Finite Group Databasebeta

← Group #175363

Character table — Group #175363

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444222244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-11-111-11-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-111-1-11-11-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-1-1-1-11111-1-11-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1-11-1-11-1-11-11-1-111111111-1-1-1-1
χ91111111111-1-1-1-11-1-11111111-1-1-1-1-1-1111-11-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11-1-11111111-1-1-1-1-1-11-1-1-11-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-11-1-111111-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-11-1-1111-1-111-111-1-11-1111-1-111-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-11-1-1111-1-111-111-1-11-1-1-11-1-111-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-11-1-1111-1-1-1-1-111111111-1-11-1-11-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-11-1-1111-1-1-1-1-1111111-1-1-1-11-1-111111-1-111-1-1-1-111
χ17222222222-22222-2-2-22-2-20022-20022000000-20-2000000000000000
χ18222222222-22222-2-2-22-2-200-2-2-200-2-2000000202000000000000000
χ19222222222-2-2-2-2-2-2222-2-20022200-2-200000020-2000000000000000
χ20222222222-2-2-2-2-2-2222-2-200-2-220022000000-202000000000000000
χ2122222222-2222-2-2-222-22-22200-2-2-20020000-2000000000000000000
χ2222222222-2222-2-2-222-22-2-2-200-22200-200002000000000000000000
χ2322222222-22-2-222-2-2-2-22-2220022200-20000-2000000000000000000
χ2422222222-22-2-222-2-2-2-22-2-2-2002-2-200200002000000000000000000
χ2522222222-2-222-2-22-2-2-2-220000200000200200-20-200000000000000
χ2622222222-2-222-2-22-2-2-2-220000200000-200-20020200000000000000
χ2722222222-2-2-2-222222-2-220000-200000200-20020-200000000000000
χ2822222222-2-2-2-222222-2-220000-200000-200200-20200000000000000
χ29444-4-4-44-4004i−4i00000000000000000002-20000002i−2i000000000000
χ30444-4-4-44-4004i−4i0000000000000000000-22000000−2i2i000000000000
χ31444-4-4-44-400−4i4i00000000000000000002-2000000−2i2i000000000000
χ32444-4-4-44-400−4i4i0000000000000000000-220000002i−2i000000000000
χ3344-4-4-44-44400000000-400004i−4i00000000000000000000000000000
χ3444-4-4-44-44400000000-40000−4i4i00000000000000000000000000000
χ3544-4-4-44-44-40000000040000000004-4000000000000000000000000
χ3644-4-4-44-44-4000000004000000000-44000000000000000000000000
χ374-444-44-4-400000004i−4i0000000000000000000000002i−2i2-200000000
χ384-444-44-4-400000004i−4i000000000000000000000000−2i2i-2200000000
χ394-444-44-4-40000000−4i4i0000000000000000000000002i−2i-2200000000
χ404-444-44-4-40000000−4i4i000000000000000000000000−2i2i2-200000000
χ414-44-44-4-440400000000-40000004i−4i00000000000000000000000000
χ424-44-44-4-440400000000-4000000−4i4i00000000000000000000000000
χ434-44-44-4-440-400000000404-40000000000000000000000000000000
χ444-44-44-4-440-40000000040-440000000000000000000000000000000
χ454-4-44-4-44400004-4000000000000000000000000000000000002-22-2
χ464-4-44-4-44400004-400000000000000000000000000000000000-22-22
χ474-4-44-4-4440000-44000000000000000000000000000000000002-2-22
χ484-4-44-4-4440000-4400000000000000000000000000000000000-222-2
χ494-4-4-4444-400000040000-400000000000000000000000002i2−2i2000000
χ504-4-4-4444-400000040000-40000000000000000000000000−2i22i2000000
χ514-4-4-4444-4000000-40000400000000000000000000000000022−220000
χ524-4-4-4444-4000000-400004000000000000000000000000000−22220000
χ5388-888-8-8-8000000000000000000000000000000000000000000000

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