Finite Group Databasebeta

← Group #11887621

Character table — Group #11887621

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12222233446666663466666661212121222444466121212121212121212124444446688881212121212121212121212128888441212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11-11-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111-1-11-1-111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1111-1-11-1-111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-11111-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1111-1-11-1-11111-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11111-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1111-1-11-1-11111-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-111
χ91111-1-111111111111-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-11111-1-1-11111111-1-111-1-111111-111-1-11111-1-1111-1-1-1-1-111-1-1-1-1-11
χ101111-1-111111111111-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-1-111111-111-1-1-1-1-1-1-111-1-111-1-1-1-1-111111-1
χ111111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-111-1-1-111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1111-1-1-111-1-11111-11
χ121111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-111-1-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-11-1-1111111111-1-111-11111-1-1-1-11-1
χ131111-1-111111111111-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11-1-111-1-111111-1-1111-1
χ141111-1-111111111111-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-1-111111-1-111-1-1-11
χ151111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-111-1-1-111-1-1111-111-1-111-1-1111111-11-1-1111111-1-1-111-1-11-1-1-1-111-1-11-1
χ161111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-111-1-1-111-1-1111-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-11-1-1-1111-1-111-1-111-11
χ1722222222-2-22222222-22222222-2-2-2-222220022-200-200-2-2-2-2-200-200220000220000000000000000-20000-20000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-20022-200-200-2-2-2-2200200-2-20000-2-200000000000000002000020000000000
χ192222222-12222-1-12-1-1222-1-1-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1222200-1-10000-1-1-1-1-1-122-1-1-1-1000020-10000-1-1-100000000
χ202222222-12222-1-12-1-1222-1-1-1-1-1-1-1222222-2-2-1-1-111211-1-1-1-12-2-2200-1-10000-1-11111-2-211110000-20-10000-11100000000
χ212222222-12222-1-12-1-1222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-2-2-2-20011000011111122-1-1-1-10000-201000011100000000
χ222222222-12222-1-12-1-1222-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-111211-1-1-1-1-222-20011000011-1-1-1-1-2-21111000020100001-1-100000000
χ232222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2222200-1-11−i3i3-2−i3i31111-200-200-1-10000-1-1−i3−i3i3i300−i3i3−i3i3000000100001−i3i300000000
χ242222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2222200-1-11i3−i3-2i3−i31111-200-200-1-10000-1-1i3i3−i3−i300i3−i3i3−i3000000100001i3−i300000000
χ252222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2-2-2-2-200-1-11−i3i3-2−i3i3111120020011000011i3i3−i3−i300−i3i3−i3i3000000-10000-1i3−i300000000
χ262222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2-2-2-2-200-1-11i3−i3-2i3−i3111120020011000011−i3−i3i3i300i3−i3i3−i3000000-10000-1−i3i300000000
χ27222222-1222-1-122-12-12-1-122-1-1-122-1-1000022-1-1222-122-1-1-1-1000022002222000000-1-1-1-1-1-10000020-1-1-1-1000-1-1-1-10000
χ28222222-1222-1-122-12-12-1-122-1-1-122-1-1000022-1-1222-122-1-1-1-10000-2-200-2-2-2-2000000-1-1-1-1-1-100000-20111100011110000
χ29222222-1222-1-122-12-12-1-122-1-1-122-1-10000-2-2-1-12-2-2-1-2-2-1-1-1-100002200-2-2-2-20000001111110000020-1-1-1-100011110000
χ30222222-1222-1-122-12-12-1-122-1-1-122-1-10000-2-2-1-12-2-2-1-2-2-1-1-1-10000-2-200222200000011111100000-201111000-1-1-1-10000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-222-2-200-2-2200200-2-222200-200220000-2-20000000000000000-2000020000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-2-2-22200-2-2200200-2-222-200200-2-2000022000000000000000020000-20000000000
χ332222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-12222-2-22-211111-2-1-1-1-111-222200-1-1000011-1-1-1-12-2-1-1110000-20-1000011100000000
χ342222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-12222-2-2-22111-1-1-211-1-111-2-2-2200-1-10000111111-2211-1-1000020-100001-1-100000000
χ352222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-122-2-2222-211111-2-1-1-1-1112-2-2-200110000-1-111112-2-1-11100002010000-1-1-100000000
χ362222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-122-2-222-22111-1-1-211-1-111222-200110000-1-1-1-1-1-1-2211-1-10000-2010000-11100000000
χ372222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-222-2-20011-1−i3i32i3−i311-1-1200-200-1-1000011i3i3−i3−i300i3−i3−i3i300000010000-1−i3i300000000
χ382222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-222-2-20011-1i3−i32−i3i311-1-1200-200-1-1000011−i3−i3i3i300−i3i3i3−i300000010000-1i3−i300000000
χ392222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-2-2-2220011-1−i3i32i3−i311-1-1-200200110000-1-1−i3−i3i3i300i3−i3−i3i3000000-100001i3−i300000000
χ402222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-2-2-2220011-1i3−i32−i3i311-1-1-200200110000-1-1i3i3−i3−i300−i3i3i3−i3000000-100001−i3i300000000
χ412222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-100002-211-2-2-2122-1-11100002200-2-222000000-11-1-11100000-20-1-111000-1-1110000
χ422222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-100002-211-2-2-2122-1-1110000-2-20022-2-2000000-11-1-111000002011-1-100011-1-10000
