Finite Group Databasebeta

← Group #176408

Character table — Group #176408

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-11-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-111
χ91111111111-1-1-1-11111-1-111-1-111-1-11-11-11-1-1111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-1-111-1-111-1-11-11-11-1-11-1-111-1-111-1-111-11
χ111111111111-1-1-1-11111-1-111-1-1-1-11111-11-11-1-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-11111-1-111-1-1-1-11111-11-11-1-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-111-1-1-1-111-1-1111-1
χ141111111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-11111-1-111-1-1-11
χ151111111111-1-1-1-11111-1-1-1-111-1-111-1-1-111-11111-1-1-1-11111-1-1-11
χ161111111111-1-1-1-11111-1-1-1-111-1-111-1-1-111-111-1-11111-1-1-1-1111-1
χ17222222222-222-2-2-2-22-2-2222220000-200000-2000000000000000
χ18222222222-222-2-2-2-22-2-22-2-2-2-200002000002000000000000000
χ19222222222-2-2-222-2-22-22-222-2-20000-2000002000000000000000
χ20222222222-2-2-222-2-22-22-2-2-2220000200000-2000000000000000
χ2122222222-2222-2-2-2-2-222-2000000000200-2-20200000000000000
χ2222222222-2222-2-2-2-2-222-2000000000-200220-200000000000000
χ2322222222-22-2-222-2-2-22-220000000002002-20-200000000000000
χ2422222222-22-2-222-2-2-22-22000000000-200-220200000000000000
χ2522222222-2-2222222-2-2-2-20000222200-2-2000000000000000000
χ2622222222-2-2222222-2-2-2-20000-2-2-2-20022000000000000000000
χ2722222222-2-2-2-2-2-222-2-222000022-2-200-22000000000000000000
χ2822222222-2-2-2-2-2-222-2-2220000-2-222002-2000000000000000000
χ29444-4-4-44-440000000-4000004-400000000000000000000000000
χ30444-4-4-44-440000000-400000-4400000000000000000000000000
χ31444-4-4-44-4-4000000040004i−4i0000000000000000000000000000
χ32444-4-4-44-4-400000004000−4i4i0000000000000000000000000000
χ3344-44-4-4-4400004i−4i00000000000000000000002-22i−2i0000000000
χ3444-44-4-4-4400004i−4i0000000000000000000000-22−2i2i0000000000
χ3544-44-4-4-440000−4i4i00000000000000000000002-2−2i2i0000000000
χ3644-44-4-4-440000−4i4i0000000000000000000000-222i−2i0000000000
χ3744-4-444-4-4040000000-40000000000000000000000000022−220000
χ3844-4-444-4-4040000000-400000000000000000000000000−22220000
χ3944-4-444-4-40-40000000400000000000000000000000000002i2−2i200
χ4044-4-444-4-40-4000000040000000000000000000000000000−2i22i200
χ414-4-444-44-4004i−4i00000000000000000000000000002i−2i2-2000000
χ424-4-444-44-4004i−4i0000000000000000000000000000−2i2i-22000000
χ434-4-444-44-400−4i4i00000000000000000000000000002i−2i-22000000
χ444-4-444-44-400−4i4i0000000000000000000000000000−2i2i2-2000000
χ454-4-4-4-44440000004-400000000004-40000000000000000000000
χ464-4-4-4-44440000004-40000000000-440000000000000000000000
χ474-4-4-4-4444000000-44000000004-4000000000000000000000000
χ484-4-4-4-4444000000-4400000000-44000000000000000000000000
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-88-88-8-88000000000000000000000000000000000000000000

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