Finite Group Databasebeta

← Group #176058

Character table — Group #176058

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-111-1-11-1-1111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-111-1-11-1-1-1-11-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-11-1-11111-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-11-1-111-1-1-11-1-111111111-1-1-1-1
χ91111111111-1-11-1-1111-1-111-1-111-1-1-111-111-11-1-111-1-111-1-111-1-1
χ101111111111-1-11-1-1111-1-111-1-111-1-1-111-1-1-1-1111-1-111-1-111-1-111
χ111111111111-1-11-1-1111-1-111-1-11-111-1-1-11111-1-1-111-1-1-1-111-1-111
χ121111111111-1-11-1-1111-1-111-1-11-111-1-1-11-1-11-111-1-11111-1-111-1-1
χ131111111111-1-11-1-1111-1-1-1-111-11-1111-1111-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-11-1-1111-1-1-1-111-11-1111-11-1-1-1-11111-1-1-1-11111-1-1
χ151111111111-1-11-1-1111-1-1-1-111-1-11-11-11-11111-1-1-1-111-1-11111-1-1
χ161111111111-1-11-1-1111-1-1-1-111-1-11-11-11-1-1-1111111-1-111-1-1-1-111
χ17222222222-222-2222-2-2-2-2000002200-20000-2000000000000000
χ18222222222-222-2222-2-2-2-200000-2-200200002000000000000000
χ19222222222-2-2-2-2-2-22-2-222000002-200-200002000000000000000
χ20222222222-2-2-2-2-2-22-2-22200000-220020000-2000000000000000
χ2122222222-2222-2-2-2-22-22-222-2-2-20002000000000000000000000
χ2222222222-2222-2-2-2-22-22-2-2-2222000-2000000000000000000000
χ2322222222-22-2-2-222-22-2-222222-2000-2000000000000000000000
χ2422222222-22-2-2-222-22-2-22-2-2-2-220002000000000000000000000
χ2522222222-2-2222-2-2-2-22-220000000200-2-2000200000000000000
χ2622222222-2-2222-2-2-2-22-220000000-20022000-200000000000000
χ2722222222-2-2-2-2222-2-222-200000002002-2000-200000000000000
χ2822222222-2-2-2-2222-2-222-20000000-200-22000200000000000000
χ29444-44-4-4-404000000-4000004-400000000000000000000000000
χ30444-44-4-4-404000000-400000-4400000000000000000000000000
χ31444-44-4-4-40-400000040004i−4i0000000000000000000000000000
χ32444-44-4-4-40-40000004000−4i4i0000000000000000000000000000
χ3344-44-44-4-44000000-4000000000000000000000022−220000000000
χ3444-44-44-4-44000000-40000000000000000000000−22220000000000
χ3544-44-44-4-4-400000040000000000000000000000002i2−2i200000000
χ3644-44-44-4-4-40000004000000000000000000000000−2i22i200000000
χ3744-4-4-4-444004i−4i00000000000000000000000000000000002i−2i2-2
χ3844-4-4-4-444004i−4i0000000000000000000000000000000000−2i2i-22
χ3944-4-4-4-44400−4i4i00000000000000000000000000000000002i−2i-22
χ4044-4-4-4-44400−4i4i0000000000000000000000000000000000−2i2i2-2
χ414-444-4-44-4000004-4000000000000000002i−2i002i−2i000000000000
χ424-444-4-44-4000004-400000000000000000−2i2i00−2i2i000000000000
χ434-444-4-44-400000-44000000000000000002i−2i00−2i2i000000000000
χ444-444-4-44-400000-4400000000000000000−2i2i002i−2i000000000000
χ454-4-4-4444-4000040000-4000000000000000000000000002i2−2i20000
χ464-4-4-4444-4000040000-400000000000000000000000000−2i22i20000
χ474-4-4-4444-40000-40000400000000000000000000000022−22000000
χ484-4-4-4444-40000-400004000000000000000000000000−2222000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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