Finite Group Databasebeta

← Group #343674

Character table — Group #343674

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-11-1
χ31111111111111111111111-1-11111-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-11
χ41111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1
χ511111111111111111111-1-11111-1-111-1-111-1-1-1-1111-111-1-1-1-111-1-1-1-11-1
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1-111111111-1-1-11
χ9111111111111111111-1-1111111-1-111-1-111-1-1-1-111-11-1-111-1-1-1-1-1-111-11
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-111-1-111111-1
χ13111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-11111-1-111-11
χ15111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-11111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ17222222222-22-22-22-2-2-20000222200-2-200220000-2-20000000000000000
χ18222222222-22-22-22-2-2-2000022-2-2002200-2-20000-220000000000000000
χ19222222222-22-22-22-2-2-20000-2-222002200-2-200002-20000000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-200-2-200220000220000000000000000
χ2122222222-22-22-22-22-2-222220000-2-2002200000000-2-200000000000000
χ2222222222-22-22-22-22-2-222-2-200002200-2-200000000-2200000000000000
χ2322222222-22-22-22-22-2-2-2-22200002200-2-2000000002-200000000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000-2-20022000000002200000000000000
χ252-222-22-2-2-2-222-2-222-22000000000000000022-2-200002i−2i2i−2i0000000000
χ262-222-22-2-2-2-222-2-222-22000000000000000022-2-20000−2i2i−2i2i0000000000
χ272-222-22-2-2-2-222-2-222-220000000000000000-2-22200002i−2i−2i2i0000000000
χ282-222-22-2-2-2-222-2-222-220000000000000000-2-2220000−2i2i2i−2i0000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-4-4-4440-40-40400000000000000000000000000000002i2−2i200000000
χ31444-4-4-4-4440-40-4040000000000000000000000000000000−2i22i200000000
χ32444-4-4-4-44-404040-400000004i−4i00000000000000000000000000000000
χ33444-4-4-4-44-404040-40000000−4i4i00000000000000000000000000000000
χ3444-444-4-4-4000000000000000000000022−2222−222-22-2000000000000000000
χ3544-444-4-4-4000000000000000000000022−22−2222-22-22000000000000000000
χ3644-444-4-4-40000000000000000000000−222222−22-22-22000000000000000000
χ3744-444-4-4-40000000000000000000000−2222−22222-22-2000000000000000000
χ3844-4-4-444-404040-40-40000000000000000000000000000000022−22000000
χ3944-4-4-444-404040-40-400000000000000000000000000000000−2222000000
χ4044-4-4-444-40-40-40404004i−4i000000000000000000000000000000000000
χ4144-4-4-444-40-40-4040400−4i4i000000000000000000000000000000000000
χ424-444-44-4-444-4-444-4-4-4400000000000000000000000000000000000000
χ434-444-44-4-44-4-444-4-444-400000000000000000000000000000000000000
χ444-444-44-4-4-444-4-444-44-400000000000000000000000000000000000000
χ454-44-44-44-44040-40-40000000000000000000000000000000000022−220000
χ464-44-44-44-44040-40-400000000000000000000000000000000000−22220000
χ474-44-44-44-4-40-404040000000004i−4i000000000000000000000000000000
χ484-44-44-44-4-40-40404000000000−4i4i000000000000000000000000000000
χ494-4-44-4-44400000000000000000022−2222−2200002-2-22000000000000000000
χ504-4-44-4-44400000000000000000022−22−22220000-222-2000000000000000000
χ514-4-44-4-444000000000000000000−222222−220000-222-2000000000000000000
χ524-4-44-4-444000000000000000000−2222−222200002-2-22000000000000000000
χ534-4-4-444-44040-40-40400000000000000000000000000000000000022−2200
χ544-4-4-444-44040-40-404000000000000000000000000000000000000−222200
χ554-4-4-444-440-404040-400004-40000000000000000000000000000000000
χ564-4-4-444-440-404040-40000-440000000000000000000000000000000000

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