Finite Group Databasebeta

← Group #11895956

Character table — Group #11895956

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order122233446666663444466612121212121212121212121212124121212121212121212121212121212121212121212448888442226688121224242424242424244446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-111-1-11-1-11-11-1
χ611111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-1-1-111-111-11-11
χ711111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-11111-1-1-1111-1-11
χ811111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-111-1-1111-1-1-111-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11-1-111-1111-1-1-1-11111-1-1-1-1-111
χ10111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ11111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ12111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11-111-1-11111-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-11-1-1-11111-1-111-1-1111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111111-1111-1-1-1-111-1-111-1-11-1-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-11-1-111-1-1-1-111-1111-11-1
χ17222222-2-22222222002-22222222-2-2-22222-2-2-200000-20000-2-20000-2-200000000002200000000000000000-22-20000
χ18222222-2-22222222002-22222222-2-2-22222-2-2-200000-20000-2-20000-2-20000000000-2-2000000000000000002-220000
χ19222222-2-2222222200-22222-2-2-2-2-222-2-2-2-2-2-2-20000020000-2-200002200000000002200000000000000000-2-220000
χ20222222-2-2222222200-22222-2-2-2-2-222-2-2-2-2-2-2-20000020000-2-20000220000000000-2-20000000000000000022-20000
χ2122222-1222-12-1-12-12222-1-1-122-1-1-122-1-1-1-122-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022000220002000000-1-1-1-1000-1-100
χ2222222-1222-12-1-12-12222-1-1-122-1-1-122-1-1-1-122-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000-2-2000-200000011110001100
χ2322222-1222-12-1-12-122-2-2-1-1-1-2-211-1-2-2111122-1-222-1-1111-2-2-1-1-1-1-1-11111110000220002-2000-2000000-1-111000-1100
χ2422222-1222-12-1-12-122-2-2-1-1-1-2-211-1-2-2111122-1-222-1-1111-2-2-1-1-1-1-1-11111110000-2-2000-22000200000011-1-10001-100
χ2522222-1222-12-1-12-1-2-222-1-1-122-1-1-122-1-1-1-122-1-2-2-211-111-2-2-1-11111-1-11111000022000-2-20002000000-1-1-1-10001100
χ2622222-1222-12-1-12-1-2-222-1-1-122-1-1-122-1-1-1-122-1-2-2-211-111-2-2-1-11111-1-111110000-2-200022000-20000001111000-1-100
χ2722222-1222-12-1-12-1-2-2-2-2-1-1-1-2-211-1-2-2111122-12-2-2111-1-122-1-1111111-1-1-1-1000022000-22000-2000000-1-1110001-100
χ2822222-1222-12-1-12-1-2-2-2-2-1-1-1-2-211-1-2-2111122-12-2-2111-1-122-1-1111111-1-1-1-10000-2-20002-2000200000011-1-1000-1100
χ292222-1222-12-122-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000200-1-120-1-1-1-1-1-100000000000
χ302222-1222-12-122-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-20011-2011111100000000000
χ312222-1222-12-122-1-122-2-2-1-1-111-2-22111111-1-12-2-1-122-2-2-211-1-1-1-1-1-111111122220000-20011-20-1-1-1-11100000000000
χ322222-1222-12-122-1-122-2-2-1-1-111-2-22111111-1-12-2-1-122-2-2-211-1-1-1-1-1-1111111-2-2-2-20000200-1-1201111-1-100000000000
χ332222-1222-12-122-1-1-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-12-211-2-22-2-211-1-11111-1-1111122-2-20000200-1-1-20-1-1111100000000000
