Finite Group Databasebeta

← Group #11864424

Character table — Group #11864424

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212224448121212121212121224242424242424242224446688121212121212121212246668121212122424242424448862
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-111-1-1-1-11111111-11-1-1-111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1111-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-11111-1-1111111-1111-1-1-1-1-111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-111-11111111-1-1-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1111-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1111-1-111-1-111-1-1-111-111-1-1
χ10111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111-1-111-1-11-111-1-1-1-1-1-11-1-11-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-111-11-1-1-1-1-1-111-111-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1
χ13111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-1111-1-1-1-111-11-1-11111111-1-11-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11-1-1-111-1-111-1-111-111-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-11-1111111-1-1-111-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-22200-2-2-2-20000000002000000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2002220022-2-2000000000-2000000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2-2-200-2-2220000000002000000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-2002222000000000-2000000000-20020000
χ2122222-122-12-12-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-12220020022-1-100-1-1-1-1-120-1-1-100000-1-100000000-10
χ2222222-122-12-12-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-1-2-2-200-200-2-21100-1-1-1-1-1-2011100000110000000010
χ2322222-122-12-12-12-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-2111122200200-2-2-1-100111-1-1-20-1-1-100000110000000010
χ2422222-122-12-12-12-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-21111-2-2-200-200221100111-1-12011100000-1-100000000-10
χ2522222-122-12-12-12-1-2-2-1-1-12-1-1200002-22211-2-2-1-111-2-2111122-200-200221100-1-1-111-20-1-1100000-1-10000000010
χ2622222-122-12-12-12-1-2-2-1-1-12-1-1200002-22211-2-2-1-111-2-21111-2-2200200-2-2-1-100-1-1-1112011-1000001100000000-10
χ2722222-122-12-12-12-1-2-2-1-1-12-1-120000-22-2-211-2-2-1-1-1-122-1-1-1-122-200-200-2-211001111120-1-11000001100000000-10
χ2822222-122-12-12-12-1-2-2-1-1-12-1-120000-22-2-211-2-2-1-1-1-122-1-1-1-1-2-220020022-1-10011111-2011-100000-1-10000000010
χ292222-12222-12-12-1-122-1-1-1-122-1222222-1-122-1-1-1-122-1-1-1-1-1-1000220-1-10000-1-12-1-1-1-1020002-1-1-1-100-1-100000000
χ302222-12222-12-12-1-122-1-1-1-122-12222-2-21122-1-1-1-1-2-2111111000220-1-10000-1-1-211-1-10-2000-211-1-1001100000000
χ312222-12222-12-12-1-122-1-1-1-122-1-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-1000-2-20110000112-1-1-1-10-2000-21111001100000000
χ322222-12222-12-12-1-122-1-1-1-122-1-2-2-2-2-2-21122-1-1-1-1-2-2111111000-2-2011000011-211-1-1020002-1-11100-1-100000000
χ332222-12222-12-12-1-1-2-2-1-1-1-122-122222-2-1-1-2-211-1-1-2-2111111000-2-20-1-10000-1-12-1-11102000-2-1-111001100000000
χ342222-12222-12-12-1-1-2-2-1-1-1-122-12222-2211-2-211-1-122-1-1-1-1-1-1000-2-20-1-10000-1-1-211110-20002111100-1-100000000
χ352222-12222-12-12-1-1-2-2-1-1-1-122-1-2-2-2-22-2-1-1-2-211-1-1-2-2111111000220110000112-1-1110-2000211-1-100-1-100000000
χ362222-12222-12-12-1-1-2-2-1-1-1-122-1-2-2-2-2-2211-2-211-1-122-1-1-1-1-1-100022011000011-2111102000-2-1-1-1-1001100000000
χ372-2-22222-2-2-2-2-222200-2-22-22-222-22-200000000-22000000002-200002-200002-200000002-2000000000002-200000
χ382-2-22222-2-2-2-2-222200-2-22-22-222-22-200000000-2200000000-2200002-200002-20000000-2200000000000-2200000
χ392-2-22222-2-2-2-2-222200-2-22-22-22-22-2200000000-22000000002-20000-220000-2200000002-200000000000-2200000
χ402-2-22222-2-2-2-2-222200-2-22-22-22-22-2200000000-2200000000-220000-220000-220000000-22000000000002-200000
χ412-2-2222-22-2-2-2-22222-2-2-222-22-22-2-2200002-22-22-2000000000002-202-20000-220002-2000000002-2000000000000
