Finite Group Databasebeta

← Group #178213

Character table — Group #178213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444422444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-111-1-11-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11-1-111-1-111-1111-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-11-1-111-1-111-1-1-11-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-11-1-11-11-1-1-1111-11-11111111-1-1-1-1-1-1-1-1
χ8111111111111111111-1-11-1-11-11-1-1-11-1-1-11-11-1-1-1-1-1-111111111
χ911111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1-1-1111111-1-111-1-111-1-111
χ1111111111-1-11-1-11111111-1-1-1-1-11-111111-1-11-1-1-1-1-11111-1-1-1-111
χ1211111111-1-11-1-11111111-1-1-1-1-11-1111-1-1-1-11-11111-1-1-1-11111-1-1
χ1311111111-1-11-1-111111-1-1-111-1111-1-11111-1-1-1-1-1-1-111-1-11111-1-1
χ1411111111-1-11-1-111111-1-1-111-1111-1-11-1-11-1-1-11111-1-111-1-1-1-111
χ1511111111-1-11-1-111111-1-1-111-1-1-1111-111-11-11-1-111-1-1-1-111-1-111
χ1611111111-1-11-1-111111-1-1-111-1-1-1111-1-1-1-11-1111-1-11111-1-111-1-1
χ172222222222222-2-2-22-222-2-2-2-20020000000-2000000000000000
χ182222222222222-2-2-22-2-2-2-222-200-200000002000000000000000
χ192222222222-2-2-22-2-2-2200200-22002-2000-200000000000000000
χ202222222222-2-2-22-2-2-2200200-2-200-22000200000000000000000
χ212222222222-2-2-2-222-2-200-200202000-200020-200000000000000
χ222222222222-2-2-2-222-2-200-20020-20002000-20200000000000000
χ2322222222-2-22-2-2-2-2-22-222222200-20000000-2000000000000000
χ2422222222-2-22-2-2-2-2-22-2-2-22-2-2200200000002000000000000000
χ2522222222-2-2-2222-2-2-2200-2002200-22000-200000000000000000
χ2622222222-2-2-2222-2-2-2200-2002-2002-2000200000000000000000
χ2722222222-2-2-222-222-2-200200-202000-2000-20200000000000000
χ2822222222-2-2-222-222-2-200200-20-2000200020-200000000000000
χ2944-444-4-4-400400000-404-4000000000000000000000000000000
χ3044-444-4-4-400400000-40-44000000000000000000000000000000
χ3144-444-4-4-400-400000400004i−4i000000000000000000000000000
χ3244-444-4-4-400-40000040000−4i4i000000000000000000000000000
χ3344-4-4-44-440000004-4000000000000000000000000000000002i2−2i2
χ3444-4-4-44-440000004-400000000000000000000000000000000−2i22i2
χ3544-4-4-44-44000000-440000000000000000000000000000002i2−2i200
χ3644-4-4-44-44000000-44000000000000000000000000000000−2i22i200
χ374-444-4-4-440004i−4i000000000000000000000000000002i−2i2-20000
χ384-444-4-4-440004i−4i00000000000000000000000000000−2i2i-220000
χ394-444-4-4-44000−4i4i000000000000000000000000000002i−2i-220000
χ404-444-4-4-44000−4i4i00000000000000000000000000000−2i2i2-20000
χ414-4-44-444-44i−4i000000000000000000002-200002i−2i000000000000
χ424-4-44-444-44i−4i00000000000000000000-220000−2i2i000000000000
χ434-4-44-444-4−4i4i000000000000000000002-20000−2i2i000000000000
χ444-4-44-444-4−4i4i00000000000000000000-2200002i−2i000000000000
χ454-4-4-44-444000004000-4000000000000000000002i2−2i20000000000
χ464-4-4-44-444000004000-400000000000000000000−2i22i20000000000
χ474-4-4-44-44400000-40004000000000000000000000022−2200000000
χ484-4-4-44-44400000-400040000000000000000000000−222200000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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