Finite Group Databasebeta

← Group #345442

Character table — Group #345442

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11-1
χ31111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1111-1-11-1-1-1-111-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-1-11111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-111-11
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-11111-1-1-1-1
χ711111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-11111-11
χ9111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-11
χ10111111111111111111-1-11111-1-1111111111111-11-1-11-1-1-1-1-1-1-11111-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-111111-111-1-1-1-111-1-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1111111-1-1-11
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1111-1
χ15111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-111
χ172222222222-2-2-2-222-2-222000022000022-2-20000-2000000-20000000000
χ182222222222-2-2-2-222-2-2220000-2-20000-2-22200002000000-20000000000
χ192222222222-2-2-2-222-2-2-2-20000220000-2-2220000-200000020000000000
χ202222222222-2-2-2-222-2-2-2-20000-2-2000022-2-20000200000020000000000
χ2122222222-2-22222-2-2-2-20022220022-2-2000000000-200-20000000000000
χ2222222222-2-22222-2-2-2-20022-2-200-2-222000000000200-20000000000000
χ2322222222-2-22222-2-2-2-200-2-22200-2-222000000000-20020000000000000
χ2422222222-2-22222-2-2-2-200-2-2-2-20022-2-200000000020020000000000000
χ252-222-2-2-2222-2-222-2-2-22000000000000000022-2-2002i−2i02i−2i00000000000
χ262-222-2-2-2222-2-222-2-2-22000000000000000022-2-200−2i2i0−2i2i00000000000
χ272-222-2-2-2222-2-222-2-2-220000000000000000-2-222002i−2i0−2i2i00000000000
χ282-222-2-2-2222-2-222-2-2-220000000000000000-2-22200−2i2i02i−2i00000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-44-4-4-40000000000000000000022−220022−222-22-2000000000000000000
χ31444-44-4-4-40000000000000000000022−2200−2222-22-22000000000000000000
χ32444-44-4-4-400000000000000000000−22220022−22-22-22000000000000000000
χ33444-44-4-4-400000000000000000000−222200−22222-22-2000000000000000000
χ3444-44-44-4-44-400004-400000000000000000000000000000022−2200000000
χ3544-44-44-4-44-400004-4000000000000000000000000000000−222200000000
χ3644-44-44-4-4-440000-44004-4000000000000000000000000000000000000
χ3744-44-44-4-4-440000-4400-44000000000000000000000000000000000000
χ3844-4-4-4-444004-44-40000000000000000000000000000000000000022−2200
χ3944-4-4-4-444004-44-400000000000000000000000000000000000000−222200
χ4044-4-4-4-44400-44-44000000004-400000000000000000000000000000000
χ4144-4-4-4-44400-44-4400000000-4400000000000000000000000000000000
χ424-444-4-4-444444-4-4-4-44-400000000000000000000000000000000000000
χ434-444-4-4-44-4-444-4-444-4400000000000000000000000000000000000000
χ444-444-4-4-44-4-4-4-444444-400000000000000000000000000000000000000
χ454-44-4-444-40000000000000000002i2−2i2002i2−2i2002-2-22000000000000000000
χ464-44-4-444-40000000000000000002i2−2i200−2i22i200-222-2000000000000000000
χ474-44-4-444-4000000000000000000−2i22i2002i2−2i200-222-2000000000000000000
χ484-44-4-444-4000000000000000000−2i22i200−2i22i2002-2-22000000000000000000
χ494-4-444-44-44-40000-44000000004i−4i000000000000000000000000000000
χ504-4-444-44-44-40000-4400000000−4i4i000000000000000000000000000000
χ514-4-444-44-4-4400004-4000000000000000000000000000000002i2−2i2000000
χ524-4-444-44-4-4400004-400000000000000000000000000000000−2i22i2000000
χ534-4-4-444-44004-4-4400000000000000000000000000000000000022−220000
χ544-4-4-444-44004-4-44000000000000000000000000000000000000−22220000
χ554-4-4-444-4400-444-40000004-40000000000000000000000000000000000
χ564-4-4-444-4400-444-4000000-440000000000000000000000000000000000

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