Finite Group Databasebeta

← Group #345608

Character table — Group #345608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-111-1-11-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-111-1-111-1-1
χ511111111111111111111-1-11111-1-11111-1-1-1-1-1-11-1-1111-11-1-111-1-1-1-11-1
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-11111
χ711111111111111111111-1-1-1-1111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-1-1111111-1-1-11
χ9111111111111111111-1-111111111-1-1-1-111-1-1-1-11-1-111-111-1-1-1-1-1-111-11
χ10111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-11-1-1-11111-1-111
χ12111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-111-1-111111-1
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11-1-1111111-11
χ15111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-11111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-111
χ172222222222-2-22-2-22-2-200222200220000-2-20000000000-2-20000000000
χ182222222222-2-22-2-22-2-20022-2-200-2-20000220000000000-220000000000
χ192222222222-2-22-2-22-2-200-2-22200-2-200002200000000002-20000000000
χ202222222222-2-22-2-22-2-200-2-2-2-200220000-2-20000000000220000000000
χ2122222222-2-222-222-2-2-2220000220022-2-2000000-20000-2000000000000
χ2222222222-2-222-222-2-2-2220000-2-200-2-22200000020000-2000000000000
χ2322222222-2-222-222-2-2-2-2-200002200-2-222000000-200002000000000000
χ2422222222-2-222-222-2-2-2-2-20000-2-20022-2-2000000200002000000000000
χ2522-2-222-2-22222-2-2-2-2-22000000000000000022-2-202-22-20000000000000
χ2622-2-222-2-22222-2-2-2-2-22000000000000000022-2-20-22-220000000000000
χ2722-2-222-2-22222-2-2-2-2-220000000000000000-2-22202-2-220000000000000
χ2822-2-222-2-22222-2-2-2-2-220000000000000000-2-2220-222-20000000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-4-44-400000000000000000022−2222−2200002-22-2000000000000000000
χ31444-4-4-44-400000000000000000022−22−22220000-22-22000000000000000000
χ32444-4-4-44-4000000000000000000−222222−220000-22-22000000000000000000
χ33444-4-4-44-4000000000000000000−2222−222200002-22-2000000000000000000
χ3444-44-4-4-4400000000000000000000002i2−2i22i2−2i22-2-22000000000000000000
χ3544-44-4-4-4400000000000000000000002i2−2i2−2i22i2-222-2000000000000000000
χ3644-44-4-4-440000000000000000000000−2i22i22i2−2i2-222-2000000000000000000
χ3744-44-4-4-440000000000000000000000−2i22i2−2i22i22-2-22000000000000000000
χ3844-4-444-4-444-4-4-444-44-400000000000000000000000000000000000000
χ3944-4-444-4-4-4-4444-4-444-400000000000000000000000000000000000000
χ4044-4-444-4-4-4-4-4-44444-4400000000000000000000000000000000000000
χ414-4444-4-4-4004-404-40000000000000000000000000000000000022−220000
χ424-4444-4-4-4004-404-400000000000000000000000000000000000−22220000
χ434-4444-4-4-400-440-440004-4000000000000000000000000000000000000
χ444-4444-4-4-400-440-44000-44000000000000000000000000000000000000
χ454-44-4-44-444-400400-40000004i−4i00000000000000000000000000000000
χ464-44-4-44-444-400400-4000000−4i4i00000000000000000000000000000000
χ474-44-4-44-44-4400-40040000000000000000000000000000000022−22000000
χ484-44-4-44-44-4400-400400000000000000000000000000000000−2222000000
χ494-4-44-444-44-400-40040000000000000000000000000000002i2−2i200000000
χ504-4-44-444-44-400-4004000000000000000000000000000000−2i22i200000000
χ514-4-44-444-4-4400400-400004-40000000000000000000000000000000000
χ524-4-44-444-4-4400400-40000-440000000000000000000000000000000000
χ534-4-4-44-444004-40-440000000004-4000000000000000000000000000000
χ544-4-4-44-444004-40-44000000000-44000000000000000000000000000000
χ554-4-4-44-44400-4404-4000000000000000000000000000000000000022−2200
χ564-4-4-44-44400-4404-40000000000000000000000000000000000000−222200

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