Finite Group Databasebeta

← Group #11895856

Character table — Group #11895856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666223446666666121212121212121212121212444666666121212121212121212121212121244488121212122444812121212121224242424448861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-1111111111-1-11-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-11-11-1-11-111-1-111-1-111111-1-1-1
χ611111111111111111-1-1111111111-1-11-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-111-1-1-111-111-111-1-1-1-111-1-1-1-1-1111
χ711111111111111111-1-1111111111-1-11-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1111-1-11-1-11-1-11111-1-1-1-1-1-11-111
χ811111111111111111-1-1111111111-1-11-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-11-111-11-1-111-1-1111111-11-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111-1-1111111-1-1-111-1-1-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ1311111111111111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-111111-1-11111-1-1-11-11-11-1-1-11111-1-1-1-111-111-1
χ1411111111111111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-111111-1-1-1-111-1-11-1-1111-1-1-111-1-11111-1-11-1-11
χ1511111111111111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-111-11111-1-11111-11111-1-111-111-1-1-1111-1-111-1-111-1-1-11-11
χ1611111111111111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-111-11111-1-11111-111-1-1-1-1111-11-11-1111-1-1-1-111-1-1111-11-1
χ17222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2220000000200200-2-2220000-22-20022-2-200000-220000000000000000
χ18222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000200200-2-22200002-2200-2-222000002-20000000000000000
χ19222222-2-2222222002-220000222-2-222-2222222-2220000000-200-200-2-2-2-20000-2-2200222200000-2-20000000000000000
χ20222222-2-2222222002-220000222-2-222-2222222-2-2-20000000-200-200-2-2-2-2000022-200-2-2-2-200000220000000000000000
χ2122222-1222-1-12-1222-1222222-1-1-122-1-1-122-1-1-1-1-1002-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100022000022002000000-1-1-1-10000-1-100
χ2222222-1222-1-12-1222-1222222-1-1-122-1-1-122-1-1-1-1-1002-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1000-2-20000-2-200-2000000111100001100
χ2322222-1222-1-12-1222-1-2-22222-1-1-12211-1-2-21111-100-2-1-1-1-1-1-1111-2-2-2-1-11111110002200002-200-2000000-1-1110000-1100
χ2422222-1222-1-12-1222-1-2-22222-1-1-12211-1-2-21111-100-2-1-1-1-1-1-1111-2-2-2-1-1111111000-2-20000-2200200000011-1-100001-100
χ2522222-1222-1-12-12-2-2-122-2-2-2-2-1-1-122-1-1-122-1-1-1-1-100-2111111-1112-2-2-1-1-1-11111000220000-2-2002000000-1-1-1-100001100
χ2622222-1222-1-12-12-2-2-122-2-2-2-2-1-1-122-1-1-122-1-1-1-1-100-2111111-1112-2-2-1-1-1-11111000-2-200002200-200000011110000-1-100
χ2722222-1222-1-12-12-2-2-1-2-2-2-2-2-2-1-1-12211-1-2-21111-10021111111-1-1-222-1-111-1-1-1-1000220000-2200-2000000-1-11100001-100
χ2822222-1222-1-12-12-2-2-1-2-2-2-2-2-2-1-1-12211-1-2-21111-10021111111-1-1-222-1-111-1-1-1-1000-2-200002-200200000011-1-10000-1100
χ292222-1222-122-12-122-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-100220-1-1-1-1-1-1000000000000
χ302222-1222-122-12-122-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-2-2222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-200111100-2-20111111000000000000
χ312222-1222-122-12-122-1-2-2-1-1-1-1-1-1-1-1-1-2-22111111222-222-1-1-1-1-2-2-2111-1-11111112-2-200-1-111002-20-11-1-111000000000000
χ322222-1222-122-12-122-1-2-2-1-1-1-1-1-1-1-1-1-2-221111112-2-2-222-1-1-1-1-2-2-2111-1-1111111-2220011-1-100-2201-111-1-1000000000000
χ332222-1222-122-12-1-2-2-1221111-1-1-1-1-1222-1-1-1-1-1-1222-2-2-211112-2-2-111-1-1-1-1111122200-1-1-1-100-2-20-1-11111000000000000
