Finite Group Databasebeta

← Group #259705

Character table — Group #259705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444444444442244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-11111-1-1-1-11-11-1-11-11-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-11111-1-1-1-1-11-11-1-11-1-1111-1-1-1-111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-1-1-111111-11-1-11-11-1-1-1-111-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-1-1-11111-11-11-1-11-1-11-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-11-1111-1-1-111-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-1111-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-222-2-2-2-20000000000002000-20000000000000
χ182222222222222222-2-2-2-2-2-222-2-2000000000000-200020000000000000
χ19222222222222-2-2-2-2-2-2-2-222-2-222000000000000-200020000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-222220000000000002000-20000000000000
χ2122222222-2-2-2-222-2-22-22-200002-2000000000022000-20-2000000000000
χ2222222222-2-2-2-222-2-22-22-200002-20000000000-2-2000202000000000000
χ2322222222-2-2-2-222-2-2-22-220000-220000000022000-2-2000000000000000
χ2422222222-2-2-2-222-2-2-22-220000-2200000000-2-200022000000000000000
χ2522222222-2-2-2-2-2-2222-22-20000-2200000000002-2000-202000000000000
χ2622222222-2-2-2-2-2-2222-22-20000-220000000000-2200020-2000000000000
χ2722222222-2-2-2-2-2-222-22-2200002-2000000002-2000-22000000000000000
χ2822222222-2-2-2-2-2-222-22-2200002-200000000-220002-2000000000000000
χ2922-2-22-22-22-22-200002-2-222i−2i2i−2i00000022-2-20000000000002i−2i00000000
χ3022-2-22-22-22-22-200002-2-222i−2i2i−2i000000-2-222000000000000−2i2i00000000
χ3122-2-22-22-22-22-200002-2-22−2i2i−2i2i00000022-2-2000000000000−2i2i00000000
χ3222-2-22-22-22-22-200002-2-22−2i2i−2i2i000000-2-2220000000000002i−2i00000000
χ3322-2-22-22-22-22-20000-222-22i−2i−2i2i002i2i−2i−2i000000000000002-20000000000
χ3422-2-22-22-22-22-20000-222-22i−2i−2i2i00−2i−2i2i2i00000000000000-220000000000
χ3522-2-22-22-22-22-20000-222-2−2i2i2i−2i002i2i−2i−2i00000000000000-220000000000
χ3622-2-22-22-22-22-20000-222-2−2i2i2i−2i00−2i−2i2i2i000000000000002-20000000000
χ3744-4-44-44-4-44-44000044-4-4000000000000000000000000000000000000
χ3844-4-44-44-4-44-440000-4-444000000000000000000000000000000000000
χ394-444-4-44-40000004i−4i00000000002i−2i2i−2i2-22-20000000000000000000000
χ404-444-4-44-40000004i−4i0000000000−2i2i−2i2i-22-220000000000000000000000
χ414-444-4-44-4000000−4i4i00000000002i−2i2i−2i-22-220000000000000000000000
χ424-444-4-44-4000000−4i4i0000000000−2i2i−2i2i2-22-20000000000000000000000
χ434-44-444-4-44-4-440000000000000000000000000000000000002i2−2i2000000
χ444-44-444-4-44-4-44000000000000000000000000000000000000−2i22i2000000
χ454-44-444-4-4-444-4000000000000000000000000000000000000002i2−2i20000
χ464-44-444-4-4-444-400000000000000000000000000000000000000−2i22i20000
χ474-4-444-4-4444-4-400000000000000000000000000000000000000002i2−2i200
χ484-4-444-4-4444-4-40000000000000000000000000000000000000000−2i22i200
χ494-4-444-4-44-4-44400000000000000000000000000000000000000000022−22
χ504-4-444-4-44-4-444000000000000000000000000000000000000000000−2222
χ514-4-4-4-444400004-40000000000002-2-222-2-220000000000000000000000
χ524-4-4-4-444400004-4000000000000-222-2-222-20000000000000000000000
χ534-4-4-4-44440000-440000000000002-2-22-222-20000000000000000000000
χ544-4-4-4-44440000-44000000000000-222-22-2-220000000000000000000000
χ55888-8-8-8-88000000000000000000000000000000000000000000000000
χ5688-88-88-8-8000000000000000000000000000000000000000000000000

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