Finite Group Databasebeta

← Group #11896057

Character table — Group #11896057

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order122233446666663444466612121212121212121212121212124121212121212121212121212121212121212121212448888442448812121212242424242424242444461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-111-1-1
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
χ511111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111-1-1-1-111-1-111-1-111-1-1-11-11-11-1
χ611111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1111-1-111-1-1-1-1111-11-11-11
χ711111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-111-1-11111-1-11-111-1-11
χ811111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-111-11-1-111-1
χ9111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-11-1-111111-1-1-1-11111-1-1-1-1-111
χ10111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ11111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ12111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-111-1-1-1-11111-1-11-11-111-1
χ14111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-111-11-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-111-1-1-1-11111-1-111-1-1-11-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-11111-1-1-1-1111-111-11-1
χ17222222-2-22222222002-222222-2-222-22222-2-2-20-200000000-2-20000-2-2000000000022000000000000000002-2-20000
χ18222222-2-22222222002-222222-2-222-22222-2-2-20-200000000-2-20000-2-20000000000-2-200000000000000000-2220000
χ19222222-2-2222222200-22222-2-222-2-2-2-2-2-2-2-2-2-20200000000-2-200002200000000002200000000000000000-2-220000
χ20222222-2-2222222200-22222-2-222-2-2-2-2-2-2-2-2-2-20200000000-2-20000220000000000-2-20000000000000000022-20000
χ2122222-122-12-122-1-12222-1-1-1-1-12222-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022002020200000000-1-1-1-1000-1-100
χ2222222-122-12-122-1-12222-1-1-1-1-12222-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-20-20-20000000011110001100
χ2322222-122-12-122-1-122-2-2-1-1-111-2-2-2-2-1111122-1-21-2-21122-1-1-1-1-1-1-1-11111110000220020-20-200000000-1-111000-1100
χ2422222-122-12-122-1-122-2-2-1-1-111-2-2-2-2-1111122-1-21-2-21122-1-1-1-1-1-1-1-11111110000-2-200-202020000000011-1-10001-100
χ2522222-122-12-122-1-1-2-222-1-1-1-1-12222-1-1-1-1-122-1-2-1-2-211-2-211-1-11111-1-1111100002200-20-20200000000-1-1-1-10001100
χ2622222-122-12-122-1-1-2-222-1-1-1-1-12222-1-1-1-1-122-1-2-1-2-211-2-211-1-11111-1-111110000-2-2002020-2000000001111000-1-100
χ2722222-122-12-122-1-1-2-2-2-2-1-1-111-2-2-2-2-1111122-12122-1-1-2-211-1-1111111-1-1-1-100002200-2020-200000000-1-1110001-100
χ2822222-122-12-122-1-1-2-2-2-2-1-1-111-2-2-2-2-1111122-12122-1-1-2-211-1-1111111-1-1-1-10000-2-20020-2020000000011-1-1000-1100
χ292222-12222-12-1-12-12222-1-1-122-1-1-1-12-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000002020-1-1-1-1-1-1-1-100000000000
χ302222-12222-12-1-12-12222-1-1-122-1-1-1-12-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-20-201111111100000000000
χ312222-12222-12-1-12-122-2-2-1-1-1-2-2111121111-1-12-2-211-2-2-1-122-1-1-1-1-1-1111111222200000-20-20-1-111-1-11100000000000
χ322222-12222-12-1-12-122-2-2-1-1-1-2-2111121111-1-12-2-211-2-2-1-122-1-1-1-1-1-1111111-2-2-2-200000202011-1-111-1-100000000000
