Finite Group Databasebeta

← Group #175866

Character table — Group #175866

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444422444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11-1-111-11-1-11-11-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111-11-1-11-11-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-11-1-11-11-1-1-1-11-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-11-11-1-1-1-11-111-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-11111111-1-1-1-111-11-11-1-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-111-11-11-1-1-11-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-11111-1-1
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-1-1111-1-1-11111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-111-11-1-1-1111-11-111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-111-11-1-1-1111-11-1-1-111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111-1-1-111-1-111-11-1-11-1111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-111-1-111-11-1-11-11-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22222-2-2-2000-22000000000000000000000
χ1822222222222-2-2-2-2-2-22-2-2222-20002-2000000000000000000000
χ192222222222-22222-2-2-200-200-2020000-202-20000000000000000
χ202222222222-22222-2-2-200-200-20-2000020-220000000000000000
χ212222222222-2-2-2-2-222-200-200220200-20-2000000000000000000
χ222222222222-2-2-2-2-222-200-2002-20-200202000000000000000000
χ2322222222-2-2222-2-2-2-2222-2222000-2-2000000000000000000000
χ2422222222-2-2222-2-2-2-22-2-2-2-2-2200022000000000000000000000
χ2522222222-2-2-222-2-222-200200-220-200-202000000000000000000
χ2622222222-2-2-222-2-222-200200-2-2020020-2000000000000000000
χ2722222222-2-2-2-2-222-2-2-200200202000020-2-20000000000000000
χ2822222222-2-2-2-2-222-2-2-20020020-20000-20220000000000000000
χ2944-44-4-44-40004-40000000000000000000002i−2i2i−2i000000000000
χ3044-44-4-44-40004-4000000000000000000000−2i2i−2i2i000000000000
χ3144-44-4-44-4000-440000000000000000000002i−2i−2i2i000000000000
χ3244-44-4-44-4000-44000000000000000000000−2i2i2i−2i000000000000
χ3344-4-44-4-44004000000-40004i−4i000000000000000000000000000
χ3444-4-44-4-44004000000-4000−4i4i000000000000000000000000000
χ3544-4-44-4-4400-400000044-4000000000000000000000000000000
χ3644-4-44-4-4400-40000004-44000000000000000000000000000000
χ374-44-44-44-44-400000000000000000000000000002i−2i2i−2i00000000
χ384-44-44-44-44-40000000000000000000000000000−2i2i−2i2i00000000
χ394-44-44-44-4-4400000000000000000000000000002i−2i−2i2i00000000
χ404-44-44-44-4-440000000000000000000000000000−2i2i2i−2i00000000
χ414-4-4444-4-4000004-40000000000000000000000000000000002i2−2i2
χ424-4-4444-4-4000004-4000000000000000000000000000000000−2i22i2
χ434-4-4444-4-400000-4400000000000000000000000000000002i2−2i200
χ444-4-4444-4-400000-440000000000000000000000000000000−2i22i200
χ454-4-4-4-444400000004-4000000000000000000000000022−22000000
χ464-4-4-4-444400000004-40000000000000000000000000−2222000000
χ474-4-4-4-44440000000-4400000000000000000000000000022−220000
χ484-4-4-4-44440000000-44000000000000000000000000000−22220000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ508-888-8-8-88000000000000000000000000000000000000000000

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