Finite Group Databasebeta

← Group #11864156

Character table — Group #11864156

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424222226612121212121212121222246666688121224242424444628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111111-1-1-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-111111111111111111111-1-1-11111-1-111111-1-1-1111-1-1-11-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-11-111-1-1-1-11-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1111-1-1-1-11111111-1-11-1-1-1111-11-1-111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-11-1-11111-111-1-111-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-11-1-1-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-11-1-111-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-11-1-1-111-111111-1-1-111-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-11111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-11-1111-1-11-1-1-1-1-111-1111-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-111-11111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-20022-2-22200000-2-20000-20000000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-20000022000020000000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000220000-20000000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-200000-2-2000020000000000200000
χ2122222-1222-1-12-12-122-1-1-12-1-120000222222-1-122-1-1-1-122-1-1-1-1002220000-1-1-1-1-1-1-1002000-1-1-10200-1-100000-100
χ2222222-1222-1-12-12-122-1-1-12-1-12000022-2-222-1-1-2-2-1-111-2-21111002220000-1-1111-1-100-2000-1-1-10-2001100000100
χ2322222-1222-1-12-12-122-1-1-12-1-120000-2-22222-1-122-1-1-1-122-1-1-1-100-2-2-2000011-1-1-1-1-100-20001110-2001100000100
χ2422222-1222-1-12-12-122-1-1-12-1-120000-2-2-2-222-1-1-2-2-1-111-2-2111100-2-2-2000011111-1-10020001110200-1-100000-100
χ2522222-1222-1-12-12-1-2-2-1-1-12-1-120000222-2-2-21122-1-111-2-21111002-2-20000-1-1-1-1-111002000-1110-2001100000-100
χ2622222-1222-1-12-12-1-2-2-1-1-12-1-12000022-22-2-211-2-2-1-1-1-122-1-1-1-1002-2-20000-1-11111100-2000-1110200-1-100000100
χ2722222-1222-1-12-12-1-2-2-1-1-12-1-120000-2-22-2-2-21122-1-111-2-2111100-222000011-1-1-11100-20001-1-10200-1-100000100
χ2822222-1222-1-12-12-1-2-2-1-1-12-1-120000-2-2-22-2-211-2-2-1-1-1-122-1-1-1-100-222000011111110020001-1-10-2001100000-100
χ292222-1222-122-12-1-122-1-1-1-122-122220022-1-122-1-1-1-122-1-1-1-1-1-122000-1-1-1-1002-1-1-1-10002-1-100020-1-100-1-1000000
χ302222-1222-122-12-1-122-1-1-1-122-1222200-2-2-1-12211-1-1-2-211111122000-1-1-1-100-211-1-1000-2-1-1000-20110011000000
χ312222-1222-122-12-1-122-1-1-1-122-1-2-2-2-20022-1-122-1-1-1-122-1-1-1-1-1-1-2-20001111002-1-1-1-1000-211000-20110011000000
χ322222-1222-122-12-1-122-1-1-1-122-1-2-2-2-200-2-2-1-12211-1-1-2-2111111-2-2000111100-211-1-100021100020-1-100-1-1000000
χ332222-1222-122-12-1-1-2-2-1-1-1-122-12222002-211-2-2-1-1-1-1-2-2111111-2-2000-1-1-1-1002-1-111000211000-20-1-10011000000
χ342222-1222-122-12-1-1-2-2-1-1-1-122-1222200-2211-2-211-1-122-1-1-1-1-1-1-2-2000-1-1-1-100-21111000-211000201100-1-1000000
χ352222-1222-122-12-1-1-2-2-1-1-1-122-1-2-2-2-2002-211-2-2-1-1-1-1-2-2111111220001111002-1-111000-2-1-1000201100-1-1000000
χ362222-1222-122-12-1-1-2-2-1-1-1-122-1-2-2-2-200-2211-2-211-1-122-1-1-1-1-1-122000111100-211110002-1-1000-20-1-10011000000
χ372-2-22222-2-2-2-222-2200-2-22-22-222-22-20000000000-22000000000002-22-22-2000000000000002-20000000002-2000
χ382-2-22222-2-2-2-222-2200-2-22-22-222-22-20000000000-2200000000000-222-22-200000000000000-22000000000-22000
χ392-2-22222-2-2-2-222-2200-2-22-22-22-22-220000000000-22000000000002-2-22-22000000000000002-2000000000-22000
χ402-2-22222-2-2-2-222-2200-2-22-22-22-22-220000000000-2200000000000-22-22-2200000000000000-220000000002-2000
χ412-2-2222-22-2-2-222-222-2-2-222-22-22-2-2200002-22-2002-2000000002-20002-2-22000002-200002-200000000000000000
χ422-2-2222-22-2-2-222-222-2-2-222-22-2-222-200002-22-2002-200000000-22000-222-2000002-20000-2200000000000000000
