Finite Group Databasebeta

← Group #11896058

Character table — Group #11896058

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666663444466612121212121212121212121212121212444121212121212121212121212121212121212121244488121212122444812121212121224242424448861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-11111111-1-1-1-11111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111-1-1-1-11111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111-1-111111-1-11-111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111-1-1-1-111111111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-11111111111-1-1-1-11-1
χ811111111111111111-1-11111111-1-1-1-111111111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-1111111-1-11-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-1-1-11-1-11111-1-111-1-1-11-111-1-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-1111111-1-11-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-1-1-11-1-1-1-111-1-1-11-1111-111-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-1111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-11111-1-1111-11-1-1-11-1-11111-1-1-1-1-1-11-111
χ12111111111111111-1-111111-1-1111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-1111-11-1-111-1-1111111-11-1-1
χ13111111111111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-11111-111-1-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-111-11-1-1-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-11111-111-1-1-11111-1-1-1-1-1-111111-1-1-1-111-1-11-11-111-1-1-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-11-1-11-111-1-1-11111-1-1-1-1-1-11111-11111-1-111-11-11-1-1111-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-11-1-11-111-1-1-11111-1-1-1-1-1-11111-111-1-1-1-11111-1-11-1111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-200222-2-2-2-20000-2-2-2-2-2-2-2-222020000200-2-22200000000-22-20022-2-200000-220000000000000000
χ18222222-2-222222222-200222-2-2-2-20000-2-2-2-2-2-2-2-2-2-2020000200-2-222000000002-2200-2-222000002-20000000000000000
χ19222222-2-22222222-220022222-2-2000022-22222-2220-20000-200-2-2-2-200000000-2-2200222200000-2-20000000000000000
χ20222222-2-22222222-220022222-2-2000022-22222-2-2-20-20000-200-2-2-2-20000000022-200-2-2-2-200000220000000000000000
χ2122222-122-12-12-12-12222-1-1-1-1-122222222-1-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100022000020022000000-1-1-1-10000-1-100
χ2222222-122-12-12-12-12222-1-1-1-1-122222222-1-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000-200-2-2000000111100001100
χ2322222-122-12-12-12-122-2-2-1-1-1-1-122-2-2-2-222-1-1-1-1-1-100-2-111112-2-2-1-1-1-111111111000220000-200-22000000-1-1-1-100001100
χ2422222-122-12-12-12-122-2-2-1-1-1-1-122-2-2-2-222-1-1-1-1-1-100-2-111112-2-2-1-1-1-111111111000-2-200002002-200000011110000-1-100
χ2522222-122-12-12-12-1-2-222-1-1-111222222-2-2-11111-100-2111-1-1-2-2-2-1-111-1-1-1-11111000220000200-2-2000000-1-1110000-1100
χ2622222-122-12-12-12-1-2-222-1-1-111222222-2-2-11111-100-2111-1-1-2-2-2-1-111-1-1-1-11111000-2-20000-2002200000011-1-100001-100
χ2722222-122-12-12-12-1-2-2-2-2-1-1-11122-2-2-2-2-2-2-11111-10021-1-111-222-1-1111111-1-1-1-1000220000-2002-2000000-1-11100001-100
χ2822222-122-12-12-12-1-2-2-2-2-1-1-11122-2-2-2-2-2-2-11111-10021-1-111-222-1-1111111-1-1-1-1000-2-20000200-2200000011-1-10000-1100
χ292222-12222-12-12-1-12222-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-102200-1-1-1-1-1-1000000000000
χ302222-12222-12-12-1-12222-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011110-2-200111111000000000000
χ312222-12222-12-12-1-122-2-2-1-1-122-1-11111-1-12-1-1-1-1222-22-2-2-2-2-111-1-1-1-11111111122200-1-1-1-10-2-200-1-11111000000000000
