Finite Group Databasebeta

← Group #11889394

Character table — Group #11889394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666663444466612121212121212121212121212121212224121212121212121212121212121212121212121224466668844448121212121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111111-1-1-1-111111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111111111-1-1-1-11-1
χ811111111111111111-1-11111111111-1-1-1-111111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-11-1-1111111-1-1-1-1111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-111-1-111-111-1-11-111-1-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-11-1-1111111-1-1-1-1111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-111-1-1-1-11-11-111-111-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-11-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-11111-11-11-1-11-1-11111-1-1-1-1-1-11-111
χ12111111111111111-1-111111-1-11-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-111-1-11-1-111-11-1-111-1-1111111-11-1-1
χ13111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-111-1-1111-1-11-11-1-1-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-111-1-1-1-1-11-1111-1-1-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-11-1-111111-11-1-1-1111-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-11-1-111-1-1-111-11-1111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-200222-2-2-2-2-2-2-20000-2-2-2-2-222020000200-2-22200000000-2-2222-2-20000000-220000000000000000
χ18222222-2-222222222-200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2020000200-2-2220000000022-2-2-22200000002-20000000000000000
χ19222222-2-22222222-220022222-222-2-200002222-2220-20000-200-2-2-2-2000000002-2-222220000000-2-20000000000000000
χ20222222-2-22222222-220022222-222-2-200002222-2-2-20-20000-200-2-2-2-200000000-222-2-2-2-20000000220000000000000000
χ2122222-122-12-122-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10000220-1-1-1-1-1-1000000000000
χ2222222-122-12-122-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-22-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211110000-2-20111111000000000000
χ2322222-122-12-122-1-122-2-2-1-1-1-1-1222-1-11111-1-1-1-1222-2-1-2-2112-2-2-1-1-1-111111111222-1-1-1-10000-2-20-1-11111000000000000
χ2422222-122-12-122-1-122-2-2-1-1-1-1-1222-1-11111-1-1-1-12-2-2-2-1-2-2112-2-2-1-1-1-111111111-2-2-21111000022011-1-1-1-1000000000000
χ2522222-122-12-122-1-1-2-222-1-1-1112-2-2-1-1-1-1-1-11111222-212211-2-2-2-1-111-1-1-1-11111-22-2-1-11100002-20-11-1-111000000000000
χ2622222-122-12-122-1-1-2-222-1-1-1112-2-2-1-1-1-1-1-111112-2-2-212211-2-2-2-1-111-1-1-1-111112-2211-1-10000-2201-111-1-1000000000000
χ2722222-122-12-122-1-1-2-2-2-2-1-1-1112-2-2-1-11111111122221-2-2-1-1-222-1-1111111-1-1-1-1-22-2-1-1110000-220-1111-1-1000000000000
χ2822222-122-12-122-1-1-2-2-2-2-1-1-1112-2-2-1-1111111112-2-221-2-2-1-1-222-1-1111111-1-1-1-12-2211-1-100002-201-1-1-111000000000000
χ2922222-1-2-2-12-122-1-12-200-1-1-111-2-2-211−i3−i3i3i31111-2220-100−i3i320011-1-1−i3−i3i3i3−i3−i3i3i3-2-22-1-11100000001-1−i3i3−i3i3000000000000
χ3022222-1-2-2-12-122-1-12-200-1-1-111-2-2-211−i3−i3i3i31111-2-2-20-100−i3i320011-1-1−i3−i3i3i3−i3−i3i3i322-211-1-10000000-11i3−i3i3−i3000000000000
χ3122222-1-2-2-12-122-1-12-200-1-1-111-2-2-211i3i3−i3−i31111-2220-100i3−i320011-1-1i3i3−i3−i3i3i3−i3−i3-2-22-1-11100000001-1i3−i3i3−i3000000000000
χ3222222-1-2-2-12-122-1-12-200-1-1-111-2-2-211i3i3−i3−i31111-2-2-20-100i3−i320011-1-1i3i3−i3−i3i3i3−i3−i322-211-1-10000000-11−i3i3−i3i3000000000000
