Finite Group Databasebeta

← Group #176939

Character table — Group #176939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-111-1-111-1-1-1-11-11-111111111-1-1-1-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-111-1-11-111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111-1-11111-1-1-1-1111-1-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-1-11111-1-1-1-1111-1-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-1111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-111111-1-111-1-1-1-1111-1-1-111-11-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-111111-1-111-1-1-1-111-11
χ14111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-11111-1-11-1
χ15111111111-1-1-1-111111-1-1-1-1-1-11111-11111-1-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-2-2002200220000-20-2000000000000000
χ182222222222222-2-2-2-22-2-200-2-200-2-20000202000000000000000
χ19222222222-2-2-2-2-2-2-2-2222002200-2-2000020-2000000000000000
χ20222222222-2-2-2-2-2-2-2-222200-2-200220000-202000000000000000
χ2122222222-222-2-222-2-2-22-20000000002-200-20200000000000000
χ2222222222-222-2-222-2-2-22-2000000000-220020-200000000000000
χ2322222222-222-2-2-2-222-2-222200-2-200-2002000000000000000000
χ2422222222-222-2-2-2-222-2-22-2-2002200200-2000000000000000000
χ2522222222-2-2-22222-2-2-2-220000000002-20020-200000000000000
χ2622222222-2-2-22222-2-2-2-22000000000-2200-20200000000000000
χ2722222222-2-2-222-2-222-22-222002200-200-2000000000000000000
χ2822222222-2-2-222-2-222-22-2-2-200-2-2002002000000000000000000
χ294444-4-4-4-4400000000-400004-400000000000000000000000000
χ304444-4-4-4-4400000000-40000-4400000000000000000000000000
χ314444-4-4-4-4-4000000004000000004i−4i0000000000000000000000
χ324444-4-4-4-4-400000000400000000−4i4i0000000000000000000000
χ3344-4-44-4-4400000004-400000004i−4i000000000000000000000000
χ3444-4-44-4-4400000004-40000000−4i4i000000000000000000000000
χ3544-4-44-4-440000000-440004i−4i0000000000000000000000000000
χ3644-4-44-4-440000000-44000−4i4i0000000000000000000000000000
χ3744-4-4-444-40004i−4i000000000000000000000002-22i−2i0000000000
χ3844-4-4-444-40004i−4i00000000000000000000000-22−2i2i0000000000
χ3944-4-4-444-4000−4i4i000000000000000000000002-2−2i2i0000000000
χ4044-4-4-444-4000−4i4i00000000000000000000000-222i−2i0000000000
χ414-44-444-4-404i−4i0000000000000000000000000000000002i−2i2-200
χ424-44-444-4-404i−4i000000000000000000000000000000000−2i2i-2200
χ434-44-444-4-40−4i4i0000000000000000000000000000000002i−2i-2200
χ444-44-444-4-40−4i4i000000000000000000000000000000000−2i2i2-200
χ454-4-444-44-4000004-40000000000000000000000000002i2−2i2000000
χ464-4-444-44-4000004-4000000000000000000000000000−2i22i2000000
χ474-4-444-44-400000-4400000000000000000000000002i2−2i200000000
χ484-4-444-44-400000-440000000000000000000000000−2i22i200000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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