Finite Group Databasebeta

← Group #11868744

Character table — Group #11868744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424444446612121212121212121244448812121212121212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-111111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-111-1-11111111-1-11-11-11111-1-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-1-11-11-1-111-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-111-1-111111-1-1-11-11-1-1-1-1111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-11-11-111-1-111111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-111-1-11-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-11-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1111-1-1-111-1-111-111-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1
χ13111111111111111-1-11111111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-111-1-1-1111-1-111-1-1-1111-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-111-1-111-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-2002222-2-2000002200000000-2000000-200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000002000000200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-200000000-2000000200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-2-2-2220000022000000002000000-200000
χ2122222-122-122-1-12-122-1-1-12-12-122220022-1-122-1-1-1-122-1-1-1-1-1-122000-1-100-1-12-1-1-1-1002020-1-1-1-1000-1-100000000
χ2222222-122-122-1-12-122-1-1-12-12-1222200-2-21122-1-1-1-1-2-211111122000-1-100-1-1-211-1-100-20-2011-1-10001100000000
χ2322222-122-122-1-12-122-1-1-12-12-1-2-2-2-20022-1-122-1-1-1-122-1-1-1-1-1-1-2-20001100112-1-1-1-100-20-2011110001100000000
χ2422222-122-122-1-12-122-1-1-12-12-1-2-2-2-200-2-21122-1-1-1-1-2-2111111-2-2000110011-211-1-1002020-1-111000-1-100000000
χ2522222-122-122-1-12-1-2-2-1-1-12-12-12222002-2-1-1-2-211-1-1-2-2111111-2-2000-1-100-1-12-1-1110020-20-1-1110001100000000
χ2622222-122-122-1-12-1-2-2-1-1-12-12-1222200-2211-2-211-1-122-1-1-1-1-1-1-2-2000-1-100-1-1-2111100-20201111000-1-100000000
χ2722222-122-122-1-12-1-2-2-1-1-12-12-1-2-2-2-2002-2-1-1-2-211-1-1-2-2111111220001100112-1-11100-202011-1-1000-1-100000000
χ2822222-122-122-1-12-1-2-2-1-1-12-12-1-2-2-2-200-2211-2-211-1-122-1-1-1-1-1-122000110011-211110020-20-1-1-1-10001100000000
χ292222-12222-1-122-1-122-1-1-1-12-120000222222-1-122-1-1-1-122-1-1-1-10022200-1-100-1-1-1-1-10002020000-1-1-100-1-1000-100
χ302222-12222-1-122-1-122-1-1-1-12-12000022-2-2-2-2-1-122-1-111-2-211110022200-1-100111-1-1000-20-20000-1-1-10011000100
χ312222-12222-1-122-1-122-1-1-1-12-120000-2-22222-1-122-1-1-1-122-1-1-1-100-2-2-2001100-1-1-1-1-1000-20-200001110011000100
χ322222-12222-1-122-1-122-1-1-1-12-120000-2-2-2-2-2-2-1-122-1-111-2-2111100-2-2-2001100111-1-1000202000011100-1-1000-100
χ332222-12222-1-122-1-1-2-2-1-1-1-12-120000222-22211-2-2-1-111-2-21111002-2-200-1-100-1-1-11100020-20000-1110011000-100
χ342222-12222-1-122-1-1-2-2-1-1-1-12-12000022-22-2-211-2-2-1-1-1-122-1-1-1-1002-2-200-1-10011111000-2020000-11100-1-1000100
χ352222-12222-1-122-1-1-2-2-1-1-1-12-120000-2-22-22211-2-2-1-111-2-2111100-222001100-1-1-111000-20200001-1-100-1-1000100
χ362222-12222-1-122-1-1-2-2-1-1-1-12-120000-2-2-22-2-211-2-2-1-1-1-122-1-1-1-100-2220011001111100020-200001-1-10011000-100
χ3722-2-2222-2-22-2-22-222-2-2-2222-2-22-22-20000002-22-22-2000000002-20002-2002-20002-2000000002-20000000000000
χ3822-2-2222-2-22-2-22-222-2-2-2222-2-2-22-220000002-22-22-200000000-22000-2200-220002-200000000-220000000000000
χ3922-2-2222-2-22-2-22-22-22-2-2222-2-22-22-2000000-22-222-200000000-220002-2002-2000-2200000000-220000000000000
χ4022-2-2222-2-22-2-22-22-22-2-2222-2-2-22-22000000-22-222-2000000002-2000-2200-22000-22000000002-20000000000000
χ4122-2-222-22-22-2-22-2200-2-22-2-2222-2-220000000000-22000000000002i−2i2-200-2200000000000000002i−2i000002i−2i000
χ4222-2-222-22-22-2-22-2200-2-22-2-2222-2-220000000000-2200000000000−2i2i2-200-220000000000000000−2i2i00000−2i2i000
χ4322-2-222-22-22-2-22-2200-2-22-2-222-222-20000000000-22000000000002i−2i-22002-200000000000000002i−2i00000−2i2i000