χ342222-1222-122-12-1-2-2-1221111-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-211112-2-2-111-1-1-1-11111-2-2-20011110022011-1-1-1-1000000000000
χ352222-1222-122-12-1-2-2-1-2-21111-1-1-1-1-1-2-221111112222-2-21111-2221-1-1-1-111-1-1-1-12-2-200-1-11100-220-1111-1-1000000000000
χ362222-1222-122-12-1-2-2-1-2-21111-1-1-1-1-1-2-221111112-2-22-2-21111-2221-1-1-1-111-1-1-1-1-2220011-1-1002-201-1-1-111000000000000
χ372222-12-2-2-122-12-100-12-2−i3−i3i3i3-1-1-111-2-2-2111111-222000−i3−i3i3i3200-1−i3i311-1-1−i3−i3i3i3-22-200-1-111000001-1−i3i3−i3i3000000000000
χ382222-12-2-2-122-12-100-12-2−i3−i3i3i3-1-1-111-2-2-2111111-2-2-2000−i3−i3i3i3200-1−i3i311-1-1−i3−i3i3i32-220011-1-100000-11i3−i3i3−i3000000000000
χ392222-12-2-2-122-12-100-12-2i3i3−i3−i3-1-1-111-2-2-2111111-222000i3i3−i3−i3200-1i3−i311-1-1i3i3−i3−i3-22-200-1-111000001-1i3−i3i3−i3000000000000
χ402222-12-2-2-122-12-100-12-2i3i3−i3−i3-1-1-111-2-2-2111111-2-2-2000i3i3−i3−i3200-1i3−i311-1-1i3i3−i3−i32-220011-1-100000-11−i3i3−i3i3000000000000
χ412222-12-2-2-122-12-100-1-22−i3−i3i3i3-1-1-11122-2-1-1-1-1-1-1-222000−i3−i3i3i3-2001i3−i31111i3i3−i3−i3-2-2200-1-1-1-10000011−i3i3i3−i3000000000000
χ422222-12-2-2-122-12-100-1-22−i3−i3i3i3-1-1-11122-2-1-1-1-1-1-1-2-2-2000−i3−i3i3i3-2001i3−i31111i3i3−i3−i322-200111100000-1-1i3−i3−i3i3000000000000
χ432222-12-2-2-122-12-100-1-22i3i3−i3−i3-1-1-11122-2-1-1-1-1-1-1-222000i3i3−i3−i3-2001−i3i31111−i3−i3i3i3-2-2200-1-1-1-10000011i3−i3−i3i3000000000000
χ442222-12-2-2-122-12-100-1-22i3i3−i3−i3-1-1-11122-2-1-1-1-1-1-1-2-2-2000i3i3−i3−i3-2001−i3i31111−i3−i3i3i322-200111100000-1-1−i3i3i3−i3000000000000
χ452-22-222-222-2-2-22-22-22002-22-22-2-22-200-200000020002-22-22-20000002-20000000000000000000000000000002i−2i2i−2i0000
χ462-22-222-222-2-2-22-22-22002-22-22-2-22-200-200000020002-22-22-20000002-2000000000000000000000000000000−2i2i−2i2i0000
χ472-22-222-222-2-2-22-2-22200-22-222-2-22-200-20000002000-22-22-220000002-20000000000000000000000000000002i−2i−2i2i0000
χ482-22-222-222-2-2-22-2-22200-22-222-2-22-200-20000002000-22-22-220000002-2000000000000000000000000000000−2i2i2i−2i0000
χ4944444-2-4-44-2-24-2400-24-40000-2-2-2-4-4222-4-422222000000000-20040022-2-2000000000000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-440000-2-2-2-4-4-2-2244-2-2-2-22000000000200-4002222000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-21111-2004-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111-2-222-222-1-1-1-1-200-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-21111-200-422-1-1-1-1-222-2221111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-41-4-42222111-2-222-222-1-1-1-1-200422-1-1-1-12-2-22-2-211-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i31112222222-1-1-1-1200000i3i3−i3−i3-200-2−2i32i3-1-111i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i31112222222-1-1-1-1200000−i3−i3i3i3-200-22i3−2i3-1-111−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i311122-2-22-2-21111200000i3i3−i3−i320022i3−2i3-1-1-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i311122-2-22-2-21111200000−i3−i3i3i32002−2i32i3-1-1-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-44-44-4-4004000000-44-40000000000000000000000000000000000000022−2200000000000000022−220000000000
χ6044-4-44400-44-44-4-4004000000-44-400000000000000000000000000000000000000−2222000000000000000−22220000000000
χ6144-4-44-200-4-2242-400-20000002-220023−230002323−23−2300000000000000000000000000022−22000000000000000−226−600000000
χ6244-4-44-200-4-2242-400-20000002-220023−230002323−23−23000000000000000000000000000−22220000000000000002−2−6600000000
