Finite Group Databasebeta

← Group #11863568

Character table — Group #11863568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order12222233446666663466666661212121244661212121212122222222222228888888812121212121212122244666666662424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1
χ511111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-11-1
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-1
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111-11
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-11
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-11
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-11
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-2222200000000000000000000000022-2-20000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2220000000000000000200
χ192222222-1222-12-12-1-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-1000000002222000022222-12-1-1-1-1-100000000-1-1-1-10000-1-1-1-1000
χ202222222-1222-12-12-1-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-100000000-2-2-2-20000-2-2-2-22-12-1-1-1-1-100000000111100001111000
χ212222222-1222-12-12-1-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-10000000022220000-2-2-2-2-21-21111100000000-1-1-1-100001111000
χ222222222-1222-12-12-1-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-100000000-2-2-2-200002222-21-2111110000000011110000-1-1-1-1000
χ23222222-1222-12-12-12-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-100002222000022220000-12-12-1-1-1-10000-1-1-1-10000-1-1-1-10000000
χ24222222-1222-12-12-12-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-10000-2-2-2-20000-2-2-2-20000-12-12-1-1-1-100001111000011110000000
χ25222222-1222-12-12-12-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-1000022220000-2-2-2-200001-21-211110000-1-1-1-1000011110000000
χ26222222-1222-12-12-12-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-10000-2-2-2-20000222200001-21-21111000011110000-1-1-1-10000000
χ272222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-2222222000000000000000000000000-2-2-2-20000000000000000200
χ282222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-222-2-2-2-200000000000000000000000022220000000000000000-200
χ292222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-12-211-21-1-1110000000022-2-2000022-2-22-1-21-1-11100000000-1-1110000-1-111000
χ302222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-12-211-21-1-11100000000-2-2220000-2-2222-1-21-1-1110000000011-1-1000011-1-1000
χ312222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-1-2211-21-1-1110000000022-2-20000-2-222-212-111-1-100000000-1-111000011-1-1000
χ322222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-1-2211-21-1-11100000000-2-222000022-2-2-212-111-1-10000000011-1-10000-1-111000
χ332222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-1222-2111-2-1-111000022-2-2000022-2-20000-121-2-1-1110000-1-1110000-1-1110000000
χ342222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-1222-2111-2-1-1110000-2-2220000-2-2220000-121-2-1-111000011-1-1000011-1-10000000
χ352222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-122-22111-2-1-111000022-2-20000-2-22200001-2-1211-1-10000-1-111000011-1-10000000
χ362222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-122-22111-2-1-1110000-2-222000022-2-200001-2-1211-1-1000011-1-10000-1-1110000000
χ3722-2-22-2220022-2-2-2-2202-22-22-2-20000002-200000022-2-200000000i2−i2i2−i2i2−i2i2−i2000000002-20000000000i2−i2i2−i2i2−i2i2−i2000
χ3822-2-22-2220022-2-2-2-2202-22-22-2-20000002-200000022-2-200000000−i2i2−i2i2−i2i2−i2i2000000002-20000000000−i2i2−i2i2−i2i2−i2i2000
χ3922-2-22-2220022-2-2-2-2202-22-22-2-20000002-2000000-2-22200000000i2−i2i2−i2−i2i2−i2i200000000-220000000000i2−i2i2−i2−i2i2−i2i2000
χ4022-2-22-2220022-2-2-2-2202-22-22-2-20000002-2000000-2-22200000000−i2i2−i2i2i2−i2i2−i200000000-220000000000−i2i2−i2i2i2−i2i2−i2000
χ4122-2-2-22220022-2-2-2-220-22-222-2-2000000-2200000022-2-200000000i2−i2−i2i2i2−i2−i2i200000000-220000000000i2−i2−i2i2i2−i2−i2i2000
χ4222-2-2-22220022-2-2-2-220-22-222-2-2000000-2200000022-2-200000000−i2i2i2−i2−i2i2i2−i200000000-220000000000−i2i2i2−i2−i2i2i2−i2000
χ4322-2-2-22220022-2-2-2-220-22-222-2-2000000-22000000-2-22200000000i2−i2−i2i2−i2i2i2−i2000000002-20000000000i2−i2−i2i2−i2i2i2−i2000
χ4422-2-2-22220022-2-2-2-220-22-222-2-2000000-22000000-2-22200000000−i2i2i2−i2i2−i2−i2i2000000002-20000000000−i2i2i2−i2i2−i2−i2i2000
χ452-2-2200222-2-2-2-2-222200000-2-222-22-20000002-2002-22-2002-2002-20000000000000000002-2002-2002-200000000000
χ462-2-2200222-2-2-2-2-222200000-2-222-22-20000002-2002-22-200-2200-220000000000000000002-200-2200-2200000000000
