Finite Group Databasebeta

← Group #11872736

Character table — Group #11872736

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666223666881212121224242424444412121212466661212121224242424242444444488121212122424242466121212246681212121212242422241228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-111111-11-1-111-1-11111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-11-111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111111-1-1-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-111-1-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111-11-1-1-1-1-1-11-1-1111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-11111-111-1-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1111-11-1-1-1111-1-1-1-1-111-11-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-1-1-1-11-11111111-1-11-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-2-2-2000000000000002000000-2002000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000-220000-2-22200000000000000-2000000200-2000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-2000022-2-2000000000000002000000200-2000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-220000222200000000000000-2000000-2002000
χ2122222-1222-1-12-1222-1-1-1-1222-1-12-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000022-1-100-1-1-1-1-1-12-1-120-1-100-1-100000000000
χ2222222-1222-1-12-1222-1-1-1-1222-1-12-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-2-20000-2-211001111-1-12-1-1-2011001100000000000
χ2322222-1222-1-12-1222-1-1-1-1-2-22-1-1211112222-1-1-1-1-222-1-111-1-1-2-21111220000-2-2-1-1001111-1-1-211-201100-1-100000000000
χ2422222-1222-1-12-1222-1-1-1-1-2-22-1-121111-2-2-2-21111-222-1-111-1-1-2-21111-2-20000221100-1-1-1-1-1-1-21120-1-1001100000000000
χ2522222-1222-1-12-12-2-2-1-1-1-1222-1-12-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000022-1-100-1-1-1-111-211-2011001100000000000
χ2622222-1222-1-12-12-2-2-1-1-1-1222-1-12-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1220000-2-21100111111-21120-1-100-1-100000000000
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-22-1-1211112222-1-1-1-12-2-211-1-1-1-1-2-21111-2-20000-2-2-1-1001111112-1-120-1-1001100000000000
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-22-1-121111-2-2-2-211112-2-211-1-1-1-1-2-21111220000221100-1-1-1-1112-1-1-201100-1-100000000000
χ292222-1222-122-12-122-1-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-102002-100-1-1-1-10000-100
χ302222-1222-122-12-122-1-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-10-200-210011110000100
χ312222-1222-122-12-122-1-1-1-1-2-2-122-1-2-2-2-200000000-2-1-122-2-2-1-11111110022220000-1-10000-1-11110-200-2-100-1-1110000100
χ322222-1222-122-12-122-1-1-1-1-2-2-122-1-2-2-2-200000000-2-1-122-2-2-1-111111100-2-2-2-20000110000-1-11110200210011-1-10000-100
χ332222-1222-122-12-1-2-2-1-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-10022-2-20000-1-10000111110-2002-10011-1-10000100
χ342222-1222-122-12-1-2-2-1-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-2-2220000110000111110200-2100-1-1110000-100
χ352222-1222-122-12-1-2-2-1-1-1-1-2-2-122-1-2-2-2-200000000211-2-222-1-11111110022-2-20000-1-1000011-1-1-10200-2-10011110000-100
χ362222-1222-122-12-1-2-2-1-1-1-1-2-2-122-1-2-2-2-200000000211-2-222-1-111111100-2-222000011000011-1-1-10-2002100-1-1-1-10000100
χ3722-2-2222-222-2-2-2-2002-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-2200000000002i−2i002i−2i00000000000000000002i−2i0002-20000
χ3822-2-2222-222-2-2-2-2002-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-220000000000−2i2i002i−2i0000000000000000000−2i2i000-220000
χ3922-2-2222-222-2-2-2-2002-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-2200000000002i−2i00−2i2i00000000000000000002i−2i000-220000
χ4022-2-2222-222-2-2-2-2002-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-220000000000−2i2i00−2i2i0000000000000000000−2i2i0002-20000
χ4122-2-222-2222-2-2-2-22-22-22-2002-22-200002i−2i−2i2i2i2i−2i−2i02-22-2002-20000002i−2i000000−2i2i0000002-20000000002i−2i00000000000
χ4222-2-222-2222-2-2-2-22-22-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i02-22-2002-2000000−2i2i0000002i−2i0000002-2000000000−2i2i00000000000
χ4322-2-222-2222-2-2-2-2-222-22-2002-22-200002i−2i−2i2i2i2i−2i−2i0-22-22002-2000000−2i2i000000−2i2i000000-22000000000−2i2i00000000000
χ4422-2-222-2222-2-2-2-2-222-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i0-22-22002-20000002i−2i0000002i−2i000000-220000000002i−2i00000000000
χ4522-2-22-1-222-11-21-22-2-11-110021-1-233−3−32i−2i−2i2i−i−iii02-2-113−3-110033−3−32i−2i000000i−i00−i3−i3i3i3-1103−300−i3i300−ii00000000000
