-221-2-1-212-1002-21-113−3002-23−32-22-233−3−3-110000-11003−3-113−3-11-113−33−3002-202-20000000-1100000003−3-113−300000
χ502-2-22-12-221-2-1-212-1002-21-113−3002-23−32-22-233−3−3-110000-11003−3-113−3-11-113−33−300-220-2200000001-10000000−331-1−3300000
χ512-2-22-12-221-2-1-212-1002-21-11−33002-2−332-22-2−3−333-110000-1100−33-11−33-11-11−33−33002-202-20000000-110000000−33-11−3300000
χ522-2-22-12-221-2-1-212-1002-21-11−33002-2−332-22-2−3−333-110000-1100−33-11−33-11-11−33−3300-220-2200000001-100000003−31-13−300000
χ532-2-22-12-221-2-1-212-100-221-113−3002-23−3-22-2233−3−3-1100001-100−33-113−31-11-1−33−33002-20-220000000-1100000003−31-1−3300000
χ542-2-22-12-221-2-1-212-100-221-113−3002-23−3-22-2233−3−3-1100001-100−33-113−31-11-1−33−3300-2202-200000001-10000000−33-113−300000
χ552-2-22-12-221-2-1-212-100-221-11−33002-2−33-22-22−3−333-1100001-1003−3-11−331-11-13−33−3002-20-220000000-110000000−331-13−300000
χ562-2-22-12-221-2-1-212-100-221-11−33002-2−33-22-22−3−333-1100001-1003−3-11−331-11-13−33−300-2202-200000001-100000003−3-11−3300000
χ574444-24-4-4-24-24-24-24-400-2-2-2-2-244-4-4220000-2-2-2-222000-40000002222000000000000000000000000000000000000000000
χ584444-24-4-4-24-24-24-2-4400-2-2-222-4-4-4-4-2-20000222222000400000022-2-2000000000000000000000000000000000000000000
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
χ614444-2-244-2-2-2-2-2-21-4-4441112222-2-222-2-2-2-2-1-1-1-1-2-200-42-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-2222222-1-1-1-1-2-2004222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-22222−2i3−2i32i32i3111122000200−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222222i32i3−2i3−2i31111220002002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-21-4400111222222-2-2−2i3−2i32i32i3-1-1-1-122000-2002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-21-4400111222222-2-22i32i3−2i3−2i3-1-1-1-122000-200−2i32i300-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-4440044-4-4-4-4400004-4-40000000000000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000
χ6844-4-4440044-4-4-4-4400004-4-4000000000000000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000
χ6944-4-44-2004-2-42-42-20000-22200−2i32i300000000−2i32i3−2i32i3004i−4i000000000000000000000000000−2i2i23−2300000000000000000000000
χ7044-4-44-2004-2-42-42-20000-22200−2i32i300000000−2i32i3−2i32i300−4i4i0000000000000000000000000002i−2i−232300000000000000000000000
χ7144-4-44-2004-2-42-42-20000-222002i3−2i3000000002i3−2i32i3−2i3004i−4i000000000000000000000000000−2i2i−232300000000000000000000000
χ7244-4-44-2004-2-42-42-20000-222002i3−2i3000000002i3−2i32i3−2i300−4i4i0000000000000000000000000002i−2i23−2300000000000000000000000
χ734-44-44400-4-4-444-440000-4-4400000000000000000000000000000000000000000000000000000000000000000000022−22000
χ744-44-44400-4-4-444-440000-4-44000000000000000000000000000000000000000000000000000000000000000000000−2222000
χ754-4-44444-4-4-44-4-4440000-44-40000-440000000000-440000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-4-4242-4-2-200002-2200002-200−2i32i32i3−2i30000-4400000000002-200−2i32i32i3−2i300000000000000000000000000000000000000
χ774-4-444-24-4-4242-4-2-200002-2200002-2002i3−2i3−2i32i30000-4400000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000
χ784-4-444-2-44-4242-4-2-2004-42-220000-2200-22-2200004-400004-40000-2200-22-2200000000000000000000000000000000000000
χ794-4-444-2-44-4242-4-2-200-442-220000-22002-22-200004-40000-440000-22002-22-200000000000000000000000000000000000000
χ804-4-44-244-42-4-2-424-200002-2223−2300-44−232300002323−23−232-200000000002-2−2323000000000000000000000000000000000000000000
χ814-4-44-244-42-4-2-424-200002-22−232300-4423−230000−23−2323232-200000000002-223−23000000000000000000000000000000000000000000
χ824-4-44-2-24-422-222-210000-11-123−23002-2−2323−2i32i32i3−2i3−3−3332-20000000000-113−3i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000
χ834-4-44-2-24-422-222-210000-11-123−23002-2−23232i3−2i3−2i32i3−3−3332-20000000000-113−3−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000
χ844-4-44-2-24-422-222-210000-11-1−2323002-223−23−2i32i32i3−2i333−3−32-20000000000-11−33i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000
χ854-4-44-2-24-422-222-210000-11-1−2323002-223−232i3−2i3−2i32i333−3−32-20000000000-11−33−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000
χ864-4-44-2-2-4422-222-21004-4-11-123−2300-2223−23-22-22−3−333-220000-220023−231-1−331-11-1−33−330000000000000000000000000000000000
χ874-4-44-2-2-4422-222-21004-4-11-1−232300-22−2323-22-2233−3−3-220000-2200−23231-13−31-11-13−33−30000000000000000000000000000000000
χ884-4-44-2-2-4422-222-2100-44-11-123−2300-2223−232-22-2−3−333-2200002-200−23231-1−33-11-113−33−30000000000000000000000000000000000
χ894-4-44-2-2-4422-222-2100-44-11-1−232300-22−23232-22-233−3−3-2200002-20023−231-13−3-11-11−33−330000000000000000000000000000000000
χ9088-8-8-4800-484-84-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4-44444200002-2-200−4i34i3000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4-44444200002-2-2004i3−4i300000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ938-88-88-400-84-8-484-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-848-4-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400444-4-4420000-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400444-4-4420000-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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