Finite Group Databasebeta

← Group #11889129

Character table — Group #11889129

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666344446661212121212121212121212121212121222412121212121212121212121212121212121212122446688121222446812121212122424242422886648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-111-1-1-11-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-11111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111111-1-1-1-11111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11-1-1-11-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111111-1-1-1-111111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-111111111-1-1-1-11-1
χ811111111111111111-1-11111111111-1-1-1-111111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-11-1-1111111-1-1-1-1111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-11111-1-11-1-11-1-1-1-111111-1-111111-1-1-1
χ10111111111111111-1-111111-1-11-1-1111111-1-1-1-1111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-111-1-1-1-1-11-11-11-1-1111-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-11-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-111111-11-11-111-1-1-111-1-1-1-1-1-11-111
χ12111111111111111-1-111111-1-11-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-111-111-11111-1-1-1-1-1111111-11-1-1
χ13111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-11111-1-1-111-1-1-1111-1-111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-111-1-1-1-11-11-1-11111-1-1-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-11-1-11111-11-111-1-1-1-11111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-11-1-1-1-1111-1-1111-1-1-111-1-111-1-1111-11-1
χ17222222-2-222222222-20022222-222-2-200002222-2220-20000-200-2-2-2-200000000-2-222200220000-2000-200000000000000
χ18222222-2-222222222-20022222-222-2-200002222-2-2-20-20000-200-2-2-2-20000000022-2-2-200-2-200002000200000000000000
χ19222222-2-22222222-2200222-2-2-2-2-2-2-20000-2-2-2-2-222020000200-2-222000000002-2-22200-2-200002000-200000000000000
χ20222222-2-22222222-2200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2020000200-2-22200000000-222-2-200220000-2000200000000000000
χ2122222-122-1-1-1222-12222-1-1-1-1-1-122222222-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000220022000200000-1-1-1-10000-1-100
χ2222222-122-1-1-1222-12222-1-1-1-1-1-122222222-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000-2-200-2-2000-200000111100001100
χ2322222-122-1-1-1222-122-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-100-2-111112-2-2-1-1-1-111111111000002200-2-2000200000-1-1-1-100001100
χ2422222-122-1-1-1222-122-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-100-2-111112-2-2-1-1-1-11111111100000-2-20022000-20000011110000-1-100
χ2522222-122-1-1-1222-1-2-222-1-1-111-1-2-22222221111-100-21-1-111-2-2-2-1-111-1-1-1-111110000022002-2000-200000-1-1110000-1100
χ2622222-122-1-1-1222-1-2-222-1-1-111-1-2-22222221111-100-21-1-111-2-2-2-1-111-1-1-1-1111100000-2-200-2200020000011-1-100001-100
χ2722222-122-1-1-1222-1-2-2-2-2-1-1-111-1-2-222-2-2-2-21111-1002111-1-1-222-1-1111111-1-1-1-1000002200-22000-200000-1-11100001-100
χ2822222-122-1-1-1222-1-2-2-2-2-1-1-111-1-2-222-2-2-2-21111-1002111-1-1-222-1-1111111-1-1-1-100000-2-2002-200020000011-1-10000-1100
χ292222-1222222-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100-1-10022-10-1-1-1-1-1000000000000
χ302222-1222222-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211001100-2-21011111000000000000
χ312222-1222222-1-1-1-122-2-2-1-1-1222-1-1-1-11111-1-1-1-1222-22-2-2-2-2-111-1-1-1-111111111222-1-100-1-100-2-2-1011-111000000000000