χ3322222-1-2-2-12-122-1-1-2200-1-1-1-1-1-22211−i3−i3i3i3-1-1-1-1-2220100i3−i3-2001111−i3−i3i3i3i3i3−i3−i32-2-2-1-1-1-1000000011−i3i3i3−i3000000000000
χ3422222-1-2-2-12-122-1-1-2200-1-1-1-1-1-22211−i3−i3i3i3-1-1-1-1-2-2-20100i3−i3-2001111−i3−i3i3i3i3i3−i3−i3-22211110000000-1-1i3−i3−i3i3000000000000
χ3522222-1-2-2-12-122-1-1-2200-1-1-1-1-1-22211i3i3−i3−i3-1-1-1-1-2220100−i3i3-2001111i3i3−i3−i3−i3−i3i3i32-2-2-1-1-1-1000000011i3−i3−i3i3000000000000
χ3622222-1-2-2-12-122-1-1-2200-1-1-1-1-1-22211i3i3−i3−i3-1-1-1-1-2-2-20100−i3i3-2001111i3i3−i3−i3−i3−i3i3i3-22211110000000-1-1−i3i3i3−i3000000000000
χ372222-12222-12-1-12-12222-1-1-122-1-1-1222222-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000002222002000000-1-1-1-10000-1-100
χ382222-12222-12-1-12-12222-1-1-122-1-1-1222222-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-2-2-2-200-2000000111100001100
χ392222-12222-12-1-12-122-2-2-1-1-122-1-1-122-2-2-2-2-1-1-1-1-100-2211-2-2-111-1-1-1-111111111000000022-2-2002000000-1-1-1-100001100
χ402222-12222-12-1-12-122-2-2-1-1-122-1-1-122-2-2-2-2-1-1-1-1-100-2211-2-2-111-1-1-1-1111111110000000-2-22200-200000011110000-1-100
χ412222-12222-12-1-12-1-2-222-1-1-1-2-2-1112222221111-100-2-2-1-1-2-2111-1-111-1-1-1-11111000000022-2200-2000000-1-1110000-1100
χ422222-12222-12-1-12-1-2-222-1-1-1-2-2-1112222221111-100-2-2-1-1-2-2111-1-111-1-1-1-111110000000-2-22-200200000011-1-100001-100
χ432222-12222-12-1-12-1-2-2-2-2-1-1-1-2-2-11122-2-2-2-21111-1002-211221-1-1-1-1111111-1-1-1-10000000222-200-2000000-1-11100001-100
χ442222-12222-12-1-12-1-2-2-2-2-1-1-1-2-2-11122-2-2-2-21111-1002-211221-1-1-1-1111111-1-1-1-10000000-2-2-2200200000011-1-10000-1100
χ452-2-22222-2-22-2-2-222002-2-22-2002002-22-22-20000-200002-2000002-2002-22-200000000000000000000000000002i−2i2i−2i0000
χ462-2-22222-2-22-2-2-222002-2-22-2002002-22-22-20000-200002-2000002-2002-22-20000000000000000000000000000−2i2i−2i2i0000
χ472-2-22222-2-22-2-2-22200-22-22-2002002-2-22-220000-20000-22000002-200-22-2200000000000000000000000000002i−2i−2i2i0000
χ482-2-22222-2-22-2-2-22200-22-22-2002002-2-22-220000-20000-22000002-200-22-220000000000000000000000000000−2i2i2i−2i0000
χ494444-24-4-44-24-2-24-24-400-2-2-2-4-4222-4-400002222200040000-20022-2-20000000000000000000000000000000000000000
χ504444-24-4-44-24-2-24-2-4400-2-2-2442-2-2-4-40000-2-2-2-22000-4000020022220000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-21111-2004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-222221111-200-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-44411122-222-2-2-2-2-2-2-1-1-1-1-200-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-411122-222-2-22222-1-1-1-1-2004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4001112222222−2i3−2i32i32i3-1-1-1-12000-200−2i32i3-200-1-111i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-40011122222222i32i3−2i3−2i3-1-1-1-12000-2002i3−2i3-200-1-111−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4400111-2-22-2-222−2i3−2i32i32i3111120002002i3−2i3200-1-1-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4400111-2-22-2-2222i32i3−2i3−2i311112000200−2i32i3200-1-1-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-4-44-44-440000-4-44000000000000000000000000000000000000000000000022−220000000000022−220000000000
χ6044-4-44400-4-44-44-440000-4-440000000000000000000000000000000000000000000000−222200000000000−22220000000000
χ6144-4-4-2400-4242-2-4-2000022-200023−230000002323−23−23000000000000000000000000000000022−2200000000000−226−600000000
χ6244-4-4-2400-4242-2-4-2000022-200023−230000002323−23−230000000000000000000000000000000−2222000000000002−2−6600000000
