Finite Group Databasebeta

← Group #11887642

Character table — Group #11887642

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order1222334444666666121212123444666121212121212121212121212888841212121212121212121212121212121212121212124488888824242424242424242222444121212122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-11111111-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-11111111-11111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-11-111-1-1-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-11111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-111-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-11-111-1-111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-111-11111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-11-1-111-1-1-1-1111-11-1-11
χ1722222222-2-222222222222-20022222-2-2-22222-2-2-200000000000-200-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-20022222-2-2-22222-2-2-200000000000-200-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-2-222-2-2-2-2-2-2-200000000000200-2-22200000000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-2-222-2-2-2-2-2-2-200000000000200-2-222000000000000000000000000-2-222000000000002-20000
χ2122222-122222-12-1-12-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ2222222-122222-12-1-12-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000-211110000000000
χ2322222-122222-12-1-12-1-1-1-1-12-2-2-1-1-1222-1-1-1-1-1-1-1-122222-2-2-211112-2-2-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-1000000-211110000000000
χ2422222-122222-12-1-12-1-1-1-1-12-2-2-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-211112-2-2-1-1-1-11111111122-2-20000111111110000002-1-1-1-10000000000
χ2522222-1-2-2222-12-1-121111-1-222-1-1-1-2-22111111-1-122222-222-1-111-2-2-2-1-111-1-1-1-1111122-2-20000-1-1-1-11111000000-2-1-1110000000000
χ2622222-1-2-2222-12-1-121111-1-222-1-1-1-2-22111111-1-12-2-2-2-2-222-1-111-2-2-2-1-111-1-1-1-11111-2-22200001111-1-1-1-1000000211-1-10000000000
χ2722222-1-2-2222-12-1-121111-1-2-2-2-1-1-1-2-22111111-1-1222222-2-211-1-1-222-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-11111000000211-1-10000000000
χ2822222-1-2-2222-12-1-121111-1-2-2-2-1-1-1-2-22111111-1-12-2-2-2-22-2-211-1-1-222-1-1111111-1-1-1-1222200001111-1-1-1-1000000-2-1-1110000000000
χ292222-122222-12-122-12222-1222-1-1-1-1-1-122-1-1-1-122-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000002200000-1-1-1-100-1-100
χ302222-122222-12-122-12222-1222-1-1-1-1-1-122-1-1-1-122-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000001111001100
χ312222-122222-12-122-12222-12-2-2-1-1-1-1-1-122-1-1-1-122-10000-211-2-2-2-2-111-1-1-1-11111111100002222000000000000-2-200000-1-1-1-1001100
χ322222-122222-12-122-12222-12-2-2-1-1-1-1-1-122-1-1-1-122-10000-211-2-2-2-2-111-1-1-1-1111111110000-2-2-2-20000000000002200000111100-1-100
χ332222-12-2-222-12-122-1-2-2-2-2-1-222-1-1-111-1-2-2111122-10000-2-1-122-2-2111-1-111-1-1-1-11111000022-2-20000000000002-200000-1-11100-1100
χ342222-12-2-222-12-122-1-2-2-2-2-1-222-1-1-111-1-2-2111122-10000-2-1-122-2-2111-1-111-1-1-1-111110000-2-222000000000000-220000011-1-1001-100
χ352222-12-2-222-12-122-1-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-10000211-2-2221-1-1-1-1111111-1-1-1-1000022-2-2000000000000-2200000-1-111001-100
χ362222-12-2-222-12-122-1-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-10000211-2-2221-1-1-1-1111111-1-1-1-10000-2-2220000000000002-20000011-1-100-1100
χ3722-2-2222-20022-2-2-2-222-2-220002-2-22-200022-2-200022−2−20000000000000000000000002−22−22−222−2−222−2−22-22-200000002−22−2000000
χ3822-2-2222-20022-2-2-2-222-2-220002-2-22-200022-2-200022−2−20000000000000000000000002−2−22−2222−2−222−2−2-22-220000000−22−22000000
χ3922-2-2222-20022-2-2-2-222-2-220002-2-22-200022-2-2000−2−222000000000000000000000000−222−22−2−2−222−2−222-22-2200000002−22−2000000
