Finite Group Databasebeta

← Group #166759

Character table — Group #166759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444422444444444444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-11-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1111111-1-1-1-1
χ51111111111111111111111-1-11-1-1111111111111-1-1-11-111-11-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-111111111
χ71111111111111111111111-1-11-1-1-1-1-1-1111111111-11-11-1-1-1-11-1-11111-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1111-1-1-1-11111
χ911111111-1-1-1-1-1-111-1-1111111-1-1-111-1-11111-1-1-1-11-1-11-1111-11-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-1-1-111111-1-11-1-1-11-1111-1-111-1-111
χ1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-11-11-1-111-111-1-11111-1-1
χ1211111111-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1-11111-1-11-111111-1-1-111-1-1-1-111
χ1311111111-1-1-1-1-1-111-1-11111-1-1-11111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-111-1-11111-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ1611111111-1-1-1-1-1-111-1-11111-1-1-111-1-111-1-1-1-1111111-1-1-111-111-1-1-1-11111-1-1
χ17222222222222222-2-2-2-2-22-200-20022-2-200000000000-20000200000000000
χ18222222222222222-2-2-2-2-22-200-200-2-2220000000000020000-200000000000
χ19222222222222-2-2-22-2-2-2-2-220020000000000000020-2020000-20000000000
χ20222222222222-2-2-22-2-2-2-2-2200200000000000000-2020-2000020000000000
χ21222222222222-2-2-2-22222-2-222-2220000000000000-200000-2000000000000
χ22222222222222-2-2-2-22222-2-2-2-2-2-2-200000000000002000002000000000000
χ2322222222-2-2-2-222-2222-2-2-2200-2000000000000002020-20000-20000000000
χ2422222222-2-2-2-222-2222-2-2-2200-200000000000000-20-202000020000000000
χ2522222222-2-2-2-222-2-2-2-222-2-2222-2-20000000000000200000-2000000000000
χ2622222222-2-2-2-222-2-2-2-222-2-2-2-22220000000000000-2000002000000000000
χ2722222222-2-2-2-2-2-22-222-2-22-200200222200000000000-20000-200000000000
χ2822222222-2-2-2-2-2-22-222-2-22-200200-2-2-2-20000000000020000200000000000
χ2922-2-22-2-222i2i−2i−2i00002i−2i2-2002i−2i02-2000022−2−2i2i2−i2−i20000000000000000i2−i22−2
χ3022-2-22-2-222i2i−2i−2i00002i−2i2-2002i−2i02-20000−2−222−i2−i2i2i20000000000000000−i2i2−22
χ3122-2-22-2-222i2i−2i−2i00002i−2i2-200−2i2i0-22000022−2−2i2i2−i2−i20000000000000000−i2i2−22
χ3222-2-22-2-222i2i−2i−2i00002i−2i2-200−2i2i0-220000−2−222−i2−i2i2i20000000000000000i2−i22−2
χ3322-2-22-2-22−2i−2i2i2i0000−2i2i2-2002i−2i0-22000022−2−2−i2−i2i2i20000000000000000i2−i2−22
χ3422-2-22-2-22−2i−2i2i2i0000−2i2i2-2002i−2i0-220000−2−222i2i2−i2−i20000000000000000−i2i22−2
χ3522-2-22-2-22−2i−2i2i2i0000−2i2i2-200−2i2i02-2000022−2−2−i2−i2i2i20000000000000000−i2i22−2
χ3622-2-22-2-22−2i−2i2i2i0000−2i2i2-200−2i2i02-20000−2−222i2i2−i2−i20000000000000000i2−i2−22
χ374444-4-4-4-400004-4000000000000000002-22-22-22-200000000000000000000
χ384444-4-4-4-400004-400000000000000000-22-22-22-2200000000000000000000
χ394444-4-4-4-40000-44000000000000000002-22-2-22-2200000000000000000000
χ404444-4-4-4-40000-4400000000000000000-22-222-22-200000000000000000000
χ4144-4-44-4-444i4i−4i−4i0000−4i4i-44000000000000000000000000000000000000000
χ4244-4-44-4-44−4i−4i4i4i00004i−4i-44000000000000000000000000000000000000000
χ4344-4-4-444-40000000400000-400000000022−22−2222000000000000000000000000
χ4444-4-4-444-40000000400000-4000000000−222222−22000000000000000000000000
χ4544-4-4-444-40000000-400000400000000000002i2−2i2−2i22i200000000000000000000
χ4644-4-4-444-40000000-40000040000000000000−2i22i22i2−2i200000000000000000000
χ474-44-444-4-44-44-4000000000000000000000000000000002i−2i0002i−2i00000000
χ484-44-444-4-44-44-400000000000000000000000000000000−2i2i000−2i2i00000000
χ494-44-444-4-4-44-44000000000000000000000000000000002i−2i000−2i2i00000000
χ504-44-444-4-4-44-4400000000000000000000000000000000−2i2i0002i−2i00000000
χ514-44-4-4-444000000400000-4000000004i−4i0000000000000000000000000000
χ524-44-4-4-444000000400000-400000000−4i4i0000000000000000000000000000
χ534-44-4-4-444000000-40000040000004-4000000000000000000000000000000
χ544-44-4-4-444000000-4000004000000-44000000000000000000000000000000
χ554-4-444-44-44i−4i−4i4i0000000000000000000000000000000000000002i−2i2-20000
χ564-4-444-44-44i−4i−4i4i000000000000000000000000000000000000000−2i2i-220000
χ574-4-444-44-4−4i4i4i−4i0000000000000000000000000000000000000002i−2i-220000
χ584-4-444-44-4−4i4i4i−4i000000000000000000000000000000000000000−2i2i2-20000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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