Finite Group Databasebeta

← Group #11889745

Character table — Group #11889745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666344446661212121212121212121212121212121222412121212121212121212121212121212121212122446666882444812121212121224242424228861248
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
χ511111111111111111-1-11111111111-1-1-1-11111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111111-1-1-1-11111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111111-1-1-1-111111-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11111111111-1-1-1-11-1
χ811111111111111111-1-11111111111-1-1-1-111111-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-111-1-1111-11-1-11-111-1-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-1-1-11111111-1-1-1-1111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-111-1-1-1-1-111-111-111-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-111111-1-11-1-11-1-11111-1-1-1-1-1-11-111
χ12111111111111111-1-111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-111-1-1-11-111-11-1-111-1-1111111-11-1-1
χ13111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-111-1-1-1-1-1-11111-11-111-1-111-11-11-11-1-1-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-111-1-1-1-1-1-11111-11-111-1-1-1-11-1-1111-1-1-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-11111-111-1-1-1-1-1-111111-11-1-11111-111-1-1-1111-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-11111-111-1-1-1-1-1-111111-11-1-111-1-11-11-11-1111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2002222222-2-2-200002222-2220-2000000-2-2-2-2-2000000002-2-222220000000-2-20000000000000000
χ18222222-2-222222222-2002222222-2-2-200002222-2-2-20-2000000-2-2-2-2-200000000-222-2-2-2-20000000220000000000000000
χ19222222-2-22222222-2200222-2-2-2-2-2-2-20000-2-2-2-2-222020000002-2-22200000000-2-2222-2-20000000-220000000000000000
χ20222222-2-22222222-2200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2020000002-2-2220000000022-2-2-22200000002-20000000000000000
χ2122222-1222-122-1-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10000220-1-1-1-1-1-1000000000000
χ2222222-1222-122-1-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211110000-2-20111111000000000000
χ2322222-1222-122-1-1-122-2-2-1-1-122-1-12-1-11111-1-1-1-1222-22-2-2-2-211-1-1-1-1-111111111222-1-1-1-10000-2-20-1-11111000000000000
χ2422222-1222-122-1-1-122-2-2-1-1-122-1-12-1-11111-1-1-1-12-2-2-22-2-2-2-211-1-1-1-1-111111111-2-2-21111000022011-1-1-1-1000000000000
χ2522222-1222-122-1-1-1-2-222-1-1-1-2-2112-1-1-1-1-1-11111222-2-222-2-2111-1-111-1-1-1-11111-22-2-1-11100002-20-11-1-111000000000000
χ2622222-1222-122-1-1-1-2-222-1-1-1-2-2112-1-1-1-1-1-111112-2-2-2-222-2-2111-1-111-1-1-1-111112-2211-1-10000-2201-111-1-1000000000000
χ2722222-1222-122-1-1-1-2-2-2-2-1-1-1-2-2112-1-1111111112222-2-2-222-1-11-1-1111111-1-1-1-1-22-2-1-1110000-220-1111-1-1000000000000
χ2822222-1222-122-1-1-1-2-2-2-2-1-1-1-2-2112-1-1111111112-2-22-2-2-222-1-11-1-1111111-1-1-1-12-2211-1-100002-201-1-1-111000000000000
χ2922222-1-2-22-122-1-1-12-200-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2220-20000−i3i311111−i3−i3i3i3−i3−i3i3i32-2-2-1-1-1-1000000011−i3i3−i3i3000000000000
χ3022222-1-2-22-122-1-1-12-200-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2-2-20-20000−i3i311111−i3−i3i3i3−i3−i3i3i3-22211110000000-1-1i3−i3i3−i3000000000000
χ3122222-1-2-22-122-1-1-12-200-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2220-20000i3−i311111i3i3−i3−i3i3i3−i3−i32-2-2-1-1-1-1000000011i3−i3i3−i3000000000000
χ3222222-1-2-22-122-1-1-12-200-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2-2-20-20000i3−i311111i3i3−i3−i3i3i3−i3−i3-22211110000000-1-1−i3i3−i3i3000000000000