χ4022-2-2222-20022-2-2-2-222-2-220002-2-22-200022-2-2000−2−222000000000000000000000000−22−22−22−2−222−2−2222-22-20000000−22−22000000
χ4122-2-222-220022-2-2-2-2-2-22220002-2-2-22000-2-22200022−2−2000000000000000000000000−222−2−2222−2−2−2−2222-2-2200000002−2−22000000
χ4222-2-222-220022-2-2-2-2-2-22220002-2-2-22000-2-22200022−2−2000000000000000000000000−22−222−222−2−2−2−222-222-20000000−222−2000000
χ4322-2-222-220022-2-2-2-2-2-22220002-2-2-22000-2-222000−2−2220000000000000000000000002−22−2−22−2−22222−2−2-222-200000002−2−22000000
χ4422-2-222-220022-2-2-2-2-2-22220002-2-2-22000-2-222000−2−2220000000000000000000000002−2−222−2−2−22222−2−22-2-220000000−222−2000000
χ452-2-2222002-2-2-222-2-20000202-2-22-20020000002-2-22i−2i2i−2i02-22-2000002-20022-2-200002i−2i0000002i−2i2i−2i000000000002i−2i000000000000
χ462-2-2222002-2-2-222-2-20000202-2-22-20020000002-2-2−2i2i−2i2i02-22-2000002-20022-2-20000−2i2i000000−2i2i−2i2i00000000000−2i2i000000000000
χ472-2-2222002-2-2-222-2-2000020-22-22-20020000002-2-22i−2i2i−2i0-22-22000002-200-2-2220000−2i2i0000002i−2i2i−2i00000000000−2i2i000000000000
χ482-2-2222002-2-2-222-2-2000020-22-22-20020000002-2-2−2i2i−2i2i0-22-22000002-200-2-22200002i−2i000000−2i2i−2i2i000000000002i−2i000000000000
χ492-2-222-1002-2-212-11-23−33−3-102-21-110023−33−33−3-11-22i−2i2i−2i02-2-113−3000-113−3-1-11133−3−32i−2i000000−ii−ii−i3i3−i3i30000000−ii−i3i30000000000
χ502-2-222-1002-2-212-11-23−33−3-102-21-110023−33−33−3-11-2−2i2i−2i2i02-2-113−3000-113−3-1-11133−3−3−2i2i000000i−ii−ii3−i3i3−i30000000i−ii3−i30000000000
χ512-2-222-1002-2-212-11-23−33−3-10-221-110023−33−33−3-11-22i−2i2i−2i0-221-1−33000-113−311-1-1−3−333−2i2i000000−ii−ii−i3i3−i3i30000000i−ii3−i30000000000
χ522-2-222-1002-2-212-11-23−33−3-10-221-110023−33−33−3-11-2−2i2i−2i2i0-221-1−33000-113−311-1-1−3−3332i−2i000000i−ii−ii3−i3i3−i30000000−ii−i3i30000000000
χ532-2-222-1002-2-212-11-2−33−33-102-21-11002−33−33−33-11-22i−2i2i−2i02-2-11−33000-11−33-1-111−3−3332i−2i000000−ii−iii3−i3i3−i30000000−iii3−i30000000000
χ542-2-222-1002-2-212-11-2−33−33-102-21-11002−33−33−33-11-2−2i2i−2i2i02-2-11−33000-11−33-1-111−3−333−2i2i000000i−ii−i−i3i3−i3i30000000i−i−i3i30000000000
χ552-2-222-1002-2-212-11-2−33−33-10-221-11002−33−33−33-11-22i−2i2i−2i0-221-13−3000-11−3311-1-133−3−3−2i2i000000−ii−iii3−i3i3−i30000000i−i−i3i30000000000
χ562-2-222-1002-2-212-11-2−33−33-10-221-11002−33−33−33-11-2−2i2i−2i2i0-221-13−3000-11−3311-1-133−3−32i−2i000000i−ii−i−i3i3−i3i30000000−iii3−i30000000000
χ5744444-244-4-44-24-2-24-2-2-2-2-2-400-2-2-244-422-2-2-2-222-400000000000-4002222000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-24-2-242222-2400-2-2-2-4-4-4-2-2222222-40000000000040022-2-2000000000000000000000000000000000000000000000
χ594444-2444-4-4-24-244-24444-2-400-2-2-2-2-22-4-4-2-2-2-2-4-42000000000002002222000000000000000000000000000000000000000000000
χ604444-24-4-4-4-4-24-244-2-4-4-4-4-2400-2-2-2222442222-4-4200000000000-20022-2-2000000000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-2-21111-2-2-20000-4222222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-400111-2-2222111122200000000000200-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-400111-2-2222111122200000000000200-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-222221-44411122-222-1-1-1-1-2-2-20000-4-2-2-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-411122-222-1-1-1-1-2-2-2000042222-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-222221400111222-2-2-1-1-1-122200000000000-200-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-222221400111222-2-2-1-1-1-122200000000000-200-1-111-33-333-33-30000000000000000000000000000000000000
χ6944-4-44-24-4004-2-422-4-2-222-2000-2224-4000-2-2220002222−22−2200000000000000000000000022−220000−2−222−2−222000000000000000000000
χ7044-4-44-24-4004-2-422-4-2-222-2000-2224-4000-2-222000−22−222222000000000000000000000000−2222000022−2−222−2−2000000000000000000000
χ7144-4-44-2-44004-2-422-422-2-2-2000-222-4400022-2-20002222−22−22000000000000000000000000−22220000−2−22222−2−2000000000000000000000
