Finite Group Databasebeta

← Group #11870719

Character table — Group #11870719

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order122222334466666634666666612121212246612121212121244444444444488888888666612121212444412121212121212122424242424242424424
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
χ3111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1
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
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-11-1
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-11-1
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-11-11
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-11
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-22222000000000000000000000000-2-2220000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-20000000000000000200
χ192222222-12222-1-1-12-1222-1-1-1-1-1-1-12222-1-1-12-1-1-1-1000000002222000022222-1-1-12-1-1-10000-1-1-1-100000000-1-1-1-1000
χ202222222-12222-1-1-12-1222-1-1-1-1-1-1-12222-1-1-12-1-1-1-100000000-2-2-2-20000-2-2-2-22-1-1-12-1-1-100001111000000001111000
χ212222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-2-1-1-12-1-1-1-10000000022220000-2-2-2-2-2111-21110000-1-1-1-1000000001111000
χ222222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-2-1-1-12-1-1-1-100000000-2-2-2-200002222-2111-21110000111100000000-1-1-1-1000
χ23222222-1222-1-1222-1-12-1-122-1-1-122-1-122-1-12-1-1-1-1-100002222000022220000-12-1-1-12-1-100000000-1-1-1-1-1-1-1-10000000
χ24222222-1222-1-1222-1-12-1-122-1-1-122-1-122-1-12-1-1-1-1-10000-2-2-2-20000-2-2-2-20000-12-1-1-12-1-100000000111111110000000
χ25222222-1222-1-1222-1-12-1-122-1-1-122-1-1-2-2-1-12-1-1-1-1-1000022220000-2-2-2-200001-2111-21100000000-1-1-1-111110000000
χ26222222-1222-1-1222-1-12-1-122-1-1-122-1-1-2-2-1-12-1-1-1-1-10000-2-2-2-20000222200001-2111-211000000001111-1-1-1-10000000
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
χ292222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1222-2111-2-1-1110000000022-2-2000022-2-22-1-1-1-21110000-1-11100000000-1-111000
χ302222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1222-2111-2-1-11100000000-2-2220000-2-2222-1-1-1-2111000011-1-10000000011-1-1000
χ312222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-22111-2-1-1110000000022-2-20000-2-222-21112-1-1-10000-1-1110000000011-1-1000
χ322222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-22111-2-1-11100000000-2-222000022-2-2-21112-1-1-1000011-1-100000000-1-111000
χ332222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-12-211-21-1-111000022-2-2000022-2-20000-12-1-11-21100000000-1-111-1-1110000000
χ342222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-12-211-21-1-1110000-2-2220000-2-2220000-12-1-11-2110000000011-1-111-1-10000000
χ352222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-1-2211-21-1-111000022-2-20000-2-22200001-211-12-1-100000000-1-11111-1-10000000
χ362222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-1-2211-21-1-1110000-2-222000022-2-200001-211-12-1-10000000011-1-1-1-1110000000
χ3722-2-200222-2-2-22-2-22200000-22-22-22-20000002-2002i2i−2i−2i002-2002i−2i00000000000000002i−2i00002i−2i002-200000000000
χ3822-2-200222-2-2-22-2-22200000-22-22-22-20000002-2002i2i−2i−2i00-2200−2i2i00000000000000002i−2i0000−2i2i00-2200000000000
χ3922-2-200222-2-2-22-2-22200000-22-22-22-20000002-200−2i−2i2i2i002-200−2i2i0000000000000000−2i2i0000−2i2i002-200000000000
χ4022-2-200222-2-2-22-2-22200000-22-22-22-20000002-200−2i−2i2i2i00-22002i−2i0000000000000000−2i2i00002i−2i00-2200000000000
χ4122-2-20022-22-2-22-2-22200000-22-2-22-22000000-22002i2i−2i−2i2-2002i−2i000000000000000000−2i2i002i−2i002-20000000000000
χ4222-2-20022-22-2-22-2-22200000-22-2-22-22000000-22002i2i−2i−2i-2200−2i2i000000000000000000−2i2i00−2i2i00-220000000000000
χ4322-2-20022-22-2-22-2-22200000-22-2-22-22000000-2200−2i−2i2i2i2-200−2i2i0000000000000000002i−2i00−2i2i002-20000000000000
χ4422-2-20022-22-2-22-2-22200000-22-2-22-22000000-2200−2i−2i2i2i-22002i−2i0000000000000000002i−2i002i−2i00-220000000000000
χ452-2-222-22200-22-22-2-2202-22-2-2-220000002-20000002-22-200000000i2−i2i2−i2i2−i2i2−i200000000002-200000000i2−i2i2−i2i2−i2i2−i2000
χ462-2-222-22200-22-22-2-2202-22-2-2-220000002-20000002-22-200000000−i2i2−i2i2−i2i2−i2i200000000002-200000000−i2i2−i2i2−i2i2−i2i2000
χ472-2-222-22200-22-22-2-2202-22-2-2-220000002-2000000-22-2200000000i2−i2i2−i2−i2i2−i2i20000000000-2200000000i2−i2i2−i2−i2i2−i2i2000
χ482-2-222-22200-22-22-2-2202-22-2-2-220000002-2000000-22-2200000000−i2i2−i2i2i2−i2i2−i20000000000-2200000000−i2i2−i2i2i2−i2i2−i2000
