Finite Group Databasebeta

← Group #11875006

Character table — Group #11875006

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444488888888888899991818181818181818181818181818181818181818181824242424242424244848484848484848
order1222224444336666666666121212121212121244444444448888888888888888444444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-11-11-111-11-1
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-11-11-1-11-11
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1-111-11-1-11
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-111-1-11-111-1
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
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-22222-2-222-2-200000000000000000000000000000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000000000000000000000000
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
χ292-22-2002-20022-2-2-2-222000022-2-200002i−2i2i−2i002i−2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i20000000000000000
χ302-22-2002-20022-2-2-2-222000022-2-200002i−2i2i−2i002i−2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i20000000000000000
χ312-22-2002-20022-2-2-2-222000022-2-20000−2i2i−2i2i00−2i2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000
χ322-22-2002-20022-2-2-2-222000022-2-20000−2i2i−2i2i00−2i2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000
χ332-22-200-220022-2-2-2-2220000-2-22200002i−2i2i−2i00−2i2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000000000
χ342-22-200-220022-2-2-2-2220000-2-22200002i−2i2i−2i00−2i2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000000000
χ352-22-200-220022-2-2-2-2220000-2-2220000−2i2i−2i2i002i−2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ362-22-200-220022-2-2-2-2220000-2-2220000−2i2i−2i2i002i−2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ372-2-2200002i−2i22-2-222-2-2000000002i2i−2i−2i2i−2i−2i2i2-200002−2−22−i2i2i2−i22−2−22i2−i2−i2i20000000000000000
χ382-2-2200002i−2i22-2-222-2-2000000002i2i−2i−2i2i−2i−2i2i2-20000−222−2i2−i2−i2i2−222−2−i2i2i2−i20000000000000000
χ392-2-2200002i−2i22-2-222-2-2000000002i2i−2i−2i−2i2i2i−2i-2200002−2−22i2−i2−i2i2−222−2i2−i2−i2i20000000000000000
χ402-2-2200002i−2i22-2-222-2-2000000002i2i−2i−2i−2i2i2i−2i-220000−222−2−i2i2i2−i22−2−22−i2i2i2−i20000000000000000
χ412-2-220000−2i2i22-2-222-2-200000000−2i−2i2i2i2i−2i−2i2i-2200002−2−22−i2i2i2−i2−222−2−i2i2i2−i20000000000000000
χ422-2-220000−2i2i22-2-222-2-200000000−2i−2i2i2i2i−2i−2i2i-220000−222−2i2−i2−i2i22−2−22i2−i2−i2i20000000000000000
χ432-2-220000−2i2i22-2-222-2-200000000−2i−2i2i2i−2i2i2i−2i2-200002−2−22i2−i2−i2i22−2−22−i2i2i2−i20000000000000000
χ442-2-220000−2i2i22-2-222-2-200000000−2i−2i2i2i−2i2i2i−2i2-20000−222−2−i2i2i2−i2−222−2i2−i2−i2i20000000000000000
χ4544444444441-21-21-21-21-21-21-21-21-21-2000000000000000000000000000022002200-1-100-1-1
χ4644444444441-21-21-21-21-21-21-21-21-21-20000000000000000000000000000-2-200-2-200110011
χ474444444444-21-21-21-21-21-21-21-21-21-210000000000000000000000000022002200-1-100-1-100
χ484444444444-21-21-21-21-21-21-21-21-21-2100000000000000000000000000-2-200-2-20011001100
χ49444444-4-4-4-41-21-21-21-21-21-2-12-12-12-1200000000000000000000000000002-2002-200-1100-11
χ50444444-4-4-4-41-21-21-21-21-21-2-12-12-12-120000000000000000000000000000-2200-22001-1001-1
χ51444444-4-4-4-4-21-21-21-21-21-212-12-12-12-1000000000000000000000000002-2002-200-1100-1100
χ52444444-4-4-4-4-21-21-21-21-21-212-12-12-12-100000000000000000000000000-2200-22001-1001-100
χ534444-4-444-4-41-21-21-21-2-12-121-21-2-12-1200000000000000000000000000002200-2-2001100-1-1
χ544444-4-444-4-41-21-21-21-2-12-121-21-2-12-120000000000000000000000000000-2-2002200-1-10011
χ554444-4-444-4-4-21-21-21-212-12-1-21-212-12-1000000000000000000000000002200-2-2001100-1-100
χ564444-4-444-4-4-21-21-21-212-12-1-21-212-12-100000000000000000000000000-2-2002200-1-1001100
χ574444-4-4-4-4441-21-21-21-2-12-12-12-121-21-200000000000000000000000000002-200-22001-100-11
χ584444-4-4-4-4441-21-21-21-2-12-12-12-121-21-20000000000000000000000000000-22002-200-11001-1
χ594444-4-4-4-444-21-21-21-212-12-12-12-1-21-21000000000000000000000000002-200-22001-100-1100
χ604444-4-4-4-444-21-21-21-212-12-12-12-1-21-2100000000000000000000000000-22002-200-11001-100
χ6188-8-88-800002-42-4-24-242-4-2400000000000000000000000000000000000000000000000000
χ6288-8-88-80000-42-424-24-2-424-200000000000000000000000000000000000000000000000000
χ6388-8-8-8800002-42-4-24-24-242-400000000000000000000000000000000000000000000000000
χ6488-8-8-880000-42-424-24-24-2-4200000000000000000000000000000000000000000000000000
χ658-88-8008-8002-4-24-242-400002-4-240000000000000000000000000000000000000000000000
χ668-88-8008-800-424-24-2-420000-424-20000000000000000000000000000000000000000000000
χ678-88-800-88002-4-24-242-40000-242-40000000000000000000000000000000000000000000000
χ688-88-800-8800-424-24-2-4200004-2-420000000000000000000000000000000000000000000000
χ698-8-8800008i−8i2-4-242-4-24000000002i−4i−2i4i000000000000000000000000000000000000000000
χ708-8-8800008i−8i-424-2-424-200000000−4i2i4i−2i000000000000000000000000000000000000000000
χ718-8-880000−8i8i2-4-242-4-2400000000−2i4i2i−4i000000000000000000000000000000000000000000
χ728-8-880000−8i8i-424-2-424-2000000004i−2i−4i2i000000000000000000000000000000000000000000

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