χ322222-1222222-1-1-1-122-2-2-1-1-1222-1-1-1-11111-1-1-1-12-2-2-22-2-2-2-2-111-1-1-1-111111111-2-2-2110011002210-1-11-1-1000000000000
χ332222-1222222-1-1-1-1-2-222-1-1-1-2-2211-1-1-1-1-1-11111222-2-222-2-2111-1-111-1-1-1-11111-22-2-1-1001100-221011-1-1-1000000000000
χ342222-1222222-1-1-1-1-2-222-1-1-1-2-2211-1-1-1-1-1-111112-2-2-2-222-2-2111-1-111-1-1-1-111112-221100-1-1002-2-10-1-1111000000000000
χ352222-1222222-1-1-1-1-2-2-2-2-1-1-1-2-2211-1-1111111112222-2-2-2221-1-1-1-1111111-1-1-1-1-22-2-1-10011002-210-1-1-111000000000000
χ362222-1222222-1-1-1-1-2-2-2-2-1-1-1-2-2211-1-1111111112-2-22-2-2-2221-1-1-1-1111111-1-1-1-12-221100-1-100-22-10111-1-1000000000000
χ372222-12-2-2222-1-1-1-12-200-1-1-122-2-1-111−i3−i3i3i3-1-1-1-1-2220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-22-1-100-1-1000010−i3i31−i3i3000000000000
χ382222-12-2-2222-1-1-1-12-200-1-1-122-2-1-111−i3−i3i3i3-1-1-1-1-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i322-21100110000-10i3−i3-1i3−i3000000000000
χ392222-12-2-2222-1-1-1-12-200-1-1-122-2-1-111i3i3−i3−i3-1-1-1-1-2220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22-1-100-1-1000010i3−i31i3−i3000000000000
χ402222-12-2-2222-1-1-1-12-200-1-1-122-2-1-111i3i3−i3−i3-1-1-1-1-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i322-21100110000-10−i3i3-1−i3i3000000000000
χ412222-12-2-2222-1-1-1-1-2200-1-1-1-2-2-21111−i3−i3i3i31111-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-2-1-100110000-10i3−i31−i3i3000000000000
χ422222-12-2-2222-1-1-1-1-2200-1-1-1-2-2-21111−i3−i3i3i31111-2-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2221100-1-1000010−i3i3-1i3−i3000000000000
χ432222-12-2-2222-1-1-1-1-2200-1-1-1-2-2-21111i3i3−i3−i31111-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-2-1-100110000-10−i3i31i3−i3000000000000
χ442222-12-2-2222-1-1-1-1-2200-1-1-1-2-2-21111i3i3−i3−i31111-2-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2221100-1-1000010i3−i3-1−i3i3000000000000
χ452-22-2222-2-22-2-22-22002i−2i-22-2002002-22i−2i2i−2i0000-200002i−2i000002-2002i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-22-2222-2-22-2-22-22002i−2i-22-2002002-22i−2i2i−2i0000-200002i−2i000002-2002i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-22-2222-2-22-2-22-2200−2i2i-22-2002002-2−2i2i−2i2i0000-20000−2i2i000002-200−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-22-2222-2-22-2-22-2200−2i2i-22-2002002-2−2i2i−2i2i0000-20000−2i2i000002-200−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ4944444-2-4-4-2-2-2444-24-400-2-2-2-2-2244-4-40000-2-2-2-2200020000-40022220000000000000000000000000000000000000000
χ5044444-2-4-4-2-2-2444-2-4400-2-2-2222-4-4-4-4000022222000-2000040022-2-20000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-222221111-200-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
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
χ554444-2-2-4-4-2-2-2-2-2-214-400111-2-22-2-222−2i3−2i32i32i311112000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-400111-2-22-2-2222i32i3−2i3−2i3111120002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44001112222222−2i3−2i32i32i3-1-1-1-12000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-440011122222222i32i3−2i3−2i3-1-1-1-12000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-4-44-4-4400004-4-400000000000000000000000000000000000000000000−2i22i20000000000000−2i22i20000000000
χ6044-4-444004-4-44-4-4400004-4-4000000000000000000000000000000000000000000002i2−2i200000000000002i2−2i20000000000
χ6144-4-44-200-2224-4-4-20000-222−2i32i3000000000−2i3−2i32i32i300000000000000000000000000000−2i22i20000000000000i2−i26−600000000
χ6244-4-44-200-2224-4-4-20000-222−2i32i3000000000−2i3−2i32i32i3000000000000000000000000000002i2−2i20000000000000−i2i2−6600000000
