Finite Group Databasebeta

← Group #11864643

Character table — Group #11864643

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212122244481212121212121212242424242424242422222466881212121212121212122466666812122424242422248864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111111-1111-1-1-1111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-111111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-111-1-111111111-1-1-1111-1-1-111-1-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-11-1-1111111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1-11-1-111-1-11111-1-111-1-111-1-1
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-111-1-1-1-11-111-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-111-11-1-1-1-11111-1-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-11111-11-1-11111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-111-1-111-1-1-1-11111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1111-1-11-11111-1-111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000002-22200-2-2-2-2000000000002000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000000000-222200-2-22200000000000-20000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000002-2-2-20022-2-20000000000020000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000000000-22-2-200222200000000000-2000000000-220000
χ2122222-1222-1-12-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-1002222002200-1-1-1-1-1-1-12000-1-1-1000-1-100000000-10
χ2222222-1222-1-12-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-100-2-2-2-200-2-20011-1-1-1-1-1-2000111000110000000010
χ2322222-1222-1-12-12-122-1-1-12-1-120000-2-222-1-1-2-2-1-111-2-2111100222200-2-200-1-1111-1-1-2000-1-1-1000110000000010
χ2422222-1222-1-12-12-122-1-1-12-1-120000-2-222-1-1-2-2-1-111-2-2111100-2-2-2-200220011111-1-12000111000-1-100000000-10
χ2522222-1222-1-12-12-1-2-2-1-1-12-1-1200002-2-2-21122-1-111-2-211110022-2-200220011-1-1-111-2000-1-11000-1-10000000010
χ2622222-1222-1-12-12-1-2-2-1-1-12-1-1200002-2-2-21122-1-111-2-2111100-2-22200-2-200-1-1-1-1-111200011-10001100000000-10
χ2722222-1222-1-12-12-1-2-2-1-1-12-1-120000-22-2-211-2-2-1-1-1-122-1-1-1-10022-2-200-2-20011111112000-1-110001100000000-10
χ2822222-1222-1-12-12-1-2-2-1-1-12-1-120000-22-2-211-2-2-1-1-1-122-1-1-1-100-2-222002200-1-111111-200011-1000-1-10000000010
χ292222-1222-122-12-1-122-1-1-1-122-1222222-1-122-1-1-1-122-1-1-1-1-1-1220000-1-100-1-1002-1-1-1-102-1-10002-1-100-1-100000000
χ302222-1222-122-12-1-122-1-1-1-122-12222-2-2-1-12211-1-1-2-2111111220000-1-100-1-100-211-1-10-2-1-1000-211001100000000
χ312222-1222-122-12-1-122-1-1-1-122-1-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-1-2-20000110011002-1-1-1-10-211000-211001100000000
χ322222-1222-122-12-1-122-1-1-1-122-1-2-2-2-2-2-2-1-12211-1-1-2-2111111-2-2000011001100-211-1-102110002-1-100-1-100000000
χ332222-1222-122-12-1-1-2-2-1-1-1-122-122222-211-2-2-1-1-1-1-2-2111111-2-20000-1-100-1-1002-1-1110211000-2-1-1001100000000
χ342222-1222-122-12-1-1-2-2-1-1-1-122-12222-2211-2-211-1-122-1-1-1-1-1-1-2-20000-1-100-1-100-211110-21100021100-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-1-122-1-2-2-2-22-211-2-2-1-1-1-1-2-2111111220000110011002-1-1110-2-1-100021100-1-100000000
χ362222-1222-122-12-1-1-2-2-1-1-1-122-1-2-2-2-2-2211-2-211-1-122-1-1-1-1-1-122000011001100-2111102-1-1000-2-1-1001100000000
χ372-2-22222-2-2-2-222-2200-2-22-22-222-22-200000000-2200000000002-2002-2002-2000000000002-2000000002-2000000
χ382-2-22222-2-2-2-222-2200-2-22-22-222-22-200000000-220000000000-22002-2002-200000000000-2200000000-22000000
χ392-2-22222-2-2-2-222-2200-2-22-22-22-22-2200000000-2200000000002-200-2200-22000000000002-200000000-22000000
χ402-2-22222-2-2-2-222-2200-2-22-22-22-22-2200000000-220000000000-2200-2200-2200000000000-22000000002-2000000
χ412-2-2222-22-2-2-222-222-2-2-222-22-22-2-22002-22-2002-2000000002-200002-200-22000002-2002-2000000000000000000
χ422-2-2222-22-2-2-222-222-2-2-222-22-2-222-2002-22-2002-200000000-220000-22002-2000002-200-22000000000000000000