χ432-2-2222-22-2-2-222-22-22-2-222-22-22-2-220000-22-22002-200000000-220002-2-2200000-220000-2200000000000000000
χ442-2-2222-22-2-2-222-22-22-2-222-22-2-222-20000-22-22002-2000000002-2000-222-200000-2200002-200000000000000000
χ452-2-22-12-221-2-2-121-12-211-1-1-2212-2-220000-112-23−3-11003−333−3−32-2000-111-10003−3-110000-11000003−3003−3000000
χ462-2-22-12-221-2-2-121-12-211-1-1-2212-2-220000-112-2−33-1100−33−3−3332-2000-111-1000−33-110000-1100000−3300−33000000
χ472-2-22-12-221-2-2-121-12-211-1-1-221-222-20000-112-23−3-11003−333−3−3-220001-1-110003−3-1100001-100000−3300−33000000
χ482-2-22-12-221-2-2-121-12-211-1-1-221-222-20000-112-2−33-1100−33−3−333-220001-1-11000−33-1100001-1000003−3003−3000000
χ492-2-22-12-221-2-2-121-1-2211-1-1-2212-2-2200001-1-223−3-1100−33−3−333-22000-111-10003−31-100001-1000003−300−33000000
χ502-2-22-12-221-2-2-121-1-2211-1-1-2212-2-2200001-1-22−33-11003−333−3−3-22000-111-1000−331-100001-100000−33003−3000000
χ512-2-22-12-221-2-2-121-1-2211-1-1-221-222-200001-1-223−3-1100−33−3−3332-20001-1-110003−31-10000-1100000−33003−3000000
χ522-2-22-12-221-2-2-121-1-2211-1-1-221-222-200001-1-22−33-11003−333−3−32-20001-1-11000−331-10000-11000003−300−33000000
χ5344444-2-4-44-2-24-24-200-2-2-2-422-400004400000000220000000000-4000000-2-20000000000020000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2-422-40000-4-40000000022000000000040000002200000000000-20000000000000000
χ554444-24-4-4-244-24-2-200-2-2-22-4-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-22-4-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
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
χ6144-4-4440044-4-4-4-44004-4-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-4440044-4-4-4-44004-4-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-44-2004-22-42-4-200-222000000004i−4i0000000000i6−i600i6−i6i6−i6000000000−2i2i0000000000000000006−600000000
χ6444-4-44-2004-22-42-4-200-222000000004i−4i0000000000−i6i600−i6i6−i6i6000000000−2i2i000000000000000000−6600000000
χ6544-4-44-2004-22-42-4-200-22200000000−4i4i0000000000i6−i600i6−i6i6−i60000000002i−2i000000000000000000−6600000000
χ6644-4-44-2004-22-42-4-200-22200000000−4i4i0000000000−i6i600−i6i6−i6i60000000002i−2i0000000000000000006−600000000
χ674-44-44400-4-44-4-44400-44-4000000000000000000000000000000000000000000004-4000000000000000000000
χ684-44-44400-4-44-4-44400-44-400000000000000000000000000000000000000000000-44000000000000000000000
χ694-4-444-24-4-4224-2-4-20022-2-4-224000000000000002-2000000000004-4000000000000000000-2200000000000000
χ704-4-444-24-4-4224-2-4-20022-2-4-224000000000000002-200000000000-440000000000000000002-200000000000000
χ714-4-444-2-44-4224-2-4-24-422-242-2-4000000004-4-2200-220000000000000000000000-2200000000000000000000000
χ724-4-444-2-44-4224-2-4-2-4422-242-2-400000000-442-200-2200000000000000000000002-200000000000000000000000
χ734-4-44-244-42-4-4-242-20022-224-4-24-44-400000000002-20000000000000-22-22000000000000000000000000000000
χ744-4-44-244-42-4-4-242-20022-224-4-2-44-4400000000002-200000000000002-22-2000000000000000000000000000000
χ754-4-44-2-2-44222-2-2214-4-1-11-22-2200000000-22-2223−231-10023−23−3−333000000000000−331-100000000000000000000000
χ764-4-44-2-2-44222-2-2214-4-1-11-22-2200000000-22-22−23231-100−232333−3−30000000000003−31-100000000000000000000000
χ774-4-44-2-2-44222-2-221-44-1-11-22-22000000002-22-223−231-100−232333−3−3000000000000−33-1100000000000000000000000
χ784-4-44-2-2-44222-2-221-44-1-11-22-22000000002-22-2−23231-10023−23−3−3330000000000003−3-1100000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-48-84-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ838-88-88-400-84-4-848-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-884-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-444-4200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ868-88-8-4-40044-444-4200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ878-8-88-4-48-8444-4-44200-2-224-44-400000000000000-2200000000000000000000000000000000000000000000000

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