χ342222-1222-12-122-1-1-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-12-211-2-22-2-211-1-11111-1-11111-2-2220000-200112011-1-1-1-100000000000
χ352222-1222-12-122-1-1-2-2-2-2-1-1-111-2-22111111-1-12211-2-2-222-1-1-1-1111111-1-1-1-122-2-20000-2001120-1-111-1-100000000000
χ362222-1222-12-122-1-1-2-2-2-2-1-1-111-2-22111111-1-12211-2-2-222-1-1-1-1111111-1-1-1-1-2-2220000200-1-1-2011-1-11100000000000
χ3722-2-222-22-2-222-2-222-200-22-20000-20000002-2202-22-2000002-222-2-20000002i−2i2i−2i000000000002i−2i2i−2i0000000000000
χ3822-2-222-22-2-222-2-222-200-22-20000-20000002-2202-22-2000002-222-2-2000000−2i2i−2i2i00000000000−2i2i−2i2i0000000000000
χ3922-2-222-22-2-222-2-22-2200-22-20000-20000002-220-22-22000002-2-2-2220000002i−2i−2i2i000000000002i−2i−2i2i0000000000000
χ4022-2-222-22-2-222-2-22-2200-22-20000-20000002-220-22-22000002-2-2-222000000−2i2i2i−2i00000000000−2i2i2i−2i0000000000000
χ4122-2-2-12-221-2-12-21-12-2001-113−300-23−333−3−3-1120-112-20003−3-11-1-1113−333−3−32i−2i2i−2i0000000−i3i300−ii−ii−i3i300000000000
χ4222-2-2-12-221-2-12-21-12-2001-113−300-23−333−3−3-1120-112-20003−3-11-1-1113−333−3−3−2i2i−2i2i0000000i3−i300i−ii−ii3−i300000000000
χ4322-2-2-12-221-2-12-21-12-2001-11−3300-2−33−3−333-1120-112-2000−33-11-1-111−33−3−3332i−2i2i−2i0000000i3−i300−ii−iii3−i300000000000
χ4422-2-2-12-221-2-12-21-12-2001-11−3300-2−33−3−333-1120-112-2000−33-11-1-111−33−3−333−2i2i−2i2i0000000−i3i300i−ii−i−i3i300000000000
χ4522-2-2-12-221-2-12-21-1-22001-113−300-23−333−3−3-11201-1-22000−33-1111-1-13−3−3−3332i−2i−2i2i0000000−i3i300−iii−ii3−i300000000000
χ4622-2-2-12-221-2-12-21-1-22001-113−300-23−333−3−3-11201-1-22000−33-1111-1-13−3−3−333−2i2i2i−2i0000000i3−i300i−i−ii−i3i300000000000
χ4722-2-2-12-221-2-12-21-1-22001-11−3300-2−33−3−333-11201-1-220003−3-1111-1-1−3333−3−32i−2i−2i2i0000000i3−i300−iii−i−i3i300000000000
χ4822-2-2-12-221-2-12-21-1-22001-11−3300-2−33−3−333-11201-1-220003−3-1111-1-1−3333−3−3−2i2i2i−2i0000000−i3i300i−i−iii3−i300000000000
χ4944444-2-4-44-24-2-24-2004-4-2-2-244-2-22-4-4-2-2-2-2-4-42000002000022000022000000000000000000000000000000000000
χ5044444-2-4-44-24-2-24-200-44-2-2-2-4-4222442222-4-4200000-20000220000-2-2000000000000000000000000000000000000
χ514444-24-4-4-24-244-2-2004-4-2-2-2-2-244-422-2-2-2-222-400000-4000022000022000000000000000000000000000000000000
χ524444-24-4-4-24-244-2-200-44-2-2-222-4-4-4-2-2222222-40000040000220000-2-2000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-21111-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144-4-41112222-222-1-1-1-1-2-2-2-4-2-2-2-222222111111-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-2-21111-2-2-2-42222-2222211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-41112222-222-1-1-1-1-2-2-2422222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21004-4111-2-2-2-222211112220000020000-1-13-33-3-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21004-4111-2-2-2-222211112220000020000-1-1-33-33-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2100-4411122222-2-2-1-1-1-122200000-20000-1-13-33-311-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2100-4411122222-2-2-1-1-1-122200000-20000-1-1-33-33113-33-300000000000000000000000000000000
