Finite Group Databasebeta

← Group #11810271

Character table — Group #11810271

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order12224433446666662222121212121212121222222244444444666612124444661212121212121212444444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1111-11111111111-1-111-1-1-1-111111111-1-1-1-1-1-111111-1-1-11-111-1-111-1-1-1-11-111-1-11-11-1
χ101111-1-1111-11111111111-1-111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1111-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-11-11111-1-111-1-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-11-1-111-1-111111-111-1-1-111-1
χ131111-1-111-111111111111-1-1-1-111-1-1111111-1-111-1-1-1-11111-11-1-1-1111-1-1-1-111-1-1-1111-1-1-11-11
χ141111-1-111-111111111111-1-1-1-111-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-1-1-11111-11-1-1111-11-1
χ151111-1-111-11111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-11-1-111-111-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-11-1-1-11111-1-111-1111-1-11-1-11
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ1822222222-2-2222222000022-2-2-2-222-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-2222-22222220000-2-222-2-2-2-2-2-2-2-2000000000000002-222000000000000-2200000000
χ202222-2-222-222222220000-2-2-2-222-2-2-2-2-2-200000000000000-22220000000000002-200000000
χ2122-2-200220022-2-2-2-222-2-2000000002-22-22-20000000022-2-20000002-200000000002-2000000
χ2222-2-200220022-2-2-2-222-2-2000000002-22-2-220000000022-2-2000000-220000000000-22000000
χ2322-2-200220022-2-2-2-2-2-222000000002-22-22-200000000-2-2220000002-20000000000-22000000
χ2422-2-200220022-2-2-2-2-2-222000000002-22-2-2200000000-2-222000000-2200000000002-2000000
χ252-22-2002200-2-22-22-22-22-200000000-222-2000000002i−2i2-22-2000000000000002i−2i00002i−2i0000
χ262-22-2002200-2-22-22-22-22-200000000-222-200000000−2i2i2-22-200000000000000−2i2i0000−2i2i0000
χ272-22-2002200-2-22-22-2-22-2200000000-222-2000000002i−2i-22-22000000000000002i−2i0000−2i2i0000
χ282-22-2002200-2-22-22-2-22-2200000000-222-200000000−2i2i-22-2200000000000000−2i2i00002i−2i0000
χ292-2-222-22200-2-2-22-2200002-200002-222-2-2002i−2i2i−2i00000000002-20000002i−2i2i−2i000000000000
χ302-2-222-22200-2-2-22-2200002-200002-222-2-200−2i2i−2i2i00000000002-2000000−2i2i−2i2i000000000000
χ312-2-222-22200-2-2-22-222-2-222-200002-2-2-2220000002-2002-2-2200-2200002-20000000000000000
χ322-2-222-22200-2-2-22-22-222-22-200002-2-2-222000000-2200-222-200-220000-220000000000000000
χ332-2-22-222200-2-2-22-220000-220000-2222-2-2002i−2i−2i2i0000000000-220000002i−2i−2i2i000000000000
χ342-2-22-222200-2-2-22-220000-220000-2222-2-200−2i2i2i−2i0000000000-22000000−2i2i2i−2i000000000000
χ352-2-22-222200-2-2-22-222-2-22-220000-22-2-222000000-22002-2-22002-20000-220000000000000000
χ362-2-22-222200-2-2-22-22-222-2-220000-22-2-2220000002-200-222-2002-200002-20000000000000000
χ374444441-2441-21-2-210000-2-2-2-2-2-211000022000000220000110022-1-1000000-1-1000000-1-100
χ384444441-2441-21-2-210000-2-2-2-2-2-2110000-2-2000000-2-200001100-2-211000000110000001100
χ394444441-2-4-41-21-2-210000-2-2222211000022000000220000-1-100-2-2-1-1000000-1-10000001100
