Finite Group Databasebeta

← Group #11868839

Character table — Group #11868839

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444448121212121212121224242424242424242244466121212121212121212444466881212121212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-11111-1-111111-1-11-1111-111-1-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-1-1111-11-1-1-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-1-1-11111111-1-1-11-1-1-11-1-1111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-11-1-1-11-11111111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-1-1-1111-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-111-1-11-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11-1-1-1-1111-111-1-111-111-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-11111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-11-1-111-1-1-1111-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11111-1-1-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-11111-1-1-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-20022-2-22200000-2-200000000-2000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-20000022000000002000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-22222000002200000000-2000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-200000-2-2000000002000000200000
χ2122222-122-12-1-122-122-1-1-12-12-12222002222-1-1-1-1-1-122-1-1-1-1-1-122000-1-1-1-1002-1-1-1-10020-1-120-1-1000-1-100000000
χ2222222-122-12-1-122-122-1-1-12-12-1222200-2-222-1-111-1-1-2-211111122000-1-1-1-100-211-1-100-20-1-1-20110001100000000
χ2322222-122-12-1-122-122-1-1-12-12-1-2-2-2-2002222-1-1-1-1-1-122-1-1-1-1-1-1-2-20001111002-1-1-1-100-2011-20110001100000000
χ2422222-122-12-1-122-122-1-1-12-12-1-2-2-2-200-2-222-1-111-1-1-2-2111111-2-2000111100-211-1-100201120-1-1000-1-100000000
χ2522222-122-12-1-122-1-2-2-1-1-12-12-12222002-2-2-211-1-1-1-1-2-2111111-2-2000-1-1-1-1002-1-111002011-20-1-10001100000000
χ2622222-122-12-1-122-1-2-2-1-1-12-12-1222200-22-2-21111-1-122-1-1-1-1-1-1-2-2000-1-1-1-100-2111100-20112011000-1-100000000
χ2722222-122-12-1-122-1-2-2-1-1-12-12-1-2-2-2-2002-2-2-211-1-1-1-1-2-2111111220001111002-1-11100-20-1-12011000-1-100000000
χ2822222-122-12-1-122-1-2-2-1-1-12-12-1-2-2-2-200-22-2-21111-1-122-1-1-1-1-1-122000111100-211110020-1-1-20-1-10001100000000
χ292222-12222-122-1-1-122-1-1-1-12-1200002222-1-12222-1-1-1-122-1-1-1-1002220000-1-1-1-1-1-1-10002000200-1-1-100-1-1000-100
χ302222-12222-122-1-1-122-1-1-1-12-12000022-2-2-1-122-2-2-1-111-2-21111002220000-1-1111-1-1000-2000-200-1-1-10011000100
χ312222-12222-122-1-1-122-1-1-1-12-120000-2-222-1-12222-1-1-1-122-1-1-1-100-2-2-2000011-1-1-1-1-1000-2000-2001110011000100
χ322222-12222-122-1-1-122-1-1-1-12-120000-2-2-2-2-1-122-2-2-1-111-2-2111100-2-2-2000011111-1-1000200020011100-1-1000-100
χ332222-12222-122-1-1-1-2-2-1-1-1-12-120000222-211-2-222-1-111-2-21111002-2-20000-1-1-1-1-1110002000-200-1110011000-100
χ342222-12222-122-1-1-1-2-2-1-1-1-12-12000022-2211-2-2-2-2-1-1-1-122-1-1-1-1002-2-20000-1-111111000-2000200-11100-1-1000100
χ352222-12222-122-1-1-1-2-2-1-1-1-12-120000-2-22-211-2-222-1-111-2-2111100-222000011-1-1-111000-20002001-1-100-1-1000100
χ362222-12222-122-1-1-1-2-2-1-1-1-12-120000-2-2-2211-2-2-2-2-1-1-1-122-1-1-1-100-222000011111110002000-2001-1-10011000-100
χ3722-2-2222-2-222-2-2-222-2-2-2222-2-22-22-200002-22-2002-2000000002-20002-22-2000002-200002-200000000000000000
χ3822-2-2222-2-222-2-2-222-2-2-2222-2-2-22-2200002-22-2002-200000000-22000-22-22000002-20000-2200000000000000000
χ3922-2-2222-2-222-2-2-22-22-2-2222-2-22-22-20000-22-22002-200000000-220002-22-200000-220000-2200000000000000000
χ4022-2-2222-2-222-2-2-22-22-2-2222-2-2-22-220000-22-22002-2000000002-2000-22-2200000-2200002-200000000000000000
χ4122-2-222-22-222-2-2-2200-2-22-2-2222-2-220000000000-22000000000002i−2i2-2-220000000000000000002i−2i000002i−2i000
χ4222-2-222-22-222-2-2-2200-2-22-2-2222-2-220000000000-2200000000000−2i2i2-2-22000000000000000000−2i2i00000−2i2i000
χ4322-2-222-22-222-2-2-2200-2-22-2-222-222-20000000000-22000000000002i−2i-222-20000000000000000002i−2i00000−2i2i000
