Finite Group Databasebeta

← Group #11885747

Character table — Group #11885747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order12223344446666662234666666612121212121212121212121222224666666121212121212121212121212121244666688888888222266661212242424242288664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ61111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-11
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1
χ9111111-1-111111111111-111111111-1-1-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-111111-11-111-1-11-111-1-111-1-11-1-1
χ10111111-1-111111111111-111111111-1-1-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-11-1-1111-1-11-1-1-111-1-111-111
χ11111111-1-111111111111-111111111-1-1-1-111-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-111-1111-1-1-1-1111-11
χ12111111-1-111111111111-111111111-1-1-1-111-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1111111-11-11-1-111-11-1-11111-1-1-11-1
χ13111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1111111-1-111111-111-1-111-1-11111-11-11-1-1111-111-1-1-1-1-1-1-111
χ14111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1111111-1-111111-111-1-1-1-111-1-1-1-1-111-1-1-1111-1-1-11111111-1-1
χ15111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-11111-11-1-11111-1-1-1-1-1-11-1-1111-1-1-1111-1-11111-11-1
χ16111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-11111-11-1-111-1-11111111-11-111-1-1-11-1-111-1-1-1-11-11
χ1722222222-2-2222222002-20000222-22222-2-22222-222220000000-2-20000-2-2-2-20000-2-222220000000000000000-2-200000000000
χ1822222222-2-2222222002-20000222-22222-2-22222-2-2-2-2-20000000-2-20000-2-2-2-2000022-2-2-2-200000000000000002200000000000
χ19222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-222-2-20000000220000-2-2220000-2222-2-20000000000000000-2200000000000
χ20222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000220000-2-22200002-2-2-22200000000000000002-200000000000
χ2122222-1222222-12-1-122-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000002200-1-1-1-1-1-100000000000
χ2222222-1222222-12-1-122-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2111100000000-2-20011111100000000000
χ2322222-1222222-12-1-1-2-2-121111-1-1-1222-1-1-1-1-1-1-1-122222-2-2-211112-1-2-211-1-1-1-1111122-1-1-1-100000000-2-2001111-1-100000000000
χ2422222-1222222-12-1-1-2-2-121111-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-211112-1-2-211-1-1-1-11111-2-21111000000002200-1-1-1-11100000000000
χ2522222-122-2-222-12-1-100-1-2−i3−i3i3i3-1-1-1-222-1-111-1-1-1-1-22222000−i3−i3i3i3-2100−i3i31111−i3−i3i3i3-2-2-1-1-1-1000000000000−i3i3−i3i31100000000000
χ2622222-122-2-222-12-1-100-1-2−i3−i3i3i3-1-1-1-222-1-111-1-1-1-1-2-2-2-2-2000−i3−i3i3i3-2100−i3i31111−i3−i3i3i3221111000000000000i3−i3i3−i3-1-100000000000
χ2722222-122-2-222-12-1-100-1-2i3i3−i3−i3-1-1-1-222-1-111-1-1-1-1-22222000i3i3−i3−i3-2100i3−i31111i3i3−i3−i3-2-2-1-1-1-1000000000000i3−i3i3−i31100000000000
χ2822222-122-2-222-12-1-100-1-2i3i3−i3−i3-1-1-1-222-1-111-1-1-1-1-2-2-2-2-2000i3i3−i3−i3-2100i3−i31111i3i3−i3−i3221111000000000000−i3i3−i3i3-1-100000000000
χ2922222-1-2-22222-12-1-122-1-2-1-1-1-1-1-1-12-2-211-1-11111222-2-2-222-1-1-1-1-21-2-211-1-11111112-2-1-111000000002-200-1-111-1100000000000
χ3022222-1-2-22222-12-1-122-1-2-1-1-1-1-1-1-12-2-211-1-111112-2-222-222-1-1-1-1-21-2-211-1-1111111-2211-1-100000000-220011-1-11-100000000000
χ3122222-1-2-22222-12-1-1-2-2-1-21111-1-1-12-2-211-1-11111222-2-22-2-21111-2122-1-1-1-111-1-1-1-12-2-1-11100000000-220011-1-1-1100000000000
χ3222222-1-2-22222-12-1-1-2-2-1-21111-1-1-12-2-211-1-111112-2-2222-2-21111-2122-1-1-1-111-1-1-1-1-2211-1-1000000002-200-1-1111-100000000000
χ3322222-1-2-2-2-222-12-1-100-12−i3−i3i3i3-1-1-1-2-2-211111111-222-2-2000−i3−i3i3i32-100i3−i311-1-1i3i3−i3−i3-22-1-111000000000000−i3i3i3−i31-100000000000
χ3422222-1-2-2-2-222-12-1-100-12−i3−i3i3i3-1-1-1-2-2-211111111-2-2-222000−i3−i3i3i32-100i3−i311-1-1i3i3−i3−i32-211-1-1000000000000i3−i3−i3i3-1100000000000
