Finite Group Databasebeta

← Group #175491

Character table — Group #175491

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-111-1-111-1-11-1-111-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-111-1-111-1-11-1-1-1-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-11111-11111-1-1-1-111-1-1-111-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-11111-111-1-1-1-111-1111111-1-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1-1-11111-111-1-1-1-111-11111-1-1-1-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-1-1111-11-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-1-1-1-11-111111-1-111-1-1-1-111
χ17222222222-22222-2-2-22-2-2-2220022000-200000-20000000000000000
χ18222222222-22222-2-2-22-2-2-2-2-200-2-200020000020000000000000000
χ19222222222-2-2-2-2-222-22-2-222200-2-2000-20000020000000000000000
χ20222222222-2-2-2-2-222-22-2-22-2-20022000200000-20000000000000000
χ2122222222-2222-2-222-2-22-2-2000000002002-20000-200000000000000
χ2222222222-2222-2-222-2-22-2-200000000-200-220000200000000000000
χ2322222222-22-2-222-2-2-2-22-2200000000200-220000-200000000000000
χ2422222222-22-2-222-2-2-2-22-2200000000-2002-20000200000000000000
χ2522222222-2-222-2-2-2-22-2-2220022002200-200000-2000000000000000
χ2622222222-2-222-2-2-2-22-2-22200-2-200-2-2002000002000000000000000
χ2722222222-2-2-2-222222-2-22-2002200-2-200200000-2000000000000000
χ2822222222-2-2-2-222222-2-22-200-2-2002200-2000002000000000000000
χ29444-4-4-44-4400000000-40004-4000000000000000000000000000000
χ30444-4-4-44-4400000000-4000-44000000000000000000000000000000
χ31444-4-4-44-4-400000000400000004i−4i00000000000000000000000000
χ32444-4-4-44-4-40000000040000000−4i4i00000000000000000000000000
χ3344-444-4-4-40400000000-4000000000000000000000022−220000000000
χ3444-444-4-4-40400000000-40000000000000000000000−22220000000000
χ3544-444-4-4-40-40000000040000000000000000000000002i2−2i200000000
χ3644-444-4-4-40-4000000004000000000000000000000000−2i22i200000000
χ3744-4-4-44-440000004i−4i000000000000000000000000000002-22i−2i0000
χ3844-4-4-44-440000004i−4i00000000000000000000000000000-22−2i2i0000
χ3944-4-4-44-44000000−4i4i000000000000000000000000000002-2−2i2i0000
χ4044-4-4-44-44000000−4i4i00000000000000000000000000000-222i−2i0000
χ414-444-4-4-4400004i−4i000000000000000000002i−2i0002-2000000000000
χ424-444-4-4-4400004i−4i00000000000000000000−2i2i000-22000000000000
χ434-444-4-4-440000−4i4i000000000000000000002i−2i000-22000000000000
χ444-444-4-4-440000−4i4i00000000000000000000−2i2i0002-2000000000000
χ454-4-44-444-4004-400000000000000000000000000000000000002i−2i2i−2i
χ464-4-44-444-4004-40000000000000000000000000000000000000−2i2i−2i2i
χ474-4-44-444-400-4400000000000000000000000000000000000002i−2i−2i2i
χ484-4-44-444-400-440000000000000000000000000000000000000−2i2i2i−2i
χ494-4-4-44-44400000000400-40004i−4i0000000000000000000000000000
χ504-4-4-44-44400000000400-4000−4i4i0000000000000000000000000000
χ514-4-4-44-44400000000-400400000004-4000000000000000000000000
χ524-4-4-44-44400000000-40040000000-44000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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