Finite Group Databasebeta

← Group #11811929

Character table — Group #11811929

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order12224433446666664444121212121212121222222222224444121212121212444466666612121212444444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
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
χ511111111-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91111-1-1111-11111111111-1-111-1-1-1-11111-1-111-1-111-1-111111-1-1-11-1-1-111-1-111-1-11-111-1-11-11-1
χ101111-1-1111-11111111111-1-111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-11-111-1-11111-1-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11-1-1-1-1111-1-111-1-1111-111-1-1-111-1
χ131111-1-111-111111111111-1-1-1-111-1-11111-1-1-1-11111-1-11111-11-1-1-11-1-1-1-11111-1-1-1111-1-1-11-11
χ141111-1-111-111111111111-1-1-1-111-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-111-1-111-11-1-1111-11-1
χ151111-1-111-11111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-11-1-1-111111-1-111-1-1-11-1-111-111-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-11-1-11-11111-1-1-1-111-1111-1-11-1-11
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
χ2122-2-20022002-22-2-2-22i2i−2i−2i00000000-22-22000000002-22i2i−2i−2i000000000000002-200002i−2i0000
χ2222-2-20022002-22-2-2-22i2i−2i−2i00000000-22-2200000000-222i2i−2i−2i00000000000000-220000−2i2i0000
χ2322-2-20022002-22-2-2-2−2i−2i2i2i00000000-22-22000000002-2−2i−2i2i2i000000000000002-20000−2i2i0000
χ2422-2-20022002-22-2-2-2−2i−2i2i2i00000000-22-2200000000-22−2i−2i2i2i00000000000000-2200002i−2i0000
χ252-22-2002200-22-22-2-22i−2i2i−2i00000000-2-2220000002-2002i−2i2i−2i0000000000002-200002i−2i000000
χ262-22-2002200-22-22-2-22i−2i2i−2i00000000-2-222000000-22002i−2i2i−2i000000000000-220000−2i2i000000
χ272-22-2002200-22-22-2-2−2i2i−2i2i00000000-2-2220000002-200−2i2i−2i2i0000000000002-20000−2i2i000000
χ282-22-2002200-22-22-2-2−2i2i−2i2i00000000-2-222000000-2200−2i2i−2i2i000000000000-2200002i−2i000000
χ292-2-222-22200-2-2-2-22200002-200002-2-222-2002-22-200000000002-200002-22-200000000000000
χ302-2-222-22200-2-2-2-22200002-200002-2-222-200-22-2200000000002-20000-22-2200000000000000
χ312-2-222-22200-2-2-2-2222-2-222-200002-22-2-222-2000000002-2-2200-22002-2000000000000000000
χ322-2-222-22200-2-2-2-222-222-22-200002-22-2-22-2200000000-222-200-2200-22000000000000000000
χ332-2-22-222200-2-2-2-2220000-220000-22-222-2002-2-220000000000-2200002-2-2200000000000000
χ342-2-22-222200-2-2-2-2220000-220000-22-222-200-222-20000000000-220000-222-200000000000000
χ352-2-22-222200-2-2-2-2222-2-22-220000-222-2-22-22000000002-2-22002-200-22000000000000000000
χ362-2-22-222200-2-2-2-222-222-2-220000-222-2-222-200000000-222-2002-2002-2000000000000000000
χ374444441-244-2-211-210000-2-2-2-2-2-211000000000022220000110022000000-1-1-1-1000000-1-100
χ384444441-244-2-211-210000-2-2-2-2-2-2110000000000-2-2-2-200001100-2-200000011110000001100
χ394444441-2-4-4-2-211-210000-2-2222211000000000022220000-1-100-2-2000000-1-1-1-10000001100
χ404444441-2-4-4-2-211-210000-2-22222110000000000-2-2-2-20000-1-100220000001111000000-1-100