χ322222-12222-12-12-1-122-2-2-1-1-122-1-11111-1-12-1-1-1-12-2-2-22-2-2-2-2-111-1-1-1-111111111-2-2-20011110220011-1-1-1-1000000000000
χ332222-12222-12-12-1-1-2-222-1-1-1-2-2-1-1-1-1-1-11121111222-2-2-2-222111-1-111-1-1-1-111112-2-200-1-11102-200-11-1-111000000000000
χ342222-12222-12-12-1-1-2-222-1-1-1-2-2-1-1-1-1-1-111211112-2-2-2-2-2-222111-1-111-1-1-1-11111-2220011-1-10-22001-111-1-1000000000000
χ352222-12222-12-12-1-1-2-2-2-2-1-1-1-2-2-1-1111111211112222-222-2-21-1-1-1-1111111-1-1-1-12-2-200-1-1110-2200-1111-1-1000000000000
χ362222-12222-12-12-1-1-2-2-2-2-1-1-1-2-2-1-1111111211112-2-22-222-2-21-1-1-1-1111111-1-1-1-1-2220011-1-102-2001-1-1-111000000000000
χ372222-12-2-22-12-12-1-12-200-1-1-1-2-211−i3−i3i3i311-21111-222020000-1−i3i311-1-1−i3−i3i3i3−i3−i3i3i3-22-200-1-111000001-1−i3i3−i3i3000000000000
χ382222-12-2-22-12-12-1-12-200-1-1-1-2-211−i3−i3i3i311-21111-2-2-2020000-1−i3i311-1-1−i3−i3i3i3−i3−i3i3i32-220011-1-100000-11i3−i3i3−i3000000000000
χ392222-12-2-22-12-12-1-12-200-1-1-1-2-211i3i3−i3−i311-21111-222020000-1i3−i311-1-1i3i3−i3−i3i3i3−i3−i3-22-200-1-111000001-1i3−i3i3−i3000000000000
χ402222-12-2-22-12-12-1-12-200-1-1-1-2-211i3i3−i3−i311-21111-2-2-2020000-1i3−i311-1-1i3i3−i3−i3i3i3−i3−i32-220011-1-100000-11−i3i3−i3i3000000000000
χ412222-12-2-22-12-12-1-1-2200-1-1-12211−i3−i3i3i3-1-1-2-1-1-1-1-2220-200001i3−i31111−i3−i3i3i3i3i3−i3−i3-2-2200-1-1-1-10000011−i3i3i3−i3000000000000
χ422222-12-2-22-12-12-1-1-2200-1-1-12211−i3−i3i3i3-1-1-2-1-1-1-1-2-2-20-200001i3−i31111−i3−i3i3i3i3i3−i3−i322-200111100000-1-1i3−i3−i3i3000000000000
χ432222-12-2-22-12-12-1-1-2200-1-1-12211i3i3−i3−i3-1-1-2-1-1-1-1-2220-200001−i3i31111i3i3−i3−i3−i3−i3i3i3-2-2200-1-1-1-10000011i3−i3−i3i3000000000000
χ442222-12-2-22-12-12-1-1-2200-1-1-12211i3i3−i3−i3-1-1-2-1-1-1-1-2-2-20-200001−i3i31111i3i3−i3−i3−i3−i3i3i322-200111100000-1-1−i3i3i3−i3000000000000
χ452-2-2222-22-22-2-22-22002-2-22-2002-22-22-200-2000020000002-20002-2002-22-200000000000000000000000000002i−2i2i−2i0000
χ462-2-2222-22-22-2-22-22002-2-22-2002-22-22-200-2000020000002-20002-2002-22-20000000000000000000000000000−2i2i−2i2i0000
χ472-2-2222-22-22-2-22-2200-22-22-2002-2-22-2200-200002000000-220002-200-22-2200000000000000000000000000002i−2i−2i2i0000
χ482-2-2222-22-22-2-22-2200-22-22-2002-2-22-2200-200002000000-220002-200-22-220000000000000000000000000000−2i2i2i−2i0000
χ4944444-2-4-4-24-24-24-24-400-2-2-222-4-40000-4-4222222000-2000040022-2-20000000000000000000000000000000000000000
χ5044444-2-4-4-24-24-24-2-4400-2-2-2-2-2-4-40000442-2-2-2-2200020000-40022220000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-22222-2-2-21111-200-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-44411122-2-2-2-2-2-222-2-1-1-1-1-200-4222-2-222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-411122-2-2222222-2-1-1-1-1-20042-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4001112222−2i3−2i32i32i3222-1-1-1-12000-20000-2−2i32i3-1-111i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-40011122222i32i3−2i3−2i3222-1-1-1-12000-20000-22i3−2i3-1-111−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4400111-2-222−2i3−2i32i32i3-2-22111120002000022i3−2i3-1-1-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4400111-2-2222i32i3−2i3−2i3-2-2211112000200002−2i32i3-1-1-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-4-44-4-4440000-4-44000000000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ6044-4-44400-4-44-4-4440000-4-440000000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ6144-4-44-2002-4-2-424-2000022-223−230000000002323−23−23000000000000000000000000000−2i22i2000000000000000i2−i2i6−i600000000
χ6244-4-44-2002-4-2-424-2000022-223−230000000002323−23−230000000000000000000000000002i2−2i2000000000000000−i2i2−i6i600000000