χ7244-4-44-2-44004-2-422-422-2-2-2000-222-4400022-2-2000−22−22222200000000000000000000000022−22000022−2−2−2−222000000000000000000000
χ7344-4-4-244-400-242-4-4244-4-4-2000-222-22000-2-22200000000000000000000000000000000022−2222−220000000000000000000−22−22000000
χ7444-4-4-244-400-242-4-4244-4-4-2000-222-22000-2-222000000000000000000000000000000000−2222−222200000000000000000002−22−2000000
χ7544-4-4-24-4400-242-4-42-4-444-2000-2222-200022-2-200000000000000000000000000000000022−22−22220000000000000000000−222−2000000
χ7644-4-4-24-4400-242-4-42-4-444-2000-2222-200022-2-2000000000000000000000000000000000−222222−2200000000000000000002−2−22000000
χ774-44-4440000-4-4-4-44400004000-4-44000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ784-44-4440000-4-4-4-44400004000-4-440000000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ794-44-44-20000-42-42-2423−23−2323-200022-20000023−23−2323000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2i6−i6−i6i6000000000000000000000
χ804-44-44-20000-42-42-2423−23−2323-200022-20000023−23−23230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−i6i6i6−i6000000000000000000000
χ814-44-44-20000-42-42-24−232323−23-200022-200000−232323−23000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−i6i6i6−i6000000000000000000000
χ824-44-44-20000-42-42-24−232323−23-200022-200000−232323−230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2i6−i6−i6i6000000000000000000000
χ834-4-444400-44-4-444-4-400004000-44-400-4000000-44400000000000000-4400000000000000000000000000000000000000000000000
χ844-4-444-200-44-424-22-423−2323−23-20002-2200-4−232323−2323−232-24000000000000002-2−2323000000000000000000000000000000000000000000000
χ854-4-444-200-44-424-22-4−2323−2323-20002-2200-423−23−2323−23232-24000000000000002-223−23000000000000000000000000000000000000000000000
χ864-4-44-24004-42-4-24-420000-204-42-2200-20000004-4200000-224-400000-2200-2-22200000000000000000000000000000000000000000
χ874-4-44-24004-42-4-24-420000-20-442-2200-20000004-42000002-2-4400000-220022-2-200000000000000000000000000000000000000000
χ884-4-44-2400-442-4-24-420000-20002-22002000000-44-200000000000023−232-200000023−23−23230000000000000000000000000000000000000
χ894-4-44-2400-442-4-24-420000-20002-22002000000-44-2000000000000−23232-2000000−232323−230000000000000000000000000000000000000
χ904-4-44-2-2004-422-2-22223−2323−23104-4-11-100-223−23−33−33-22200000-22-2223−230001-1−3311-1-1−3−3330000000000000000000000000000000000000
χ914-4-44-2-2004-422-2-22223−2323−2310-44-11-100-223−23−33−33-222000002-22-2−23230001-1−33-1-11133−3−30000000000000000000000000000000000000
χ924-4-44-2-2004-422-2-222−2323−2323104-4-11-100-2−23233−33−3-22200000-22-22−23230001-13−311-1-133−3−30000000000000000000000000000000000000
χ934-4-44-2-2004-422-2-222−2323−232310-44-11-100-2−23233−33−3-222000002-22-223−230001-13−3-1-111−3−3330000000000000000000000000000000000000
χ944-4-44-2-200-4422-2-22223−2323−231000-11-1002−2323−33−332-2-200000000000023−23-113−3-333-3−333−30000000000000000000000000000000000000
χ954-4-44-2-200-4422-2-22223−2323−231000-11-1002−2323−33−332-2-2000000000000−2323-113−33-3-333−3−330000000000000000000000000000000000000
χ964-4-44-2-200-4422-2-222−2323−23231000-11-100223−233−33−32-2-200000000000023−23-11−333-3-33−333−30000000000000000000000000000000000000
χ974-4-44-2-200-4422-2-222−2323−23231000-11-100223−233−33−32-2-2000000000000−2323-11−33-333-33−3−330000000000000000000000000000000000000
χ9888-8-8-4-48-800-4-44444-4-44420002-2-2-4400022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-8800-4-4444444-4-420002-2-24-4000-2-222000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4800004-84-88-40000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-400004444-4-443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-400004444-4-4−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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