χ6344-4-44-200-4-2242-400-20000002-2200−2323000−23−23232300000000000000000000000000022−22000000000000000−22−6600000000
χ6444-4-44-200-4-2242-400-20000002-2200−2323000−23−232323000000000000000000000000000−22220000000000000002−26−600000000
χ654-44-4444-44-4-4-44-40040000004-4-4-44004000000-4000000000000000-4400000000000000000000000000000000000000
χ664-44-44-24-4422-4-2-400-2000000-222-4400-20000002000000000023−230002-20023−2323−2300000000000000000000000000000000
χ674-44-44-24-4422-4-2-400-2000000-222-4400-200000020000000000−23230002-200−2323−232300000000000000000000000000000000
χ684-44-44-2-44422-4-2-44-4-2004-44-4-2224-4002000000-2000-22-22-22000000-2200000000000000000000000000000000000000
χ694-44-44-2-44422-4-2-4-44-200-44-44-2224-4002000000-20002-22-22-2000000-2200000000000000000000000000000000000000
χ704-44-4-244-4-2-4-424200-200−2i32i32i3−2i3-2222-2004000000-400000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ714-44-4-244-4-2-4-424200-2002i3−2i3−2i32i3-2222-2004000000-4000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ724-44-4-24-44-2-4-42424-4-200-22-22-222-2200-400000040004-4-22-22000000-2200000000000000000000000000000000000000
χ734-44-4-24-44-2-4-4242-44-2002-22-2-222-2200-40000004000-442-22-2000000-2200000000000000000000000000000000000000
χ744-44-4-2-24-4-2222-2200100−2i32i32i3−2i31-1-12-200-2003i−3i3i−3i200000i3−i3−i3i3023−23000-113i−3i−33−3300000000000000000000000000000000
χ754-44-4-2-24-4-2222-2200100−2i32i32i3−2i31-1-12-200-200−3i3i−3i3i200000i3−i3−i3i30−2323000-11−3i3i3−33−300000000000000000000000000000000
χ764-44-4-2-24-4-2222-22001002i3−2i3−2i32i31-1-12-200-2003i−3i3i−3i200000−i3i3i3−i30−2323000-113i−3i3−33−300000000000000000000000000000000
χ774-44-4-2-24-4-2222-22001002i3−2i3−2i32i31-1-12-200-200−3i3i−3i3i200000−i3i3i3−i3023−23000-11−3i3i−33−3300000000000000000000000000000000
χ784-44-4-2-2-44-2222-224-4100-22-221-1-1-22002003i−3i3i−3i-2000-221-11-10000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000
χ794-44-4-2-2-44-2222-224-4100-22-221-1-1-2200200−3i3i−3i3i-2000-221-11-10000001-13i−3i−3i3i3i−3i00000000000000000000000000000000
χ804-44-4-2-2-44-2222-22-441002-22-21-1-1-22002003i−3i3i−3i-20002-2-11-110000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ814-44-4-2-2-44-2222-22-441002-22-21-1-1-2200200−3i3i−3i3i-20002-2-11-110000001-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ824-4-444400-4-44-4-44004000000-4-440000000000004-4000000000000000000000000004-40000000000000000000000000
χ834-4-444400-4-44-4-44004000000-4-44000000000000-4400000000000000000000000000-440000000000000000000000000
χ844-4-44-24002-442-4-200-200000022-200000−2i32i3−2i32i32i3−2i304-400000000000000000000000000-22−2i32i300000000000000000000000
χ854-4-44-24002-442-4-200-200000022-200000−2i32i3−2i32i32i3−2i30-44000000000000000000000000002-22i3−2i300000000000000000000000
χ864-4-44-24002-442-4-200-200000022-2000002i3−2i32i3−2i3−2i32i304-400000000000000000000000000-222i3−2i300000000000000000000000
χ874-4-44-24002-442-4-200-200000022-2000002i3−2i32i3−2i3−2i32i30-44000000000000000000000000002-2−2i32i300000000000000000000000
χ8888-8-8-480048-8-4-8400-40000004-440000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-44-444002000000-22-20043−43000−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4004-44-444002000000-22-200−43430002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-84-4-84800-400000044-40000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-444-4002000000-2-2200000−4i34i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-444-4002000000-2-22000004i3−4i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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