χ4422-2-222-22-22-2-22-2200-2-22-2-222-222-20000000000-2200000000000−2i2i-22002-20000000000000000−2i2i000002i−2i000
χ4522-2-22-12-212-21-1-2-12-211-12-1-212-22-200003−32-2-11-11003−333−3−32-2000-1100-1103−3-110000003−3-110003−300000000
χ4622-2-22-12-212-21-1-2-12-211-12-1-212-22-20000−332-2-11-1100−33−3−3332-2000-1100-110−33-11000000−33-11000−3300000000
χ4722-2-22-12-212-21-1-2-12-211-12-1-21-22-2200003−32-2-11-11003−333−3−3-220001-1001-103−3-11000000−331-1000−3300000000
χ4822-2-22-12-212-21-1-2-12-211-12-1-21-22-220000−332-2-11-1100−33−3−333-220001-1001-10−33-110000003−31-10003−300000000
χ4922-2-22-12-212-21-1-2-1-2211-12-1-212-22-200003−3-221-1-1100−33−3−333-22000-1100-1103−31-10000003−31-1000−3300000000
χ5022-2-22-12-212-21-1-2-1-2211-12-1-212-22-20000−33-221-1-11003−333−3−3-22000-1100-110−331-1000000−331-10003−300000000
χ5122-2-22-12-212-21-1-2-1-2211-12-1-21-22-2200003−3-221-1-1100−33−3−3332-20001-1001-103−31-1000000−33-110003−300000000
χ5222-2-22-12-212-21-1-2-1-2211-12-1-21-22-220000−33-221-1-11003−333−3−32-20001-1001-10−331-10000003−3-11000−3300000000
χ5344444-2-4-4-244-2-24-200-2-2-2-42-4244-4-40000000000220000000000000-2-200220000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2-42-42-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-22-42-400004400000000220000000000-40000-2-2000000000000000002000000000000
χ564444-24-4-44-2-244-2-200-2-2-22-42-40000-4-400000000220000000000400002200000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-422-2-2-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-4-2-22222112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44-2-4424-42-2-4-20022-2-424-24-4-4400000000002-20000000000000-22002-20000000000000000000000000000
χ6244-4-44-2-4424-42-2-4-20022-2-424-2-444-400000000002-200000000000002-200-220000000000000000000000000000
χ6344-4-4-244-4-4-22-442-24-422-2-242-40000000000-224-4-220000000000000000000000-2200000000000000000000000
χ6444-4-4-244-4-4-22-442-2-4422-2-242-400000000002-2-44-2200000000000000000000002-200000000000000000000000
χ6544-4-4-24-44-4-22-442-20022-22-4-24000000000000002-2000000000004i−4i0000000000000000000000−2i2i0000000000
χ6644-4-4-24-44-4-22-442-20022-22-4-24000000000000002-200000000000−4i4i00000000000000000000002i−2i0000000000
χ6744-4-4-2-24-42-222-2214-4-1-11-2-2220000000023−23-22-221-10023−23−3−333000000000000−331-100000000000000000000000
χ6844-4-4-2-24-42-222-2214-4-1-11-2-22200000000−2323-22-221-100−232333−3−30000000000003−31-100000000000000000000000
χ6944-4-4-2-24-42-222-221-44-1-11-2-2220000000023−232-22-21-100−232333−3−3000000000000−33-1100000000000000000000000
χ7044-4-4-2-24-42-222-221-44-1-11-2-22200000000−23232-22-21-10023−23−3−3330000000000003−3-1100000000000000000000000
χ714-44-44400-4-444-4-44004-4-4000000004-400000000000000000000000004-4000000000000000000000000000000
χ724-44-44400-4-444-4-44004-4-400000000-440000000000000000000000000-44000000000000000000000000000000
χ734-44-4-2400-42-24-42-200-222000000004-40000000000i6−i600i6−i6i6−i60000000-220000000000000000000000i6−i6000000
χ744-44-4-2400-42-24-42-200-222000000004-40000000000−i6i600−i6i6−i6i60000000-220000000000000000000000−i6i6000000
χ754-44-4-2400-42-24-42-200-22200000000-440000000000i6−i600i6−i6i6−i600000002-20000000000000000000000−i6i6000000
χ764-44-4-2400-42-24-42-200-22200000000-440000000000−i6i600−i6i6−i6i600000002-20000000000000000000000i6−i6000000
χ774-4-4444004-4-4-4-44400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ784-4-4444004-4-4-4-44400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-444-44200-2-2244-4-400000000000000-2200000000000000000000000000000000000000000000000
χ818-88-88-4004-88-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-4442002-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ838-88-8-4-40044-4-4442002-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ848-8-888-400-4-8-8448-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800844-8-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-4200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ878-8-88-4-400-44444-4200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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