Finite Group Databasebeta

← Group #166245

Character table — Group #166245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444444444442224444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111-1-11111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-111-1-1-1-1-1-11111-111-1-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111
χ911111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11-1-11-1-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1111-11-11-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-11-11-111111-1-1-1-11111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-11-1-11-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-11-1-111111-1-111-1-1-1-111
χ1511111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1111-1-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111-111-1-11111-1-111-1-1
χ172222222222222-2-2-2-2-22-2002-20022220000-20000-20000000000000000
χ182222222222222-2-2-2-2-22-2002-200-2-2-2-200002000020000000000000000
χ19222222222222-22-2-2-2-2-2222-222200000000000-2-200000000000000000
χ20222222222222-22-2-2-2-2-22-2-2-22-2-2000000000002200000000000000000
χ21222222222222-2-22222-2-200-2-20000002222000000-2-200000000000000
χ22222222222222-2-22222-2-200-2-2000000-2-2-2-20000002200000000000000
χ2322222222-2-2-2-22-222-2-22-200-220022-2-20000-2000020000000000000000
χ2422222222-2-2-2-22-222-2-22-200-2200-2-222000020000-20000000000000000
χ2522222222-2-2-2-2-2222-2-2-22222-2-2-200000000000-2200000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-2-22-222000000000002-200000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2002200000022-2-2000000-2200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-20022000000-2-2220000002-200000000000000
χ292222-2-2-2-22i2i−2i−2i002i−2i2-20000000000002-22i−2i000000000000002−2i2−i22−2i2−i2
χ302222-2-2-2-22i2i−2i−2i002i−2i2-20000000000002-22i−2i00000000000000−22−i2i2−22−i2i2
χ312222-2-2-2-22i2i−2i−2i002i−2i2-2000000000000-22−2i2i000000000000002−2i2−i2−22−i2i2
χ322222-2-2-2-22i2i−2i−2i002i−2i2-2000000000000-22−2i2i00000000000000−22−i2i22−2i2−i2
χ332222-2-2-2-2−2i−2i2i2i00−2i2i2-20000000000002-2−2i2i000000000000002−2−i2i22−2−i2i2
χ342222-2-2-2-2−2i−2i2i2i00−2i2i2-20000000000002-2−2i2i00000000000000−22i2−i2−22i2−i2
χ352222-2-2-2-2−2i−2i2i2i00−2i2i2-2000000000000-222i−2i000000000000002−2−i2i2−22i2−i2
χ362222-2-2-2-2−2i−2i2i2i00−2i2i2-2000000000000-222i−2i00000000000000−22i2−i22−2−i2i2
χ374444-4-4-4-44i4i−4i−4i00−4i4i-4400000000000000000000000000000000000000
χ384444-4-4-4-4−4i−4i4i4i004i−4i-4400000000000000000000000000000000000000
χ3944-4-444-4-44-44-4000000000000000000000000000000002i−2i2i−2i00000000
χ4044-4-444-4-44-44-400000000000000000000000000000000−2i2i−2i2i00000000
χ4144-4-444-4-4-44-44000000000000000000000000000000002i−2i−2i2i00000000
χ4244-4-444-4-4-44-4400000000000000000000000000000000−2i2i2i−2i00000000
χ4344-4-4-4-4444i−4i−4i4i000000000000000000000002-2000002i−2i000000000000
χ4444-4-4-4-4444i−4i−4i4i00000000000000000000000-2200000−2i2i000000000000
χ4544-4-4-4-444−4i4i4i−4i000000000000000000000002-200000−2i2i000000000000
χ4644-4-4-4-444−4i4i4i−4i00000000000000000000000-22000002i−2i000000000000
χ474-44-44-44-400000400000-400004i−4i000000000000000000000000000000
χ484-44-44-44-400000400000-40000−4i4i000000000000000000000000000000
χ494-44-44-44-400000-40000044-40000000000000000000000000000000000
χ504-44-44-44-400000-4000004-440000000000000000000000000000000000
χ514-4-444-4-440000400000-400000004i−4i0000000000000000000000000000
χ524-4-444-4-440000400000-40000000−4i4i0000000000000000000000000000
χ534-4-444-4-440000-40000040000000004-400000000000000000000000000
χ544-4-444-4-440000-4000004000000000-4400000000000000000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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