Finite Group Databasebeta

← Group #345393

Character table — Group #345393

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-111-1-1-11
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-111-1-11111
χ511111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1111-1
χ611111111111111111111-1-111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11111-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111111-1
χ9111111111111111111-1-1111111-1-11111-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-11-1
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-111-1-1
χ11111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ12111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1-11-1
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-11
χ15111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ172222222222-22-2-2-22-2-222002200220000-2-2000000-2-200000000000000
χ182222222222-22-2-2-22-2-22200-2-200-2-2000022000000-2200000000000000
χ192222222222-22-2-2-22-2-2-2-2002200-2-20000220000002-200000000000000
χ202222222222-22-2-2-22-2-2-2-200-2-200220000-2-20000002200000000000000
χ2122222222-2-22-2222-2-2-2002200220022-2-2000000-2-20000000000000000
χ2222222222-2-22-2222-2-2-2002200-2-200-2-222000000-220000000000000000
χ2322222222-2-22-2222-2-2-200-2-2002200-2-2220000002-20000000000000000
χ2422222222-2-22-2222-2-2-200-2-200-2-20022-2-2000000220000000000000000
χ252-2-2-2222-2222-2-2-22-2-22000000000000000022-2-200002i−2i2i−2i0000000000
χ262-2-2-2222-2222-2-2-22-2-22000000000000000022-2-20000−2i2i−2i2i0000000000
χ272-2-2-2222-2222-2-2-22-2-220000000000000000-2-22200002i−2i−2i2i0000000000
χ282-2-2-2222-2222-2-2-22-2-220000000000000000-2-2220000−2i2i2i−2i0000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-44-4-4-400404-4-4000000000000000000000000000000000000022−2200
χ31444-44-4-4-400404-4-40000000000000000000000000000000000000−222200
χ32444-44-4-4-400-40-4440000000004i−4i000000000000000000000000000000
χ33444-44-4-4-400-40-444000000000−4i4i000000000000000000000000000000
χ3444-44-44-4-44-404000-40000000000000000000000000000000022−22000000
χ3544-44-44-4-44-404000-400000000000000000000000000000000−2222000000
χ3644-44-44-4-4-440-400040000004i−4i00000000000000000000000000000000
χ3744-44-44-4-4-440-40004000000−4i4i00000000000000000000000000000000
χ3844-4-4-4-44400000000000000000022−2222−2200002-22-2000000000000000000
χ3944-4-4-4-44400000000000000000022−22−22220000-22-22000000000000000000
χ4044-4-4-4-444000000000000000000−222222−220000-22-22000000000000000000
χ4144-4-4-4-444000000000000000000−2222−222200002-22-2000000000000000000
χ424-444-4-44-400000000000000000000002i2−2i22i2−2i22-2-22000000000000000000
χ434-444-4-44-400000000000000000000002i2−2i2−2i22i2-222-2000000000000000000
χ444-444-4-44-40000000000000000000000−2i22i22i2−2i2-222-2000000000000000000
χ454-444-4-44-40000000000000000000000−2i22i2−2i22i22-2-22000000000000000000
χ464-44-4-44-444-40-40004004-4000000000000000000000000000000000000
χ474-44-4-44-444-40-4000400-44000000000000000000000000000000000000
χ484-44-4-44-44-4404000-40000000000000000000000000000002i2−2i200000000
χ494-44-4-44-44-4404000-4000000000000000000000000000000−2i22i200000000
χ504-4-444-4-440040-44-4000004i−4i0000000000000000000000000000000000
χ514-4-444-4-440040-44-400000−4i4i0000000000000000000000000000000000
χ524-4-444-4-4400-404-440000000000000000000000000000000000022−220000
χ534-4-444-4-4400-404-4400000000000000000000000000000000000−22220000
χ544-4-4-4444-444-4-444-4-44-400000000000000000000000000000000000000
χ554-4-4-4444-4-4-444-4-4444-400000000000000000000000000000000000000
χ564-4-4-4444-4-4-4-4444-44-4400000000000000000000000000000000000000

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