Finite Group Databasebeta

← Group #11866378

Character table — Group #11866378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122244444444888889912121212161616161818182424242424242424242436363636363636363636484848484848
order122443344666661212121222888812121212244222488242424244444444444666122424
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111
χ411111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ51111111-1-1111111111111111-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-11-1-11-1-1
χ61111111-1-1111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ71111111-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ81111111-1-111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-111
χ911-1-11111-1-1-111-1-1-1111111-1-11-11-1-11-11-11-11-111-1-11-111-1-111-1-111-1-11-1
χ1011-1-11111-1-1-111-1-1-1111111-1-11-11-1-11-11-1-11-1111-1-11-1-1-111-1-111-11-11-11
χ1111-1-11111-1-1-111-1-1-11111-1-1111-11-1-11-1-111-11-1-1-1111-1-1-111-1-1111-11-11-1
χ1211-1-11111-1-1-111-1-1-11111-1-1111-11-1-11-1-11-11-11-1-1111-111-1-111-1-1-1-111-11
χ1311-1-1111-11-1-111-1-1-1111111-1-1-11-11-11-1-111-1-1111-1-1-1111-1-1-1-1111-11-1-11
χ1411-1-1111-11-1-111-1-1-1111111-1-1-11-11-11-1-11-111-111-1-1-11-1-11111-1-1-1-1111-1
χ1511-1-1111-11-1-111-1-1-11111-1-111-11-11-11-11-11-1-11-1-111-11-1-11111-1-111-1-1-11
χ1611-1-1111-11-1-111-1-1-11111-1-111-11-11-11-11-1-111-1-1-111-1111-1-1-1-111-11-111-1
χ17222222222222222222-2-200002222-2-2-20000000000-2-200000000000000
χ182222222-2-2222222222-2-20000-2-2-2-2-2-2-200000000002200000000000000
χ19222-2-2220022222-2-2-2-222000000002-2-200000000000000002-22-2000000
χ20222-2-2220022222-2-2-2-222000000002-2-20000000000000000-22-22000000
χ21222-2-2220022222-2-2-2-2-2-200000000-2220000000000002i−2i2i−2i0000000000
χ22222-2-2220022222-2-2-2-2-2-200000000-222000000000000−2i2i−2i2i0000000000
χ2322-22-22200-2-222-222-2-22200000000-2-2200000000000000002-2-22000000
χ2422-22-22200-2-222-222-2-22200000000-2-220000000000000000-222-2000000
χ2522-22-22200-2-222-222-2-2-2-20000000022-20000000000002i−2i−2i2i0000000000
χ2622-22-22200-2-222-222-2-2-2-20000000022-2000000000000−2i2i2i−2i0000000000
χ2722-2-22222-2-2-222-2-2-222-2-200002-22-22-220000000000-2200000000000000
χ2822-2-2222-22-2-222-2-2-222-2-20000-22-222-2200000000002-200000000000000
χ29444441-244-2-2-211-21-21000000-2-21100000222200000000000000-100-1-1-1
χ30444441-244-2-2-211-21-21000000-2-21100000-2-2-2-200000000000000100111
χ31444441-2-4-4-2-2-211-21-2100000022-1-10000022-2-200000000000000-100-111
χ32444441-2-4-4-2-2-211-21-2100000022-1-100000-2-222000000000000001001-1-1
χ3344444-2144111-2-21-21-200222211-2-2000220000-1-1-1-100000000000-1-1000
χ3444444-2144111-2-21-21-200-2-2-2-211-2-2000-2-2000011110000000000011000
χ3544444-21-4-4111-2-21-21-2002222-1-122000-2-20000-1-1-1-10000000000011000
χ3644444-21-4-4111-2-21-21-200-2-2-2-2-1-122000220000111100000000000-1-1000
χ3744-4-441-24-422-21-12-1-21000000-221-1000002-22-200000000000000-1001-11
χ3844-4-441-24-422-21-12-1-21000000-221-100000-22-2200000000000000100-11-1
χ3944-4-441-2-4422-21-12-1-210000002-2-11000002-2-2200000000000000-10011-1
χ4044-4-441-2-4422-21-12-1-210000002-2-1100000-222-200000000000000100-1-11
χ4144-4-44-214-4-1-11-22-121-20022-2-21-1-220002-20000-1-11100000000000-11000
χ4244-4-44-214-4-1-11-22-121-200-2-2221-1-22000-22000011-1-1000000000001-1000
χ4344-4-44-21-44-1-11-22-121-20022-2-2-112-2000-220000-1-111000000000001-1000
χ4444-4-44-21-44-1-11-22-121-200-2-222-112-20002-2000011-1-100000000000-11000
χ454-4000440000-4-4000004-4002i2−2i20000000000000002i2−2i20000000000000000
χ464-4000440000-4-4000004-400−2i22i2000000000000000−2i22i20000000000000000
χ474-4000440000-4-400000-442i2−2i20000000000000002i2−2i2000000000000000000
χ484-4000440000-4-400000-44−2i22i2000000000000000−2i22i2000000000000000000
χ49888-8-82-400-4-4-4224-24-2000000000000000000000000000000000000000
χ50888-8-8-4200222-4-4-24-24000000000000000000000000000000000000000
χ5188-88-82-40044-42-2-424-2000000000000000000000000000000000000000
χ5288-88-8-4200-2-22-442-4-24000000000000000000000000000000000000000
χ538-8000-42006-6-2400000002i2−2i22i2−2i20000000000000−i2i2−i2i20000000000000000
χ548-8000-42006-6-240000000−2i22i2−2i22i20000000000000i2−i2i2−i20000000000000000
χ558-8000-4200-66-2400000002i2−2i2−2i22i20000000000000−i2i2i2−i20000000000000000
χ568-8000-4200-66-240000000−2i22i22i2−2i20000000000000i2−i2−i2i20000000000000000
χ5716-160004-800008-400000000000000000000000000000000000000000000

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