Finite Group Databasebeta

← Group #175910

Character table — Group #175910

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1111-1-1-11-11-1111-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-11-1-1-11-1111-11-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-1-11-11-1-1-11-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-11-1-1-11-11-1-1-1111111111-1-1-1-1
χ91111111111-1-11-1-1111-1-111-1-111111-1-1-11-1-1-1-1111-1-111-1-111-1-1
χ101111111111-1-11-1-1111-1-111-1-111-1-11-111-11-1-11-111-1-1-1-111-1-111
χ111111111111-1-11-1-1111-1-111-1-1-1-1111-1-1-11-111-11-1-111-1-111-1-111
χ121111111111-1-11-1-1111-1-111-1-1-1-1-1-11-111-11111-1-1-11111-1-111-1-1
χ131111111111-1-11-1-1111-1-1-1-111111-1-11-1111-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-11-1-1111-1-1-1-11111-11-111-1-1-1-1-111-1-111-1-11111-1-1
χ151111111111-1-11-1-1111-1-1-1-111-1-11-1-11-111111-1-111-1-1-1-11111-1-1
χ161111111111-1-11-1-1111-1-1-1-111-1-1-11-111-1-1-1111111-1-111-1-1-1-111
χ17222222222-222-2222-2-2-2-2000000200020-2000-20000000000000
χ18222222222-222-2222-2-2-2-2000000-2000-20200020000000000000
χ19222222222-2-2-2-2-2-22-2-2220000002000-20-200020000000000000
χ20222222222-2-2-2-2-2-22-2-222000000-2000202000-20000000000000
χ2122222222-2222-2-2-2-22-22-20000000200020-2000-2000000000000
χ2222222222-2222-2-2-2-22-22-20000000-2000-2020002000000000000
χ2322222222-22-2-2-222-22-2-2200000002000-202000-2000000000000
χ2422222222-22-2-2-222-22-2-220000000-200020-20002000000000000
χ2522222222-2-2222-2-2-2-22-2222220000-2-200000000000000000000
χ2622222222-2-2222-2-2-2-22-22-2-2-2-200002200000000000000000000
χ2722222222-2-2-2-2222-2-222-222-2-20000-2200000000000000000000
χ2822222222-2-2-2-2222-2-222-2-2-22200002-200000000000000000000
χ29444-4-4-44-404000000-4000000000000000000000000022−22000000
χ30444-4-4-44-404000000-40000000000000000000000000−2222000000
χ31444-4-4-44-40-400000040000000000000000000000000002i2−2i20000
χ32444-4-4-44-40-40000004000000000000000000000000000−2i22i20000
χ3344-444-4-4-44000000-4000000000000000000000022−220000000000
χ3444-444-4-4-44000000-40000000000000000000000−22220000000000
χ3544-444-4-4-4-400000040000000000000000000000002i2−2i200000000
χ3644-444-4-4-4-40000004000000000000000000000000−2i22i200000000
χ374-444-4-4-44000040000-4004i−4i0000000000000000000000000000
χ384-444-4-4-44000040000-400−4i4i0000000000000000000000000000
χ394-444-4-4-440000-40000400004-400000000000000000000000000
χ404-444-4-4-440000-4000040000-4400000000000000000000000000
χ414-4-44-444-4000004i−4i00000000000000000000000000000002i−2i2-2
χ424-4-44-444-4000004i−4i0000000000000000000000000000000−2i2i-22
χ434-4-44-444-400000−4i4i00000000000000000000000000000002i−2i-22
χ444-4-44-444-400000−4i4i0000000000000000000000000000000−2i2i2-2
χ454-4-4-44-444004-40000000000002-2000000002-200000000000000
χ464-4-4-44-444004-4000000000000-2200000000-2200000000000000
χ474-4-4-44-44400-440000000000002-200000000-2200000000000000
χ484-4-4-44-44400-44000000000000-22000000002-200000000000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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