Finite Group Databasebeta

← Group #11790782

Character table — Group #11790782

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444888888888888889999161616161616161618181818181818181818181818181818181818181818727272727272
order122244444433666666221212121212121212121212124444666666662244444444444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ5111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1
χ6111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii
χ8111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i
χ91111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ101111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-11
χ111111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii
χ121111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i
χ131111-1-1-1-11111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11
χ141111-1-1-1-11111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1
χ151111-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i
χ161111-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii
χ17222222-2-2-2-22222222200-2-2-2-22222-2-2-2-2222200000000-2-222-2-20000000000000000000000
χ18222222-2-2-2-22222222200-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-2220000000000000000000000
χ192222-2-222-2-22222222200-2-2-2-2-2-2-2-22222222200000000-2-2-2-2220000000000000000000000
χ202222-2-222-2-22222222200-2-2-2-2-2-2-2-22222-2-2-2-2000000002222-2-20000000000000000000000
χ2122-2-2002-2002222-2-2-2-2000000000022-2-22i−2i2i−2i0000000000002i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000
χ2222-2-2002-2002222-2-2-2-2000000000022-2-22i−2i2i−2i0000000000002i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000
χ2322-2-2002-2002222-2-2-2-2000000000022-2-2−2i2i−2i2i000000000000−2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000
χ2422-2-2002-2002222-2-2-2-2000000000022-2-2−2i2i−2i2i000000000000−2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000
χ2522-2-200-22002222-2-2-2-20000000000-2-2222i−2i2i−2i000000000000−2i2i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000
χ2622-2-200-22002222-2-2-2-20000000000-2-2222i−2i2i−2i000000000000−2i2i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000
χ2722-2-200-22002222-2-2-2-20000000000-2-222−2i2i−2i2i0000000000002i−2i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000
χ2822-2-200-22002222-2-2-2-20000000000-2-222−2i2i−2i2i0000000000002i−2i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000
χ292-22-22-2000022-2-222-2-200000022-2-200002i−2i−2i2i00000000002i−2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000
χ302-22-22-2000022-2-222-2-200000022-2-200002i−2i−2i2i00000000002i−2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000
χ312-22-22-2000022-2-222-2-200000022-2-20000−2i2i2i−2i0000000000−2i2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000
χ322-22-22-2000022-2-222-2-200000022-2-20000−2i2i2i−2i0000000000−2i2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000
χ332-22-2-22000022-2-222-2-2000000-2-22200002i−2i−2i2i0000000000−2i2i001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000
χ342-22-2-22000022-2-222-2-2000000-2-22200002i−2i−2i2i0000000000−2i2i00−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000
χ352-22-2-22000022-2-222-2-2000000-2-2220000−2i2i2i−2i00000000002i−2i001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000
χ362-22-2-22000022-2-222-2-2000000-2-2220000−2i2i2i−2i00000000002i−2i00−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000
χ372-2-2200002-222-2-2-2-2220022-2-20000000022-2-2000000002-2000000002i−2i−2i2i0000−2i2i2i−2i000000
χ382-2-2200002-222-2-2-2-2220022-2-20000000022-2-2000000002-200000000−2i2i2i−2i00002i−2i−2i2i000000
χ392-2-2200002-222-2-2-2-2220022-2-200000000-2-22200000000-22000000002-2-2200002-2-22000000
χ402-2-2200002-222-2-2-2-2220022-2-200000000-2-22200000000-2200000000-222-20000-222-2000000
χ412-2-220000-2222-2-2-2-22200-2-2220000000022-2-200000000-2200002i−2i−2i2i0000−2i2i2i−2i0000000000
χ422-2-220000-2222-2-2-2-22200-2-2220000000022-2-200000000-220000−2i2i2i−2i00002i−2i−2i2i0000000000
χ432-2-220000-2222-2-2-2-22200-2-22200000000-2-222000000002-200002-2-2200002-2-220000000000
χ442-2-220000-2222-2-2-2-22200-2-22200000000-2-222000000002-20000-222-20000-222-20000000000
χ4544444444441-21-21-21-2441-21-21-21-21-21-2000011-2-211-2-20000000000000000000000000000
χ4644444444441-21-21-21-2-4-41-21-21-21-21-21-20000-1-122-1-1220000000000000000000000000000
χ474444444444-21-21-21-2144-21-21-21-21-21-210000-2-211-2-2110000000000000000000000000000
χ484444444444-21-21-21-21-4-4-21-21-21-21-21-21000022-1-122-1-10000000000000000000000000000
χ49444444-4-4-4-41-21-21-21-200-12-121-21-2-12-1200003-3003-3000000000000000000000000000000
χ50444444-4-4-4-41-21-21-21-200-12-121-21-2-12-120000-3300-33000000000000000000000000000000
χ51444444-4-4-4-4-21-21-21-21002-12-1-21-212-12-10000003-3003-30000000000000000000000000000
χ52444444-4-4-4-4-21-21-21-21002-12-1-21-212-12-1000000-3300-330000000000000000000000000000
χ534444-4-444-4-41-21-21-21-200-12-12-12-121-21-200003-300-33000000000000000000000000000000
χ544444-4-444-4-41-21-21-21-200-12-12-12-121-21-20000-33003-3000000000000000000000000000000
χ554444-4-444-4-4-21-21-21-21002-12-12-12-1-21-210000003-300-330000000000000000000000000000
χ564444-4-444-4-4-21-21-21-21002-12-12-12-1-21-21000000-33003-30000000000000000000000000000
χ574444-4-4-4-4441-21-21-21-24-41-21-2-12-12-12-12000011-2-2-1-1220000000000000000000000000000
χ584444-4-4-4-4441-21-21-21-2-441-21-2-12-12-12-120000-1-12211-2-20000000000000000000000000000
χ594444-4-4-4-444-21-21-21-214-4-21-212-12-12-12-10000-2-21122-1-10000000000000000000000000000
χ604444-4-4-4-444-21-21-21-21-44-21-212-12-12-12-1000022-1-1-2-2110000000000000000000000000000
χ6188-8-8008-8002-42-4-24-2400000000002-4-240000000000000000000000000000000000000000
χ6288-8-8008-800-42-424-24-20000000000-424-20000000000000000000000000000000000000000
χ6388-8-800-88002-42-4-24-240000000000-242-40000000000000000000000000000000000000000
χ6488-8-800-8800-42-424-24-200000000004-2-420000000000000000000000000000000000000000
χ658-88-88-800002-4-242-4-240000002-4-2400000000000000000000000000000000000000000000
χ668-88-88-80000-424-2-424-2000000-424-200000000000000000000000000000000000000000000
χ678-88-8-8800002-4-242-4-24000000-242-400000000000000000000000000000000000000000000
χ688-88-8-880000-424-2-424-20000004-2-4200000000000000000000000000000000000000000000
χ698-8-8800008-82-4-24-242-4002-4-24000000000000000000000000000000000000000000000000
χ708-8-8800008-8-424-24-2-4200-424-2000000000000000000000000000000000000000000000000
χ718-8-880000-882-4-24-242-400-242-4000000000000000000000000000000000000000000000000
χ728-8-880000-88-424-24-2-42004-2-42000000000000000000000000000000000000000000000000

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