Finite Group Databasebeta

← Group #333459

Character table — Group #333459

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-11-1-1-1-1-1-111-1-11-1
χ31111111111111111111111-1-11111-1-111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-111-1-111-1-1
χ511111111111111111111-1-11111-1-111-1-111-1-1-1-1-11-1-11111-1-111-1-1-1-11-1
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-11-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-11-1-1111111-1-1-11
χ9111111111111111111-1-1111111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-111-11
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1-11111-1-111
χ12111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1-1-11111-1-111111-1
χ13111111111111111111-1-1-1-11111111111111111-11-1-11-1-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1111111-11
χ15111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ17222222222-22-22-22-2-2-222220000-2-20022000000-20000-2000000000000
χ18222222222-22-22-22-2-2-222-2-200002200-2-200000020000-2000000000000
χ19222222222-22-22-22-2-2-2-2-22200002200-2-2000000-200002000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000-2-20022000000200002000000000000
χ2122222222-22-22-22-22-2-20000222200-2-2002200000-200-20000000000000
χ2222222222-22-22-22-22-2-2000022-2-2002200-2-200000-20020000000000000
χ2322222222-22-22-22-22-2-20000-2-222002200-2-200000200-20000000000000
χ2422222222-22-22-22-22-2-20000-2-2-2-200-2-200220000020020000000000000
χ252-22-2-2-222-2-222-2-222-22000000000000000022-2-2002-2002-20000000000
χ262-22-2-2-222-2-222-2-222-22000000000000000022-2-200-2200-220000000000
χ272-22-2-2-222-2-222-2-222-220000000000000000-2-222002-200-220000000000
χ282-22-2-2-222-2-222-2-222-220000000000000000-2-22200-22002-20000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ304444-4-4-4-440-40-404000004-40000000000000000000000000000000000
χ314444-4-4-4-440-40-40400000-440000000000000000000000000000000000
χ324444-4-4-4-4-404040-4000000000000000000000000000000000000022−2200
χ334444-4-4-4-4-404040-40000000000000000000000000000000000000−222200
χ3444-4-44-4-4404040-40-400000000000000000000000000000000002i2−2i20000
χ3544-4-44-4-4404040-40-40000000000000000000000000000000000−2i22i20000
χ3644-4-44-4-440-40-404040000004-400000000000000000000000000000000
χ3744-4-44-4-440-40-40404000000-4400000000000000000000000000000000
χ3844-4-4-444-400000000000000000022−222i2−2i200002i−2i2i−2i000000000000000000
χ3944-4-4-444-400000000000000000022−22−2i22i20000−2i2i−2i2i000000000000000000
χ4044-4-4-444-4000000000000000000−22222i2−2i20000−2i2i−2i2i000000000000000000
χ4144-4-4-444-4000000000000000000−2222−2i22i200002i−2i2i−2i000000000000000000
χ424-44-444-4-44040-40-40004-4000000000000000000000000000000000000
χ434-44-444-4-44040-40-4000-44000000000000000000000000000000000000
χ444-44-444-4-4-40-404040000000000000000000000000000000002i2−2i2000000
χ454-44-444-4-4-40-40404000000000000000000000000000000000−2i22i2000000
χ464-44-4-4-44444-4-444-4-4-4400000000000000000000000000000000000000
χ474-44-4-4-4444-4-444-4-444-400000000000000000000000000000000000000
χ484-44-4-4-444-444-4-444-44-400000000000000000000000000000000000000
χ494-4-444-44-4000000000000000000000022−222i2−2i22i−2i−2i2i000000000000000000
χ504-4-444-44-4000000000000000000000022−22−2i22i2−2i2i2i−2i000000000000000000
χ514-4-444-44-40000000000000000000000−22222i2−2i2−2i2i2i−2i000000000000000000
χ524-4-444-44-40000000000000000000000−2222−2i22i22i−2i−2i2i000000000000000000
χ534-4-44-44-44040-40-40400000000000000000000000000000022−2200000000
χ544-4-44-44-44040-40-404000000000000000000000000000000−222200000000
χ554-4-44-44-440-404040-4000000004-4000000000000000000000000000000
χ564-4-44-44-440-404040-400000000-44000000000000000000000000000000

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