Finite Group Databasebeta

← Group #11874897

Character table — Group #11874897

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444488888888888899991818181818181818181818181818181818181818181824242424242424244848484848484848
order12224444443366666612121212121212121212121222224444448888888888888888444444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ91111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ101111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ111111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ121111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ131111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ141111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ151111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ161111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ17222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ192222-2-222-2-222222222-2-2-2-222-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ202222-2-2-2-22222222222-2-2-2-2-2-222-2-222222222-2-2-2-200000000000000000000000000000000
χ2122-2-22-200002222-2-2-2-222-2-20000000022-2-200002-20000000022-2-222-2-20000000000000000
χ2222-2-22-200002222-2-2-2-222-2-20000000022-2-200002-200000000-2-222-2-2220000000000000000
χ2322-2-22-200002222-2-2-2-222-2-200000000-2-2220000-2222-2-222-2-2000000000000000000000000
χ2422-2-22-200002222-2-2-2-222-2-200000000-2-2220000-22-2-222-2-222000000000000000000000000
χ2522-2-2-2200002222-2-2-2-2-2-2220000000022-2-20000-2222-2-2-2-222000000000000000000000000
χ2622-2-2-2200002222-2-2-2-2-2-2220000000022-2-20000-22-2-22222-2-2000000000000000000000000
χ2722-2-2-2200002222-2-2-2-2-2-22200000000-2-22200002-20000000022-2-2-2-2220000000000000000
χ2822-2-2-2200002222-2-2-2-2-2-22200000000-2-22200002-200000000-2-22222-2-20000000000000000
χ292-22-200002-222-2-22-22-20000002-2002-22-22-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ302-22-200002-222-2-22-22-20000002-2002-22-22-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ312-22-200002-222-2-22-22-20000002-2002-2-22-22-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ322-22-200002-222-2-22-22-20000002-2002-2-22-22-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ332-22-20000-2222-2-22-22-2000000-2200-222-22-2-220000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ342-22-20000-2222-2-22-22-2000000-2200-222-22-2-220000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ352-22-20000-2222-2-22-22-2000000-2200-22-22-222-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ362-22-20000-2222-2-22-22-2000000-2200-22-22-222-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ372-2-22002-20022-2-2-22-2200002-2002-2002-2-22002-200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ382-2-22002-20022-2-2-22-2200002-2002-2002-2-22002-200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ392-2-22002-20022-2-2-22-2200002-2002-200-222-200-2200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ402-2-22002-20022-2-2-22-2200002-2002-200-222-200-2200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ412-2-2200-220022-2-2-22-220000-2200-22002-2-2200-2200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ422-2-2200-220022-2-2-22-220000-2200-22002-2-2200-2200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ432-2-2200-220022-2-2-22-220000-2200-2200-222-2002-200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ442-2-2200-220022-2-2-22-220000-2200-2200-222-2002-200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ4544444444441-21-21-2-211-21-2-2-21111-2-200000000000000000000000000000022220000-1-1-1-1
χ4644444444441-21-21-2-211-21-2-2-21111-2-2000000000000000000000000000000-2-2-2-200001111
χ474444444444-21-21-211-2-21-2111-2-2-2-2110000000000000000000000000022220000-1-1-1-10000
χ484444444444-21-21-211-2-21-2111-2-2-2-21100000000000000000000000000-2-2-2-2000011110000
χ49444444-4-4-4-41-21-21-2-211-21-222-1-1-1-12200000000000000000000000000000022-2-20000-1-111
χ50444444-4-4-4-41-21-21-2-211-21-222-1-1-1-122000000000000000000000000000000-2-222000011-1-1
χ51444444-4-4-4-4-21-21-211-2-21-21-1-12222-1-10000000000000000000000000022-2-20000-1-1110000
χ52444444-4-4-4-4-21-21-211-2-21-21-1-12222-1-100000000000000000000000000-2-222000011-1-10000
χ534444-4-444-4-41-21-21-2-21-12-12-2-2-1-111220000000000000000000000000000002-22-20000-11-11
χ544444-4-444-4-41-21-21-2-21-12-12-2-2-1-11122000000000000000000000000000000-22-2200001-11-1
χ554444-4-444-4-4-21-21-211-22-12-11122-2-2-1-1000000000000000000000000002-22-20000-11-110000
χ564444-4-444-4-4-21-21-211-22-12-11122-2-2-1-100000000000000000000000000-22-2200001-11-10000
χ574444-4-4-4-4441-21-21-2-21-12-122211-1-1-2-20000000000000000000000000000002-2-220000-111-1
χ584444-4-4-4-4441-21-21-2-21-12-122211-1-1-2-2000000000000000000000000000000-222-200001-1-11
χ594444-4-4-4-444-21-21-211-22-12-1-1-1-2-22211000000000000000000000000002-2-220000-111-10000
χ604444-4-4-4-444-21-21-211-22-12-1-1-1-2-2221100000000000000000000000000-222-200001-1-110000
χ6188-8-88-800002-42-4-244-22-4-2400000000000000000000000000000000000000000000000000
χ6288-8-88-80000-42-424-2-24-424-200000000000000000000000000000000000000000000000000
χ6388-8-8-8800002-42-4-244-2-242-400000000000000000000000000000000000000000000000000
χ6488-8-8-880000-42-424-2-244-2-4200000000000000000000000000000000000000000000000000
χ658-88-800008-82-4-2424-4-20000002-200-44000000000000000000000000000000000000000000
χ668-88-800008-8-424-2-4-224000000-44002-2000000000000000000000000000000000000000000
χ678-88-80000-882-4-2424-4-2000000-22004-4000000000000000000000000000000000000000000
χ688-88-80000-88-424-2-4-2240000004-400-22000000000000000000000000000000000000000000
χ698-8-88008-8002-4-24-2-4420000-44002-200000000000000000000000000000000000000000000
χ708-8-88008-800-424-242-2-400002-200-4400000000000000000000000000000000000000000000
χ718-8-8800-88002-4-24-2-44200004-400-2200000000000000000000000000000000000000000000
χ728-8-8800-8800-424-242-2-40000-22004-400000000000000000000000000000000000000000000

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