χ404444441-2-4-41-21-2-210000-2-22222110000-2-2000000-2-20000-1-100221100000011000000-1-100
χ41444444-2144-21-211-22222111111-2-200000022222200-1-1-1-1-2-2000000-1-1-1-1-1-1000000000000
χ42444444-2144-21-211-2-2-2-2-2111111-2-2000000-2-2-2-2-2-2001111-2-2000000111111000000000000
χ43444444-21-4-4-21-211-2222211-1-1-1-1-2-2000000-2-2-2-22200-1-1-1-122000000-1-11111000000000000
χ44444444-21-4-4-21-211-2-2-2-2-211-1-1-1-1-2-20000002222-2-20011112200000011-1-1-1-1000000000000
χ454444-4-41-24-41-21-2-21000022-2-222-1-1000022000000-2-200001-1002-2-1-100000011000000-1100
χ464444-4-41-24-41-21-2-21000022-2-222-1-10000-2-20000002200001-100-2211000000-1-10000001-100
χ474444-4-41-2-441-21-2-2100002222-2-2-1-1000022000000-2-20000-1100-22-1-1000000110000001-100
χ484444-4-41-2-441-21-2-2100002222-2-2-1-10000-2-2000000220000-11002-211000000-1-1000000-1100
χ494444-4-4-214-4-21-211-22222-1-111-1-12200000022-2-2-2-200-1-1-1-1-2200000011-1-111000000000000
χ504444-4-4-214-4-21-211-2-2-2-2-2-1-111-1-122000000-2-22222001111-22000000-1-111-1-1000000000000
χ514444-4-4-21-44-21-211-22222-1-1-1-11122000000-2-222-2-200-1-1-1-12-20000001111-1-1000000000000
χ524444-4-4-21-44-21-211-2-2-2-2-2-1-1-1-1112200000022-2-2220011112-2000000-1-1-1-111000000000000
χ5344-4-400440044-4-4-4-4000000000000-44-440000000000000000000000000000000000000000
χ544-44-4004400-4-44-44-40000000000004-4-440000000000000000000000000000000000000000
χ554-4-444-4-21002-121-1-22-2-221-13i−3i3i−3i-220000002i−2i2i−2i2-200-111-100000000-11−ii−ii000000000000
χ564-4-444-4-21002-121-1-22-2-221-1−3i3i−3i3i-22000000−2i2i−2i2i2-200-111-100000000-11i−ii−i000000000000
χ574-4-444-4-21002-121-1-2-222-21-13i−3i3i−3i-22000000−2i2i−2i2i-22001-1-11000000001-1i−ii−i000000000000
χ584-4-444-4-21002-121-1-2-222-21-1−3i3i−3i3i-220000002i−2i2i−2i-22001-1-11000000001-1−ii−ii000000000000
χ594-4-44-44-21002-121-1-22-2-22-113i−3i−3i3i2-20000002i−2i−2i2i-2200-111-1000000001-1−iii−i000000000000
χ604-4-44-44-21002-121-1-22-2-22-11−3i3i3i−3i2-2000000−2i2i2i−2i-2200-111-1000000001-1i−i−ii000000000000
χ614-4-44-44-21002-121-1-2-222-2-113i−3i−3i3i2-2000000−2i2i2i−2i2-2001-1-1100000000-11i−i−ii000000000000
χ624-4-44-44-21002-121-1-2-222-2-11−3i3i3i−3i2-20000002i−2i−2i2i2-2001-1-1100000000-11−iii−i000000000000
χ6388-8-8002-4002-4-244-200000000000000004-4000000000000000000-22000000000000000000
χ6488-8-8002-4002-4-244-20000000000000000-440000000000000000002-2000000000000000000
χ6588-8-800-4200-424-2-2444-4-40000000000000000000000-2-22200000000000000000000000000
χ6688-8-800-4200-424-2-24-4-444000000000000000000000022-2-200000000000000000000000000
χ678-88-8002-400-2424-4-20000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ688-88-8002-400-2424-4-2000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ698-88-800-42004-2-4-2244-44-40000000000000000000000-22-2200000000000000000000000000
χ708-88-800-42004-2-4-224-44-4400000000000000000000002-22-200000000000000000000000000
χ718-8-888-82-400-24-2-4420000-4400002-200000000000000000000000000000000000000000000
χ728-8-88-882-400-24-2-44200004-40000-2200000000000000000000000000000000000000000000

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