Finite Group Databasebeta

← Group #11864090

Character table — Group #11864090

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424222446612121212121212121244446668812121212242424242221228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1111-1-1-1-111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-1111111-1-111111-1-11-1-1-1-11-11111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-11111111-1-1-11111-11-1-1-1-111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11-11111-111-1-1-1-111-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-111111111-1-1
χ9111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-111111-1-1-1-111-1-1-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-1-1-111111-1-1-1-11
χ11111111111111111-1-111111111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-1-11-1-111-1111-1-111-1-1-111-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-11111111111-111-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-111-11111-1
χ13111111111111111-1-11111111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-111-1-11-1-1-111-1-111-1111-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-11-11-1-1-11111111-1-1-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-11111-1-11111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-200000000-2000022-2-222000002200-2000000000000-200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-200000-2-2002000000000000200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-200000000-20000-2-2222200000-2-200-2000000000000200000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000020000-2-222-2-20000022002000000000000-200000
χ2122222-122-12-122-1-122-1-1-12-1-12000022222222-1-1-1-1-1-122-1-1-1-1222000000-1-1-1-1-1-1-10002-1-1-1020000-1-100000-100
χ2222222-122-12-122-1-122-1-1-12-1-12000022-2-2-2-222-1-1-1-111-2-21111222000000-1-1111-1-1000-2-1-1-10-200001100000100
χ2322222-122-12-122-1-122-1-1-12-1-120000-2-2222222-1-1-1-1-1-122-1-1-1-1-2-2-200000011-1-1-1-1-1000-21110-200001100000100
χ2422222-122-12-122-1-122-1-1-12-1-120000-2-2-2-2-2-222-1-1-1-111-2-21111-2-2-200000011111-1-10002111020000-1-100000-100
χ2522222-122-12-122-1-1-2-2-1-1-12-1-120000222-222-2-211-1-111-2-211112-2-2000000-1-1-1-1-1110002-1110-200001100000-100
χ2622222-122-12-122-1-1-2-2-1-1-12-1-12000022-22-2-2-2-211-1-1-1-122-1-1-1-12-2-2000000-1-111111000-2-111020000-1-100000100
χ2722222-122-12-122-1-1-2-2-1-1-12-1-120000-2-22-222-2-211-1-111-2-21111-22200000011-1-1-111000-21-1-1020000-1-100000100
χ2822222-122-12-122-1-1-2-2-1-1-12-1-120000-2-2-22-2-2-2-211-1-1-1-122-1-1-1-1-222000000111111100021-1-10-200001100000-100
χ292222-12222-12-1-12-122-1-1-1-122-122220022-1-1-1-122-1-122-1-1-1-1-1-100022-1-1-1-1002-1-1-1-1002000020-1-1-1-100-1-1000000
χ302222-12222-12-1-12-122-1-1-1-122-1222200-2-211-1-122-1-1-2-211111100022-1-1-1-100-211-1-100-20000-2011-1-10011000000
χ312222-12222-12-1-12-122-1-1-1-122-1-2-2-2-20022-1-1-1-122-1-122-1-1-1-1-1-1000-2-21111002-1-1-1-100-20000-2011110011000000
χ322222-12222-12-1-12-122-1-1-1-122-1-2-2-2-200-2-211-1-122-1-1-2-2111111000-2-2111100-211-1-1002000020-1-11100-1-1000000
χ332222-12222-12-1-12-1-2-2-1-1-1-122-12222002-2-1-111-2-2-1-1-2-2111111000-2-2-1-1-1-1002-1-1110020000-20-1-1110011000000
χ342222-12222-12-1-12-1-2-2-1-1-1-122-1222200-221111-2-2-1-122-1-1-1-1-1-1000-2-2-1-1-1-100-2111100-2000020111100-1-1000000
χ352222-12222-12-1-12-1-2-2-1-1-1-122-1-2-2-2-2002-2-1-111-2-2-1-1-2-2111111000221111002-1-11100-200002011-1-100-1-1000000
χ362222-12222-12-1-12-1-2-2-1-1-1-122-1-2-2-2-200-221111-2-2-1-122-1-1-1-1-1-100022111100-211110020000-20-1-1-1-10011000000
χ372-2-22222-2-2-2-2-222200-2-22-22-222-22-20000000000-220000000002-2002-22-20000000000002-2000000000002-2000
χ382-2-22222-2-2-2-2-222200-2-22-22-222-22-20000000000-22000000000-22002-22-2000000000000-2200000000000-22000
χ392-2-22222-2-2-2-2-222200-2-22-22-22-22-220000000000-220000000002-200-22-220000000000002-200000000000-22000
χ402-2-22222-2-2-2-2-222200-2-22-22-22-22-220000000000-22000000000-2200-22-22000000000000-22000000000002-2000
χ412-2-2222-22-2-2-2-22222-2-2-222-22-22-2-220000002-22-22-2000000000002-22-2-22000002-2000000000002-20000000000
