Finite Group Databasebeta

← Group #175476

Character table — Group #175476

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
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
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-11111-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-11-1-11-1-1111-11111-1-1-1-111-11-111-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11-1-1111-11111-1-1-1-111-11-1-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-11-1-11-1-1111-111-1-1-1-1111-11-1111-1-11-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-11-1-1111-111-1-1-1-1111-11-11-1-1-1-1111-1-11111-1-111-1-1
χ13111111111-1-11-1-11-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-11-1-1111-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1
χ15111111111-1-11-1-11-1-1111-1-1-1-1-11111-1111-1111-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11-1-1111-1-1-1-1-11111-1111-1-1-11-1-11111-1-111-1-1-1-111
χ1722222222222-222-2-2-22-2-2-2002200-2-200200000-2000000000000000
χ1822222222222-222-2-2-22-2-2-200-2-2002200-2000002000000000000000
χ19222222222-2-2-2-2-2-2222-2-220022002200-200000-2000000000000000
χ20222222222-2-2-2-2-2-2222-2-2200-2-200-2-2002000002000000000000000
χ2122222222-2222-2-2-222-22-2-222002200-2000000-20000000000000000
χ2222222222-2222-2-2-222-22-2-2-2-200-2-200200000020000000000000000
χ2322222222-222-2-2-22-2-2-2-22200000000020-2-20000200000000000000
χ2422222222-222-2-2-22-2-2-2-222000000000-20220000-200000000000000
χ2522222222-2-2-2222-2-2-2-22-222200-2-200-200000020000000000000000
χ2622222222-2-2-2222-2-2-2-22-22-2-20022002000000-20000000000000000
χ2722222222-2-2-2-222222-2-22-200000000020-220000-200000000000000
χ2822222222-2-2-2-222222-2-22-2000000000-202-20000200000000000000
χ29444-4-4-44-400000040000-400000000000000000000022−220000000000
χ30444-4-4-44-400000040000-4000000000000000000000−22220000000000
χ31444-4-4-44-4000000-400004000000000000000000000002i2−2i200000000
χ32444-4-4-44-4000000-40000400000000000000000000000−2i22i200000000
χ3344-44-4-4-4400004i−4i00000000000000000000000000000002i−2i2-20000
χ3444-44-4-4-4400004i−4i0000000000000000000000000000000−2i2i-220000
χ3544-44-4-4-440000−4i4i00000000000000000000000000000002i−2i-220000
χ3644-44-4-4-440000−4i4i0000000000000000000000000000000−2i2i2-20000
χ3744-4-444-4-40004000000-40000004-400000000000000000000000000
χ3844-4-444-4-40004000000-4000000-4400000000000000000000000000
χ3944-4-444-4-4000-40000004004i−4i000000000000000000000000000000
χ4044-4-444-4-4000-4000000400−4i4i000000000000000000000000000000
χ414-4444-4-4-4400000000-4000004-40000000000000000000000000000
χ424-4444-4-4-4400000000-400000-440000000000000000000000000000
χ434-4444-4-4-4-40000000040000000004i−4i000000000000000000000000
χ444-4444-4-4-4-4000000004000000000−4i4i000000000000000000000000
χ454-4-44-444-404i−4i000000000000000000000002-20002i−2i000000000000
χ464-4-44-444-404i−4i00000000000000000000000-22000−2i2i000000000000
χ474-4-44-444-40−4i4i000000000000000000000002-2000−2i2i000000000000
χ484-4-44-444-40−4i4i00000000000000000000000-220002i−2i000000000000
χ494-4-4-44-44400000004-4000000000000000000000000000000002-22-2
χ504-4-4-44-44400000004-400000000000000000000000000000000-22-22
χ514-4-4-44-4440000000-44000000000000000000000000000000002-2-22
χ524-4-4-44-4440000000-4400000000000000000000000000000000-222-2
χ538-88-8-88-88000000000000000000000000000000000000000000000

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