χ4622-2-22-1-222-11-21-22-2-11-110021-1-233−3−3−2i2i2i−2iii−i−i02-2-113−3-110033−3−3−2i2i000000−ii00i3i3−i3−i3-1103−300i3−i300i−i00000000000
χ4722-2-22-1-222-11-21-22-2-11-110021-1-2−3−3332i−2i−2i2i−i−iii02-2-11−33-1100−3−3332i−2i000000i−i00i3i3−i3−i3-110−3300i3−i300−ii00000000000
χ4822-2-22-1-222-11-21-22-2-11-110021-1-2−3−333−2i2i2i−2iii−i−i02-2-11−33-1100−3−333−2i2i000000−ii00−i3−i3i3i3-110−3300−i3i300i−i00000000000
χ4922-2-22-1-222-11-21-2-22-11-110021-1-233−3−32i−2i−2i2i−i−iii0-221-1−33-110033−3−3−2i2i000000i−i00−i3−i3i3i31-10−3300i3−i300i−i00000000000
χ5022-2-22-1-222-11-21-2-22-11-110021-1-233−3−3−2i2i2i−2iii−i−i0-221-1−33-110033−3−32i−2i000000−ii00i3i3−i3−i31-10−3300−i3i300−ii00000000000
χ5122-2-22-1-222-11-21-2-22-11-110021-1-2−3−3332i−2i−2i2i−i−iii0-221-13−3-1100−3−333−2i2i000000i−i00i3i3−i3−i31-103−300−i3i300i−i00000000000
χ5222-2-22-1-222-11-21-2-22-11-110021-1-2−3−333−2i2i2i−2iii−i−i0-221-13−3-1100−3−3332i−2i000000−ii00−i3−i3i3i31-103−300i3−i300−ii00000000000
χ5344444-2-4-44-2-24-2400-2-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ5444444-2-4-44-2-24-2400-2-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ554444-24-4-4-244-24-200-2-2-2-2002-4-42000000000000000000022000000004-40000002200000000000000-20000000000000
χ564444-24-4-4-244-24-200-2-2-2-2002-4-4200000000000000000002200000000-44000000-2-20000000000000020000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44-24-44-22-42-400-22-2200-4-22400004i−4i4i−4i−2i−2i2i2i00000002-200000000000000−2i2i000000000000000000000000000000
χ6244-4-44-24-44-22-42-400-22-2200-4-2240000−4i4i−4i4i2i2i−2i−2i00000002-2000000000000002i−2i000000000000000000000000000000
χ6344-4-4-244-4-24-42-4200-22-220024-4-200000000000000000002-200000000004i−4i00000000000000000000000−2i2i000000000
χ6444-4-4-244-4-24-42-4200-22-220024-4-200000000000000000002-20000000000−4i4i000000000000000000000002i−2i000000000
χ6544-4-4-24-44-24-42-424-4-22-2200-2-4420000000000000-224-400-220000000000000000000000-220000000000000000000000
χ6644-4-4-24-44-24-42-42-44-22-2200-2-44200000000000002-2-4400-2200000000000000000000002-20000000000000000000000
χ6744-4-4-2-2-44-2-222224-41-11-100-22-222323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ6844-4-4-2-2-44-2-222224-41-11-100-22-22−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ6944-4-4-2-2-44-2-22222-441-11-100-22-222323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ7044-4-4-2-2-44-2-22222-441-11-100-22-22−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ714-44-44400-4-4-444-4004-4-4422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ724-44-44400-4-4-444-4004-4-44−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ734-44-44-200-4224-2-400-222-222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ744-44-44-200-4224-2-400-222-222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ754-44-44-200-4224-2-400-222-2−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ764-44-44-200-4224-2-400-222-2−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ774-44-4-24002-4-4-24200-222-222−22000022−2222−2200000000000000000−22−22−22000000000023−2300000000000000000006−60000000
χ784-44-4-24002-4-4-24200-222-222−22000022−2222−2200000000000000000−22−22−220000000000−23230000000000000000000−660000000
χ794-44-4-24002-4-4-24200-222-2−22220000−2222−2222000000000000000002−22−22−2000000000023−230000000000000000000−660000000
χ804-44-4-24002-4-4-24200-222-2−22220000−2222−2222000000000000000002−22−22−20000000000−232300000000000000000006−60000000
χ814-4-444400-4-44-4-440044-4-400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-44-4-440044-4-4000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-444-200-42-2-42400-2-2220000006−6−66000023−23−2323000000000006−6−66000000−222200002−2−22000000000000000000000000
χ844-4-444-200-42-2-42400-2-2220000006−6−660000−232323−23000000000006−6−6600000022−220000−222−2000000000000000000000000
χ854-4-444-200-42-2-42400-2-222000000−666−6000023−23−232300000000000−666−600000022−220000−222−2000000000000000000000000
χ864-4-444-200-42-2-42400-2-222000000−666−60000−232323−2300000000000−666−6000000−222200002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-8-4-44444002-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-400444-4-44002-2-2242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ908-88-8-4-400444-4-44002-2-22−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ918-8-88-48004-884-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-444-40022-2-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-40044-444-40022-2-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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