χ6344-4-4-2400-4242-2-4-2000022-2000−2323000000−23−232323000000000000000000000000000000022−2200000000000−22−6600000000
χ6444-4-4-2400-4242-2-4-2000022-2000−2323000000−23−2323230000000000000000000000000000000−2222000000000002−26−600000000
χ654-44-444004-4-44-4-4400004-4-400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ664-44-444004-4-44-4-4400004-4-40000000000000000-44000000000000000000000000-44000000000000000000000000000
χ674-44-44-200-2-424-42-20000-222−2i32i3000000000−2i32i3−2i32i304-4000000000000000000000000-22−2i32i30000000000000000000000000
χ684-44-44-200-2-424-42-20000-222−2i32i3000000000−2i32i3−2i32i30-440000000000000000000000002-22i3−2i30000000000000000000000000
χ694-44-44-200-2-424-42-20000-2222i3−2i30000000002i3−2i32i3−2i304-4000000000000000000000000-222i3−2i30000000000000000000000000
χ704-44-44-200-2-424-42-20000-2222i3−2i30000000002i3−2i32i3−2i30-440000000000000000000000002-2−2i32i30000000000000000000000000
χ714-4-4444-44-44-4-4-4440000-44-400-400-4400000000400000000000-44000000000000000000000000000000000000000000
χ724-4-444-24-4242-4-4-2-2004-42-2200400-22-22-220000-400004-400000-2200-22-22000000000000000000000000000000000000
χ734-4-444-24-4242-4-4-2-200-442-2200400-222-22-20000-40000-4400000-22002-22-2000000000000000000000000000000000000
χ744-4-444-2-44242-4-4-2-200002-2200-4002-2−2i32i32i3−2i300004000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000
χ754-4-444-2-44242-4-4-2-200002-2200-4002-22i3−2i3−2i32i300004000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000
χ764-4-44-244-4-4-2-4224-2004-42-2200-2004-44-44-4000020000-2200000-2200-22-22000000000000000000000000000000000000
χ774-4-44-244-4-4-2-4224-200-442-2200-2004-4-44-440000200002-200000-22002-22-2000000000000000000000000000000000000
χ784-4-44-24-44-4-2-4224-200002-2200200-4400000000-200000000023−232-200000023−2323−2300000000000000000000000000000000
χ794-4-44-24-44-4-2-4224-200002-2200200-4400000000-2000000000−23232-2000000−2323−232300000000000000000000000000000000
χ804-4-44-2-24-42-2222-21004-4-11-100-200-22-22-223i−3i−3i3i20000-22000001-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000
χ814-4-44-2-24-42-2222-21004-4-11-100-200-22-22-22−3i3i3i−3i20000-22000001-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000
χ824-4-44-2-24-42-2222-2100-44-11-100-200-222-22-23i−3i−3i3i200002-2000001-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000
χ834-4-44-2-24-42-2222-2100-44-11-100-200-222-22-2−3i3i3i−3i200002-2000001-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000
χ844-4-44-2-2-442-2222-210000-11-1002002-2−2i32i32i3−2i33i−3i−3i3i-200000000023−23-11−3i3ii3−i3−i3i3−33−3300000000000000000000000000000000
χ854-4-44-2-2-442-2222-210000-11-1002002-2−2i32i32i3−2i3−3i3i3i−3i-2000000000−2323-113i−3ii3−i3−i3i33−33−300000000000000000000000000000000
χ864-4-44-2-2-442-2222-210000-11-1002002-22i3−2i3−2i32i33i−3i−3i3i-2000000000−2323-11−3i3i−i3i3i3−i33−33−300000000000000000000000000000000
χ874-4-44-2-2-442-2222-210000-11-1002002-22i3−2i3−2i32i3−3i3i3i−3i-200000000023−23-113i−3i−i3i3i3−i3−33−3300000000000000000000000000000000
χ8888-8-88-4004-8-4-884-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-40044-44-4420000-2-2200043−43000000−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-40044-44-4420000-2-22000−43430000002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-88-8-480084-8-44-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400-444-444200002-2-2−4i34i30000000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-444-444200002-2-24i3−4i3000000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000

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