χ41444444-214411-2-21-22222111111-2-200002222220000-1-1-1-1-2-20000-1-1-1-1-1-100000000000000
χ42444444-214411-2-21-2-2-2-2-2111111-2-20000-2-2-2-2-2-200001111-2-2000011111100000000000000
χ43444444-21-4-411-2-21-2222211-1-1-1-1-2-2000022-2-2-2-20000-1-1-1-1220000-1-1111100000000000000
χ44444444-21-4-411-2-21-2-2-2-2-211-1-1-1-1-2-20000-2-222220000111122000011-1-1-1-100000000000000
χ454444-4-41-24-4-2-211-21000022-2-222-1-1000000000022-2-200001-1002-2000000-1-111000000-1100
χ464444-4-41-24-4-2-211-21000022-2-222-1-10000000000-2-22200001-100-2200000011-1-10000001-100
χ474444-4-41-2-44-2-211-2100002222-2-2-1-1000000000022-2-20000-1100-22000000-1-1110000001-100
χ484444-4-41-2-44-2-211-2100002222-2-2-1-10000000000-2-2220000-11002-200000011-1-1000000-1100
χ494444-4-4-214-411-2-21-22222-1-111-1-1220000-2-222-2-20000-1-1-1-1-22000011-1-11100000000000000
χ504444-4-4-214-411-2-21-2-2-2-2-2-1-111-1-122000022-2-22200001111-220000-1-111-1-100000000000000
χ514444-4-4-21-4411-2-21-22222-1-1-1-111220000-2-2-2-2220000-1-1-1-12-200001111-1-100000000000000
χ524444-4-4-21-4411-2-21-2-2-2-2-2-1-1-1-1112200002222-2-2000011112-20000-1-1-1-11100000000000000
χ5344-4-40044004-44-4-4-40000000000004-44-40000000000000000000000000000000000000000
χ544-44-4004400-44-44-4-400000000000044-4-40000000000000000000000000000000000000000
χ554-4-444-4-2100-1-1221-22-2-221-13-33-3-2200002-22-22-20000-111-1000000-11-11-1100000000000000
χ564-4-444-4-2100-1-1221-22-2-221-1-33-33-2200002-2-22-220000-111-1000000-111-11-100000000000000
χ574-4-444-4-2100-1-1221-2-222-21-13-33-3-220000-22-22-2200001-1-110000001-11-11-100000000000000
χ584-4-444-4-2100-1-1221-2-222-21-1-33-33-220000-222-22-200001-1-110000001-1-11-1100000000000000
χ594-4-44-44-2100-1-1221-22-2-22-113-3-332-20000-222-2-220000-111-10000001-1-111-100000000000000
χ604-4-44-44-2100-1-1221-22-2-22-11-333-32-20000-22-222-20000-111-10000001-11-1-1100000000000000
χ614-4-44-44-2100-1-1221-2-222-2-113-3-332-200002-2-222-200001-1-11000000-111-1-1100000000000000
χ624-4-44-44-2100-1-1221-2-222-2-11-333-32-200002-22-2-2200001-1-11000000-11-111-100000000000000
χ6388-8-8002-400-442-24-20000000000000000000000004-4000000000000000000-220000000000
χ6488-8-8002-400-442-24-2000000000000000000000000-440000000000000000002-20000000000
χ6588-8-800-42002-2-44-244i4i−4i−4i0000000000000000000000−2i−2i2i2i00000000000000000000000000
χ6688-8-800-42002-2-44-24−4i−4i4i4i00000000000000000000002i2i−2i−2i00000000000000000000000000
χ678-88-8002-4004-4-224-200000000000000000000004-4000000000000000000-22000000000000
χ688-88-8002-4004-4-224-20000000000000000000000-440000000000000000002-2000000000000
χ698-88-800-4200-224-4-244i−4i4i−4i0000000000000000000000−2i2i−2i2i00000000000000000000000000
χ708-88-800-4200-224-4-24−4i4i−4i4i00000000000000000000002i−2i2i−2i00000000000000000000000000
χ718-8-888-82-40044-2-2-420000-4400002-200000000000000000000000000000000000000000000
χ728-8-88-882-40044-2-2-4200004-40000-2200000000000000000000000000000000000000000000

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