Finite Group Databasebeta

← Group #11872935

Character table — Group #11872935

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666622366688121212122424242444441212121246666121212122424242424242444448812121212242424246612121224666812121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111111-111-1-11-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-11-1-1-11111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111111111-1-1-11-1111-1-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1111-1-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-111-1-11-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-1111-111-1-1-111-1-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-1-1-1111111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000002-200000022-2-2000000000002000000000-2200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-22000000222200000000000-20000000002-200000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-20000002-2000000-2-2-2-20000000000020000000002-200000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-2000000-22000000-2-22200000000000-2000000000-2200000
χ2122222-1222-12-1-1222-1-1-1-122-12-12-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-100002222-1-100-1-1-1-1-1-12-1-1200-1-10-1-100000000000
χ2222222-1222-12-1-1222-1-1-1-122-12-12-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-10000-2-2-2-211001111-1-12-1-1-2001101100000000000
χ2322222-1222-12-1-1222-1-1-1-1-2-2-12-1211112222-1-1-1-1-222-1-111-1-1-2-21111000022-2-2-1-1001111-1-1-211-200110-1-100000000000
χ2422222-1222-12-1-1222-1-1-1-1-2-2-12-121111-2-2-2-21111-222-1-111-1-1-2-211110000-2-2221100-1-1-1-1-1-1-211200-1-101100000000000
χ2522222-1222-12-1-12-2-2-1-1-1-122-12-12-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-10000-2-222-1-100-1-1-1-111-211-2001101100000000000
χ2622222-1222-12-1-12-2-2-1-1-1-122-12-12-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1000022-2-21100111111-211200-1-10-1-100000000000
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-2-12-1211112222-1-1-1-12-2-211-1-1-1-1-2-211110000-2-2-2-2-1-1001111112-1-1200-1-101100000000000
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-2-12-121111-2-2-2-211112-2-211-1-1-1-1-2-21111000022221100-1-1-1-1112-1-1-200110-1-100000000000
χ292222-1222-12-122-122-1-1-1-1222-12-12222000000002-1-12222-1-1-1-1-1-1-1-12222000000-1-10000-1-1-1-1-102-100200-1-1-1-10000-100
χ302222-1222-12-122-122-1-1-1-1222-12-12222000000002-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000110000-1-1-1-1-10-2100-20011110000100
χ312222-1222-12-122-122-1-1-1-1-2-22-12-1-2-2-2-200000000-2-1-122-2-2-1-11111112222000000-1-10000-1-11110-2-100-200-1-1110000100
χ322222-1222-12-122-122-1-1-1-1-2-22-12-1-2-2-2-200000000-2-1-122-2-2-1-1111111-2-2-2-2000000110000-1-11110210020011-1-10000-100
χ332222-1222-12-122-1-2-2-1-1-1-1222-12-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-122-2-2000000-1-10000111110-2-10020011-1-10000100
χ342222-1222-12-122-1-2-2-1-1-1-1222-12-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-2220000001100001111102100-200-1-1110000-100
χ352222-1222-12-122-1-2-2-1-1-1-1-2-22-12-1-2-2-2-200000000211-2-222-1-111111122-2-2000000-1-1000011-1-1-102-100-20011110000-100
χ362222-1222-12-122-1-2-2-1-1-1-1-2-22-12-1-2-2-2-200000000211-2-222-1-1111111-2-22200000011000011-1-1-10-2100200-1-1-1-10000100
χ372-22-2222-2-22-2-2-222-22-22-200-2-22200002i−2i2i−2i2i2i−2i−2i02-22-2002-200000000002i−2i002i−2i0000002-20000000002i−2i00000000000
χ382-22-2222-2-22-2-2-222-22-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i02-22-2002-20000000000−2i2i00−2i2i0000002-2000000000−2i2i00000000000
χ392-22-2222-2-22-2-2-22-222-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0-22-22002-20000000000−2i2i002i−2i000000-22000000000−2i2i00000000000
χ402-22-2222-2-22-2-2-22-222-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0-22-22002-200000000002i−2i00−2i2i000000-220000000002i−2i00000000000
χ412-22-222-22-22-2-2-22002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-22000000002-200002i−2i00000000000000000002-200002i−2i000
χ422-22-222-22-22-2-2-22002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-2200000000-2200002i−2i0000000000000000000-220000−2i2i000
χ432-22-222-22-22-2-2-22002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-22000000002-20000−2i2i00000000000000000002-20000−2i2i000
χ442-22-222-22-22-2-2-22002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-2200000000-220000−2i2i0000000000000000000-2200002i−2i000
χ452-22-22-12-2-2-1-21122-2-11-11001-2-1233−3−32i−2i2i−2i−i−iii02-2-113−3-110033−3−300002i−2i00−ii00−i3−i3i3i3-1103−3000−i3i30−ii00000000000
χ462-22-22-12-2-2-1-21122-2-11-11001-2-1233−3−3−2i2i−2i2iii−i−i02-2-113−3-110033−3−30000−2i2i00i−i00i3i3−i3−i3-1103−3000i3−i30i−i00000000000