χ3522222-1-2-2-2-222-12-1-100-12i3i3−i3−i3-1-1-1-2-2-211111111-222-2-2000i3i3−i3−i32-100−i3i311-1-1−i3−i3i3i3-22-1-111000000000000i3−i3−i3i31-100000000000
χ3622222-1-2-2-2-222-12-1-100-12i3i3−i3−i3-1-1-1-2-2-211111111-2-2-222000i3i3−i3−i32-100−i3i311-1-1−i3−i3i3i32-211-1-1000000000000−i3i3i3−i3-1100000000000
χ372222-122222-1-12-12222-122222-1-1-1-1-1-12222-1-1-1-1-100002-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000222200000022000000-1-1-1-10000-1-10
χ382222-122222-1-12-12222-122222-1-1-1-1-1-12222-1-1-1-1-100002-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000-2-2-2-2000000-2-200000011110000110
χ392222-122222-1-12-122-2-2-12-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-10000-2111111-1211-2-2-1-1-1-111110000002222000000-2-2000000-1-1-1-10000110
χ402222-122222-1-12-122-2-2-12-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-10000-2111111-1211-2-2-1-1-1-11111000000-2-2-2-20000002200000011110000-1-10
χ412222-12-2-222-1-12-12222-1-22222-1-1-1-111-2-2221111-10000-2-1-1-1-1-1-11-211-2-2-1-111111100000022-2-20000002-2000000-1-1110000-110
χ422222-12-2-222-1-12-12222-1-22222-1-1-1-111-2-2221111-10000-2-1-1-1-1-1-11-211-2-2-1-1111111000000-2-222000000-2200000011-1-100001-10
χ432222-12-2-222-1-12-122-2-2-1-2-2-2-2-2-1-1-1-111-2-2221111-1000021111111-2-1-122-1-111-1-1-1-100000022-2-2000000-22000000-1-11100001-10
χ442222-12-2-222-1-12-122-2-2-1-2-2-2-2-2-1-1-1-111-2-2221111-1000021111111-2-1-122-1-111-1-1-1-1000000-2-2220000002-200000011-1-10000-110
χ452-22-22200-222-2-2-2-222-2202-22-22-2-2-200002-200002000002-22-22-20000002-2000000000000000022-2-2000000000000002-200000
χ462-22-22200-222-2-2-2-222-2202-22-22-2-2-200002-200002000002-22-22-20000002-20000000000000000-2-22200000000000000-2200000
χ472-22-22200-222-2-2-2-22-2220-22-222-2-2-200002-20000200000-22-22-220000002-2000000000000000022-2-200000000000000-2200000
χ482-22-22200-222-2-2-2-22-2220-22-222-2-2-200002-20000200000-22-22-220000002-20000000000000000-2-222000000000000002-200000
χ492-2-22222-200-2-2-222-200200000-2-2202-22-20022-2-202-22-2000000000000000000000002-22-22−22−22−22−200000000002−22−2002−2000
χ502-2-22222-200-2-2-222-200200000-2-2202-22-20022-2-202-22-2000000000000000000000002-22-2−22−22−22−220000000000−22−2200−22000
χ512-2-22222-200-2-2-222-200200000-2-2202-22-20022-2-20-22-2200000000000000000000000-22-222−22−2−22−2200000000002−22−200−22000
χ522-2-22222-200-2-2-222-200200000-2-2202-22-20022-2-20-22-2200000000000000000000000-22-22−22−222−22−20000000000−22−22002−2000
χ532-2-2222-2200-2-2-222-200200000-2-220-22-2200-2-22202-2-22000000000000000000000002-2-222−2−222−22−200000000002−2−2200−22000
χ542-2-2222-2200-2-2-222-200200000-2-220-22-2200-2-22202-2-22000000000000000000000002-2-22−222−2−22−220000000000−222−2002−2000
χ552-2-2222-2200-2-2-222-200200000-2-220-22-2200-2-2220-222-200000000000000000000000-222-22−2−22−22−2200000000002−2−22002−2000
χ562-2-2222-2200-2-2-222-200200000-2-220-22-2200-2-2220-222-200000000000000000000000-222-2−222−22−22−20000000000−222−200−22000
χ574444-2444-4-4-2-24-24400-2-40000-2-2-22-2-244-4-4-2-2-2-22000000000002-400002222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-24400-240000-2-2-2222-4-4-4-42222200000000000-24000022-2-2000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-2-21111-200004-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-20000-422-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2001-4−2i3−2i32i32i31112-2-2-2-222111120000000i3i3−i3−i32200−2i32i3-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2001-42i32i3−2i3−2i31112-2-2-2-222111120000000−i3−i3i3i322002i3−2i3-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2441-4-2-2-2-2111-22222-2-2-1-1-1-1-20000-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4-41-42222111-22222-2-2-1-1-1-1-20000422-1-1-1-122-2-2-2-211-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-120000000i3i3−i3−i3-2-2002i3−2i3-1-111−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-120000000−i3−i3i3i3-2-200−2i32i3-1-111i3i3−i3−i300000000000000000000000000000000000
