Finite Group Databasebeta

← Group #11887541

Character table — Group #11887541

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666634446661212121212121212121212121212121222224121212121212121212121212121212121212121244666688888888444412121212121224242424448812122
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
χ5111111111111111111-1-11111111111-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-11-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-11-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-11-1-111-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-111111-1-11-1-1111111-1-1-1-11-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-11-1-1111111-1-1-1-11-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1-111-11-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-11-1-11-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-20022222-222-2-200002222-222220-2-2000000-2-2-2-200000000-2-22222000000000000-2-2000000000000000
χ1822222222-2-22222222-20022222-222-2-200002222-2-2-2-2-20-2-2000000-2-2-2-20000000022-2-2-2-200000000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-2022000000-2-22200000000-2222-2-2000000000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-222022000000-2-222000000002-2-2-2220000000000002-2000000000000000
χ2122222-12222-122-12-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000002200-1-1-1-1-1-100000000000
χ2222222-12222-122-12-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000-2-20011111100000000000
χ2322222-12222-122-12-1-12-2-2-1-1-1-1-1222-1-11111-1-1-1-122222-22-1-2-2-2-211-1-1-1-11111111122-1-1-1-100000000-2-200-1-1111100000000000
χ2422222-12222-122-12-1-12-2-2-1-1-1-1-1222-1-11111-1-1-1-12-2-2-2-2-22-1-2-2-2-211-1-1-1-111111111-2-2111100000000220011-1-1-1-100000000000
χ2522222-122-2-2-122-12-1-1-200-1-1-1-1-1-22211−i3−i3i3i3-1-1-1-1-222220-210000−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-100000000000011−i3i3−i3i300000000000
χ2622222-122-2-2-122-12-1-1-200-1-1-1-1-1-22211−i3−i3i3i3-1-1-1-1-2-2-2-2-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i3221111000000000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-2-122-12-1-1-200-1-1-1-1-1-22211i3i3−i3−i3-1-1-1-1-222220-210000i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-100000000000011i3−i3i3−i300000000000
χ2822222-122-2-2-122-12-1-1-200-1-1-1-1-1-22211i3i3−i3−i3-1-1-1-1-2-2-2-2-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i3221111000000000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-222-122-12-1-1-222-1-1-1112-2-2-1-1-1-1-1-11111222-2-2-2-2122-2-211-1-111-1-1-1-111112-2-1-111000000002-200-11-1-11100000000000
χ3022222-1-2-222-122-12-1-1-222-1-1-1112-2-2-1-1-1-1-1-111112-2-222-2-2122-2-211-1-111-1-1-1-11111-2211-1-100000000-22001-111-1-100000000000
χ3122222-1-2-222-122-12-1-1-2-2-2-1-1-1112-2-2-1-111111111222-2-22-21-2-222-1-1-1-1111111-1-1-1-12-2-1-11100000000-2200-1111-1-100000000000
χ3222222-1-2-222-122-12-1-1-2-2-2-1-1-1112-2-2-1-1111111112-2-2222-21-2-222-1-1-1-1111111-1-1-1-1-2211-1-1000000002-2001-1-1-11100000000000
χ3322222-1-2-2-2-2-122-12-1-1200-1-1-111-2-2-211−i3−i3i3i31111-222-2-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22-1-1110000000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-2-122-12-1-1200-1-1-111-2-2-211−i3−i3i3i31111-2-2-22202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-211-1-1000000000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-2-122-12-1-1200-1-1-111-2-2-211i3i3−i3−i31111-222-2-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22-1-1110000000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-2-122-12-1-1200-1-1-111-2-2-211i3i3−i3−i31111-2-2-22202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-211-1-1000000000000-11−i3i3i3−i300000000000
