Finite Group Databasebeta

← Group #11868810

Character table — Group #11868810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666223666121212122244444666681212121224242424242424244444466121212126612121244448812121212121212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-1-11-1-11111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-11111-1-111111-1-11-11-1-11111-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-1-1-11111111-1-1-11-111-1-1-1-111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11-11-1111-1-11111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-111-1-1-1-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11-1-11
χ1111111111111111-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-11-111-1-111-1-11111-1-1-11
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-111-1
χ1311111111111111-1-111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1111-1-1-111-11-1-111-1-111-1-111-11-11
χ1411111111111111-1-111111111-1-1-1-111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-111-1-1-111111111-1-11-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-222-2-22200000000-2-20000000000-20022-2-22200000-2-20000-20000000000002000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-2000002200002000000000000-2000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000220000-2000000000000-2000
χ20222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-200000-2-2000020000000000002000
χ2122222-122-122-1-1222-1-1-1-12-12-1222200222-1-12-1-1-1-122-1-1-1-1-1-122000-1-1-1-100-1-12-1-10020200-1-1-1-100-1-100000000
χ2222222-122-122-1-1222-1-1-1-12-12-1222200-222-1-1-211-1-1-2-211111122000-1-1-1-100-1-1-21100-20-20011-1-1001100000000
χ2322222-122-122-1-1222-1-1-1-12-12-1-2-2-2-200222-1-12-1-1-1-122-1-1-1-1-1-1-2-2000111100-1-12-1-100-20-2001111001100000000
χ2422222-122-122-1-1222-1-1-1-12-12-1-2-2-2-200-222-1-1-211-1-1-2-2111111-2-2000111100-1-1-2110020200-1-11100-1-100000000
χ2522222-122-122-1-12-2-2-1-1-1-12-12-12222002-2-211-2-1-1-1-1-2-2111111-2-2000-1-1-1-100112-1-10020-200-1-111001100000000
χ2622222-122-122-1-12-2-2-1-1-1-12-12-1222200-2-2-211211-1-122-1-1-1-1-1-1-2-2000-1-1-1-10011-21100-20200111100-1-100000000
χ2722222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-2-2002-2-211-2-1-1-1-1-2-211111122000111100112-1-100-2020011-1-100-1-100000000
χ2822222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-2-200-2-2-211211-1-122-1-1-1-1-1-12200011110011-2110020-200-1-1-1-1001100000000
χ292222-12222-1-122-122-1-1-1-1-12-120000222-1-122222-1-1-1-122-1-1-1-1002220000-1-1-1-1-1-1-1000202-10000-1-100-1-1000-100
χ302222-12222-1-122-122-1-1-1-1-12-12000022-2-1-122-2-2-2-1-111-2-21111002220000-1-1-1-1111000-20-2-10000-1-10011000100
χ312222-12222-1-122-122-1-1-1-1-12-120000-2-22-1-122222-1-1-1-122-1-1-1-100-2-2-2000011-1-1-1-1-1000-20-210000110011000100
χ322222-12222-1-122-122-1-1-1-1-12-120000-2-2-2-1-122-2-2-2-1-111-2-2111100-2-2-2000011-1-1111000202100001100-1-1000-100
χ332222-12222-1-122-1-2-2-1-1-1-1-12-12000022211-2-2-222-1-111-2-21111002-2-20000-1-111-1-1-100020-2-10000110011000-100
χ342222-12222-1-122-1-2-2-1-1-1-1-12-12000022-211-2-22-2-2-1-1-1-122-1-1-1-1002-2-20000-1-111111000-202-100001100-1-1000100
χ352222-12222-1-122-1-2-2-1-1-1-1-12-120000-2-2211-2-2-222-1-111-2-2111100-22200001111-1-1-1000-20210000-1-100-1-1000100
χ362222-12222-1-122-1-2-2-1-1-1-1-12-120000-2-2-211-2-22-2-2-1-1-1-122-1-1-1-100-2220000111111100020-210000-1-10011000-100
χ3722-2-2222-2-22-2-22-22-22-22-222-2-22-22-20002-22-20002-2000000002-20002-22-2002-20000000000002-2000000000000
χ3822-2-2222-2-22-2-22-22-22-22-222-2-2-22-220002-22-20002-200000000-22000-22-22002-2000000000000-22000000000000
χ3922-2-2222-2-22-2-22-2-222-22-222-2-22-22-2000-22-220002-200000000-220002-22-200-22000000000000-22000000000000
χ4022-2-2222-2-22-2-22-2-222-22-222-2-2-22-22000-22-220002-2000000002-2000-22-2200-220000000000002-2000000000000
χ4122-2-222-22-22-2-22-2002-22-2-2-2222-2-220000000000-22000000000002i−2i2-2-220000000000000000002i−2i00002i−2i0000
χ4222-2-222-22-22-2-22-2002-22-2-2-2222-2-220000000000-2200000000000−2i2i2-2-22000000000000000000−2i2i0000−2i2i0000