χ432222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-10000-2211-2221-2-2-1-1110000220022-2-20000001-111-1-100000-20-1-11100011-1-10000
χ442222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-10000-2211-2221-2-2-1-1110000-2-200-2-2220000001-111-1-1000002011-1-1000-1-1110000
χ4522-2-22-222002-22-2-2-2202-22-22-2-200002-22-2002-200000000000000002-22−22−22-2000000000022−2−200000000002−22−22−200
χ4622-2-22-222002-22-2-2-2202-22-22-2-200002-22-2002-200000000000000002-2−22−222-20000000000−2−2220000000000−22−22−2200
χ4722-2-22-222002-22-2-2-2202-22-22-2-20000-22-22002-20000000000000000-222−22−2-220000000000−2−22200000000002−22−2−2200
χ4822-2-22-222002-22-2-2-2202-22-22-2-20000-22-22002-20000000000000000-22−22−22-22000000000022−2−20000000000−22−222−200
χ4922-2-2-2222002-22-2-2-220-22-222-2-200002-2-2200-2200000000000000002-22−2−22-220000000000−2−2220000000000−222−22−200
χ5022-2-2-2222002-22-2-2-220-22-222-2-200002-2-2200-2200000000000000002-2−222−2-22000000000022−2−200000000002−2−22−2200
χ5122-2-2-2222002-22-2-2-220-22-222-2-20000-222-200-220000000000000000-222−2−222-2000000000022−2−20000000000−222−2−2200
χ5222-2-2-2222002-22-2-2-220-22-222-2-20000-222-200-220000000000000000-22−222−22-20000000000−2−22200000000002−2−222−200
χ532-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-20002i−2i02-2000000002i−2i2i−2i0000002i−2i2i−2i0002-20000000000000
χ542-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-20002i−2i0-22000000002i−2i2i−2i000000−2i2i−2i2i000-220000000000000
χ552-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-2000−2i2i02-200000000−2i2i−2i2i000000−2i2i−2i2i0002-20000000000000
χ562-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-2000−2i2i0-2200000000−2i2i−2i2i0000002i−2i2i−2i000-220000000000000
χ57444444-24-4-4-2-244-24-2-4-2-244-2-2-2-4-422000000-2-2-40020022220000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-200004411-2-2-2-2-2-21111000000000000000000-2-211110000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-20000-4-411-222-222111100000000000000000022-1-1-1-10000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222000000112−2i32i32−2i32i3-1-1-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220000001122i3−2i322i3−2i3-1-1-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ624444-4-4-24-4-4-2-244-24-2422-4-4-2-2-2-4-42200000022400-20022-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-200004-4-1-12222-2-211-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-20000-44-1-12-2-222211-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000-1-1-2−2i32i3-22i3−2i3-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000-1-1-22i3−2i3-2−2i32i3-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ6744-4-44-44-2004-4-22-42-204-4-22-22200004-44-400-220000000000000000-220000-2200000000000000000000000000000000
χ6844-4-44-44-2004-4-22-42-204-4-22-2220000-44-4400-2200000000000000002-200002-200000000000000000000000000000000
χ6944-4-44-4-2400-224-42-4-20-224-4-2220000000000-2200000000000000000022−2222−2200000000000000000000000000−22−220000
χ7044-4-44-4-2400-224-42-4-20-224-4-2220000000000-22000000000000000000−2222−2222000000000000000000000000002−22−20000
χ7144-4-4-444-2004-4-22-42-20-442-2-22200004-4-44002-20000000000000000-2200002-200000000000000000000000000000000
χ7244-4-4-444-2004-4-22-42-20-442-2-2220000-444-4002-200000000000000002-20000-2200000000000000000000000000000000
χ7344-4-4-44-2400-224-42-4-202-2-44-22200000000002-200000000000000000022−22−2222000000000000000000000000002−2−220000
χ7444-4-4-44-2400-224-42-4-202-2-44-22200000000002-2000000000000000000−222222−2200000000000000000000000000−222−20000
χ754-44-4004400-44-4-4-44400000-44-40000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ764-44-4004400-44-4-4-44400000-44-400000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ774-4-440044-44-4-4-444-4400000-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000
χ784-4-44004-24-4-4-42-242-20000022-2-224-400000000000000-220004i−4i00000000000−2i2i−2i2i0000000000000000000000000000
χ794-4-44004-24-4-4-42-242-20000022-2-224-400000000000000-22000−4i4i000000000002i−2i2i−2i0000000000000000000000000000
χ804-4-44004-2-44-4-42-242-20000022-22-2-44000000000000002-2000000000000000023−23−23230000000000000000000000000000
χ814-4-44004-2-44-4-42-242-20000022-22-2-44000000000000002-20000000000000000−232323−230000000000000000000000000000
χ824-4-4400-244-422-44-2-4-20000022-24-4-2200000000000000-220000004-40000000000000000000000000-220000000000000
χ834-4-4400-244-422-44-2-4-20000022-24-4-2200000000000000-22000000-4400000000000000000000000002-20000000000000
χ844-4-4400-24-4422-44-2-4-20000022-2-442-2000000000000002-200000000000000000000000000000000000−2i32i300000000000
χ854-4-4400-24-4422-44-2-4-20000022-2-442-2000000000000002-2000000000000000000000000000000000002i3−2i300000000000
χ8688-8-88-8-4-400-44-444420-44-442-2-200000000002-200000000000000000000000000000000000000000000000000000000
χ8788-8-8-88-4-400-44-4444204-44-42-2-20000000000-2200000000000000000000000000000000000000000000000000000000
χ888-88-8008-400-8844-8-4-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-48004-4-8-848-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-4004-4444-4200000-22-2000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ918-88-800-4-4004-4444-4200000-22-200000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ928-8-8800-4-48-8444-4-44200000-2-22-44-44000000000000002-2000000000000000000000000000000000000000000000000
χ938-8-8800-4-4-88444-4-44200000-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000

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