Finite Group Databasebeta

← Group #345607

Character table — Group #345607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1111-1-1-1-1-1-1-11
χ31111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-11-1
χ41111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-11-1-1-1-11111-1-1
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-111-1-1-11
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111111-1-11-1
χ9111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-1-1-1111-1
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-11-111-1-111-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-111-11
χ13111111111111111111-1-1-1-11111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1
χ14111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111111-1
χ15111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111111-11
χ16111111111111111111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-111
χ172222222222-2-222-2-2-2-22222000022-2-20000000000-20000-20000000000
χ182222222222-2-222-2-2-2-222-2-20000-2-222000000000020000-20000000000
χ192222222222-2-222-2-2-2-2-2-2220000-2-2220000000000-2000020000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2000022-2-200000000002000020000000000
χ2122222222-2-222-2-222-2-200002222000022-2-2000000000-2-200000000000
χ2222222222-2-222-2-222-2-2000022-2-20000-2-222000000000-2200000000000
χ2322222222-2-222-2-222-2-20000-2-2220000-2-2220000000002-200000000000
χ2422222222-2-222-2-222-2-20000-2-2-2-2000022-2-20000000002200000000000
χ252-222-22-2-22222-2-2-2-2-22000000000000000022-2-22-202-20000000000000
χ262-222-22-2-22222-2-2-2-2-22000000000000000022-2-2-220-220000000000000
χ272-222-22-2-22222-2-2-2-2-220000000000000000-2-2222-20-220000000000000
χ282-222-22-2-22222-2-2-2-2-220000000000000000-2-222-2202-20000000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-44-4-4-44-4004-400000000000000000000000000000000000022−220000
χ31444-44-4-4-44-4004-4000000000000000000000000000000000000−22220000
χ32444-44-4-4-4-4400-4400004-4000000000000000000000000000000000000
χ33444-44-4-4-4-4400-440000-44000000000000000000000000000000000000
χ3444-44-4-4-440000000000000000000022−22002i2−2i22i−2i2i−2i000000000000000000
χ3544-44-4-4-440000000000000000000022−2200−2i22i2−2i2i−2i2i000000000000000000
χ3644-44-4-4-4400000000000000000000−2222002i2−2i2−2i2i−2i2i000000000000000000
χ3744-44-4-4-4400000000000000000000−222200−2i22i22i−2i2i−2i000000000000000000
χ3844-4-4-444-4004-4004-4000000000000000000000000000000002i2−2i2000000
χ3944-4-4-444-4004-4004-400000000000000000000000000000000−2i22i2000000
χ4044-4-4-444-400-4400-44000000004i−4i000000000000000000000000000000
χ4144-4-4-444-400-4400-4400000000−4i4i000000000000000000000000000000
χ424-444-44-4-444-4-4-4-4444-400000000000000000000000000000000000000
χ434-444-44-4-4-4-44444-4-44-400000000000000000000000000000000000000
χ444-444-44-4-4-4-4-4-44444-4400000000000000000000000000000000000000
χ454-44-4-4-4444-400-440000004-40000000000000000000000000000000000
χ464-44-4-4-4444-400-44000000-440000000000000000000000000000000000
χ474-44-4-4-444-44004-40000000000000000000000000000000000000022−2200
χ484-44-4-4-444-44004-400000000000000000000000000000000000000−222200
χ494-4-444-44-40000000000000000002i2−2i20022−22002i−2i−2i2i000000000000000000
χ504-4-444-44-40000000000000000002i2−2i200−222200−2i2i2i−2i000000000000000000
χ514-4-444-44-4000000000000000000−2i22i20022−2200−2i2i2i−2i000000000000000000
χ524-4-444-44-4000000000000000000−2i22i200−2222002i−2i−2i2i000000000000000000
χ534-4-4-444-44004-400-440000004-400000000000000000000000000000000
χ544-4-4-444-44004-400-44000000-4400000000000000000000000000000000
χ554-4-4-444-4400-44004-400000000000000000000000000000022−2200000000
χ564-4-4-444-4400-44004-4000000000000000000000000000000−222200000000

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