χ372222-1222222-1-12-12-1222-1-1-122-1-1-1222222-1-1-1-1-100002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000222200000022000000-1-1-1-10000-1-10
χ382222-1222222-1-12-12-1222-1-1-122-1-1-1222222-1-1-1-1-100002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000-2-200000011110000110
χ392222-1222222-1-12-12-12-2-2-1-1-122-1-1-122-2-2-2-2-1-1-1-1-10000-2-121111-2-2-1-1-1-1111111110000002222000000-2-2000000-1-1-1-10000110
χ402222-1222222-1-12-12-12-2-2-1-1-122-1-1-122-2-2-2-2-1-1-1-1-10000-2-121111-2-2-1-1-1-111111111000000-2-2-2-20000002200000011110000-1-10
χ412222-12-2-2222-1-12-12-1-222-1-1-1-2-2-1112222221111-10000-21-2-1-111-2-2-1-111-1-1-1-1111100000022-2-20000002-2000000-1-1110000-110
χ422222-12-2-2222-1-12-12-1-222-1-1-1-2-2-1112222221111-10000-21-2-1-111-2-2-1-111-1-1-1-11111000000-2-222000000-2200000011-1-100001-10
χ432222-12-2-2222-1-12-12-1-2-2-2-1-1-1-2-2-11122-2-2-2-21111-1000021-211-1-122-1-1111111-1-1-1-100000022-2-2000000-22000000-1-11100001-10
χ442222-12-2-2222-1-12-12-1-2-2-2-1-1-1-2-2-11122-2-2-2-21111-1000021-211-1-122-1-1111111-1-1-1-1000000-2-2220000002-200000011-1-10000-110
χ452-22-222002-2-22-2-2-22202-2-22-2002002-22-22-20000-200000002-200002-2002-22-2000000000000002i2i−2i−2i000000000000002i−2i00000
χ462-22-222002-2-22-2-2-22202-2-22-2002002-22-22-20000-200000002-200002-2002-22-200000000000000−2i−2i2i2i00000000000000−2i2i00000
χ472-22-222002-2-22-2-2-2220-22-22-2002002-2-22-220000-20000000-2200002-200-22-22000000000000002i2i−2i−2i00000000000000−2i2i00000
χ482-22-222002-2-22-2-2-2220-22-22-2002002-2-22-220000-20000000-2200002-200-22-2200000000000000−2i−2i2i2i000000000000002i−2i00000
χ492-2-22222-2002-2-2-22-220002-2-22-202-200000022-2-202-22-2000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i200−i2i2000
χ502-2-22222-2002-2-2-22-220002-2-22-202-200000022-2-202-22-2000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i200i2−i2000
χ512-2-22222-2002-2-2-22-220002-2-22-202-200000022-2-20-22-2200000000000000000000000-22-22−i2i2−i2i2i2−i2i2−i20000000000−i2i2−i2i200i2−i2000
χ522-2-22222-2002-2-2-22-220002-2-22-202-200000022-2-20-22-2200000000000000000000000-22-22i2−i2i2−i2−i2i2−i2i20000000000i2−i2i2−i200−i2i2000
χ532-2-2222-22002-2-2-22-220002-2-2-220-22000000-2-22202-2-22000000000000000000000002-2-22−i2i2i2−i2−i2i2−i2i20000000000−i2i2i2−i200i2−i2000
χ542-2-2222-22002-2-2-22-220002-2-2-220-22000000-2-22202-2-22000000000000000000000002-2-22i2−i2−i2i2i2−i2i2−i20000000000i2−i2−i2i200−i2i2000
χ552-2-2222-22002-2-2-22-220002-2-2-220-22000000-2-2220-222-200000000000000000000000-222-2−i2i2i2−i2i2−i2i2−i20000000000−i2i2i2−i200−i2i2000
χ562-2-2222-22002-2-2-22-220002-2-2-220-22000000-2-2220-222-200000000000000000000000-222-2i2−i2−i2i2−i2i2−i2i20000000000i2−i2−i2i200i2−i2000
χ574444-2444-4-44-2-24-24-2-400-2-2-2442-2-2-4-40000-2-2-2-22000002-400000022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-44-2-24-24-2400-2-2-2-4-4222-4-400002222200000-2400000022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-4-2-22222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-22-2-222−2i3−2i32i32i31111200000220000−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-22-2-2222i32i3−2i3−2i311112000002200002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-44411122-222-2-2-2-2-2-2-1-1-1-1-20000-422-2-2222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-222-2-22222-1-1-1-1-2000042222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-1200000-2-200002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-1200000-2-20000−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-4440000-4-444-4-44000-4-4400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ6844-4-4440000-4-444-4-44000-4-44000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ694-44-44400-44-44-4-4-444000-44-400-400-440000000040000000000000-44000000000000000000000000000000000000000000000