χ422-2-2222-22-2-2-2-22222-2-2-222-22-2-222-200002-22-22-200000000000-220-2200002-20002-200000000-22000000000000
χ432-2-2222-22-2-2-2-2222-22-2-222-22-22-2-220000-22-222-200000000000-2202-20000-22000-2200000000-22000000000000
χ442-2-2222-22-2-2-2-2222-22-2-222-22-2-222-20000-22-222-2000000000002-20-2200002-2000-22000000002-2000000000000
χ452-2-22-12-22-21-212-1-12-211-1-1-2212-2-22003−32-2-11-11003−333−3−30002-20-1100001-103−3-110000003−3-11003−300000000
χ462-2-22-12-22-21-212-1-12-211-1-1-2212-2-2200−332-2-11-1100−33−3−3330002-20-1100001-10−33-11000000−33-1100−3300000000
χ472-2-22-12-22-21-212-1-12-211-1-1-221-222-2003−32-2-11-11003−333−3−3000-2201-10000-1103−3-11000000−331-100−3300000000
χ482-2-22-12-22-21-212-1-12-211-1-1-221-222-200−332-2-11-1100−33−3−333000-2201-10000-110−33-110000003−31-1003−300000000
χ492-2-22-12-22-21-212-1-1-2211-1-1-2212-2-22003−3-221-1-1100−33−3−333000-220-1100001-103−31-10000003−31-100−3300000000
χ502-2-22-12-22-21-212-1-1-2211-1-1-2212-2-2200−33-221-1-11003−333−3−3000-220-1100001-10−331-1000000−331-1003−300000000
χ512-2-22-12-22-21-212-1-1-2211-1-1-221-222-2003−3-221-1-1100−33−3−3330002-201-10000-1103−31-1000000−33-11003−300000000
χ522-2-22-12-22-21-212-1-1-2211-1-1-221-222-200−33-221-1-11003−333−3−30002-201-10000-110−331-10000003−3-1100−3300000000
χ5344444-2-4-4-24-24-24-200-2-2-2-422-4000000000000220000000000400-400002200000000000-200000000000000000
χ5444444-2-4-4-24-24-24-200-2-2-2-422-4000000000000220000000000-40040000-2-200000000000200000000000000000
χ554444-24-4-44-24-24-2-200-2-2-22-4-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-44-24-24-2-200-2-2-22-4-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-422-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-4-2-22222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-444-4-4-4400-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-444004-4-44-4-44004-4-40000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ644-44-444004-4-44-4-44004-4-400000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ654-44-44-200-2-4242-4-200-222000000000000000000i6−i600i6−i6i6−i600000000−2i22i223−2300000000000000000i2−i20000000000
χ664-44-44-200-2-4242-4-200-222000000000000000000i6−i600i6−i6i6−i6000000002i2−2i2−232300000000000000000−i2i20000000000
χ674-44-44-200-2-4242-4-200-222000000000000000000−i6i600−i6i6−i6i600000000−2i22i2−232300000000000000000i2−i20000000000
χ684-44-44-200-2-4242-4-200-222000000000000000000−i6i600−i6i6−i6i6000000002i2−2i223−2300000000000000000−i2i20000000000
χ694-4-444-24-42-42-4-24-20022-2-4-2240000000000002-2000000004-40000000000000000000-22000000000000000000
χ704-4-444-24-42-42-4-24-20022-2-4-2240000000000002-200000000-4400000000000000000002-2000000000000000000
χ714-4-444-2-442-42-4-24-24-422-242-2-400000000-224-4-220000000000000000000000000-220000000000000000000000
χ724-4-444-2-442-42-4-24-2-4422-242-2-4000000002-2-44-2200000000000000000000000002-20000000000000000000000
χ734-4-44-244-4-42-424-2-20022-224-4-24-44-4000000002-200000000000000-220000-22000000000000000000000000000
χ744-4-44-244-4-42-424-2-20022-224-4-2-44-44000000002-2000000000000002-200002-2000000000000000000000000000
χ754-4-44-2-2-442222-2-214-4-1-11-22-2200000023−23-22-221-10023−23−3−333000000000000000−331-10000000000000000000000
χ764-4-44-2-2-442222-2-214-4-1-11-22-22000000−2323-22-221-100−232333−3−30000000000000003−31-10000000000000000000000
χ774-4-44-2-2-442222-2-21-44-1-11-22-2200000023−232-22-21-100−232333−3−3000000000000000−33-110000000000000000000000
χ784-4-44-2-2-442222-2-21-44-1-11-22-22000000−23232-22-21-10023−23−3−3330000000000000003−3-110000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-40048-4-84-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-8-484-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-4444200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-480084-8-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-444-4442002-2-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-400-444-4442002-2-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-4200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000

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