χ332222-12222-12-1-12-1-2-222-1-1-122-1-1-1-12-1-1-1-1-1-12-2211-2-211-2-2-1-11111-1-1111122-2-20000020-20-1-1-1-1111100000000000
χ342222-12222-12-1-12-1-2-222-1-1-122-1-1-1-12-1-1-1-1-1-12-2211-2-211-2-2-1-11111-1-11111-2-22200000-20201111-1-1-1-100000000000
χ352222-12222-12-1-12-1-2-2-2-2-1-1-1-2-2111121111-1-122-2-1-12211-2-2-1-1111111-1-1-1-122-2-200000-2020-1-11111-1-100000000000
χ362222-12222-12-1-12-1-2-2-2-2-1-1-1-2-2111121111-1-122-2-1-12211-2-2-1-1111111-1-1-1-1-2-2220000020-2011-1-1-1-11100000000000
χ3722-2-222-22-2-2-2-22222-200-22-2000000-200002-220000002-22-22-222-2-20000002i−2i2i−2i0000000002i−2i002i−2i0000000000000
χ3822-2-222-22-2-2-2-22222-200-22-2000000-200002-220000002-22-22-222-2-2000000−2i2i−2i2i000000000−2i2i00−2i2i0000000000000
χ3922-2-222-22-2-2-2-2222-2200-22-2000000-200002-22000000-22-222-2-2-2220000002i−2i−2i2i0000000002i−2i00−2i2i0000000000000
χ4022-2-222-22-2-2-2-2222-2200-22-2000000-200002-22000000-22-222-2-2-222000000−2i2i2i−2i000000000−2i2i002i−2i0000000000000
χ4122-2-2-12-22-21-21-12-12-2001-11003−33−3-233−3−3-112003−300-112-2-11-1-1113−333−3−32i−2i2i−2i000000000−ii−i3i3−ii−i3i300000000000
χ4222-2-2-12-22-21-21-12-12-2001-11003−33−3-233−3−3-112003−300-112-2-11-1-1113−333−3−3−2i2i−2i2i000000000i−ii3−i3i−ii3−i300000000000
χ4322-2-2-12-22-21-21-12-12-2001-1100−33−33-2−3−333-11200−3300-112-2-11-1-111−33−3−3332i−2i2i−2i000000000−iii3−i3−iii3−i300000000000
χ4422-2-2-12-22-21-21-12-12-2001-1100−33−33-2−3−333-11200−3300-112-2-11-1-111−33−3−333−2i2i−2i2i000000000i−i−i3i3i−i−i3i300000000000
χ4522-2-2-12-22-21-21-12-1-22001-11003−33−3-233−3−3-11200−33001-1-22-1111-1-13−3−3−3332i−2i−2i2i000000000−ii−i3i3i−ii3−i300000000000
χ4622-2-2-12-22-21-21-12-1-22001-11003−33−3-233−3−3-11200−33001-1-22-1111-1-13−3−3−333−2i2i2i−2i000000000i−ii3−i3−ii−i3i300000000000
χ4722-2-2-12-22-21-21-12-1-22001-1100−33−33-2−3−333-112003−3001-1-22-1111-1-1−3333−3−32i−2i−2i2i000000000−iii3−i3i−i−i3i300000000000
χ4822-2-2-12-22-21-21-12-1-22001-1100−33−33-2−3−333-112003−3001-1-22-1111-1-1−3333−3−3−2i2i2i−2i000000000i−i−i3i3−iii3−i300000000000
χ4944444-2-4-4-24-244-2-2004-4-2-2-2-2-2-4-4442-2-2-2-2-4-42020000000022000022000000000000000000000000000000000000
χ5044444-2-4-4-24-244-2-200-44-2-2-22244-4-422222-4-420-200000000220000-2-2000000000000000000000000000000000000
χ514444-24-4-44-24-2-24-2004-4-2-2-24422-2-2-4-2-2-2-222-40-40000000022000022000000000000000000000000000000000000
χ524444-24-4-44-24-2-24-200-44-2-2-2-4-4-2-222-4222222-40400000000220000-2-2000000000000000000000000000000000000
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
χ544444-2-244-2-2-2-2-2-2144-4-4111222222-2-1-1-1-1-2-2-2-422222-2-2-2-2111111-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-2-21111-2-2-2-4-22222222211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-4111222222-2-1-1-1-1-2-2-242-2-2-2-2222211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21004-4111-2-222-2-2211112220200000000-1-13-33-3-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21004-4111-2-222-2-2211112220200000000-1-1-33-33-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2100-4411122-2-2222-1-1-1-12220-200000000-1-13-33-311-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2100-4411122-2-2222-1-1-1-12220-200000000-1-1-33-33113-33-300000000000000000000000000000000