χ704-44-44-2004-424-42-4-2-204-42-2200400-22-22-220000-400000004-40000-2200-22-22000000000000000000000000000000000000000
χ714-44-44-2004-424-42-4-2-20-442-2200400-222-22-20000-40000000-440000-22002-22-2000000000000000000000000000000000000000
χ724-44-44-200-4424-42-4-2-20002-2200-4002-2−2i32i32i3−2i30000400000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000
χ734-44-44-200-4424-42-4-2-20002-2200-4002-22i3−2i3−2i32i30000400000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000
χ744-44-4-24004-4-4-22-424-204-42-2200-2004-44-44-4000020000000-220000-2200-22-22000000000000000000000000000000000000000
χ754-44-4-24004-4-4-22-424-20-442-2200-2004-4-44-440000200000002-20000-22002-22-2000000000000000000000000000000000000000
χ764-44-4-2400-44-4-22-424-20002-2200200-4400000000-200000000023−23002-200000023−2323−2300000000000000000000000000000000000
χ774-44-4-2400-44-4-22-424-20002-2200200-4400000000-2000000000−2323002-2000000−2323−232300000000000000000000000000000000000
χ784-44-4-2-2004-42-2222-2104-4-11-100-200-22-22-223i−3i3i−3i20000000-2200001-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000000
χ794-44-4-2-2004-42-2222-2104-4-11-100-200-22-22-22−3i3i−3i3i20000000-2200001-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000000
χ804-44-4-2-2004-42-2222-210-44-11-100-200-222-22-23i−3i3i−3i200000002-200001-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000000
χ814-44-4-2-2004-42-2222-210-44-11-100-200-222-22-2−3i3i−3i3i200000002-200001-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000000
χ824-44-4-2-200-442-2222-21000-11-1002002-2−2i32i32i3−2i33i−3i3i−3i-2000000000−232300-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000000
χ834-44-4-2-200-442-2222-21000-11-1002002-2−2i32i32i3−2i3−3i3i−3i3i-200000000023−2300-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000000
χ844-44-4-2-200-442-2222-21000-11-1002002-22i3−2i3−2i32i33i−3i3i−3i-200000000023−2300-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000000
χ854-44-4-2-200-442-2222-21000-11-1002002-22i3−2i3−2i32i3−3i3i−3i3i-2000000000−232300-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000000
χ864-4-444-24-400-2-4-4242-2000-222-2204-4000000-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ874-4-444-24-400-2-4-4242-2000-222-2204-4000000-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ884-4-444-2-4400-2-4-4242-2000-2222-20-4400000022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ894-4-444-2-4400-2-4-4242-2000-2222-20-4400000022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ904-4-44-244-400422-4-2-4-2000-2224-40-22000000-2-22200000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000
χ914-4-44-244-400422-4-2-4-2000-2224-40-22000000-2-222000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000
χ924-4-44-24-4400422-4-2-4-2000-222-4402-200000022-2-200000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i20000000
χ934-4-44-24-4400422-4-2-4-2000-222-4402-200000022-2-2000000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i20000000
χ9488-8-88-400004-88-4-84-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-480000-84-484-8-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4000044-4-4442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4000044-4-4442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-800-4444-4420002-2-2-440-4400000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-8800-4444-4420002-2-24-404-4000000-2-2220000000000000000000000000000000000000000000000000000000000000

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