χ6344-4-44-200-2224-4-4-20000-2222i3−2i30000000002i32i3−2i3−2i300000000000000000000000000000−2i22i20000000000000i2−i2−6600000000
χ6444-4-44-200-2224-4-4-20000-2222i3−2i30000000002i32i3−2i3−2i3000000000000000000000000000002i2−2i20000000000000−i2i26−600000000
χ654-44-444-44-44-4-44-440000-44-400-400-4400000000400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-42-22-44-4-2004i−4i2-2200-2004-44i−4i4i−4i000020000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000
χ674-44-44-24-42-22-44-4-200−4i4i2-2200-2004-4−4i4i−4i4i0000200002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000
χ684-44-44-2-442-22-44-4-200002-2200200-4400000000-2000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000
χ694-44-44-2-442-22-44-4-200002-2200200-4400000000-20000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000
χ704-44-4-244-4-44-42-22-2004i−4i2-2200400-22−2i2i−2i2i0000-400004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000
χ714-44-4-244-4-44-42-22-200−4i4i2-2200400-222i−2i2i−2i0000-40000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000
χ724-44-4-24-44-44-42-22-200002-2200-4002-223−23−232300004000000000002-20023−23−2323000000000000000000000000000000000000
χ734-44-4-24-44-44-42-22-200002-2200-4002-2−232323−2300004000000000002-200−232323−23000000000000000000000000000000000000
χ744-44-4-2-24-42-222-221004i−4i-11-100-200-22−2i2i−2i2i3i−3i3i−3i20000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000
χ754-44-4-2-24-42-222-221004i−4i-11-100-200-22−2i2i−2i2i−3i3i−3i3i20000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000
χ764-44-4-2-24-42-222-22100−4i4i-11-100-200-222i−2i2i−2i3i−3i3i−3i200002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000
χ774-44-4-2-24-42-222-22100−4i4i-11-100-200-222i−2i2i−2i−3i3i−3i3i200002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000
χ784-44-4-2-2-442-222-2210000-11-1002002-223−23−23233i−3i3i−3i-20000002i3−2i3000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000
χ794-44-4-2-2-442-222-2210000-11-1002002-223−23−2323−3i3i−3i3i-2000000−2i32i3000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000
χ804-44-4-2-2-442-222-2210000-11-1002002-2−232323−233i−3i3i−3i-2000000−2i32i3000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000
χ814-44-4-2-2-442-222-2210000-11-1002002-2−232323−23−3i3i−3i3i-20000002i3−2i3000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000
χ824-4-444400-4-44-4-4440000-4-4400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ834-4-444400-4-44-4-4440000-4-440000000000000000-44000000000000000000000000-44000000000000000000000000000
χ844-4-44-2400-4-4422-2-2000022-200023−2300000023−23−232304-4000000000000000000000000-220023−2300000000000000000000000
χ854-4-44-2400-4-4422-2-2000022-200023−2300000023−23−23230-440000000000000000000000002-200−232300000000000000000000000
χ864-4-44-2400-4-4422-2-2000022-2000−2323000000−232323−2304-4000000000000000000000000-2200−232300000000000000000000000
χ874-4-44-2400-4-4422-2-2000022-2000−2323000000−232323−230-440000000000000000000000002-20023−2300000000000000000000000
χ8888-8-8-48008-8-8-444-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-444200002-2-2−4i34i30000000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-444-444200002-2-24i3−4i3000000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-40044-4-8-88-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-444-420000-2-2200043−43000000−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-444-420000-2-22000−434300000023−23−232300000000000000000000000000000000000000000000000000000000

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