Finite Group Databasebeta

← Group #176759

Character table — Group #176759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444444444444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-11-1-1-11-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-11-1-11-1-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1-1-111111-11-1-1-11-1-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-111-1-111-1-1-1-1-11111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-111-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-111-11-1-11-11111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-1111111-111-1-1-1-1-111-11-1-11-111-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-1-11111-1-1-11-1-1-1-111111-1-111-1-1-1-111-11
χ1411111111-1-1-1-1111111-1-1-11111-1-1-11-1-1-1-1111-1-111-1-11111-1-11-1
χ1511111111-1-1-1-1111111-1-1-111-1-1-1111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-111-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-2000022-2220-2000-20000000000000000
χ182222222222222-2-2-2-22-20000-2-2-2-2-20200020000000000000000
χ192222222222-2-2-222-2-2-22222200-200-2000-200000000000000000
χ202222222222-2-2-222-2-2-22-2-2-2-200-2002000200000000000000000
χ212222222222-2-2-2-2-222-2-2000000200002-2002-200000000000000
χ222222222222-2-2-2-2-222-2-200000020000-2200-2200000000000000
χ2322222222-2-222-222-2-2-2-222-2-2002002000-200000000000000000
χ2422222222-2-222-222-2-2-2-2-2-22200200-2000200000000000000000
χ2522222222-2-222-2-2-222-22000000-200002-200-2200000000000000
χ2622222222-2-222-2-2-222-22000000-20000-22002-200000000000000
χ2722222222-2-2-2-22-2-2-2-2220000222-2-202000-20000000000000000
χ2822222222-2-2-2-22-2-2-2-2220000-2-22220-200020000000000000000
χ294444-4-4-4-4000004-40000004-4000000000000000000000000000
χ304444-4-4-4-4000004-4000000-44000000000000000000000000000
χ314444-4-4-4-400000-4400004-400000000000000000000000000000
χ324444-4-4-4-400000-440000-4400000000000000000000000000000
χ3344-4-44-44-400000004-400000000000000000000000002i2−2i2000000
χ3444-4-44-44-400000004-40000000000000000000000000−2i22i2000000
χ3544-4-44-44-40000000-44000000000000000000000002i2−2i200000000
χ3644-4-44-44-40000000-4400000000000000000000000−2i22i200000000
χ3744-4-4-44-44004i−4i000000000000000000000000000000002i−2i2-200
χ3844-4-4-44-44004i−4i00000000000000000000000000000000−2i2i-2200
χ3944-4-4-44-4400−4i4i000000000000000000000000000000002i−2i-2200
χ4044-4-4-44-4400−4i4i00000000000000000000000000000000−2i2i2-200
χ414-44-444-4-44i−4i000000000000000000000000002-22i−2i0000000000
χ424-44-444-4-44i−4i00000000000000000000000000-22−2i2i0000000000
χ434-44-444-4-4−4i4i000000000000000000000000002-2−2i2i0000000000
χ444-44-444-4-4−4i4i00000000000000000000000000-222i−2i0000000000
χ454-44-4-4-444000040000-4000004i−4i0000000000000000000000000
χ464-44-4-4-444000040000-400000−4i4i0000000000000000000000000
χ474-44-4-4-4440000-400004000000004-40000000000000000000000
χ484-44-4-4-4440000-40000400000000-440000000000000000000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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