χ6344-4-44-2002-4-2-424-2000022-2−2323000000000−23−232323000000000000000000000000000−2i22i2000000000000000i2−i2−i6i600000000
χ6444-4-44-2002-4-2-424-2000022-2−2323000000000−23−2323230000000000000000000000000002i2−2i2000000000000000−i2i2i6−i600000000
χ654-44-444004-4-44-4-4400004-4-400000000000000004-4000000000000000000000000004-40000000000000000000000000
χ664-44-444004-4-44-4-4400004-4-40000000000000000-4400000000000000000000000000-440000000000000000000000000
χ674-44-4-240042-4-2-42-20000-22200000000−2i32i30−2i32i3−2i32i304-400000000000000000000000000-22−2i32i300000000000000000000000
χ684-44-4-240042-4-2-42-20000-22200000000−2i32i30−2i32i3−2i32i30-44000000000000000000000000002-22i3−2i300000000000000000000000
χ694-44-4-240042-4-2-42-20000-222000000002i3−2i302i3−2i32i3−2i304-400000000000000000000000000-222i3−2i300000000000000000000000
χ704-44-4-240042-4-2-42-20000-222000000002i3−2i302i3−2i32i3−2i30-44000000000000000000000000002-2−2i32i300000000000000000000000
χ714-4-44444-4-44-4-44-440000-44-400-4400000040000-400000000000-44000000000000000000000000000000000000000000
χ724-4-444-24-4242-4-2-4-200002-2200-44000000-200002000023−23000002-200000023−2323−2300000000000000000000000000000000
χ734-4-444-24-4242-4-2-4-200002-2200-44000000-2000020000−2323000002-2000000−2323−232300000000000000000000000000000000
χ744-4-444-2-44242-4-2-4-2004-42-22004-44-44-40020000-2000000-22000-2200-22-22000000000000000000000000000000000000
χ754-4-444-2-44242-4-2-4-200-442-22004-4-44-440020000-20000002-2000-22002-22-2000000000000000000000000000000000000
χ764-4-44-244-4-4-2-4242-200002-22002-2−2i32i32i3−2i30040000-4000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000
χ774-4-44-244-4-4-2-4242-200002-22002-22i3−2i3−2i32i30040000-4000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000
χ784-4-44-24-44-4-2-4242-2004-42-2200-22-22-2200-4000040000004-4000-2200-22-22000000000000000000000000000000000000
χ794-4-44-24-44-4-2-4242-200-442-2200-222-22-200-400004000000-44000-22002-22-2000000000000000000000000000000000000
χ804-4-44-2-24-42-222-2210000-11-1002-2−2i32i32i3−2i300-23i−3i−3i3i2000023−2300000-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000
χ814-4-44-2-24-42-222-2210000-11-1002-2−2i32i32i3−2i300-2−3i3i3i−3i20000−232300000-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000
χ824-4-44-2-24-42-222-2210000-11-1002-22i3−2i3−2i32i300-23i−3i−3i3i20000−232300000-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000
χ834-4-44-2-24-42-222-2210000-11-1002-22i3−2i3−2i32i300-2−3i3i3i−3i2000023−2300000-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000
χ844-4-44-2-2-442-222-221004-4-11-100-22-22-220023i−3i−3i3i-2000000-220001-1−3i3i1-11-13i−3i−3i3i00000000000000000000000000000000
χ854-4-44-2-2-442-222-221004-4-11-100-22-22-22002−3i3i3i−3i-2000000-220001-13i−3i1-11-1−3i3i3i−3i00000000000000000000000000000000
χ864-4-44-2-2-442-222-22100-44-11-100-222-22-20023i−3i−3i3i-20000002-20001-1−3i3i-11-11−3i3i3i−3i00000000000000000000000000000000
χ874-4-44-2-2-442-222-22100-44-11-100-222-22-2002−3i3i3i−3i-20000002-20001-13i−3i-11-113i−3i−3i3i00000000000000000000000000000000
χ8888-8-8-4800-8484-8-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-40044-444-420000-2-2243−43000000000−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-40044-444-420000-2-22−43430000000002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-88-88-400-4-8484-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400-444-444200002-2-200000000−4i34i302i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-444-444200002-2-2000000004i3−4i30−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000

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