Finite Group Databasebeta

← Group #11863911

Character table — Group #11863911

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order1222222223366666666666666666666444422224444444424446666121212124888888886121212
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
χ5111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-111-1-1
χ6111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11111-1-111
χ7111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-1111111-1-1
χ8111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111111-1-1-1-1-1-111
χ91111-1-111-11111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-1111-1-1111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-111-11111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-111-111-111-1-111-1-1-1-1-111-1-111-11-11
χ111111-1-111-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1111-1-11-1-111-1-111-1-1-111-1-1111-11-1
χ121111-1-111-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-111-1-1-111-1-111-111-1-111-1-1-11-11
χ131111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111-11-111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-11-1111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111111-11-1-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-11-11-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-2-222222222222222-2-2-2-2-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-222-22222-2-2-2-22222-2-222-2-222-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-222222200000000-2-2-2-20000000000002000000000000
χ2122-2-22-2000222-222-2-22-2-2-22-2000000002i2i−2i−2i000000002i−2i0000000000000002−22−2i2−i2i2−i20000
χ2222-2-22-2000222-222-2-22-2-2-22-2000000002i2i−2i−2i000000002i−2i000000000000000−22−22−i2i2−i2i20000
χ2322-2-22-2000222-222-2-22-2-2-22-200000000−2i−2i2i2i00000000−2i2i0000000000000002−22−2−i2i2−i2i20000
χ2422-2-22-2000222-222-2-22-2-2-22-200000000−2i−2i2i2i00000000−2i2i000000000000000−22−22i2−i2i2−i20000
χ2522-2-2-22000222-2-2-2222-2-2-2-22000000002i2i−2i−2i00000000−2i2i0000000000000002−2−22i2−i2−i2i20000
χ2622-2-2-22000222-2-2-2222-2-2-2-22000000002i2i−2i−2i00000000−2i2i000000000000000−222−2−i2i2i2−i20000
χ2722-2-2-22000222-2-2-2222-2-2-2-2200000000−2i−2i2i2i000000002i−2i0000000000000002−2−22−i2i2i2−i20000
χ2822-2-2-22000222-2-2-2222-2-2-2-2200000000−2i−2i2i2i000000002i−2i000000000000000−222−2i2−i2−i2i20000
χ292-2-22002-2022-2-20000-22-22002-2002-2002-22-2002-2002-2002-20000002-2002-20000000000000
χ302-2-22002-2022-2-20000-22-22002-2002-2002-22-200-2200-22002-2000000-2200-220000000000000
χ312-2-22002-2022-2-20000-22-22002-2002-200-22-222-2002-20000-2200002-2002-2000000000000000
χ322-2-22002-2022-2-20000-22-22002-2002-200-22-22-2200-220000-220000-2200-22000000000000000
χ332-2-2200-22022-2-20000-22-2200-2200-22002-22-22-200-220000-2200002-200-22000000000000000
χ342-2-2200-22022-2-20000-22-2200-2200-22002-22-2-22002-20000-220000-22002-2000000000000000
χ352-2-2200-22022-2-20000-22-2200-2200-2200-22-22002-200-22002-20000002-200-220000000000000
χ362-2-2200-22022-2-20000-22-2200-2200-2200-22-2200-22002-2002-2000000-22002-20000000000000
χ374444444441-2-2-2-2-2-2-2111-2111111-2-2-2-20000000000000000222200000000000000000-1-1-1-1
χ384444444441-2-2-2-2-2-2-2111-2111111-2-2-2-20000000000000000-2-2-2-2000000000000000001111
χ39444444444-21111111-2-2-21-2-2-2-2-2-2111100002222222200000000-1-1-1-1-1-1-1-10000000000000
χ40444444444-21111111-2-2-21-2-2-2-2-2-211110000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-4-41-2-2-2-2-2-2-2111-211-1-1-1-12222000000000000000022-2-200000000000000000-1-111
χ42444444-4-4-41-2-2-2-2-2-2-2111-211-1-1-1-122220000000000000000-2-2220000000000000000011-1-1
χ43444444-4-4-4-21111111-2-2-21-2-22222-1-1-1-100002222-2-2-2-200000000-1-1-1-111110000000000000
χ44444444-4-4-4-21111111-2-2-21-2-22222-1-1-1-10000-2-2-2-22222000000001111-1-1-1-10000000000000
χ454444-4-444-41-2-2-22222111-2-1-111-1-1-2-22200000000000000002-2-2200000000000000000-11-11
χ464444-4-444-41-2-2-22222111-2-1-111-1-1-2-2220000000000000000-222-2000000000000000001-11-1
χ474444-4-444-4-2111-1-1-1-1-2-2-2122-2-22211-1-1000022-2-222-2-200000000-1-111-1-1110000000000000
χ484444-4-444-4-2111-1-1-1-1-2-2-2122-2-22211-1-10000-2-222-2-2220000000011-1-111-1-10000000000000
χ494444-4-4-4-441-2-2-22222111-2-1-1-1-11122-2-200000000000000002-22-200000000000000000-111-1
χ504444-4-4-4-441-2-2-22222111-2-1-1-1-11122-2-20000000000000000-22-22000000000000000001-1-11
χ514444-4-4-4-44-2111-1-1-1-1-2-2-212222-2-2-1-111000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-44-2111-1-1-1-1-2-2-212222-2-2-1-1110000-2-22222-2-20000000011-1-1-1-1110000000000000
χ534-44-40000044-440000-4-44-400000000004i−4i−4i4i0000000000000000000000000000000000000
χ544-44-40000044-440000-4-44-40000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-4-44004-40-21-1-13-33-32-22100-22001-13-300002-22-22-22-200000000-11-11-11-110000000000000
χ564-4-44004-40-21-1-13-33-32-22100-22001-13-30000-22-22-22-22000000001-11-11-11-10000000000000
χ574-4-44004-40-21-1-1-33-332-22100-22001-1-3300002-2-222-2-2200000000-111-1-111-10000000000000
χ584-4-44004-40-21-1-1-33-332-22100-22001-1-330000-222-2-222-2000000001-1-111-1-110000000000000
χ594-4-4400-440-21-1-13-33-32-221002-200-11-3300002-22-2-22-2200000000-11-111-11-10000000000000
χ604-4-4400-440-21-1-13-33-32-221002-200-11-330000-22-222-22-2000000001-11-1-11-110000000000000
χ614-4-4400-440-21-1-1-33-332-221002-200-113-300002-2-22-222-200000000-111-11-1-110000000000000
χ624-4-4400-440-21-1-1-33-332-221002-200-113-30000-222-22-2-22000000001-1-11-111-10000000000000
χ6388-8-88-80002-4-44-4-4442-2-242-20000000000000000000000000000000000000000000000000
χ6488-8-88-8000-422-222-2-2-444-2-440000000000000000000000000000000000000000000000000
χ6588-8-8-880002-4-4444-4-42-2-24-220000000000000000000000000000000000000000000000000
χ6688-8-8-88000-422-2-2-222-444-24-40000000000000000000000000000000000000000000000000
χ678-88-8000002-44-40000-2-22400006-6000000000000000000000000000000000000000000000
χ688-88-8000002-44-40000-2-2240000-66000000000000000000000000000000000000000000000
χ698-88-800000-42-226-6-6644-4-2000000000000000000000000000000000000000000000000000
χ708-88-800000-42-22-666-644-4-2000000000000000000000000000000000000000000000000000
χ718-8-88008-802-4440000-22-2-4002-200-440000000000000000000000000000000000000000000
χ728-8-8800-8802-4440000-22-2-400-22004-40000000000000000000000000000000000000000000

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