Finite Group Databasebeta

← Group #176116

Character table — Group #176116

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1111-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-11-11-1-1-11-111-1111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-1-11-11-1-1-11-1-1-1-11-1-111111111-1-1-1-1
χ71111111111111111111-1-11-1-1-11-11-11-1111-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-1111111-111-1-1-11-111-11-1-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-111-1-1-11-111-11-1-1-1-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111-111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1111111-111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ1311111111-1-1-1-1111111-1-1-1-111111-11-1-1111-1-1-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1111111-1-1-1-111111-11-1-11-1-1-1-11111-1-111-1-1-1-111
χ1511111111-1-1-1-1111111-1-1-1-111-1-1-11111-111-11-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-1-1111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-200-200020-2020-2000000000000000000
χ18222222222222-2-222-2-2-200-2000-2020-202000000000000000000
χ192222222222-2-22-2-2-22-2-2222220000-200000-2000000000000000
χ202222222222-2-22-2-2-22-2-2-2-22-2-200002000002000000000000000
χ212222222222-2-2-22-2-2-22200-20020-2000-20000200000000000000
χ222222222222-2-2-22-2-2-22200-200-20200020000-200000000000000
χ2322222222-2-2222-2-2-22-2222-2-2-20000200000-2000000000000000
χ2422222222-2-2222-2-2-22-22-2-2-2220000-2000002000000000000000
χ2522222222-2-222-22-2-2-22-20020020-200020000-200000000000000
χ2622222222-2-222-22-2-2-22-200200-202000-20000200000000000000
χ2722222222-2-2-2-2-2-222-2-220020002020-20-2000000000000000000
χ2822222222-2-2-2-2-2-222-2-22002000-20-20202000000000000000000
χ2944-444-4-4-40000004-40000000000000000000000000022−22000000
χ3044-444-4-4-40000004-400000000000000000000000000−2222000000
χ3144-444-4-4-4000000-44000000000000000000000000000022−220000
χ3244-444-4-4-4000000-440000000000000000000000000000−22220000
χ3344-4-4-444-44i−4i00000000000000000000002-2002i−2i000000000000
χ3444-4-4-444-44i−4i0000000000000000000000-2200−2i2i000000000000
χ3544-4-4-444-4−4i4i00000000000000000000002-200−2i2i000000000000
χ3644-4-4-444-4−4i4i0000000000000000000000-22002i−2i000000000000
χ374-444-4-44-4000004000-4000000000000000000000022−2200000000
χ384-444-4-44-4000004000-40000000000000000000000−222200000000
χ394-444-4-44-400000-40004000000000000000000002i2−2i20000000000
χ404-444-4-44-400000-4000400000000000000000000−2i22i20000000000
χ414-44-444-4-400004000-4004-400000000000000000000000000000
χ424-44-444-4-400004000-400-4400000000000000000000000000000
χ434-44-444-4-40000-40004000004i−4i00000000000000000000000000
χ444-44-444-4-40000-4000400000−4i4i00000000000000000000000000
χ454-4-4-44-444004-400000000000000000000000000000000002-22-2
χ464-4-4-44-444004-40000000000000000000000000000000000-22-22
χ474-4-4-44-44400-4400000000000000000000000000000000002-2-22
χ484-4-4-44-44400-440000000000000000000000000000000000-222-2
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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