Finite Group Databasebeta

← Group #283501

Character table — Group #283501

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422224444444488888888888822444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-111-1
χ511111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1111
χ711111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11
χ9111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111
χ10111111111111111111-1-11111-1-111-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-11111-1
χ13111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-1-1
χ14111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111
χ15111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-11111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-11
χ172222222222-2-2-2-222-2-200222200-2-200000022-2-2000000-200000000000000
χ182222222222-2-2-2-222-2-20022-2-20022000000-2-222000000-200000000000000
χ192222222222-2-2-2-222-2-200-2-22200-2-2000000-2-222000000200000000000000
χ202222222222-2-2-2-222-2-200-2-2-2-2002200000022-2-2000000200000000000000
χ2122222222-2-22222-2-2-2-22200002200-2-222-2-20000000000000-200000000000
χ2222222222-2-22222-2-2-2-2220000-2-200-2-2-2-2220000000000000200000000000
χ2322222222-2-22222-2-2-2-2-2-20000220022-2-2220000000000000-200000000000
χ2422222222-2-22222-2-2-2-2-2-20000-2-2002222-2-20000000000000200000000000
χ2522-2-22-2-222222-2-2-2-2-2200002i−2i002i−2i000000000000002-200000000002i−2i000
χ2622-2-22-2-222222-2-2-2-2-2200002i−2i002i−2i00000000000000-220000000000−2i2i000
χ2722-2-22-2-222222-2-2-2-2-220000−2i2i00−2i2i000000000000002-20000000000−2i2i000
χ2822-2-22-2-222222-2-2-2-2-220000−2i2i00−2i2i00000000000000-2200000000002i−2i000
χ2922-2-22-2-2222-2-222-2-22-22-2002i−2i00−2i2i2-20000000000000002i−2i000000000000
χ3022-2-22-2-2222-2-222-2-22-22-200−2i2i002i−2i2-2000000000000000−2i2i000000000000
χ3122-2-22-2-2222-2-222-2-22-2-22002i−2i00−2i2i-22000000000000000−2i2i000000000000
χ3222-2-22-2-2222-2-222-2-22-2-2200−2i2i002i−2i-220000000000000002i−2i000000000000
χ3322-2-22-2-22-2-2-2-22222-222-200000000-220000000000000000002-2002-200000
χ3422-2-22-2-22-2-2-2-22222-222-200000000-22000000000000000000-2200-2200000
χ3522-2-22-2-22-2-2-2-22222-22-22000000002-20000000000000000002-200-2200000
χ3622-2-22-2-22-2-2-2-22222-22-22000000002-2000000000000000000-22002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-4-44-4-44-4-444-4-4444-400000000000000000000000000000000000000000
χ3944-4-4-444-400000000000000000000002i2−2i2000022−222i2i−2i−2i00000000000000000
χ4044-4-4-444-400000000000000000000002i2−2i20000−2222−2i−2i2i2i00000000000000000
χ4144-4-4-444-40000000000000000000000−2i22i2000022−22−2i−2i2i2i00000000000000000
χ4244-4-4-444-40000000000000000000000−2i22i20000−22222i2i−2i−2i00000000000000000
χ434-44-444-4-4004-44-40000000000000000000000000000000000000000002i2−2i20
χ444-44-444-4-4004-44-4000000000000000000000000000000000000000000−2i22i20
χ454-44-444-4-400-44-4400000000004i−4i000000000000000000000000000000000
χ464-44-444-4-400-44-440000000000−4i4i000000000000000000000000000000000
χ474-44-4-4-4444-400004-4000000000000000000000022−2222−2200000000000000000
χ484-44-4-4-4444-400004-40000000000000000000000−2222−222200000000000000000
χ494-44-4-4-444-440000-440000000000000000004-400000000000000000000000
χ504-44-4-4-444-440000-44000000000000000000-4400000000000000000000000
χ514-4-444-44-4004-4-440000000000000000004i−4i0000000000000000000000000
χ524-4-444-44-4004-4-44000000000000000000−4i4i0000000000000000000000000
χ534-4-444-44-400-444-40000000000000000000000002i2−2i2−2i22i200000000000000000
χ544-4-444-44-400-444-4000000000000000000000000−2i22i22i2−2i200000000000000000
χ554-4-44-44-444-40000-44000000000000000000000000000000000022−220000000
χ564-4-44-44-444-40000-440000000000000000000000000000000000−22220000000
χ574-4-44-44-44-4400004-400004-40000000000000000000000000000000000000
χ584-4-44-44-44-4400004-40000-440000000000000000000000000000000000000
χ598888-8-8-8-8000000000000000000000000000000000000000000000000000

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