Finite Group Databasebeta

← Group #11870873

Character table — Group #11870873

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order122222334466666634666666612121212446612121212121244442222444488888888121212121212121244446666121212122424242424242424424
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
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1-111-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-11
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-11-1
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-11111-1-111-1-11111-1-111-1-11-1-1111-1-1-1-111-1-111-1-11111-1-111-1-1-11-1
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-1-1111-1-111-1-111-1-1-1-111-1-11111-1-11-11
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-11111-1-111-1-1-1-1111-11
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
χ192222222-1222-1-12-12-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-100002222000022220000-12-12-1-1-1-10000-1-1-1-10000-1-1-1-10000000
χ202222222-1222-1-12-12-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-10000-2-2-2-20000-2-2-2-20000-12-12-1-1-1-100001111000011110000000
χ212222222-1222-1-12-12-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-1000022220000-2-2-2-200001-21-211110000-1-1-1-1000011110000000
χ222222222-1222-1-12-12-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-10000-2-2-2-20000222200001-21-21111000011110000-1-1-1-10000000
χ23222222-1222-122-12-1-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-1000000002222000022222-12-1-1-1-1-100000000-1-1-1-10000-1-1-1-1000
χ24222222-1222-122-12-1-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-100000000-2-2-2-20000-2-2-2-22-12-1-1-1-1-100000000111100001111000
χ25222222-1222-122-12-1-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-10000000022220000-2-2-2-2-21-21111100000000-1-1-1-100001111000
χ26222222-1222-122-12-1-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-100000000-2-2-2-200002222-21-2111110000000011110000-1-1-1-1000
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
χ292222-2-22-1222-1-12-12-1-2-2-211-1-1-122-1-12-211-21-1-111000022-2-2000022-2-2000012-1-211-1-10000-1-1110000-1-1110000000
χ302222-2-22-1222-1-12-12-1-2-2-211-1-1-122-1-12-211-21-1-1110000-2-2220000-2-222000012-1-211-1-1000011-1-1000011-1-10000000
χ312222-2-22-1222-1-12-12-1-2-2-211-1-1-122-1-1-2211-21-1-111000022-2-20000-2-2220000-1-212-1-1110000-1-111000011-1-10000000
χ322222-2-22-1222-1-12-12-1-2-2-211-1-1-122-1-1-2211-21-1-1110000-2-222000022-2-20000-1-212-1-111000011-1-10000-1-1110000000
χ332222-2-2-1222-122-12-1-1-211-2-2-1-1-1-1-1222-2111-2-1-1110000000022-2-2000022-2-2-2-12111-1-100000000-1-1110000-1-111000
χ342222-2-2-1222-122-12-1-1-211-2-2-1-1-1-1-1222-2111-2-1-11100000000-2-2220000-2-222-2-12111-1-10000000011-1-1000011-1-1000
χ352222-2-2-1222-122-12-1-1-211-2-2-1-1-1-1-122-22111-2-1-1110000000022-2-20000-2-22221-2-1-1-11100000000-1-111000011-1-1000
χ362222-2-2-1222-122-12-1-1-211-2-2-1-1-1-1-122-22111-2-1-11100000000-2-222000022-2-221-2-1-1-1110000000011-1-10000-1-111000
χ3722-2-200222-2-2-2-222-2200000-2-222-22-20000002-2002i2i−2i−2i002-2002i−2i0000000000000000002i−2i002-2002i−2i00000000000
χ3822-2-200222-2-2-2-222-2200000-2-222-22-20000002-2002i2i−2i−2i00-2200−2i2i0000000000000000002i−2i00-2200−2i2i00000000000
χ3922-2-200222-2-2-2-222-2200000-2-222-22-20000002-200−2i−2i2i2i002-200−2i2i000000000000000000−2i2i002-200−2i2i00000000000
χ4022-2-200222-2-2-2-222-2200000-2-222-22-20000002-200−2i−2i2i2i00-22002i−2i000000000000000000−2i2i00-22002i−2i00000000000
χ4122-2-20022-22-2-2-222-2200000-2-22-22-22000000-22002i2i−2i−2i2-2002i−2i00000000000000000000−2i2i2-2002i−2i0000000000000
χ4222-2-20022-22-2-2-222-2200000-2-22-22-22000000-22002i2i−2i−2i-2200−2i2i00000000000000000000−2i2i-2200−2i2i0000000000000
χ4322-2-20022-22-2-2-222-2200000-2-22-22-22000000-2200−2i−2i2i2i2-200−2i2i000000000000000000002i−2i2-200−2i2i0000000000000
χ4422-2-20022-22-2-2-222-2200000-2-22-22-22000000-2200−2i−2i2i2i-22002i−2i000000000000000000002i−2i-22002i−2i0000000000000
χ452-2-222-2220022-2-2-2-2202-22-22-2-20000002-20000002i−2i2i−2i00000000i2−i2i2−i22−22−2000000002i−2i0000000000i2−i2i2−i22−22−2000
χ462-2-222-2220022-2-2-2-2202-22-22-2-20000002-20000002i−2i2i−2i00000000−i2i2−i2i2−22−22000000002i−2i0000000000−i2i2−i2i2−22−22000
