Finite Group Databasebeta

← Group #11775039

Character table — Group #11775039

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12222222233666666666666666666664444444444444444244412121212121212124888888886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-1-111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−i1iiii−i−i−i−i11-1-1
χ6111111-1-1-111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-111iiii−i−i−i−i1−i−i−i−iiiii-1-111
χ7111111-1-1-111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii1−i−i−i−iiiii11-1-1
χ8111111-1-1-111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−i−i−iiiii1iiii−i−i−i−i-1-111
χ91111-1-111-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111-11-111-1-111-1-1111-1-111-1-11-11-1
χ101111-1-111-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-11-1111-1-111-1-11-1-111-1-111-11-11
χ111111-1-111-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111-11-1-1-111-1-1111-1-111-1-1111-11-1
χ121111-1-111-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-11-11-1-111-1-111111-1-111-1-1-11-11
χ131111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-1111111ii−i−i−i−iii-1-1-1-11-1-11ii−i−i−i−iii1ii−i−i−i−iii1-1-11
χ141111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-1111111ii−i−i−i−iii-1-1-1-1-111-1ii−i−i−i−iii1−i−iiiii−i−i-111-1
χ151111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-1111111−i−iiiii−i−i-1-1-1-11-1-11−i−iiiii−i−i1−i−iiiii−i−i1-1-11
χ161111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-1111111−i−iiiii−i−i-1-1-1-1-111-1−i−iiiii−i−i1ii−i−i−i−iii-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-2-222222-2-2222-2-222-2-222-2-2-2-2222200000000-2-222000000000000-2000000000000
χ192222-2-222-2222222222222-2-2-2-2-2-222-2-222220000000022-2-2000000000000-2000000000000
χ202222-2-2-2-2222222-2-2222-2-2-2-222-2-2-2-222-2-2-2-2000000002222000000000000-2000000000000
χ2122-2-2002-20222-2-22-22-2-22-20000002-2002i2i−2i−2i000000002i−2i0000000000000002−2i2−i22−2i2−i20000
χ2222-2-2002-20222-2-22-22-2-22-20000002-2002i2i−2i−2i000000002i−2i000000000000000−22−i2i2−22−i2i20000
χ2322-2-2002-20222-2-22-22-2-22-20000002-200−2i−2i2i2i00000000−2i2i0000000000000002−2−i2i22−2−i2i20000
χ2422-2-2002-20222-2-22-22-2-22-20000002-200−2i−2i2i2i00000000−2i2i000000000000000−22i2−i2−22i2−i20000
χ2522-2-200-220222-2-2-222-2-2-22000000-22002i2i−2i−2i00000000−2i2i000000000000000i2−i22−2−i2i2−220000
χ2622-2-200-220222-2-2-222-2-2-22000000-22002i2i−2i−2i00000000−2i2i000000000000000−i2i2−22i2−i22−20000
χ2722-2-200-220222-2-2-222-2-2-22000000-2200−2i−2i2i2i000000002i−2i000000000000000i2−i2−22−i2i22−20000
χ2822-2-200-220222-2-2-222-2-2-22000000-2200−2i−2i2i2i000000002i−2i000000000000000−i2i22−2i2−i2−220000
χ292-22-22-200022-22-200-22-2002-2002-200002i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000
χ302-22-22-200022-22-200-22-2002-2002-200002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000
χ312-22-22-200022-22-200-22-2002-2002-20000−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000
χ322-22-22-200022-22-200-22-2002-2002-20000−2i2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000
χ332-22-2-2200022-22-200-22-200-2200-2200002i−2i2i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00−2i2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000
χ342-22-2-2200022-22-200-22-200-2200-2200002i−2i2i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00−2i2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000
χ352-22-2-2200022-22-200-22-200-2200-220000−2i2i−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i002i−2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000