χ4422-2-222-22-222-2-2-2200-2-22-2-222-222-20000000000-2200000000000−2i2i-222-2000000000000000000−2i2i000002i−2i000
χ4522-2-22-12-212-11-2-2-12-211-12-1-212-22-200002-2-113−3-11003−333−3−32-2000-11-110003−3-110000-11003−30003−300000000
χ4622-2-22-12-212-11-2-2-12-211-12-1-212-22-200002-2-11−33-1100−33−3−3332-2000-11-11000−33-110000-1100−33000−3300000000
χ4722-2-22-12-212-11-2-2-12-211-12-1-21-22-2200002-2-113−3-11003−333−3−3-220001-11-10003−3-1100001-100−33000−3300000000
χ4822-2-22-12-212-11-2-2-12-211-12-1-21-22-2200002-2-11−33-1100−33−3−333-220001-11-1000−33-1100001-1003−30003−300000000
χ4922-2-22-12-212-11-2-2-1-2211-12-1-212-22-20000-221-13−3-1100−33−3−333-22000-11-110003−31-100001-1003−3000−3300000000
χ5022-2-22-12-212-11-2-2-1-2211-12-1-212-22-20000-221-1−33-11003−333−3−3-22000-11-11000−331-100001-100−330003−300000000
χ5122-2-22-12-212-11-2-2-1-2211-12-1-21-22-220000-221-13−3-1100−33−3−3332-20001-11-10003−31-10000-1100−330003−300000000
χ5222-2-22-12-212-11-2-2-1-2211-12-1-21-22-220000-221-1−33-11003−333−3−32-20001-11-1000−331-10000-11003−3000−3300000000
χ5344444-2-4-4-24-2-244-200-2-2-2-42-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-4-24-2-244-200-2-2-2-42-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-44-244-2-2-200-2-2-22-42-400004400000000220000000000-4000000-2-20000000000000002000000000000
χ564444-24-4-44-244-2-2-200-2-2-22-42-40000-4-400000000220000000000400000022000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-2-2-222112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-42222-2-2112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44-2-4424-22-4-4-20022-2-424-24-4-4400000000002-20000000000000-222-2000000000000000000000000000000
χ6244-4-44-2-4424-22-4-4-20022-2-424-2-444-400000000002-200000000000002-2-22000000000000000000000000000000
χ6344-4-4-244-4-4-24-422-24-422-2-242-400000000-224-400-220000000000000000000000-2200000000000000000000000
χ6444-4-4-244-4-4-24-422-2-4422-2-242-4000000002-2-4400-2200000000000000000000002-200000000000000000000000
χ6544-4-4-24-44-4-24-422-20022-22-4-24000000000000002-2000000000004i−4i0000000000000000000000−2i2i0000000000
χ6644-4-4-24-44-4-24-422-20022-22-4-24000000000000002-200000000000−4i4i00000000000000000000002i−2i0000000000
χ6744-4-4-2-24-42-2-222214-4-1-11-2-22200000000-22-2223−231-10023−23−3−333000000000000−331-100000000000000000000000
χ6844-4-4-2-24-42-2-222214-4-1-11-2-22200000000-22-22−23231-100−232333−3−30000000000003−31-100000000000000000000000
χ6944-4-4-2-24-42-2-22221-44-1-11-2-222000000002-22-223−231-100−232333−3−3000000000000−33-1100000000000000000000000
χ7044-4-4-2-24-42-2-22221-44-1-11-2-222000000002-22-2−23231-10023−23−3−3330000000000003−3-1100000000000000000000000
χ714-44-444004-4-4-44-44004-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ724-44-444004-4-4-44-44004-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ734-4-444400-4-4-44-44400-44-4000000004-40000000000000000000000000004-40000000000000000000000000000
χ744-4-444400-4-4-44-44400-44-400000000-44000000000000000000000000000-440000000000000000000000000000
χ754-4-44-2400-42-442-2-2002-22000000004-400000000006−6006−66−6000000000-22000000000000000000006−6000000
χ764-4-44-2400-42-442-2-2002-22000000004-40000000000−6600−66−66000000000-2200000000000000000000−66000000
χ774-4-44-2400-42-442-2-2002-2200000000-4400000000006−6006−66−60000000002-200000000000000000000−66000000
χ784-4-44-2400-42-442-2-2002-2200000000-440000000000−6600−66−660000000002-2000000000000000000006−6000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-4-4444200-2-2244-4-400000000000000-2200000000000000000000000000000000000000000000000
χ818-88-88-400-4-8448-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-480084-8-8-44-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-4444-442002-2-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ848-88-8-4-400-4444-442002-2-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ858-8-888-4004-84-4-88-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-22-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-22-200000000000000000000−2626006−66−6000000000000000000000000000000000000000

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