Finite Group Databasebeta

← Group #341669

Character table — Group #341669

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-11-111111-1-1-1-1-111-1-11-1-1
χ31111111111111111111111-1-111-1-111-1-1-1-1-111111-11-1-1-1-1-1-111-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11
χ511111111111111111111-1-11111111111111-1-1-11-11-111-1-1-1-111-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1111-1-111-1-111-1
χ9111111111111111111-1-111111111111111-11-1-1-11-11-1-11111-1-1-1-1-1
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-111
χ11111111111111111111-1-111-1-111-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-11-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-111-1-11111-1
χ13111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-1-111111-1-1111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-11-1111111-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11
χ17222222222-22-22-22-2-2-20022002200-2-2000002000-20-200000000000
χ18222222222-22-22-22-2-2-2002200-2-2002200000-2000-20200000000000
χ19222222222-22-22-22-2-2-200-2-2002200-2-200000-200020200000000000
χ20222222222-22-22-22-2-2-200-2-200-2-2002200000200020-200000000000
χ2122222222-22-22-22-22-2-222002200-2-20000002000-20-2000000000000
χ2222222222-22-22-22-22-2-22200-2-20022000000-2000-202000000000000
χ2322222222-22-22-22-22-2-2-2-2002200-2-2000000-2000202000000000000
χ2422222222-22-22-22-22-2-2-2-200-2-20022000000200020-2000000000000
χ25222-22-2-2-222-2-222-2-22-20000000000000000002-200002-22-20000000
χ26222-22-2-2-222-2-222-2-22-20000000000000000002-20000-22-220000000
χ27222-22-2-2-222-2-222-2-22-2000000000000000000-2200002-2-220000000
χ28222-22-2-2-222-2-222-2-22-2000000000000000000-220000-222-20000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-44-4-4-44-4-444-4-44-4400000000000000000000000000000000000
χ31444-44-4-4-4-444-4-444-4-4400000000000000000000000000000000000
χ32444-44-4-4-4-4-444-4-4444-400000000000000000000000000000000000
χ3344-44-44-4-404040-40-4004-4000000000000000000000000000000000
χ3444-44-44-4-404040-40-400-44000000000000000000000000000000000
χ3544-44-44-4-40-40-40404000000000000000000000000000000002i2−2i2000
χ3644-44-44-4-40-40-4040400000000000000000000000000000000−2i22i2000
χ3744-4-4-4-444040-40-404000000000000002i22i2−2i2−2i20000000000000000000
χ3844-4-4-4-444040-40-40400000000000000−2i2−2i22i22i20000000000000000000
χ3944-4-4-4-4440-404040-400000000004i−4i0000000000000000000000000
χ4044-4-4-4-4440-404040-40000000000−4i4i0000000000000000000000000
χ414-444-4-44-44040-40-4000004-40000000000000000000000000000000
χ424-444-4-44-44040-40-400000-440000000000000000000000000000000
χ434-444-4-44-4-40-4040400000000000000000000000000000002i2−2i200000
χ444-444-4-44-4-40-404040000000000000000000000000000000−2i22i200000
χ454-44-4-44-4440-40-4040000000000000002i2−2i22i2−2i20000000000000000000
χ464-44-4-44-4440-40-404000000000000000−2i22i2−2i22i20000000000000000000
χ474-44-4-44-44-404040-400000000000004i−4i00000000000000000000000
χ484-44-4-44-44-404040-40000000000000−4i4i00000000000000000000000
χ494-4-444-4-44000000000000002i2−2i22i2−2i200002-2-220000000000000000000
χ504-4-444-4-44000000000000002i2−2i2−2i22i20000-222-20000000000000000000
χ514-4-444-4-4400000000000000−2i22i22i2−2i20000-222-20000000000000000000
χ524-4-444-4-4400000000000000−2i22i2−2i22i200002-2-220000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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