χ362-22-2-2200022-22-200-22-200-2200-220000−2i2i−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i002i−2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000
χ374444444441-211111-2-2-2111111-2-2-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ384444444441-211111-2-2-2111111-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ39444444444-21-2-2-2-2-2111-2-2-2-2-2-21111110000000000000000222200000000000000000-1-1-1-1
χ40444444444-21-2-2-2-2-2111-2-2-2-2-2-21111110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-4-41-2111-1-1-2-2-2-1-111-1-1-2-2222200002i2i2i2i−2i−2i−2i−2i00000000−i−i−i−iiiii0000000000000
χ42444444-4-4-41-2111-1-1-2-2-2-1-111-1-1-2-222220000−2i−2i−2i−2i2i2i2i2i00000000iiii−i−i−i−i0000000000000
χ43444444-4-4-4-21-2-2-22211122-2-22211-1-1-1-1000000000000000022-2-200000000000000000-1-111
χ44444444-4-4-4-21-2-2-22211122-2-22211-1-1-1-10000000000000000-2-2220000000000000000011-1-1
χ454444-4-444-41-211111-2-2-211-1-1-1-122-2-222000022-2-222-2-200000000-1-111-1-1110000000000000
χ464444-4-444-41-211111-2-2-211-1-1-1-122-2-2220000-2-222-2-2220000000011-1-111-1-10000000000000
χ474444-4-444-4-21-2-2-2-2-2111-2-22222-1-111-1-100000000000000002-22-200000000000000000-11-11
χ484444-4-444-4-21-2-2-2-2-2111-2-22222-1-111-1-10000000000000000-22-22000000000000000001-11-1
χ494444-4-4-4-441-2111-1-1-2-2-2-1-1-1-1112222-2-200002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000000
χ504444-4-4-4-441-2111-1-1-2-2-2-1-1-1-1112222-2-20000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000000
χ514444-4-4-4-44-21-2-2-2221112222-2-2-1-1-1-11100000000000000002-2-2200000000000000000-111-1
χ524444-4-4-4-44-21-2-2-2221112222-2-2-1-1-1-1110000000000000000-222-2000000000000000001-1-11
χ534-44-44-40001-2-11-1332-22-3-31-13-3-22000000002-22-22-22-200000000-11-11-11-110000000000000
χ544-44-44-40001-2-11-1332-22-3-31-13-3-2200000000-22-22-22-22000000001-11-11-11-10000000000000
χ554-44-44-40001-2-11-1-3-32-22331-1-33-22000000002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000000
χ564-44-44-40001-2-11-1-3-32-22331-1-33-2200000000−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000000
χ574-44-4-440001-2-11-1332-22-3-3-11-332-2000000002-2-222-2-2200000000-111-1-111-10000000000000
χ584-44-4-440001-2-11-1332-22-3-3-11-332-200000000-222-2-222-2000000001-1-111-1-110000000000000
χ594-44-4-440001-2-11-1-3-32-2233-113-32-2000000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii0000000000000
χ604-44-4-440001-2-11-1-3-32-2233-113-32-200000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i0000000000000
χ614-4-440000044-4-4400-4-440000000000004-4-440000000000000000000000000000000000000
χ624-4-440000044-4-4400-4-44000000000000-444-40000000000000000000000000000000000000
χ6388-8-8008-802-42-2-22-2-4442-2000000-440000000000000000000000000000000000000000000
χ6488-8-8008-80-42-444-442-2-2-440000002-20000000000000000000000000000000000000000000
χ6588-8-800-8802-42-2-2-22-444-220000004-40000000000000000000000000000000000000000000
χ6688-8-800-880-42-4444-42-2-24-4000000-220000000000000000000000000000000000000000000
χ678-88-88-8000-424-4400-22-200-44002-2000000000000000000000000000000000000000000000
χ688-88-8-88000-424-4400-22-2004-400-22000000000000000000000000000000000000000000000
χ698-8-88000002-4-2-226-644-4-66000000000000000000000000000000000000000000000000000
χ708-8-88000002-4-2-22-6644-46-6000000000000000000000000000000000000000000000000000
χ718-8-8800000-4244-400-2-2200000000006-600000000000000000000000000000000000000000
χ728-8-8800000-4244-400-2-220000000000-6600000000000000000000000000000000000000000

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