χ422-2-2222-22-2-2-2-22222-2-2-222-22-2-222-20000002-22-22-200000000000-22-222-2000002-200000000000-220000000000
χ432-2-2222-22-2-2-2-2222-22-2-222-22-22-2-22000000-22-222-200000000000-222-2-2200000-2200000000000-220000000000
χ442-2-2222-22-2-2-2-2222-22-2-222-22-2-222-2000000-22-222-2000000000002-2-222-200000-22000000000002-20000000000
χ452-2-22-12-22-21-21-12-12-211-1-1-2212-2-2200003−3-112-2-11003−333−3−30002-2-111-10003−3-110000000003−3-11003−3000000
χ462-2-22-12-22-21-21-12-12-211-1-1-2212-2-220000−33-112-2-1100−33−3−3330002-2-111-1000−33-11000000000−33-1100−33000000
χ472-2-22-12-22-21-21-12-12-211-1-1-221-222-200003−3-112-2-11003−333−3−3000-221-1-110003−3-11000000000−331-100−33000000
χ482-2-22-12-22-21-21-12-12-211-1-1-221-222-20000−33-112-2-1100−33−3−333000-221-1-11000−33-110000000003−31-1003−3000000
χ492-2-22-12-22-21-21-12-1-2211-1-1-2212-2-2200003−31-1-22-1100−33−3−333000-22-111-10003−31-10000000003−31-100−33000000
χ502-2-22-12-22-21-21-12-1-2211-1-1-2212-2-220000−331-1-22-11003−333−3−3000-22-111-1000−331-1000000000−331-1003−3000000
χ512-2-22-12-22-21-21-12-1-2211-1-1-221-222-200003−31-1-22-1100−33−3−3330002-21-1-110003−31-1000000000−33-11003−3000000
χ522-2-22-12-22-21-21-12-1-2211-1-1-221-222-20000−331-1-22-11003−333−3−30002-21-1-11000−331-10000000003−3-1100−33000000
χ5344444-2-4-4-24-244-2-200-2-2-2-422-4000044000000002200000000-400000000-2-20000000002000000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-2-422-40000-4-400000000220000000040000000022000000000-2000000000000000000
χ554444-24-4-44-24-2-24-200-2-2-22-4-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-22-4-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-422-2-2-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
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
χ6144-4-44400-444-4-4-4400-44-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-44400-444-4-4-4400-44-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-44-20024-2-4-42-2002-22000000004i−4i00000000006−6006−66−6000000000−2i2i000000000000000000i6−i600000000
χ6444-4-44-20024-2-4-42-2002-22000000004i−4i0000000000−6600−66−66000000000−2i2i000000000000000000−i6i600000000
χ6544-4-44-20024-2-4-42-2002-2200000000−4i4i00000000006−6006−66−60000000002i−2i000000000000000000−i6i600000000
χ6644-4-44-20024-2-4-42-2002-2200000000−4i4i0000000000−6600−66−660000000002i−2i000000000000000000i6−i600000000
χ674-44-444004-4-44-4-44004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ684-44-444004-4-44-4-44004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ694-4-444-24-42-42-44-2-20022-2-4-224000000000000002-20000000004-4000000000000000000-220000000000000000
χ704-4-444-24-42-42-44-2-20022-2-4-224000000000000002-2000000000-440000000000000000002-20000000000000000
χ714-4-444-2-442-42-44-2-24-422-242-2-400000000004-4-22-220000000000000000000000-2200000000000000000000000
χ724-4-444-2-442-42-44-2-2-4422-242-2-40000000000-442-2-2200000000000000000000002-200000000000000000000000
χ734-4-44-244-4-42-42-24-20022-224-4-24-44-400000000002-20000000000000-22-22000000000000000000000000000000
χ744-4-44-244-4-42-42-24-20022-224-4-2-44-4400000000002-200000000000002-22-2000000000000000000000000000000
χ754-4-44-2-2-442222-2-214-4-1-11-22-220000000023−23-22-221-10023−23−3−333000000000000−331-100000000000000000000000
χ764-4-44-2-2-442222-2-214-4-1-11-22-2200000000−2323-22-221-100−232333−3−30000000000003−31-100000000000000000000000
χ774-4-44-2-2-442222-2-21-44-1-11-22-220000000023−232-22-21-100−232333−3−3000000000000−33-1100000000000000000000000
χ784-4-44-2-2-442222-2-21-44-1-11-22-2200000000−23232-22-21-10023−23−3−3330000000000003−3-1100000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-4444200-22-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ838-88-88-400-4-848-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-480084-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-444-4442002-2-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ868-88-8-4-400-444-4442002-2-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-4200-2-224-44-400000000000000-2200000000000000000000000000000000000000000000000

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