Finite Group Databasebeta

← Group #333458

Character table — Group #333458

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-11-1
χ31111111111111111111111-1-111-1-111-1-111-1-1-1-1-111-1-111111-1-1-1-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-111-1-11111
χ511111111111111111111-1-1111111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-1-11
χ611111111111111111111-1-111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-1111111-1-1-11
χ9111111111111111111-1-1111111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-111-11
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1111-1111111-1-1-1-1-1-1
χ11111111111111111111-1-111-1-111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ12111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-11
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-111-1-11111111-1
χ15111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-111-1-1-11111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ17222222222-22-22-22-2-2-2220022002200-2-2000000-20000-2000000000000
χ18222222222-22-22-22-2-2-22200-2-200-2-2002200000020000-2000000000000
χ19222222222-22-22-22-2-2-2-2-2002200-2-20022000000-200002000000000000
χ20222222222-22-22-22-2-2-2-2-200-2-2002200-2-2000000200002000000000000
χ2122222222-22-22-22-22-2-20022002200-2-2002200000-2-2000000000000000
χ2222222222-22-22-22-22-2-2002200-2-2002200-2-2000002-2000000000000000
χ2322222222-22-22-22-22-2-200-2-20022002200-2-200000-22000000000000000
χ2422222222-22-22-22-22-2-200-2-200-2-200-2-200220000022000000000000000
χ252-2-2-22-222-2-222-2-222-22000000000000000022-2-20002-202-20000000000
χ262-2-2-22-222-2-222-2-222-22000000000000000022-2-2000-220-220000000000
χ272-2-2-22-222-2-222-2-222-220000000000000000-2-2220002-20-220000000000
χ282-2-2-22-222-2-222-2-222-220000000000000000-2-222000-2202-20000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-4-44-440-40-4040004-4000000000000000000000000000000000000
χ31444-4-4-44-440-40-404000-44000000000000000000000000000000000000
χ32444-4-4-44-4-404040-4000000000000000000000000000000022−2200000000
χ33444-4-4-44-4-404040-40000000000000000000000000000000−222200000000
χ3444-44-4-4-4404040-40-400000000000000000000000000000000002i2−2i20000
χ3544-44-4-4-4404040-40-40000000000000000000000000000000000−2i22i20000
χ3644-44-4-4-440-40-4040400004-40000000000000000000000000000000000
χ3744-44-4-4-440-40-404040000-440000000000000000000000000000000000
χ3844-4-444-4-400000000000000000022−22000022−222-22-2000000000000000000
χ3944-4-444-4-400000000000000000022−220000−2222-22-22000000000000000000
χ4044-4-444-4-4000000000000000000−2222000022−22-22-22000000000000000000
χ4144-4-444-4-4000000000000000000−22220000−22222-22-2000000000000000000
χ424-4444-4-4-40000000000000000000022−2222−22002-2-22000000000000000000
χ434-4444-4-4-40000000000000000000022−22−222200-222-2000000000000000000
χ444-4444-4-4-400000000000000000000−222222−2200-222-2000000000000000000
χ454-4444-4-4-400000000000000000000−2222−2222002-2-22000000000000000000
χ464-44-4-44-44040-40-4040000000000000000000000000000000022−22000000
χ474-44-4-44-44040-40-40400000000000000000000000000000000−2222000000
χ484-44-4-44-440-404040-4000000004-4000000000000000000000000000000
χ494-44-4-44-440-404040-400000000-44000000000000000000000000000000
χ504-4-44-444-44040-40-400000004-400000000000000000000000000000000
χ514-4-44-444-44040-40-40000000-4400000000000000000000000000000000
χ524-4-44-444-4-40-4040400000000000000000000000000000000000002i2−2i200
χ534-4-44-444-4-40-404040000000000000000000000000000000000000−2i22i200
χ544-4-4-44-44444-4-444-4-4-4400000000000000000000000000000000000000
χ554-4-4-44-4444-4-444-4-444-400000000000000000000000000000000000000
χ564-4-4-44-444-444-4-444-44-400000000000000000000000000000000000000

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