χ432-2-2222-22-2-2-222-22-22-2-222-22-22-2-2200-22-22002-200000000-2200002-200-2200000-2200-22000000000000000000
χ442-2-2222-22-2-2-222-22-22-2-222-22-2-222-200-22-22002-2000000002-20000-22002-200000-22002-2000000000000000000
χ452-2-22-12-221-2-2-121-12-211-1-1-2212-2-2200-112-23−3-11003−333−3−32-20000-11001-10003−3-1100-1100003−3003−300000000
χ462-2-22-12-221-2-2-121-12-211-1-1-2212-2-2200-112-2−33-1100−33−3−3332-20000-11001-1000−33-1100-110000−3300−3300000000
χ472-2-22-12-221-2-2-121-12-211-1-1-221-222-200-112-23−3-11003−333−3−3-2200001-100-110003−3-11001-10000−3300−3300000000
χ482-2-22-12-221-2-2-121-12-211-1-1-221-222-200-112-2−33-1100−33−3−333-2200001-100-11000−33-11001-100003−3003−300000000
χ492-2-22-12-221-2-2-121-1-2211-1-1-2212-2-22001-1-223−3-1100−33−3−333-220000-11001-10003−31-1001-100003−300−3300000000
χ502-2-22-12-221-2-2-121-1-2211-1-1-2212-2-22001-1-22−33-11003−333−3−3-220000-11001-1000−331-1001-10000−33003−300000000
χ512-2-22-12-221-2-2-121-1-2211-1-1-221-222-2001-1-223−3-1100−33−3−3332-200001-100-110003−31-100-110000−33003−300000000
χ522-2-22-12-221-2-2-121-1-2211-1-1-221-222-2001-1-22−33-11003−333−3−32-200001-100-11000−331-100-1100003−300−3300000000
χ5344444-2-4-44-2-24-24-200-2-2-2-422-4000000000000220000000000004-40000002200000000000-2000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2-422-400000000000022000000000000-44000000-2-2000000000002000000000000000
χ554444-24-4-4-244-24-2-200-2-2-22-4-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-22-4-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-4440044-4-4-4-44004-4-40000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ6244-4-4440044-4-4-4-44004-4-400000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ6344-4-44-2004-22-42-4-200-222000000000000000000i6−i600i6−i6i6−i600000000−2i22i20023−23000000000000000i2−i20000000000
χ6444-4-44-2004-22-42-4-200-222000000000000000000i6−i600i6−i6i6−i6000000002i2−2i200−2323000000000000000−i2i20000000000
χ6544-4-44-2004-22-42-4-200-222000000000000000000−i6i600−i6i6−i6i600000000−2i22i200−2323000000000000000i2−i20000000000
χ6644-4-44-2004-22-42-4-200-222000000000000000000−i6i600−i6i6−i6i6000000002i2−2i20023−23000000000000000−i2i20000000000
χ674-44-44400-4-44-4-44400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ684-44-44400-4-44-4-44400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ694-4-444-24-4-4224-2-4-20022-2-4-2240000000000002-200000000004-40000000000000000000-220000000000000000
χ704-4-444-24-4-4224-2-4-20022-2-4-2240000000000002-20000000000-4400000000000000000002-20000000000000000
χ714-4-444-2-44-4224-2-4-24-422-242-2-40000004-4-2200-220000000000000000000000000-220000000000000000000000
χ724-4-444-2-44-4224-2-4-2-4422-242-2-4000000-442-200-2200000000000000000000000002-20000000000000000000000
χ734-4-44-244-42-4-4-242-20022-224-4-24-44-4000000002-200000000000000-2200-2200000000000000000000000000000
χ744-4-44-244-42-4-4-242-20022-224-4-2-44-44000000002-2000000000000002-2002-200000000000000000000000000000
χ754-4-44-2-2-44222-2-2214-4-1-11-22-22000000-22-2223−231-10023−23−3−333000000000000000−331-10000000000000000000000
χ764-4-44-2-2-44222-2-2214-4-1-11-22-22000000-22-22−23231-100−232333−3−30000000000000003−31-10000000000000000000000
χ774-4-44-2-2-44222-2-221-44-1-11-22-220000002-22-223−231-100−232333−3−3000000000000000−33-110000000000000000000000
χ784-4-44-2-2-44222-2-221-44-1-11-22-220000002-22-2−23231-10023−23−3−3330000000000000003−3-110000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-48-84-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ838-88-88-400-84-4-848-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-884-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-444-4200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-40044-444-4200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-48-8444-4-44200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000

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