Finite Group Databasebeta

← Group #335576

Character table — Group #335576

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888222444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-1-1-11-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-11-1-11-11-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-11
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-1-11-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-111-11-1
χ172222222222-2-222-2-2-2-20000222200-2-20022-2-2000000000000-20000000000
χ182222222222-2-222-2-2-2-2000022-2-200-2-200-2-22200000000000020000000000
χ192222222222-2-222-2-2-2-20000-2-222002200-2-222000000000000-20000000000
χ202222222222-2-222-2-2-2-20000-2-2-2-200220022-2-200000000000020000000000
χ2122222222-2-222-2-222-2-2222200002200-2-2000000000000-20020-2000000000
χ2222222222-2-222-2-222-2-222220000-2-200-2-2000000000000200-202000000000
χ2322222222-2-222-2-222-2-2-2-2-2-20000220022000000000000-200-202000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000-2-2002200000000000020020-2000000000
χ2522-2-2-222-22-2002-20000i2i2−i2−i22i−2i2-20000i2−i22i−2i0022−2−222−2−2000000i2−i20000000
χ2622-2-2-222-22-2002-20000i2i2−i2−i22i−2i-220000i2−i2−2i2i0022−2−2−2−222000000−i2i20000000
χ2722-2-2-222-22-2002-20000i2i2−i2−i2−2i2i2-20000i2−i2−2i2i00−2−222−2−222000000i2−i20000000
χ2822-2-2-222-22-2002-20000i2i2−i2−i2−2i2i-220000i2−i22i−2i00−2−22222−2−2000000−i2i20000000
χ2922-2-2-222-22-2002-20000−i2−i2i2i22i−2i2-20000−i2i22i−2i00−2−222−2−222000000−i2i20000000
χ3022-2-2-222-22-2002-20000−i2−i2i2i22i−2i-220000−i2i2−2i2i00−2−22222−2−2000000i2−i20000000
χ3122-2-2-222-22-2002-20000−i2−i2i2i2−2i2i2-20000−i2i2−2i2i0022−2−222−2−2000000−i2i20000000
χ3222-2-2-222-22-2002-20000−i2−i2i2i2−2i2i-220000−i2i22i−2i0022−2−2−2−222000000i2−i20000000
χ332-2-22-22-222222-2-2-2-22-20000000000000000002i−2i2i−2i000002-200000002i−2i000
χ342-2-22-22-222222-2-2-2-22-20000000000000000002i−2i2i−2i00000-220000000−2i2i000
χ352-2-22-22-222222-2-2-2-22-2000000000000000000−2i2i−2i2i000002-20000000−2i2i000
χ362-2-22-22-222222-2-2-2-22-2000000000000000000−2i2i−2i2i00000-2200000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44004-4004-40000000000000000000000000000000000002i2−2i200000
χ39444-4-4-4-44004-4004-4000000000000000000000000000000000000−2i22i200000
χ40444-4-4-4-4400-4400-4400000000004i−4i0000000000000000000000000000000
χ41444-4-4-4-4400-4400-440000000000−4i4i0000000000000000000000000000000
χ4244-4-4-444-4-4400-4400002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ4344-4-4-444-4-4400-440000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ444-444-4-44-400000000002i2−2i22i2−2i20000000000002i2−2i200002-22-2000000000000000
χ454-444-4-44-400000000002i2−2i22i2−2i2000000000000−2i22i20000-22-22000000000000000
χ464-444-4-44-40000000000−2i22i2−2i22i20000000000002i2−2i20000-22-22000000000000000
χ474-444-4-44-40000000000−2i22i2−2i22i2000000000000−2i22i200002-22-2000000000000000
χ484-44-444-4-44-400-4400000000000000000000002i2−2i2−2i22i20000000000000000000
χ494-44-444-4-44-400-440000000000000000000000−2i22i22i2−2i20000000000000000000
χ504-44-444-4-4-44004-4000000000000004i−4i00000000000000000000000000000
χ514-44-444-4-4-44004-400000000000000−4i4i00000000000000000000000000000
χ524-4-44-44-4444-4-4-4-444-4400000000000000000000000000000000000000000
χ534-4-44-44-44-4-44444-4-4-4400000000000000000000000000000000000000000
χ544-4-44-44-44-4-4-4-444444-400000000000000000000000000000000000000000
χ554-4-4-44-444004-400-44004-4-440000000000000000000000000000000000000
χ564-4-4-44-444004-400-4400-444-40000000000000000000000000000000000000
χ574-4-4-44-44400-44004-400000000000000000000000022−22−2222000000000000000
χ584-4-4-44-44400-44004-4000000000000000000000000−222222−22000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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