Finite Group Databasebeta

← Group #177998

Character table — Group #177998

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-1111111-111-1-1-111-11-11-1-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-111-1-1-111-11-11-1-1-1-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111-111-1-1-11-11-11-11-111-11-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1111111-111-1-1-11-11-11-11-1-1-1-1111-1-11111-1-111-1-1
χ1311111111-1-1-1-1111111-1-1-1-111-11-11-1-11111-11-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1111111-1-1-1-111-11-11-1-111-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-11-111-11111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-11-111-11-1-11-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-222-2-2-2-20000002000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2222000000-2000000000000000000
χ192222222222-2-222-2-2-2-2200-20002-2-22000000000000000000000
χ202222222222-2-222-2-2-2-2200-2000-222-2000000000000000000000
χ212222222222-2-2-2-222-2-2-200200000002-2000-2200000000000000
χ222222222222-2-2-2-222-2-2-20020000000-220002-200000000000000
χ2322222222-2-22222-2-2-2-2-200200022-2-2000000000000000000000
χ2422222222-2-22222-2-2-2-2-2002000-2-222000000000000000000000
χ2522222222-2-222-2-222-2-2200-2000000022000-2-200000000000000
χ2622222222-2-222-2-222-2-2200-20000000-2-20002200000000000000
χ2722222222-2-2-2-2-2-2-2-222222222-2000000-2000000000000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-22-2-220000002000000000000000000
χ294444-4-4-4-400004-40000000000000000000000000000000022−2200
χ304444-4-4-4-400004-400000000000000000000000000000000−222200
χ314444-4-4-4-40000-44000000000000000000000000000000000022−22
χ324444-4-4-4-40000-440000000000000000000000000000000000−2222
χ3344-4-44-44-4000000004-400004i−4i00000000000000000000000000
χ3444-4-44-44-4000000004-40000−4i4i00000000000000000000000000
χ3544-4-44-44-400000000-4404i−4i00000000000000000000000000000
χ3644-4-44-44-400000000-440−4i4i00000000000000000000000000000
χ374-44-4-444-44i−4i00000000000000000000002-2002i−2i000000000000
χ384-44-4-444-44i−4i0000000000000000000000-2200−2i2i000000000000
χ394-44-4-444-4−4i4i00000000000000000000002-200−2i2i000000000000
χ404-44-4-444-4−4i4i0000000000000000000000-22002i−2i000000000000
χ414-4-4444-4-40000004-400000000000000000000000000002i2−2i20000
χ424-4-4444-4-40000004-40000000000000000000000000000−2i22i20000
χ434-4-4444-4-4000000-44000000000000000000000000002i2−2i2000000
χ444-4-4444-4-4000000-4400000000000000000000000000−2i22i2000000
χ454-4-44-4-444004-4000000000000000000000000002-22-200000000
χ464-4-44-4-444004-400000000000000000000000000-22-2200000000
χ474-4-44-4-44400-44000000000000000000000000002-2-2200000000
χ484-4-44-4-44400-4400000000000000000000000000-222-200000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-88-88-8-88000000000000000000000000000000000000000000

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