χ6144-4-4444-4-4-4-4-44440000-44-400000040000-44-40000000000-44000000000000000000000000000000000000000000
χ6244-4-44-24-42-42-44-2-200002-22000000-20000-442000023−2300002-200000023−23−232300000000000000000000000000000000
χ6344-4-44-24-42-42-44-2-200002-22000000-20000-4420000−232300002-2000000−232323−2300000000000000000000000000000000
χ6444-4-44-2-442-42-44-2-24-4002-22000000200004-4-20000004-4-22-22-2-22200000000000000000000000000000000000000
χ6544-4-44-2-442-42-44-2-2-44002-22000000200004-4-2000000-442-2-2222-2-200000000000000000000000000000000000000
χ6644-4-4-244-4-42-42-24-200002-220023−23−23234−23−2323232-2-400000000002-2000023−23000000000000000000000000000000000000
χ6744-4-4-244-4-42-42-24-200002-2200−232323−2342323−23−232-2-400000000002-20000−2323000000000000000000000000000000000000
χ6844-4-4-2-24-42222-2-210000-11-10023−23−2323-233−3−32-22000023−230000-113-3-33−33−333−300000000000000000000000000000000
χ6944-4-4-2-24-42222-2-210000-11-10023−23−2323-233−3−32-220000−23230000-11-333-3−333−3−3300000000000000000000000000000000
χ7044-4-4-2-24-42222-2-210000-11-100−232323−23-2−3−3332-22000023−230000-11-333-33−3−333−300000000000000000000000000000000
χ7144-4-4-2-24-42222-2-210000-11-100−232323−23-2−3−3332-220000−23230000-113-3-333−33−3−3300000000000000000000000000000000
χ7244-4-4-2-2-442222-2-214-400-11-10023−2323−232−3−333-22-20023−2300-22-221-111-1-1−33−3−33300000000000000000000000000000000
χ7344-4-4-2-2-442222-2-214-400-11-100−2323−2323233−3−3-22-200−232300-22-221-111-1-13−333−3−300000000000000000000000000000000
χ7444-4-4-2-2-442222-2-21-4400-11-10023−2323−232−3−333-22-200−2323002-22-21-1-1-111−3333−3−300000000000000000000000000000000
χ7544-4-4-2-2-442222-2-21-4400-11-100−2323−2323233−3−3-22-20023−23002-22-21-1-1-1113−3−3−33300000000000000000000000000000000
χ764-44-444004-4-44-4-4400004-4-40000000000000000000000000000000000000000004-4000000000000000000000000
χ774-44-444004-4-44-4-4400004-4-4000000000000000000000000000000000000000000-44000000000000000000000000
χ784-4-444400-444-4-4-440000-4-440000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ794-4-444400-444-4-4-440000-4-4400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ804-4-444-20024-2-4-42-2000022-223−230000023−2323−2300000000000000000000000000000−2i22i2000000000000000i2−i2i6−i60000000
χ814-4-444-20024-2-4-42-2000022-223−230000023−2323−23000000000000000000000000000002i2−2i2000000000000000−i2i2−i6i60000000
χ824-4-444-20024-2-4-42-2000022-2−232300000−2323−232300000000000000000000000000000−2i22i2000000000000000i2−i2−i6i60000000
χ834-4-444-20024-2-4-42-2000022-2−232300000−2323−2323000000000000000000000000000002i2−2i2000000000000000−i2i2i6−i60000000
χ848-88-88-400-4-848-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-480084-8-44-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-444-444200002-2-200000006-6-66000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-444-444200002-2-20000000-666-6000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-8-4844-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-4-444420000-2-2243−4300000−2323−2323000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004-4-444420000-2-22−43430000023−2323−23000000000000000000000000000000000000000000000000000000000

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