χ3322222-1-2-22-122-1-1-1-2200-1-1-1-2-211-211−i3−i3i3i31111-222020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3-2-22-1-11100000001-1−i3i3i3−i3000000000000
χ3422222-1-2-22-122-1-1-1-2200-1-1-1-2-211-211−i3−i3i3i31111-2-2-2020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i322-211-1-10000000-11i3−i3−i3i3000000000000
χ3522222-1-2-22-122-1-1-1-2200-1-1-1-2-211-211i3i3−i3−i31111-222020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3-2-22-1-11100000001-1i3−i3−i3i3000000000000
χ3622222-1-2-22-122-1-1-1-2200-1-1-1-2-211-211i3i3−i3−i31111-2-2-2020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i322-211-1-10000000-11−i3i3i3−i3000000000000
χ372222-1222-12-1-122-12222-1-1-1-1-122-1222222-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000002222002000000-1-1-1-10000-1-100
χ382222-1222-12-1-122-12222-1-1-1-1-122-1222222-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000-2-2-2-200-2000000111100001100
χ392222-1222-12-1-122-122-2-2-1-1-1-1-122-122-2-2-2-2-1-1-1-1-100-2-11111-2-22-1-1-1-111111111000000022-2-2002000000-1-1-1-100001100
χ402222-1222-12-1-122-122-2-2-1-1-1-1-122-122-2-2-2-2-1-1-1-1-100-2-11111-2-22-1-1-1-1111111110000000-2-22200-200000011110000-1-100
χ412222-1222-12-1-122-1-2-222-1-1-111-2-2-12222221111-100-21-1-111-2-2-2-1-111-1-1-1-111110000000222-200-2000000-1-1110000-1100
χ422222-1222-12-1-122-1-2-222-1-1-111-2-2-12222221111-100-21-1-111-2-2-2-1-111-1-1-1-111110000000-2-2-2200200000011-1-100001-100
χ432222-1222-12-1-122-1-2-2-2-2-1-1-111-2-2-122-2-2-2-21111-1002111-1-122-2-1-1111111-1-1-1-1000000022-2200-2000000-1-11100001-100
χ442222-1222-12-1-122-1-2-2-2-2-1-1-111-2-2-122-2-2-2-21111-1002111-1-122-2-1-1111111-1-1-1-10000000-2-22-200200000011-1-10000-1100
χ452-22-2222-2-2-2-222-22002i−2i-22-2000022-22i−2i2i−2i0000-200002i−2i000002-2002i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-22-2222-2-2-2-222-22002i−2i-22-2000022-22i−2i2i−2i0000-200002i−2i000002-2002i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-22-2222-2-2-2-222-2200−2i2i-22-2000022-2−2i2i−2i2i0000-20000−2i2i000002-200−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-22-2222-2-2-2-222-2200−2i2i-22-2000022-2−2i2i−2i2i0000-20000−2i2i000002-200−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ494444-24-4-4-24-2-244-24-400-2-2-2-2-2442-4-40000-2-2-2-220002000000-422220000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-4400-2-2-222-4-42-4-4000022222000-2000000422-2-20000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-222221111-200-4-2222222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4441112222-2-2-2-2-2-2-2-1-1-1-1-200-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-2-22222-1-1-1-1-2004222-2-2-2-2211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-2222−2i3−2i32i32i31111200020000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-22222i32i3−2i3−2i311112000200002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44001112222222−2i3−2i32i32i3-1-1-1-12000-200002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-440011122222222i32i3−2i3−2i3-1-1-1-12000-20000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-4440044-4-4-4-4400004-4-400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ6044-4-4440044-4-4-4-4400004-4-40000000000000000-44000000000000000000000000-44000000000000000000000000000
χ6144-4-44-2004-2-4-422-20000-22200−2i32i30000000−2i3−2i32i32i304-4000000000000000000000000-22−2i32i30000000000000000000000000
χ6244-4-44-2004-2-4-422-20000-22200−2i32i30000000−2i3−2i32i32i30-440000000000000000000000002-22i3−2i30000000000000000000000000