χ6744-4-4440000-444-4-4-400400000-44-40000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ6844-4-4440000-444-4-4-400400000-44-400000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ694-44-444004-44-4-4-4-44004000004-4-440000-440000-400000000000000000-4400000000000000000000000000000000000000000
χ704-44-44-2004-44-42-42-200-20−2i32i32i3−2i3-222400002-20000-40000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000000
χ714-44-44-2004-44-42-42-200-202i3−2i3−2i32i3-222400002-20000-400000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000000
χ724-44-44-200-444-42-42-24-4-20-22-22-222-40000-2200004000004-4-22-22000000-2200000000000000000000000000000000000000000
χ734-44-44-200-444-42-42-2-44-202-22-2-222-40000-220000400000-442-22-2000000-2200000000000000000000000000000000000000000
χ744-44-4-24004-4-22-42-4400-200000-222-20000-4400002000000000000023−23002-20023−2323−2300000000000000000000000000000000000
χ754-44-4-24004-4-22-42-4400-200000-222-20000-44000020000000000000−2323002-200−2323−232300000000000000000000000000000000000
χ764-44-4-2400-44-22-42-444-4-204-44-4-222200004-40000-200000-22-22-22000000-2200000000000000000000000000000000000000000
χ774-44-4-2400-44-22-42-44-44-20-44-44-222200004-40000-2000002-22-22-2000000-2200000000000000000000000000000000000000000
χ784-44-4-2-2004-4-22222-20010−2i32i32i3−2i31-1-1-200002-23i−3i3i−3i20000000i3−i3−i3i30023−2300-113i−3i−33−3300000000000000000000000000000000000
χ794-44-4-2-2004-4-22222-20010−2i32i32i3−2i31-1-1-200002-2−3i3i−3i3i20000000i3−i3−i3i300−232300-11−3i3i3−33−300000000000000000000000000000000000
χ804-44-4-2-2004-4-22222-200102i3−2i3−2i32i31-1-1-200002-23i−3i3i−3i20000000−i3i3i3−i300−232300-113i−3i3−33−300000000000000000000000000000000000
χ814-44-4-2-2004-4-22222-200102i3−2i3−2i32i31-1-1-200002-2−3i3i−3i3i20000000−i3i3i3−i30023−2300-11−3i3i−33−3300000000000000000000000000000000000
χ824-44-4-2-200-44-22222-24-410-22-221-1-120000-223i−3i3i−3i-200000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000000
χ834-44-4-2-200-44-22222-24-410-22-221-1-120000-22−3i3i−3i3i-200000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000000
χ844-44-4-2-200-44-22222-2-44102-22-21-1-120000-223i−3i3i−3i-2000002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000000
χ854-44-4-2-200-44-22222-2-44102-22-21-1-120000-22−3i3i−3i3i-2000002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000000
χ864-4-444-24-400-4-424-2200-20000022-204-4-2200-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ874-4-444-24-400-4-424-2200-20000022-204-4-2200-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ884-4-444-2-4400-4-424-2200-20000022-20-442-20022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ894-4-444-2-4400-4-424-2200-20000022-20-442-20022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ904-4-44-244-40022-4-24-400-20000022-20-224-400-2-2220000000000000000000000000000000022−2222−2200000000000000−22−220000000
χ914-4-44-244-40022-4-24-400-20000022-20-224-400-2-22200000000000000000000000000000000−2222−2222000000000000002−22−20000000
χ924-4-44-24-440022-4-24-400-20000022-202-2-440022-2-20000000000000000000000000000000022−22−222200000000000000−222−20000000
χ934-4-44-24-440022-4-24-400-20000022-202-2-440022-2-200000000000000000000000000000000−222222−22000000000000002−2−220000000
χ9488-8-88-40000-88-4-84400-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4800004-484-8-800-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004-4-444400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004-4-444400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-800444-4-4400200000-2-220-44-440022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-8800444-4-4400200000-2-2204-44-400-2-2220000000000000000000000000000000000000000000000000000000000000

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