Finite Group Databasebeta

← Group #166756

Character table — Group #166756

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444422444444442244444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111-111-1-1-111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11111
χ911111111-1-1-1-1-1-11-1-11111111-111-1-1-1-11111-1-1-1-1-1-111-111-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11-1-11111111-111-1-1-1-1-1-1-1-11111-1-111-111-1-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1111111-1-1-1-111-11-1-1-1111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-11-1-11111111-1-1-1-1-111-1-1-1-1111111-11-1-1-11-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-11-1-111111-1-1-11111-1-11111-1-1-1-1-11-1-111-11-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-11111-11-1-111-1111-1-111-1-1-1-111
χ1511111111-1-1-1-1-1-11-1-111111-1-1-1-1-111111111-1-1-1-11-11-11-11-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-111111-11-11-11-111-1-1-1-11111-1-1
χ1722222222222222-2-2-22-2-2-2222-200-2-20000000000000-22000000000000000
χ1822222222222222-2-2-22-2-2-22-2-2-2002200000000000002-2000000000000000
χ19222222222222-2-22-2-2-2-2-22-20020000000000000002-20002-2000000000000
χ20222222222222-2-22-2-2-2-2-22-2002000000000000000-22000-22000000000000
χ21222222222222-2-2-222-222-2-200-222002200000000-20000-200000000000000
χ22222222222222-2-2-222-222-2-200-2-2-200-2-20000000020000200000000000000
χ2322222222-2-2-2-222222-2-2-22-200-200000000000000022000-2-2000000000000
χ2422222222-2-2-2-222222-2-2-22-200-2000000000000000-2-200022000000000000
χ2522222222-2-2-2-222-2-2-2-222-2-20022200-2-20000000020000-200000000000000
χ2622222222-2-2-2-222-2-2-2-222-2-2002-2-2002200000000-20000200000000000000
χ2722222222-2-2-2-2-2-2-2222-2-2-2222200220000000000000-2-2000000000000000
χ2822222222-2-2-2-2-2-2-2222-2-2-22-2-2200-2-2000000000000022000000000000000
χ2922-2-222-2-22i2i−2i−2i0002i−2i02-2000002-2002i−2ii2i2−i2−i222−2−20000000000000000i2−i22−2
χ3022-2-222-2-22i2i−2i−2i0002i−2i02-2000002-2002i−2i−i2−i2i2i2−2−2220000000000000000−i2i2−22
χ3122-2-222-2-22i2i−2i−2i0002i−2i02-200000-2200−2i2ii2i2−i2−i222−2−20000000000000000−i2i2−22
χ3222-2-222-2-22i2i−2i−2i0002i−2i02-200000-2200−2i2i−i2−i2i2i2−2−2220000000000000000i2−i22−2
χ3322-2-222-2-2−2i−2i2i2i000−2i2i02-2000002-200−2i2ii2i2−i2−i2−2−2220000000000000000i2−i2−22
χ3422-2-222-2-2−2i−2i2i2i000−2i2i02-2000002-200−2i2i−i2−i2i2i222−2−20000000000000000−i2i22−2
χ3522-2-222-2-2−2i−2i2i2i000−2i2i02-200000-22002i−2ii2i2−i2−i2−2−2220000000000000000−i2i22−2
χ3622-2-222-2-2−2i−2i2i2i000−2i2i02-200000-22002i−2i−i2−i2i2i222−2−20000000000000000i2−i2−22
χ37444-4-4-44-40000000004000-44-400000000000000000000000000000000000
χ38444-4-4-44-40000000004000-4-4400000000000000000000000000000000000
χ39444-4-4-44-4000000000-40004000004i−4i000000000000000000000000000000
χ40444-4-4-44-4000000000-4000400000−4i4i000000000000000000000000000000
χ4144-4-444-4-44i4i−4i−4i000−4i4i0-44000000000000000000000000000000000000000
χ4244-4-444-4-4−4i−4i4i4i0004i−4i0-44000000000000000000000000000000000000000
χ434-444-44-4-4000000400000-40000000000000022−2222−2200000000000000000000
χ444-444-44-4-4000000400000-400000000000000−2222−222200000000000000000000
χ454-444-44-4-4000000-400000400000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-44-4-4000000-40000040000000000−2i22i2−2i22i2000000000000000000000000
χ474-44-44-4-444i−4i4i−4i0000000000000000000000000000000000000002-22i−2i0000
χ484-44-44-4-444i−4i4i−4i000000000000000000000000000000000000000-22−2i2i0000
χ494-44-44-4-44−4i4i−4i4i0000000000000000000000000000000000000002-2−2i2i0000
χ504-44-44-4-44−4i4i−4i4i000000000000000000000000000000000000000-222i−2i0000
χ514-4-444-44-44-4-44000000000000000000000000000000000002i−2i2i−2i00000000
χ524-4-444-44-44-4-4400000000000000000000000000000000000−2i2i−2i2i00000000
χ534-4-444-44-4-444-4000000000000000000000000000000000002i−2i−2i2i00000000
χ544-4-444-44-4-444-400000000000000000000000000000000000−2i2i2i−2i00000000
χ554-4-4-4-444400004-4000000000000000002-2-222-2-2200000000000000000000
χ564-4-4-4-444400004-400000000000000000-222-2-222-200000000000000000000
χ574-4-4-4-44440000-44000000000000000002-2-22-222-200000000000000000000
χ584-4-4-4-44440000-4400000000000000000-222-22-2-2200000000000000000000
χ5988-88-8-8-88000000000000000000000000000000000000000000000000000

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