χ4322-2-222-22-22-2-22-2002-22-2-2-222-222-20000000000-22000000000002i−2i-222-20000000000000000002i−2i0000−2i2i0000
χ4422-2-222-22-22-2-22-2002-22-2-2-222-222-20000000000-2200000000000−2i2i-222-2000000000000000000−2i2i00002i−2i0000
χ4522-2-22-12-212-21-1-22-2-11-112-1-212-22-20002-2-1103−3-11003−333−3−32-2000-11-1100-1103−300000003−3-11003−300000000
χ4622-2-22-12-212-21-1-22-2-11-112-1-212-22-20002-2-110−33-1100−33−3−3332-2000-11-1100-110−330000000−33-1100−3300000000
χ4722-2-22-12-212-21-1-22-2-11-112-1-21-22-220002-2-1103−3-11003−333−3−3-220001-11-100-1103−30000000−331-100−3300000000
χ4822-2-22-12-212-21-1-22-2-11-112-1-21-22-220002-2-110−33-1100−33−3−333-220001-11-100-110−3300000003−31-1003−300000000
χ4922-2-22-12-212-21-1-2-22-11-112-1-212-22-2000-221-103−3-1100−33−3−333-22000-11-11001-103−300000003−31-100−3300000000
χ5022-2-22-12-212-21-1-2-22-11-112-1-212-22-2000-221-10−33-11003−333−3−3-22000-11-11001-10−330000000−331-1003−300000000
χ5122-2-22-12-212-21-1-2-22-11-112-1-21-22-22000-221-103−3-1100−33−3−3332-20001-11-1001-103−30000000−33-11003−300000000
χ5222-2-22-12-212-21-1-2-22-11-112-1-21-22-22000-221-10−33-11003−333−3−32-20001-11-1001-10−3300000003−3-1100−3300000000
χ5344444-2-4-4-244-2-2400-2-2-2-2-42-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-4-244-2-2400-2-2-2-2-42-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-44-2-244-200-2-2-2-22-42-400004400000000220000000000-4000000-2-20000000000020000000000000000
χ564444-24-4-44-2-244-200-2-2-2-22-42-40000-4-40000000022000000000040000002200000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-44-2-4424-42-2-400-22-22-424-24-4-4400000000002-20000000000000-222-2000000000000000000000000000000
χ6244-4-44-2-4424-42-2-400-22-22-424-2-444-400000000002-200000000000002-2-22000000000000000000000000000000
χ6344-4-4-244-4-4-22-4424-4-22-22-242-40000000-224-4000-220000000000000000000-2200000000000000000000000000
χ6444-4-4-244-4-4-22-442-44-22-22-242-400000002-2-44000-2200000000000000000002-200000000000000000000000000
χ6544-4-4-24-44-4-22-44200-22-222-4-24000000000000002-2000000000004i−4i0000000000000000000000−2i2i0000000000
χ6644-4-4-24-44-4-22-44200-22-222-4-24000000000000002-200000000000−4i4i00000000000000000000002i−2i0000000000
χ6744-4-4-2-24-42-222-224-41-11-1-2-2220000000-22-22023−231-10023−23−3−333000000000001-10−3300000000000000000000000
χ6844-4-4-2-24-42-222-224-41-11-1-2-2220000000-22-220−23231-100−232333−3−3000000000001-103−300000000000000000000000
χ6944-4-4-2-24-42-222-22-441-11-1-2-22200000002-22-2023−231-100−232333−3−300000000000-110−3300000000000000000000000
χ7044-4-4-2-24-42-222-22-441-11-1-2-22200000002-22-20−23231-10023−23−3−33300000000000-1103−300000000000000000000000
χ714-44-444004-44-4-4-40044-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ724-44-444004-44-4-4-40044-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ734-4-444400-4-4-44-44004-4-44000000004-40000000000000000000000000004-40000000000000000000000000000
χ744-4-444400-4-4-44-44004-4-4400000000-44000000000000000000000000000-440000000000000000000000000000
χ754-4-44-2400-4224-4-200-222-2000000004-40000000000i6−i600i6−i6i6−i6000000000-2200000000000000000000i6−i6000000
χ764-4-44-2400-4224-4-200-222-2000000004-40000000000−i6i600−i6i6−i6i6000000000-2200000000000000000000−i6i6000000
χ774-4-44-2400-4224-4-200-222-200000000-440000000000i6−i600i6−i6i6−i60000000002-200000000000000000000−i6i6000000
χ784-4-44-2400-4224-4-200-222-200000000-440000000000−i6i600−i6i6−i6i60000000002-200000000000000000000i6−i6000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-444-44002-22-244-4-400000000000000-2200000000000000000000000000000000000000000000000
χ818-88-88-400-4-8844-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-480084-4-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-44-44440022-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ848-88-8-4-400-44-44440022-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ858-8-888-4004-8-8-44800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4002-2-22000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4002-2-2200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000

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