χ472-2-222-2220022-2-2-2-2202-22-22-2-20000002-2000000−2i2i−2i2i00000000i2−i2i2−i2−22−2200000000−2i2i0000000000i2−i2i2−i2−22−22000
χ482-2-222-2220022-2-2-2-2202-22-22-2-20000002-2000000−2i2i−2i2i00000000−i2i2−i2i22−22−200000000−2i2i0000000000−i2i2−i2i22−22−2000
χ492-2-22-22220022-2-2-2-220-22-222-2-2000000-220000002i−2i2i−2i00000000i2−i2−i2i22−2−2200000000−2i2i0000000000i2−i2−i2i22−2−22000
χ502-2-22-22220022-2-2-2-220-22-222-2-2000000-220000002i−2i2i−2i00000000−i2i2i2−i2−222−200000000−2i2i0000000000−i2i2i2−i2−222−2000
χ512-2-22-22220022-2-2-2-220-22-222-2-2000000-22000000−2i2i−2i2i00000000i2−i2−i2i2−222−2000000002i−2i0000000000i2−i2−i2i2−222−2000
χ522-2-22-22220022-2-2-2-220-22-222-2-2000000-22000000−2i2i−2i2i00000000−i2i2i2−i22−2−22000000002i−2i0000000000−i2i2i2−i22−2−22000
χ534444444-2-4-44-2-24-24-2-444-2-2-2-2-2-4-42200-2-2-422222000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-244-24-2-2-4-2-244-2-2-222-4-400-2-22-42222000000000000000000000000000000000000000000000000000
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
χ594444-4-44-2-4-44-2-24-24-24-4-422-2-2-2-4-42200224-222-2-2000000000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-244-24-2-2422-4-4-2-2-222-4-40022-2422-2-2000000000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12211-1-1000000000000000000002-2-22-1-11100000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12211-1-100000000000000000000-222-211-1-100000000000000000000000
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
χ6544-4-4004-24-4-4224-2-4-20000022-24-4-22000000-22000000004-400000000000000000000000000-22000000000000000
χ6644-4-4004-24-4-4224-2-4-20000022-24-4-22000000-2200000000-44000000000000000000000000002-2000000000000000
χ6744-4-4004-2-44-4224-2-4-20000022-2-442-20000002-20000004-400000000000000000000000000-2200000000000000000
χ6844-4-4004-2-44-4224-2-4-20000022-2-442-20000002-2000000-44000000000000000000000000002-200000000000000000
χ6944-4-400-244-42-4-4-242-20000022-2-224-4000000-220000000000004i−4i00000000000000000000000000−2i2i00000000000
χ7044-4-400-244-42-4-4-242-20000022-2-224-4000000-22000000000000−4i4i000000000000000000000000002i−2i00000000000
χ7144-4-400-24-442-4-4-242-20000022-22-2-440000002-200000000004i−4i00000000000000000000000000−2i2i0000000000000
χ7244-4-400-24-442-4-4-242-20000022-22-2-440000002-20000000000−4i4i000000000000000000000000002i−2i0000000000000
χ734-44-4004400-4-44-4-44400000-44-4000000000000004-4-4400000000000000000000000000000000000000000000000
χ744-44-4004400-4-44-4-44400000-44-400000000000000-444-400000000000000000000000000000000000000000000000
χ754-4-444-44-2004-22-42-4-204-4-22-222000000-220000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000000
χ764-4-444-44-2004-22-42-4-204-4-22-222000000-22000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000000
χ774-4-444-4-2400-24-42-42-20-224-4-222000000-22000000000000000000000022−2222−22000000000000000000000000−22−22000
χ784-4-444-4-2400-24-42-42-20-224-4-222000000-220000000000000000000000−2222−22220000000000000000000000002−22−2000
χ794-4-44-444-2004-22-42-4-20-442-2-2220000002-20000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000000
χ804-4-44-444-2004-22-42-4-20-442-2-2220000002-2000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000000
χ814-4-44-44-2400-24-42-42-202-2-44-2220000002-2000000000000000000000022−22−2222000000000000000000000000−222−2000
χ824-4-44-44-2400-24-42-42-202-2-44-2220000002-20000000000000000000000−222222−220000000000000000000000002−2−22000
χ8388-8-800-4-48-8444-4-44200000-2-22-44-440000002-200000000000000000000000000000000000000000000000000000
χ8488-8-800-4-4-88444-4-44200000-2-224-44-4000000-2200000000000000000000000000000000000000000000000000000
χ858-88-8008-400-84-4-848-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-800-48004-884-8-4-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-40044-444-4200000-22-20000000000006i−6i000000000000000000000000000000000000000000000000000
χ888-88-800-4-40044-444-4200000-22-2000000000000−6i6i000000000000000000000000000000000000000000000000000
χ898-8-888-8-4-400-4-4444420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-400-4-44444204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000000000

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