χ6344-4-44-2004-2-4-422-20000-222002i3−2i300000002i32i3−2i3−2i304-4000000000000000000000000-222i3−2i30000000000000000000000000
χ6444-4-44-2004-2-4-422-20000-222002i3−2i300000002i32i3−2i3−2i30-440000000000000000000000002-2−2i32i30000000000000000000000000
χ654-44-444-44-4-4-444-440000-44-40000-4-4400000000400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-4-42-44-22-2004i−4i2-2200004-22−2i2i−2i2i0000-400004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000
χ674-44-44-24-4-42-44-22-200−4i4i2-2200004-222i−2i2i−2i0000-40000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000
χ684-44-44-2-44-42-44-22-200002-220000-42-223−23−232300004000000000002-20023−23−2323000000000000000000000000000000000000
χ694-44-44-2-44-42-44-22-200002-220000-42-2−232323−2300004000000000002-200−232323−23000000000000000000000000000000000000
χ704-44-4-244-42-42-24-4-2004i−4i2-220000-24-44i−4i4i−4i000020000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000
χ714-44-4-244-42-42-24-4-200−4i4i2-220000-24-4−4i4i−4i4i0000200002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000
χ724-44-4-24-442-42-24-4-200002-2200002-4400000000-2000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000
χ734-44-4-24-442-42-24-4-200002-2200002-4400000000-20000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000
χ744-44-4-2-24-4222-2-221004i−4i-11-10000-2-22−2i2i−2i2i3i−3i3i−3i20000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000
χ754-44-4-2-24-4222-2-221004i−4i-11-10000-2-22−2i2i−2i2i−3i3i−3i3i20000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000
χ764-44-4-2-24-4222-2-22100−4i4i-11-10000-2-222i−2i2i−2i3i−3i3i−3i200002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000
χ774-44-4-2-24-4222-2-22100−4i4i-11-10000-2-222i−2i2i−2i−3i3i−3i3i200002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000
χ784-44-4-2-2-44222-2-2210000-11-1000022-223−23−23233i−3i3i−3i-20000002i3−2i3000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000
χ794-44-4-2-2-44222-2-2210000-11-1000022-223−23−2323−3i3i−3i3i-2000000−2i32i3000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000
χ804-44-4-2-2-44222-2-2210000-11-1000022-2−232323−233i−3i3i−3i-2000000−2i32i3000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000
χ814-44-4-2-2-44222-2-2210000-11-1000022-2−232323−23−3i3i−3i3i-20000002i3−2i3000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000
χ824-4-444400-4-44-4-4440000-4-44000000000000000000000000000000000000000000000022−220000000000022−220000000000
χ834-4-444400-4-44-4-4440000-4-440000000000000000000000000000000000000000000000−222200000000000−22220000000000
χ844-4-44-24002-4-22-44-2000022-223−2300000000023−23−2323000000000000000000000000000000022−2200000000000−226−600000000
χ854-4-44-24002-4-22-44-2000022-223−2300000000023−23−23230000000000000000000000000000000−2222000000000002−2−6600000000
χ864-4-44-24002-4-22-44-2000022-2−2323000000000−232323−23000000000000000000000000000000022−2200000000000−22−6600000000
χ874-4-44-24002-4-22-44-2000022-2−2323000000000−232323−230000000000000000000000000000000−2222000000000002−26−600000000
χ8888-8-8-4800-4844-8-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444200002-2-200−4i34i300000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444200002-2-2004i3−4i30000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-848-84-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-444-420000-2-2243−43000000000−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-444-420000-2-22−434300000000023−23−232300000000000000000000000000000000000000000000000000000000

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