Finite Group Databasebeta

← Group #166236

Character table — Group #166236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-11-1-111111-1-1-1-11-1-1-11-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-11-1-111111-1-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-11-1-1-1-11111-11-1-1-111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-11-1-1-1-11111-11-1-1-11-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11-11-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11-11-1-11-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-111-11-111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-111-11-1-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-111-111-1-1-1-11111-11-1-111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-111-1-11111-1-1-111-111-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1-1-1-111111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-22-200-2002000022220-2000-20000000000000000
χ182222222222222-2-2-2-2-22-200-20020000-2-2-2-20200020000000000000000
χ19222222222222-22-2-2-2-2-2200200-222220000-2000-200000000000000000
χ20222222222222-22-2-2-2-2-2200200-2-2-2-2-200002000200000000000000000
χ21222222222222-2-22222-2-222-222-20000000000-2-2000000000000000000
χ22222222222222-2-22222-2-2-2-2-2-2-2-2000000000022000000000000000000
χ2322222222-2-2-2-22-222-2-22-200200-2000022-2-202000-20000000000000000
χ2422222222-2-2-2-22-222-2-22-200200-20000-2-2220-200020000000000000000
χ2522222222-2-2-2-2-2222-2-2-2200-200222-2-20000-2000200000000000000000
χ2622222222-2-2-2-2-2222-2-2-2200-2002-2-22200002000-200000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222-2-220000000000-22000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000002-2000000000000000000
χ2922-2-222-2-22i2i−2i−2i002i−2i2-2002-202i−2i00000000000000000000000i2−i22−2i2−i22−2
χ3022-2-222-2-22i2i−2i−2i002i−2i2-2002-202i−2i00000000000000000000000−i2i2−22−i2i2−22
χ3122-2-222-2-22i2i−2i−2i002i−2i2-200-220−2i2i00000000000000000000000i2−i22−2−i2i2−22
χ3222-2-222-2-22i2i−2i−2i002i−2i2-200-220−2i2i00000000000000000000000−i2i2−22i2−i22−2
χ3322-2-222-2-2−2i−2i2i2i00−2i2i2-2002-20−2i2i00000000000000000000000i2−i2−22i2−i2−22
χ3422-2-222-2-2−2i−2i2i2i00−2i2i2-2002-20−2i2i00000000000000000000000−i2i22−2−i2i22−2
χ3522-2-222-2-2−2i−2i2i2i00−2i2i2-200-2202i−2i00000000000000000000000i2−i2−22−i2i22−2
χ3622-2-222-2-2−2i−2i2i2i00−2i2i2-200-2202i−2i00000000000000000000000−i2i22−2i2−i2−22
χ37444-4-4-44-40000400000-4000000000004-4000000000000000000000000
χ38444-4-4-44-40000400000-400000000000-44000000000000000000000000
χ39444-4-4-44-40000-400000400000000000004i−4i0000000000000000000000
χ40444-4-4-44-40000-40000040000000000000−4i4i0000000000000000000000
χ4144-4-444-4-44i4i−4i−4i00−4i4i-4400000000000000000000000000000000000000
χ4244-4-444-4-4−4i−4i4i4i004i−4i-4400000000000000000000000000000000000000
χ434-44-44-4-444i−4i4i−4i00000000000000000000000000002i−2i2-2000000000000
χ444-44-44-4-444i−4i4i−4i0000000000000000000000000000−2i2i-22000000000000
χ454-44-44-4-44−4i4i−4i4i00000000000000000000000000002i−2i-22000000000000
χ464-44-44-4-44−4i4i−4i4i0000000000000000000000000000−2i2i2-2000000000000
χ474-4-444-44-44-4-44000000000000000000000000000000002i−2i2i−2i00000000
χ484-4-444-44-44-4-4400000000000000000000000000000000−2i2i−2i2i00000000
χ494-4-444-44-4-444-4000000000000000000000000000000002i−2i−2i2i00000000
χ504-4-444-44-4-444-400000000000000000000000000000000−2i2i2i−2i00000000
χ514-4-4-4-444400000400000-4000000004i−4i00000000000000000000000000
χ524-4-4-4-444400000400000-400000000−4i4i00000000000000000000000000
χ534-4-4-4-444400000-40000040000004-40000000000000000000000000000
χ544-4-4-4-444400000-4000004000000-440000000000000000000000000000
χ5588-88-8-8-88000000000000000000000000000000000000000000000000
χ568-888-88-8-8000000000000000000000000000000000000000000000000

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