Finite Group Databasebeta

← Group #11887643

Character table — Group #11887643

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666634446661212121212121212121212121212121222224121212121212121212121212121212121212121244666688888888444412121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-11111111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-2002222222-2-2-200002222-222220-20000-200-2-2-2-200000000-2-22222000000000000-2-2000000000000000
χ1822222222-2-22222222-2002222222-2-2-200002222-2-2-2-2-20-20000-200-2-2-2-20000000022-2-2-2-200000000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-2020000200-2-22200000000-2222-2-2000000000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-222020000200-2-222000000002-2-2-2220000000000002-2000000000000000
χ2122222-122222-12-12-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1222222-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000022-1-1-1-1-1-100000000000
χ2222222-122222-12-12-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-2-2-22-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-2-211111100000000000
χ2322222-122222-12-12-1-12-2-2-1-1-122-1-12-1-11111-1-1-1-122222-2-1-2-2112-2-2-1-1-1-11111111122-1-1-1-10000000000-2-2-1-1111100000000000
χ2422222-122222-12-12-1-12-2-2-1-1-122-1-12-1-11111-1-1-1-12-2-2-2-2-2-1-2-2112-2-2-1-1-1-111111111-2-2111100000000002211-1-1-1-100000000000
χ2522222-122-2-22-12-12-1-1-200-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-222220100−i3i3-2001111−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-100000000000011−i3i3−i3i300000000000
χ2622222-122-2-22-12-12-1-1-200-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2-2-2-2-20100−i3i3-2001111−i3−i3i3i3−i3−i3i3i3221111000000000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-22-12-12-1-1-200-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-222220100i3−i3-2001111i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-100000000000011i3−i3i3−i300000000000
χ2822222-122-2-22-12-12-1-1-200-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2-2-2-2-20100i3−i3-2001111i3i3−i3−i3i3i3−i3−i3221111000000000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-2222-12-12-1-1-222-1-1-1-2-2112-1-1-1-1-1-11111222-2-2-212211-2-2-2-1-111-1-1-1-111112-2-1-11100000000002-2-11-1-11100000000000
χ3022222-1-2-2222-12-12-1-1-222-1-1-1-2-2112-1-1-1-1-1-111112-2-222-212211-2-2-2-1-111-1-1-1-11111-2211-1-10000000000-221-111-1-100000000000
χ3122222-1-2-2222-12-12-1-1-2-2-2-1-1-1-2-2112-1-111111111222-2-221-2-2-1-1-222-1-1111111-1-1-1-12-2-1-1110000000000-22-1111-1-100000000000
χ3222222-1-2-2222-12-12-1-1-2-2-2-1-1-1-2-2112-1-1111111112-2-22221-2-2-1-1-222-1-1111111-1-1-1-1-2211-1-100000000002-21-1-1-11100000000000
χ3322222-1-2-2-2-22-12-12-1-1200-1-1-1-2-211-211−i3−i3i3i31111-222-2-20-100i3−i320011-1-1−i3−i3i3i3i3i3−i3−i3-22-1-1110000000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-22-12-12-1-1200-1-1-1-2-211-211−i3−i3i3i31111-2-2-2220-100i3−i320011-1-1−i3−i3i3i3i3i3−i3−i32-211-1-1000000000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-22-12-12-1-1200-1-1-1-2-211-211i3i3−i3−i31111-222-2-20-100−i3i320011-1-1i3i3−i3−i3−i3−i3i3i3-22-1-1110000000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-22-12-12-1-1200-1-1-1-2-211-211i3i3−i3−i31111-2-2-2220-100−i3i320011-1-1i3i3−i3−i3−i3−i3i3i32-211-1-1000000000000-11−i3i3i3−i300000000000
χ372222-122222-12-12-12-1222-1-1-1-1-122-1222222-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000222200002200000000-1-1-1-10000-1-10
χ382222-122222-12-12-12-1222-1-1-1-1-122-1222222-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-20000000011110000110
χ392222-122222-12-12-12-12-2-2-1-1-1-1-122-122-2-2-2-2-1-1-1-1-10000-2211-2-2-111-1-1-1-11111111100000022220000-2-200000000-1-1-1-10000110
χ402222-122222-12-12-12-12-2-2-1-1-1-1-122-122-2-2-2-2-1-1-1-1-10000-2211-2-2-111-1-1-1-111111111000000-2-2-2-20000220000000011110000-1-10
χ412222-12-2-222-12-12-12-1-222-1-1-111-2-2-12222221111-10000-2-2-1-1-2-2111-1-111-1-1-1-1111100000022-2-200002-200000000-1-1110000-110
χ422222-12-2-222-12-12-12-1-222-1-1-111-2-2-12222221111-10000-2-2-1-1-2-2111-1-111-1-1-1-11111000000-2-2220000-220000000011-1-100001-10
χ432222-12-2-222-12-12-12-1-2-2-2-1-1-111-2-2-122-2-2-2-21111-100002-211221-1-1-1-1111111-1-1-1-100000022-2-20000-2200000000-1-11100001-10
χ442222-12-2-222-12-12-12-1-2-2-2-1-1-111-2-2-122-2-2-2-21111-100002-211221-1-1-1-1111111-1-1-1-1000000-2-22200002-20000000011-1-10000-110
χ4522-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-202-22-2000000000000000000000002-22-22−22−222−2−200000000002−22−2002−2000
χ4622-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-202-22-2000000000000000000000002-22-2−22−22−2−2220000000000−22−2200−22000
χ4722-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-20-22-2200000000000000000000000-22-222−22−2−2−22200000000002−22−200−22000
χ4822-2-2222-20022-2-2-2-220002-2-22-22-2000000022-2-20-22-2200000000000000000000000-22-22−22−2222−2−20000000000−22−22002−2000
χ4922-2-222-220022-2-2-2-220002-2-2-22-220000000-2-22202-2-22000000000000000000000002-2-222−2−2222−2−200000000002−2−2200−22000
χ5022-2-222-220022-2-2-2-220002-2-2-22-220000000-2-22202-2-22000000000000000000000002-2-22−222−2−2−2220000000000−222−2002−2000
