Finite Group Databasebeta

← Group #258206

Character table — Group #258206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444424444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111111111-1-11111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-11111-1-11111-111-1-111-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1
χ9111111111111-1-11-1-1-1-111111-111111111-1-1-1-1-1-1-11-11-11-1-111-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-111111-11111-1-1-1-1-1-11111-11-11-11-1-1-1-111-1-111-1-111
χ11111111111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111
χ12111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-11111-1-111-1-1
χ13111111111111-1-11-1-1-1-1111-1-1-11111111111-1-1-1-11-11-1-1-11-1-1-11111-1-1-1-111
χ14111111111111-1-11-1-1-1-1111-1-1-11111-1-1-1-11111111-11-1-1-11-111-1-1-1-11111-1-1
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-2-2-222200000000220000-200-20000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2200000000-2-2000020020000000000000000
χ19222222222222-2-2-22222-2-2-222-200000000-2-20000200-20000000000000000
χ20222222222222-2-2-22222-2-2-2-2-2-200000000220000-20020000000000000000
χ2122222222-2-2-2-222222-2-2-2-2200-20000000000000002-200-220000000000000
χ2222222222-2-2-2-222222-2-2-2-2200-2000000000000000-22002-20000000000000
χ2322222222-2-2-2-222-2-2-22222-200-222-2-200000000000000-2002000000000000
χ2422222222-2-2-2-222-2-2-22222-200-2-2-22200000000000000200-2000000000000
χ2522222222-2-2-2-2-2-22-2-222-2-220020000000000000002200-2-20000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-22002000000000000000-2-200220000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-200222-2-200000000000000200-2000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2002-2-22200000000000000-2002000000000000
χ2922-2-22-2-2222-2-200-200002-220002i−2i2i−2i2i2i−2i−2i0000000000000000002-2000000
χ3022-2-22-2-2222-2-200-200002-220002i−2i2i−2i−2i−2i2i2i000000000000000000-22000000
χ3122-2-22-2-2222-2-200-200002-22000−2i2i−2i2i2i2i−2i−2i000000000000000000-22000000
χ3222-2-22-2-2222-2-200-200002-22000−2i2i−2i2i−2i−2i2i2i0000000000000000002-2000000
χ3322-2-22-2-22-2-22200200002-2-20002i−2i−2i2i00000022-2-2000000000000002i−2i0000
χ3422-2-22-2-22-2-22200200002-2-20002i−2i−2i2i000000-2-22200000000000000−2i2i0000
χ3522-2-22-2-22-2-22200200002-2-2000−2i2i2i−2i00000022-2-200000000000000−2i2i0000
χ3622-2-22-2-22-2-22200200002-2-2000−2i2i2i−2i000000-2-222000000000000002i−2i0000
χ37444-4-44-4-44-44-400000000000000000000000000000000000000000000022−22
χ38444-4-44-4-44-44-4000000000000000000000000000000000000000000000−2222
χ39444-4-44-4-4-44-4400000000000000000000000000000000000000000002i2−2i200
χ40444-4-44-4-4-44-440000000000000000000000000000000000000000000−2i22i200
χ4144-44-4-44-44-4-440000000000000000000004i−4i000000000000000000000000
χ4244-44-4-44-44-4-44000000000000000000000−4i4i000000000000000000000000
χ4344-44-4-44-4-444-400000000004-400000000000000000000000000000000000
χ4444-44-4-44-4-444-40000000000-4400000000000000000000000000000000000
χ4544-4-44-4-4444-4-40040000-44-40000000000000000000000000000000000000
χ4644-4-44-4-44-4-44400-40000-4440000000000000000000000000000000000000
χ474-444-4-4-4400000004i−4i0000000000000000000000000000002-22i−2i00000000
χ484-444-4-4-4400000004i−4i000000000000000000000000000000-22−2i2i00000000
χ494-444-4-4-440000000−4i4i0000000000000000000000000000002-2−2i2i00000000
χ504-444-4-4-440000000−4i4i000000000000000000000000000000-222i−2i00000000
χ514-44-44-44-400004-40000000000000002i−2i2i−2i002i−2i2i−2i00000000000000000000
χ524-44-44-44-400004-4000000000000000−2i2i−2i2i00−2i2i−2i2i00000000000000000000
χ534-44-44-44-40000-440000000000000002i−2i2i−2i00−2i2i−2i2i00000000000000000000
χ544-44-44-44-40000-44000000000000000−2i2i−2i2i002i−2i2i−2i00000000000000000000
χ554-4-4444-4-40000000004i−4i00000000002-2-22002i−2i−2i2i00000000000000000000
χ564-4-4444-4-40000000004i−4i0000000000-222-200−2i2i2i−2i00000000000000000000
χ574-4-4444-4-4000000000−4i4i00000000002-2-2200−2i2i2i−2i00000000000000000000
χ584-4-4444-4-4000000000−4i4i0000000000-222-2002i−2i−2i2i00000000000000000000
χ598-8-8-8-8888000000000000000000000000000000000000000000000000000

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