Finite Group Databasebeta

← Group #251361

Character table — Group #251361

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222222224444444444444444442224444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-111111111
χ511111111111111111111-1-111-1-111111111-1-111-11-1-1-1-1-1-11-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-1-1-1-1-11-1-111-1-11-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-11-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11-1-1-111-11-1-1-111-1-111
χ11111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1111-1-1-1-11-1-111-1-111
χ12111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11-11111-11-111-1-111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-1-1-1-111
χ172222222222222222-2-2-2-222-2-2-2-2000000000000-200000020000000000
χ182222222222222222-2-2-2-2-2-2-2-2220000000000002000000-20000000000
χ19222222222222-2-2-2-2-2-2-2-22222-2-20000000000002000000-20000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222000000000000-200000020000000000
χ2122222222-2-2-2-222-2-222-2-2002-200000000000000002002-200-200000000
χ2222222222-2-2-2-222-2-222-2-2002-20000000000000000-200-2200200000000
χ2322222222-2-2-2-222-2-2-2-22200-220000000000002-202000000-2000000000
χ2422222222-2-2-2-222-2-2-2-22200-22000000000000-220-20000002000000000
χ2522222222-2-2-2-2-2-22222-2-200-220000000000000000200-2200-200000000
χ2622222222-2-2-2-2-2-22222-2-200-220000000000000000-2002-200200000000
χ2722222222-2-2-2-2-2-222-2-222002-20000000000002-20-20000002000000000
χ2822222222-2-2-2-2-2-222-2-222002-2000000000000-2202000000-2000000000
χ292-22-2-222-222-2-200002-22-22i−2i002i−2i00002i2i−2i−2i00000002-20000000000000
χ302-22-2-222-222-2-200002-22-22i−2i002i−2i0000−2i−2i2i2i0000000-220000000000000
χ312-22-2-222-222-2-200002-22-2−2i2i00−2i2i00002i2i−2i−2i0000000-220000000000000
χ322-22-2-222-222-2-200002-22-2−2i2i00−2i2i0000−2i−2i2i2i00000002-20000000000000
χ332-22-2-222-222-2-20000-22-222i−2i00−2i2i2i2i−2i−2i00002-200000000000000000000
χ342-22-2-222-222-2-20000-22-222i−2i00−2i2i−2i−2i2i2i0000-2200000000000000000000
χ352-22-2-222-222-2-20000-22-22−2i2i002i−2i2i2i−2i−2i0000-2200000000000000000000
χ362-22-2-222-222-2-20000-22-22−2i2i002i−2i−2i−2i2i2i00002-200000000000000000000
χ374444-4-4-4-44-44-4000000000000000000000000000000000000000022−2200
χ384444-4-4-4-44-44-40000000000000000000000000000000000000000−222200
χ394444-4-4-4-4-44-440000000000000000000000000000000000000000002i2−2i2
χ404444-4-4-4-4-44-44000000000000000000000000000000000000000000−2i22i2
χ4144-4-444-4-400004-40000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ4244-4-444-4-400004-4000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ4344-4-444-4-40000-440000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ4444-4-444-4-40000-44000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ454-44-44-4-444-4-4400000000000000000000000000000000000022−22000000
χ464-44-44-4-444-4-44000000000000000000000000000000000000−2222000000
χ474-44-44-4-44-444-4000000000000000000000000000000000000002i2−2i20000
χ484-44-44-4-44-444-400000000000000000000000000000000000000−2i22i20000
χ494-44-4-444-4-4-44400004-4-44000000000000000000000000000000000000
χ504-44-4-444-4-4-4440000-444-4000000000000000000000000000000000000
χ514-4-44-44-440000004-400000000002-2-222-2-220000000000000000000000
χ524-4-44-44-440000004-40000000000-222-2-222-20000000000000000000000
χ534-4-44-44-44000000-4400000000002-2-22-222-20000000000000000000000
χ544-4-44-44-44000000-440000000000-222-22-2-220000000000000000000000
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-8-888-88-8000000000000000000000000000000000000000000000000

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