χ492-2-22-222200-22-22-2-220-22-22-2-22000000-220000002-22-200000000i2−i2−i2i2i2−i2−i2i20000000000-2200000000i2−i2−i2i2i2−i2−i2i2000
χ502-2-22-222200-22-22-2-220-22-22-2-22000000-220000002-22-200000000−i2i2i2−i2−i2i2i2−i20000000000-2200000000−i2i2i2−i2−i2i2i2−i2000
χ512-2-22-222200-22-22-2-220-22-22-2-22000000-22000000-22-2200000000i2−i2−i2i2−i2i2i2−i200000000002-200000000i2−i2−i2i2−i2i2i2−i2000
χ522-2-22-222200-22-22-2-220-22-22-2-22000000-22000000-22-2200000000−i2i2i2−i2i2−i2−i2i200000000002-200000000−i2i2i2−i2i2−i2−i2i2000
χ534444444-2-4-444-2-2-24-2-444-2-2-2-2-222-4-400-2-22-42222000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-2-2444-2-2-4-2-244-2-2-2-4-42200-2-2-422222000000000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2111100000000000000000000-2-211-2-21100000000000000000000000
χ56444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-411-2-211110000000000000000000022-1-122-1-100000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-100000000000000000000003-3003-300000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-10000000000000000000000-3300-3300000000000000000000000
χ594444-4-44-2-4-444-2-2-24-24-4-422-2-2-222-4-40022-2422-2-2000000000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-2-4-42200224-222-2-2000000000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12211-1-100000000000000000000-2-21122-1-100000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12211-1-10000000000000000000022-1-1-2-21100000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-11100000000000000000000003-300-3300000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-1110000000000000000000000-33003-300000000000000000000000
χ6544-4-4004-24-4-4-4-2224-2000002-22-224-4000000-220000000000004i−4i0000000000000000000000−2i2i000000000000000
χ6644-4-4004-24-4-4-4-2224-2000002-22-224-4000000-22000000000000−4i4i00000000000000000000002i−2i000000000000000
χ6744-4-4004-2-44-4-4-2224-2000002-222-2-440000002-200000000004i−4i0000000000000000000000−2i2i00000000000000000
χ6844-4-4004-2-44-4-4-2224-2000002-222-2-440000002-20000000000−4i4i00000000000000000000002i−2i00000000000000000
χ6944-4-400-244-4224-4-4-2-2000002-224-4-22000000-22000000004-4000000000000000000000000000000-2200000000000
χ7044-4-400-244-4224-4-4-2-2000002-224-4-22000000-2200000000-440000000000000000000000000000002-200000000000
χ7144-4-400-24-44224-4-4-2-2000002-22-442-20000002-20000004-4000000000000000000000000000000-220000000000000
χ7244-4-400-24-44224-4-4-2-2000002-22-442-20000002-2000000-440000000000000000000000000000002-20000000000000
χ734-44-40044004-4-4-44-44000004-4-4000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ744-44-40044004-4-4-44-44000004-4-400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ754-4-444-44-200-442-22-4-204-4-2222-2000000-2200000000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i2000
χ764-4-444-44-200-442-22-4-204-4-2222-2000000-220000000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i2000
χ774-4-444-4-24002-2-44-42-20-224-422-2000000-220000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000000
χ784-4-444-4-24002-2-44-42-20-224-422-2000000-22000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000000
χ794-4-44-444-200-442-22-4-20-442-222-20000002-200000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000
χ804-4-44-444-200-442-22-4-20-442-222-20000002-20000000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000
χ814-4-44-44-24002-2-44-42-202-2-4422-20000002-20000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000000
χ824-4-44-44-24002-2-44-42-202-2-4422-20000002-2000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000000
χ8388-8-800-4-48-844-444-4200000-22-2-44-440000002-200000000000000000000000000000000000000000000000000000
χ8488-8-800-4-4-8844-444-4200000-22-24-44-4000000-2200000000000000000000000000000000000000000000000000000
χ858-88-8008-4008-844-4-8-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ868-88-800-4800-44-8-884-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-400-4444-442000002-2-20000000000006i−6i000000000000000000000000000000000000000000000000000
χ888-88-800-4-400-4444-442000002-2-2000000000000−6i6i000000000000000000000000000000000000000000000000000
χ898-8-888-8-4-4004-44-44420-44-44-2-220000002-2000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-4004-44-444204-44-4-2-22000000-22000000000000000000000000000000000000000000000000000000000

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