Finite Group Databasebeta

← Group #176004

Character table — Group #176004

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-11-11-11-111-11-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-1-11-11-11-1-1-1-11-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-11-1-1-11-11-1111-1-1-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-11-11-11-1-1-1-1-11-1-1-1-1-1-111111111
χ911111111-1-1-1-1111111-111-1-1-11-111-1111-1-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-111-1-1-11-111-11-1-1-1-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111-111-1-1-1-11-1-11-111-1111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1111111-111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-11111-1-1
χ1311111111-1-1-1-1111111-1-1-1-111111-1-1-1111-1-11-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ1511111111-1-1-1-1111111-1-1-1-111-1-1-11111111-1-1-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-200-200020-20200000-200000000000000
χ18222222222222-2-222-2-2-200-2000-2020-200000200000000000000
χ192222222222-2-22-2-2-22-2222-22200000000-20-2000000000000000
χ202222222222-2-22-2-2-22-22-2-2-2-2-200000000202000000000000000
χ212222222222-2-2-22-2-2-22-20020020-2020000-20000000000000000
χ222222222222-2-2-22-2-2-22-200200-2020-2000020000000000000000
χ2322222222-2-2222-2-2-22-2-2222-2-20000000020-2000000000000000
χ2422222222-2-2222-2-2-22-2-2-2-222200000000-202000000000000000
χ2522222222-2-222-22-2-2-22200-20020-20-2000020000000000000000
χ2622222222-2-222-22-2-2-22200-200-202020000-20000000000000000
χ2722222222-2-2-2-2-2-222-2-220020002020-200000-200000000000000
χ2822222222-2-2-2-2-2-222-2-22002000-20-20200000200000000000000
χ294444-4-4-4-40000004-40000000000000000000000000022−22000000
χ304444-4-4-4-40000004-400000000000000000000000000−2222000000
χ314444-4-4-4-4000000-44000000000000000000000000000022−220000
χ324444-4-4-4-4000000-440000000000000000000000000000−22220000
χ3344-4-4-4-444000004000-400000000000000000000002i2−2i200000000
χ3444-4-4-4-444000004000-40000000000000000000000−2i22i200000000
χ3544-4-4-4-44400000-400040000000000000000000022−220000000000
χ3644-4-4-4-44400000-4000400000000000000000000−22220000000000
χ374-44-44-44-4004-400000000000000000000000000000000002i−2i2i−2i
χ384-44-44-44-4004-40000000000000000000000000000000000−2i2i−2i2i
χ394-44-44-44-400-4400000000000000000000000000000000002i−2i−2i2i
χ404-44-44-44-400-440000000000000000000000000000000000−2i2i2i−2i
χ414-44-4-44-4400004000-4004i−4i00000000000000000000000000000
χ424-44-4-44-4400004000-400−4i4i00000000000000000000000000000
χ434-44-4-44-440000-40004000004-400000000000000000000000000
χ444-44-4-44-440000-4000400000-4400000000000000000000000000
χ454-4-44-444-44i−4i000000000000000000002-200002i−2i000000000000
χ464-4-44-444-44i−4i00000000000000000000-220000−2i2i000000000000
χ474-4-44-444-4−4i4i000000000000000000002-20000−2i2i000000000000
χ484-4-44-444-4−4i4i00000000000000000000-2200002i−2i000000000000
χ4988-8-888-8-8000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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