χ6144-4-4444-4-4-444-4-440000-44-400004000000-44-40000000000-44000000000000000000000000000000000000000000
χ6244-4-44-24-4-424-22-4-200002-220000-2000000-44200000023−23002-200000023−23−232300000000000000000000000000000000
χ6344-4-44-24-4-424-22-4-200002-220000-2000000-442000000−2323002-2000000−232323−2300000000000000000000000000000000
χ6444-4-44-2-44-424-22-4-24-4002-22000020000004-4-204-4-2200000-22-2-22200000000000000000000000000000000000000
χ6544-4-44-2-44-424-22-4-2-44002-22000020000004-4-20-442-200000-2222-2-200000000000000000000000000000000000000
χ6644-4-4-244-42-4-24-42-200002-2223−23004−23232323−23−232-2-400000000002-20000−2323000000000000000000000000000000000000
χ6744-4-4-244-42-4-24-42-200002-22−232300423−23−23−2323232-2-400000000002-2000023−23000000000000000000000000000000000000
χ6844-4-4-2-24-422-2-22210000-11-123−2300-2−2323−3−3332-2200000023−2300-11-333-33−3−333−300000000000000000000000000000000
χ6944-4-4-2-24-422-2-22210000-11-123−2300-2−2323−3−3332-22000000−232300-113-3-333−33−3−3300000000000000000000000000000000
χ7044-4-4-2-24-422-2-22210000-11-1−232300-223−2333−3−32-2200000023−2300-113-3-33−33−333−300000000000000000000000000000000
χ7144-4-4-2-24-422-2-22210000-11-1−232300-223−2333−3−32-22000000−232300-11-333-3−333−3−3300000000000000000000000000000000
χ7244-4-4-2-2-4422-2-22214-400-11-123−2300223−23−3−333-22-20-22-2200023−231-111-1-1−33−3−33300000000000000000000000000000000
χ7344-4-4-2-2-4422-2-22214-400-11-1−2323002−232333−3−3-22-20-22-22000−23231-111-1-13−333−3−300000000000000000000000000000000
χ7444-4-4-2-2-4422-2-2221-4400-11-123−2300223−23−3−333-22-202-22-2000−23231-1-1-111−3333−3−300000000000000000000000000000000
χ7544-4-4-2-2-4422-2-2221-4400-11-1−2323002−232333−3−3-22-202-22-200023−231-1-1-1113−3−3−33300000000000000000000000000000000
χ764-44-4440044-4-4-4-4400004-4-40000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ774-44-4440044-4-4-4-4400004-4-400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ784-44-44-2004-2-422-4-20000-22200−2i32i3000−2i32i3−2i32i300000000000000000000000000000−2i22i2000000000000000i2−i26−60000000
χ794-44-44-2004-2-422-4-20000-22200−2i32i3000−2i32i3−2i32i3000000000000000000000000000002i2−2i2000000000000000−i2i2−660000000
χ804-44-44-2004-2-422-4-20000-222002i3−2i30002i3−2i32i3−2i300000000000000000000000000000−2i22i2000000000000000i2−i2−660000000
χ814-44-44-2004-2-422-4-20000-222002i3−2i30002i3−2i32i3−2i3000000000000000000000000000002i2−2i2000000000000000−i2i26−60000000
χ824-4-444400-4-4-4-44440000-4-440000000000000000000000000000000000000000004-4000000000000000000000000
χ834-4-444400-4-4-4-44440000-4-44000000000000000000000000000000000000000000-44000000000000000000000000
χ848-88-8-4800-484-8-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-4-44444200002-2-200−4i34i30002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-4-44444200002-2-2004i3−4i3000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ878-8-888-400-84-84-48-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-84-88-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-420000-2-2200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-420000-2-220000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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