χ5122-2-222-220022-2-2-2-220002-2-2-22-220000000-2-2220-222-200000000000000000000000-222-22−2−22−2−22200000000002−2−22002−2000
χ5222-2-222-220022-2-2-2-220002-2-2-22-220000000-2-2220-222-200000000000000000000000-222-2−222−222−2−20000000000−222−200−22000
χ532-2-2222002-2-2-22-2-22202-2-22-2000022-22-22-20000-20000002-2000002-2002-22-2000000000000002i−2i2i−2i000000000000002i−2i00000
χ542-2-2222002-2-2-22-2-22202-2-22-2000022-22-22-20000-20000002-2000002-2002-22-200000000000000−2i2i−2i2i00000000000000−2i2i00000
χ552-2-2222002-2-2-22-2-2220-22-22-2000022-2-22-220000-2000000-22000002-200-22-22000000000000002i−2i2i−2i00000000000000−2i2i00000
χ562-2-2222002-2-2-22-2-2220-22-22-2000022-2-22-220000-2000000-22000002-200-22-2200000000000000−2i2i−2i2i000000000000002i−2i00000
χ574444-2444-4-4-24-24-24-2-400-2-2-2-2-2442-4-40000-2-2-2-2200000-4000020022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-2400-2-2-222-4-42-4-40000222220000040000-20022-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-2222−2i3−2i32i32i31111200000200−2i32i3200-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-22222i32i3−2i3−2i311112000002002i3−2i3200-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4441112222-2-2-2-2-2-2-2-1-1-1-1-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-41112222-2-2-22222-1-1-1-1-200004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-1200000-2002i3−2i3-200-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-1200000-200−2i32i3-200-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24-4004-2-42-42-2000-2224-4-220000000-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ6844-4-44-24-4004-2-42-42-2000-2224-4-220000000-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ6944-4-44-2-44004-2-42-42-2000-222-442-2000000022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ7044-4-44-2-44004-2-42-42-2000-222-442-2000000022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ7144-4-4-244-400-242-42-4-2000-222-224-40000000-2-2220000000000000000000000000000000022−2222−2200000000000000−22−220000000
χ7244-4-4-244-400-242-42-4-2000-222-224-40000000-2-22200000000000000000000000000000000−2222−2222000000000000002−22−20000000
χ7344-4-4-24-4400-242-42-4-2000-2222-2-44000000022-2-20000000000000000000000000000000022−22−222200000000000000−222−20000000
χ7444-4-4-24-4400-242-42-4-2000-2222-2-44000000022-2-200000000000000000000000000000000−222222−22000000000000002−2−220000000
χ754-44-4440000-4-4-444-44000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ764-44-4440000-4-4-444-44000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ774-4-444400-44-4-44-4-444000-44-40000-4-440000000040000000000000-44000000000000000000000000000000000000000000000
χ784-4-444-2004-4-4242-4-2-204-42-2200004-22-22-220000-40000004-400000-2200-22-22000000000000000000000000000000000000000
χ794-4-444-2004-4-4242-4-2-20-442-2200004-222-22-20000-4000000-4400000-22002-22-2000000000000000000000000000000000000000
χ804-4-444-200-44-4242-4-2-20002-220000-42-2−2i32i32i3−2i30000400000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000
χ814-4-444-200-44-4242-4-2-20002-220000-42-22i3−2i3−2i32i30000400000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000
χ824-4-44-24004-42-4-2-424-204-42-220000-24-44-44-400002000000-2200000-2200-22-22000000000000000000000000000000000000000
χ834-4-44-24004-42-4-2-424-20-442-220000-24-4-44-44000020000002-200000-22002-22-2000000000000000000000000000000000000000
χ844-4-44-2400-442-4-2-424-20002-2200002-4400000000-20000000000023−232-200000023−2323−2300000000000000000000000000000000000
χ854-4-44-2400-442-4-2-424-20002-2200002-4400000000-200000000000−23232-2000000−2323−232300000000000000000000000000000000000
χ864-4-44-2-2004-422-222-2104-4-11-10000-2-22-22-223i−3i3i−3i2000000-22000001-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000000
χ874-4-44-2-2004-422-222-2104-4-11-10000-2-22-22-22−3i3i−3i3i2000000-22000001-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000000
χ884-4-44-2-2004-422-222-210-44-11-10000-2-222-22-23i−3i3i−3i20000002-2000001-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000000
χ894-4-44-2-2004-422-222-210-44-11-10000-2-222-22-2−3i3i−3i3i20000002-2000001-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000000
χ904-4-44-2-200-4422-222-21000-11-1000022-2−2i32i32i3−2i33i−3i3i−3i-200000000000−2323-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000000
χ914-4-44-2-200-4422-222-21000-11-1000022-2−2i32i32i3−2i3−3i3i−3i3i-20000000000023−23-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000000
χ924-4-44-2-200-4422-222-21000-11-1000022-22i3−2i3−2i32i33i−3i3i−3i-20000000000023−23-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000000
χ934-4-44-2-200-4422-222-21000-11-1000022-22i3−2i3−2i32i3−3i3i−3i3i-200000000000−2323-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000000
χ9488-8-8-4-48-800-4-4444420002-2-2-44-44000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-8800-4-4444420002-2-24-44-40000000-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-88-88-40000-84-8-484-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4800004-848-4-8-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40000444-4-442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000444-4-442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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