χ472-22-22-12-2-2-1-21122-2-11-11001-2-12−3−3332i−2i2i−2i−i−iii02-2-11−33-1100−3−33300002i−2i00−ii00i3i3−i3−i3-110−33000i3−i30−ii00000000000
χ482-22-22-12-2-2-1-21122-2-11-11001-2-12−3−333−2i2i−2i2iii−i−i02-2-11−33-1100−3−3330000−2i2i00i−i00−i3−i3i3i3-110−33000−i3i30i−i00000000000
χ492-22-22-12-2-2-1-2112-22-11-11001-2-1233−3−32i−2i2i−2i−i−iii0-221-1−33-110033−3−30000−2i2i00−ii00−i3−i3i3i31-10−33000i3−i30i−i00000000000
χ502-22-22-12-2-2-1-2112-22-11-11001-2-1233−3−3−2i2i−2i2iii−i−i0-221-1−33-110033−3−300002i−2i00i−i00i3i3−i3−i31-10−33000−i3i30−ii00000000000
χ512-22-22-12-2-2-1-2112-22-11-11001-2-12−3−3332i−2i2i−2i−i−iii0-221-13−3-1100−3−3330000−2i2i00−ii00i3i3−i3−i31-103−3000−i3i30i−i00000000000
χ522-22-22-12-2-2-1-2112-22-11-11001-2-12−3−333−2i2i−2i2iii−i−i0-221-13−3-1100−3−33300002i−2i00i−i00−i3−i3i3i31-103−3000i3−i30−ii00000000000
χ5344444-2-4-44-24-2-2400-2-2-2-2002-42-4000044-4-4222200000002200000000000000-2-2000000000000000000000000000000
χ5444444-2-4-44-24-2-2400-2-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000022000000000000000000000000000000
χ554444-24-4-4-24-244-200-2-2-2-200-42-420000000000000000000220000004-4000000002200000000000-20000000000000000
χ564444-24-4-4-24-244-200-2-2-2-200-42-42000000000000000000022000000-4400000000-2-20000000000020000000000000000
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
χ6144-4-444004-4-44-4-40044-4-400000000000000000000000000000000000000022−22000022−2222−22000000000000000000000000
χ6244-4-444004-4-44-4-40044-4-4000000000000000000000000000000000000000−22220000−2222−2222000000000000000000000000
χ6344-4-44-20042-4-22-400-2-2220000006−66−6000023−2323−23000000000006−66−600000022−220000−22−22000000000000000000000000
χ6444-4-44-20042-4-22-400-2-2220000006−66−60000−2323−2323000000000006−66−6000000−222200002−22−2000000000000000000000000
χ6544-4-44-20042-4-22-400-2-222000000−66−66000023−2323−2300000000000−66−66000000−222200002−22−2000000000000000000000000
χ6644-4-44-20042-4-22-400-2-222000000−66−660000−2323−232300000000000−66−6600000022−220000−22−22000000000000000000000000
χ674-44-44-2-44-4-2-422400-22-2200-242-400004i−4i−4i4i2i2i−2i−2i00000002-200000000000000−2i2i000000000000000000000000000000
χ684-44-44-2-44-4-2-422400-22-2200-242-40000−4i4i4i−4i−2i−2i2i2i00000002-2000000000000002i−2i000000000000000000000000000000
χ694-44-4-244-4242-4-4-24-4-22-2200-424-20000000000000-224-400-220000000000000000000000-220000000000000000000000
χ704-44-4-244-4242-4-4-2-44-22-2200-424-200000000000002-2-4400-2200000000000000000000002-20000000000000000000000
χ714-44-4-24-44242-4-4-200-22-22004-2-4200000000000000000002-2000000004-40000000000000000000000000-22000000000
χ724-44-4-24-44242-4-4-200-22-22004-2-4200000000000000000002-200000000-4400000000000000000000000002-2000000000
χ734-44-4-2-24-42-2222-24-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ744-44-4-2-24-42-2222-24-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ754-44-4-2-24-42-2222-2-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ764-44-4-2-24-42-2222-2-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ774-4-444400-4-44-44-4004-4-4422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-444400-4-44-44-4004-4-44−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-200-4242-2-400-222-222−220000−222−20000−2i32i32i3−2i300000000022−22−222−2000000000000−i6i6i6−i6000000000000000000000000
χ804-4-444-200-4242-2-400-222-222−220000−222−200002i3−2i3−2i32i300000000022−22−222−2000000000000i6−i6−i6i6000000000000000000000000
χ814-4-444-200-4242-2-400-222-2−222200002−2−220000−2i32i32i3−2i3000000000−22222−2−22000000000000i6−i6−i6i6000000000000000000000000
χ824-4-444-200-4242-2-400-222-2−222200002−2−2200002i3−2i3−2i32i3000000000−22222−2−22000000000000−i6i6i6−i6000000000000000000000000
χ834-4-44-24002-4-2-44200-222-222−22000022−22−222200000000000000000−22−222−2000000000023−2300000000000000000006−60000000
χ844-4-44-24002-4-2-44200-222-222−22000022−22−222200000000000000000−22−222−20000000000−23230000000000000000000−660000000
χ854-4-44-24002-4-2-44200-222-2−22220000−222222−22000000000000000002−22−2−22000000000023−230000000000000000000−660000000
χ864-4-44-24002-4-2-44200-222-2−22220000−222222−22000000000000000002−22−2−220000000000−232300000000000000000006−60000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4800-4-848-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-4440022-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-400-444-4440022-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-4-884-4444-4002-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-44002-2-2242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44002-2-22−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

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