χ472-2-2200222-2-2-2-2-222200000-2-222-22-20000002-200-22-22002-200-22000000000000000000-22002-200-2200000000000
χ482-2-2200222-2-2-2-2-222200000-2-222-22-20000002-200-22-2200-22002-2000000000000000000-2200-22002-200000000000
χ492-2-220022-22-2-2-2-222200000-2-22-22-22000000-22002-22-22-2002-200000000000000000000-222-2002-20000000000000
χ502-2-220022-22-2-2-2-222200000-2-22-22-22000000-22002-22-2-2200-2200000000000000000000-22-2200-220000000000000
χ512-2-220022-22-2-2-2-222200000-2-22-22-22000000-2200-22-222-200-22000000000000000000002-22-200-220000000000000
χ522-2-220022-22-2-2-2-222200000-2-22-22-22000000-2200-22-22-22002-2000000000000000000002-2-22002-20000000000000
χ534444444-2-4-44-24-24-2-2-444-2-2-2-2-2-4-42200-2-2-422222000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-24-24-2-4-2-244-2-2-222-4-400-2-22-42222000000000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2111100000000000000000000-2-2-2-2111100000000000000000000000
χ56444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-411-2-21111000000000000000000002222-1-1-1-100000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-10000000000000000000000003-33-300000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-1000000000000000000000000-33-3300000000000000000000000
χ594444-4-44-2-4-44-24-24-2-24-4-422-2-2-2-4-42200224-222-2-2000000000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-24-24-24-2422-4-4-2-2-222-4-40022-2422-2-2000000000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12211-1-100000000000000000000-2-22211-1-100000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12211-1-10000000000000000000022-2-2-1-11100000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-1110000000000000000000000003-3-3300000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-111000000000000000000000000-333-300000000000000000000000
χ6544-4-44-44-2004-2-42-42-204-4-22-222000000-2200000000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i2000
χ6644-4-44-44-2004-2-42-42-204-4-22-222000000-220000000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i2000
χ6744-4-44-4-2400-242-42-4-20-224-4-222000000-220000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000000
χ6844-4-44-4-2400-242-42-4-20-224-4-222000000-22000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000000
χ6944-4-4-444-2004-2-42-42-20-442-2-2220000002-200000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000
χ7044-4-4-444-2004-2-42-42-20-442-2-2220000002-20000000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000
χ7144-4-4-44-2400-242-42-4-202-2-44-2220000002-20000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000000
χ7244-4-4-44-2400-242-42-4-202-2-44-2220000002-2000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000000
χ734-44-4004400-4-444-4-4400000-44-4000000000000004-4-4400000000000000000000000000000000000000000000000
χ744-44-4004400-4-444-4-4400000-44-400000000000000-444-400000000000000000000000000000000000000000000000
χ754-4-44004-24-4-42-424-2-20000022-24-4-22000000-220000000000004-400000000000000000000000000-2200000000000
χ764-4-44004-24-4-42-424-2-20000022-24-4-22000000-22000000000000-44000000000000000000000000002-200000000000
χ774-4-44004-2-44-42-424-2-20000022-2-442-20000002-200000000004-400000000000000000000000000-220000000000000
χ784-4-44004-2-44-42-424-2-20000022-2-442-20000002-20000000000-44000000000000000000000000002-20000000000000
χ794-4-4400-244-42-42-4-24-20000022-2-224-4000000-22000000004-400000000000000000000000000-22000000000000000
χ804-4-4400-244-42-42-4-24-20000022-2-224-4000000-2200000000-44000000000000000000000000002-2000000000000000
χ814-4-4400-24-442-42-4-24-20000022-22-2-440000002-20000004-400000000000000000000000000-2200000000000000000
χ824-4-4400-24-442-42-4-24-20000022-22-2-440000002-2000000-44000000000000000000000000002-200000000000000000
χ8388-8-88-8-4-400-4-4444420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000000000
χ8488-8-8-88-4-400-4-44444204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000000000
χ858-88-8008-400-848-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-800-48004-8-484-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-40044-4-444200000-22-20000000000006i−6i000000000000000000000000000000000000000000000000000
χ888-88-800-4-40044-4-444200000-22-2000000000000−6i6i000000000000000000000000000000000000000000000000000
χ898-8-8800-4-48-84444-4-4200000-2-22-44-440000002-200000000000000000000000000000000000000000000000000000
χ908-8-8800-4-4-884444-4-4200000-2-224-44-4000000-2200000000000000000000000000000000000000000000000000000

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