Finite Group Databasebeta

← Group #175486

Character table — Group #175486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444224444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-11-11-1-1-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-11-11-1-111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-11-1-1-1-111-1-11-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1111111-111-1-1-1-11-111-11-111-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1111111-111-1-1-1-11-111-11-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-11111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-11-1-1111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-11111-1-1-11111-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-11111-1-1-11111-1-1-111-1-1-11-1-111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-111-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-111
χ17222222222-222-2-222-22-2-200-222002200-20-20000000000000000000
χ18222222222-222-2-222-22-2-200-2-2-200-2-2002020000000000000000000
χ19222222222-2-2-222-2-2-22-2-20022200-2-200-2020000000000000000000
χ20222222222-2-2-222-2-2-22-2-2002-2-200220020-20000000000000000000
χ2122222222-222222-2-2-2-22-222-200-2-200020-200000000000000000000
χ2222222222-222222-2-2-2-22-2-2-2-20022000-20200000000000000000000
χ2322222222-22-2-2-2-222-2-22-22220022000-20-200000000000000000000
χ2422222222-22-2-2-2-222-2-22-2-2-2200-2-200020200000000000000000000
χ2522222222-2-222-2-2-2-22-2-2200200000020000-2200-200000000000000
χ2622222222-2-222-2-2-2-22-2-22002000000-200002-200200000000000000
χ2722222222-2-2-2-222222-2-2200-200000020000-2-200200000000000000
χ2822222222-2-2-2-222222-2-2200-2000000-200002200-200000000000000
χ29444-4-4-4-44004i−4i0000000000000000000000002i−2i02-2000000000000
χ30444-4-4-4-44004i−4i000000000000000000000000−2i2i0-22000000000000
χ31444-4-4-4-4400−4i4i0000000000000000000000002i−2i0-22000000000000
χ32444-4-4-4-4400−4i4i000000000000000000000000−2i2i02-2000000000000
χ3344-4-444-4-4400000000-4000004-40000000000000000000000000000
χ3444-4-444-4-4400000000-400000-440000000000000000000000000000
χ3544-4-444-4-4-40000000040000000004i−4i000000000000000000000000
χ3644-4-444-4-4-4000000004000000000−4i4i000000000000000000000000
χ374-4444-4-4-40400000000-404-40000000000000000000000000000000
χ384-4444-4-4-40400000000-40-440000000000000000000000000000000
χ394-4444-4-4-40-40000000040000004i−4i00000000000000000000000000
χ404-4444-4-4-40-4000000004000000−4i4i00000000000000000000000000
χ414-44-4-444-400004i−4i0000000000000000000000000002-22i−2i00000000
χ424-44-4-444-400004i−4i000000000000000000000000000-22−2i2i00000000
χ434-44-4-444-40000−4i4i0000000000000000000000000002-2−2i2i00000000
χ444-44-4-444-40000−4i4i000000000000000000000000000-222i−2i00000000
χ454-4-44-44-4400000000400-40000000000000000000000000002i2−2i20000
χ464-4-44-44-4400000000400-4000000000000000000000000000−2i22i20000
χ474-4-44-44-4400000000-4004000000000000000000000000022−22000000
χ484-4-44-44-4400000000-40040000000000000000000000000−2222000000
χ494-4-4-44-4440000004-40000000000000000000000000000000002-22-2
χ504-4-4-44-4440000004-4000000000000000000000000000000000-22-22
χ514-4-4-44-444000000-440000000000000000000000000000000002-2-22
χ524-4-4-44-444000000-44000000000000000000000000000000000-222-2
χ5388-88-8-88-8000000000000000000000000000000000000000000000

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