Finite Group Databasebeta

← Group #340992

Character table — Group #340992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111
χ51111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-11-1-11-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-11-1-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-11
χ11111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-111-1-111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1-1-111111-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-11-1
χ172222222222-22-2-2-22-2-22222002200000000-2-200000000-20200-2000000000
χ182222222222-22-2-2-22-2-2222200-2-200000000-2-20000000020-2002000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20022000000002200000000-20-2002000000000
χ202222222222-22-2-2-22-2-2-2-2-2-200-2-200000000220000000020200-2000000000
χ2122222222-2-22-2222-2-2-20000220022-2-222-2-200000000000-20000000000000
χ2222222222-2-22-2222-2-2-200002200-2-222-2-22200000000000-20000000000000
χ2322222222-2-22-2222-2-2-20000-2-20022-2-2-2-2220000000000020000000000000
χ2422222222-2-22-2222-2-2-20000-2-200-2-22222-2-20000000000020000000000000
χ252-22-2-222-20020-2-22000i2i2−i2−i22-2002i−2i002i−2i00i2−i222−2−222−2−20000000000i2−i2000
χ262-22-2-222-20020-2-22000i2i2−i2−i22-200−2i2i00−2i2i00i2−i2−2−222−2−2220000000000i2−i2000
χ272-22-2-222-20020-2-22000i2i2−i2−i2-22002i−2i00−2i2i00i2−i222−2−2−2−2220000000000−i2i2000
χ282-22-2-222-20020-2-22000i2i2−i2−i2-2200−2i2i002i−2i00i2−i2−2−22222−2−20000000000−i2i2000
χ292-22-2-222-20020-2-22000−i2−i2i2i22-2002i−2i002i−2i00−i2i2−2−222−2−2220000000000−i2i2000
χ302-22-2-222-20020-2-22000−i2−i2i2i22-200−2i2i00−2i2i00−i2i222−2−222−2−20000000000−i2i2000
χ312-22-2-222-20020-2-22000−i2−i2i2i2-22002i−2i00−2i2i00−i2i2−2−22222−2−20000000000i2−i2000
χ322-22-2-222-20020-2-22000−i2−i2i2i2-2200−2i2i002i−2i00−i2i222−2−2−2−2220000000000i2−i2000
χ332-2-2-22-22222-2-22-22-2-220000000000000000002i−2i2i−2i00000002-202i−2i0000000
χ342-2-2-22-22222-2-22-22-2-220000000000000000002i−2i2i−2i0000000-220−2i2i0000000
χ352-2-2-22-22222-2-22-22-2-22000000000000000000−2i2i−2i2i00000002-20−2i2i0000000
χ362-2-2-22-22222-2-22-22-2-22000000000000000000−2i2i−2i2i0000000-2202i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-44-400404-4-400000000000004-400000000000000000000000000000
χ3944-44-4-44-400404-4-40000000000000-4400000000000000000000000000000
χ4044-44-4-44-400-40-4440000000000000000000002i2−2i2−2i22i20000000000000000000
χ4144-44-4-44-400-40-444000000000000000000000−2i22i22i2−2i20000000000000000000
χ4244-4-444-4-44-404000-4004-44-40000000000000000000000000000000000000
χ4344-4-444-4-44-404000-400-44-440000000000000000000000000000000000000
χ4444-4-444-4-4-440-400040000000000000000000000002i2−2i22i2−2i2000000000000000
χ4544-4-444-4-4-440-40004000000000000000000000000−2i22i2−2i22i2000000000000000
χ464-4444-4-4-44-40-400040000000000000000000000000000000000002i2−2i200000
χ474-4444-4-4-44-40-40004000000000000000000000000000000000000−2i22i200000
χ484-4444-4-4-4-4404000-4000000004-4000000000000000000000000000000000
χ494-4444-4-4-4-4404000-400000000-44000000000000000000000000000000000
χ504-44-4-444-400-4044-40002i22i2−2i2−2i2000000000000−2i22i200000000000000000000000
χ514-44-4-444-400-4044-4000−2i2−2i22i22i20000000000002i2−2i200000000000000000000000
χ524-4-44-44-4400000000002i2−2i2−2i22i2000000000022−220000002i−2i−2i2i000000000000000
χ534-4-44-44-4400000000002i2−2i2−2i22i20000000000−2222000000−2i2i2i−2i000000000000000
χ544-4-44-44-440000000000−2i22i22i2−2i2000000000022−22000000−2i2i2i−2i000000000000000
χ554-4-44-44-440000000000−2i22i22i2−2i20000000000−22220000002i−2i−2i2i000000000000000
χ564-4-4-44-444444-4-44-4-44-400000000000000000000000000000000000000000
χ574-4-4-44-444-4-444-44-44-4400000000000000000000000000000000000000000
χ584-4-4-44-444-4-4-444-4444-400000000000000000000000000000000000000000
χ59888-8-8-8-88000000000000000000000000000000000000000000000000000

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