Finite Group Databasebeta

← Group #175535

Character table — Group #175535

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-111-1-111-1-1111-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-1-1-1-1-111-1-1-1-11-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1111-1-1-1-11111-11-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1111111111-1-1-1-1
χ911111111-1-11-1-111111-1-111-1-111111-11-11-1-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-1-111-1-111-1-11-11-11-111-1-1-1-111-1-111-1-111
χ1111111111-1-11-1-111111-1-111-1-1-1-1111-1-11-11-1-11111-1-1-1-111-1-111
χ1211111111-1-11-1-111111-1-111-1-1-1-1-1-11-1-11-111111-1-11111-1-111-1-1
χ1311111111-1-11-1-111111-1-1-1-1111-111-111-1-11-1-1-11-1-11111-1-1-1-111
χ1411111111-1-11-1-111111-1-1-1-1111-1-1-1-111-1-1111-1111-1-1-1-11111-1-1
χ1511111111-1-11-1-111111-1-1-1-111-1111-11-111-1-1-11-1-1-111-1-11111-1-1
χ1611111111-1-11-1-111111-1-1-1-111-11-1-1-11-111-1111-111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-222-2000002000000-2-20002000000000000
χ1822222222222-2-2-2-2-2-222-200000-200000022000-2000000000000
χ192222222222-22222-2-2-2-2-20000200000-2-2000020000000000000
χ202222222222-22222-2-2-2-2-20000-200000220000-20000000000000
χ212222222222-2-2-2-2-222-2-2222220000-2-200000000000000000000
χ222222222222-2-2-2-2-222-2-22-2-2-2-200002200000000000000000000
χ2322222222-2-2222-2-2-2-22-22000002000000-22000-2000000000000
χ2422222222-2-2222-2-2-2-22-2200000-20000002-20002000000000000
χ2522222222-2-2-222-2-222-22-222-2-20000-2200000000000000000000
χ2622222222-2-2-222-2-222-22-2-2-22200002-200000000000000000000
χ2722222222-2-2-2-2-222-2-2-2220000200000-220000-20000000000000
χ2822222222-2-2-2-2-222-2-2-2220000-2000002-2000020000000000000
χ294444-4-4-4-4004000000-400000000000000000000000022−22000000
χ304444-4-4-4-4004000000-4000000000000000000000000−2222000000
χ314444-4-4-4-400-40000004000000000000000000000000002i2−2i20000
χ324444-4-4-4-400-4000000400000000000000000000000000−2i22i20000
χ3344-4-44-44-4000004-400000000000000000000000002i2−2i200000000
χ3444-4-44-44-4000004-40000000000000000000000000−2i22i200000000
χ3544-4-44-44-400000-44000000000000000000000002i2−2i20000000000
χ3644-4-44-44-400000-4400000000000000000000000−2i22i20000000000
χ374-44-444-4-40004i−4i0000000000000000000000000000000002-22i−2i
χ384-44-444-4-40004i−4i000000000000000000000000000000000-22−2i2i
χ394-44-444-4-4000−4i4i0000000000000000000000000000000002-2−2i2i
χ404-44-444-4-4000−4i4i000000000000000000000000000000000-222i−2i
χ414-44-4-4-4444-400000000000000002-20000002-200000000000000
χ424-44-4-4-4444-40000000000000000-22000000-2200000000000000
χ434-44-4-4-444-4400000000000000002-2000000-2200000000000000
χ444-44-4-4-444-440000000000000000-220000002-200000000000000
χ454-4-444-4-4400000004-4000004-400000000000000000000000000
χ464-4-444-4-4400000004-400000-4400000000000000000000000000
χ474-4-444-4-440000000-440004-40000000000000000000000000000
χ484-4-444-4-440000000-44000-440000000000000000000000000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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