Finite Group Databasebeta

← Group #166146

Character table — Group #166146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1-1-1111-11-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ511111111111111111111-1-11-1-111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-11-1-111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1-1-1111-1-111-1-111-11-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1111-1-111-1-1-1-1-11-11-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-11111111-1-1-11111-1-1-1-1-11-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11111111-1-1-11111-1-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111-1111-111-1-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1111-11111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1111-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-111-1-111-111-1-1-11111-1-11-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-1-111-1-111-111-1-1-11-1-11-1-111111-1-111-1-1-1-111
χ17222222222222222-2-2-22-222-2220000-200000000-20-2000000000000000
χ18222222222222222-2-2-22-2-2-2-2-2-20000-200000000202000000000000000
χ19222222222222-2-2-22-2-2-22002000022-2002200000-20-200000000000000
χ20222222222222-2-2-22-2-2-220020000-2-2-200-2-20000020200000000000000
χ21222222222222-2-2-2-222-2-200-200220022200-2-200000000000000000000
χ22222222222222-2-2-2-222-2-200-200-2-2002-2-2002200000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-2222-2-2000020000000020-2000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2-2-22220000200000000-202000000000000000
χ2522222222-2-2-2-2-2222-2-2-2200-2000022200-2-20000020-200000000000000
χ2622222222-2-2-2-2-2222-2-2-2200-20000-2-22002200000-20200000000000000
χ2722222222-2-2-2-2-222-222-2-2002002200-2-2-200-2200000000000000000000
χ2822222222-2-2-2-2-222-222-2-200200-2-200-222002-200000000000000000000
χ292222-2-2-2-222-2-222-2000-202-202-200000000000000000002−22−200002−22−2
χ302222-2-2-2-222-2-222-2000-202-202-20000000000000000000−22−220000−22−22
χ312222-2-2-2-222-2-222-2000-20-220-2200000000000000000002−22−20000−22−22
χ322222-2-2-2-222-2-222-2000-20-220-220000000000000000000−22−2200002−22−2
χ332222-2-2-2-2-2-2222-22000-202-20-2200000000000000000002−2−2200002−2−22
χ342222-2-2-2-2-2-2222-22000-202-20-220000000000000000000−222−20000−222−2
χ352222-2-2-2-2-2-2222-22000-20-2202-200000000000000000002−2−220000−222−2
χ362222-2-2-2-2-2-2222-22000-20-2202-20000000000000000000−222−200002−2−22
χ374444-4-4-4-444-4-4-4-4400040000000000000000000000000000000000000
χ384444-4-4-4-4-4-444-44-400040000000000000000000000000000000000000
χ3944-4-44-4-444i−4i4i−4i0000000000000000000000000000000000002i−2i2-20000
χ4044-4-44-4-444i−4i4i−4i000000000000000000000000000000000000−2i2i-220000
χ4144-4-44-4-44−4i4i−4i4i0000000000000000000000000000000000002i−2i-220000
χ4244-4-44-4-44−4i4i−4i4i000000000000000000000000000000000000−2i2i2-20000
χ4344-4-4-444-44i−4i−4i4i0000000000000000000000002-200002i−2i000000000000
χ4444-4-4-444-44i−4i−4i4i000000000000000000000000-220000−2i2i000000000000
χ4544-4-4-444-4−4i4i4i−4i0000000000000000000000002-20000−2i2i000000000000
χ4644-4-4-444-4−4i4i4i−4i000000000000000000000000-2200002i−2i000000000000
χ474-44-4-44-4400000004000-400000004i−4i000000000000000000000000000
χ484-44-4-44-4400000004000-40000000−4i4i000000000000000000000000000
χ494-44-4-44-440000000-400040000000000004-40000000000000000000000
χ504-44-4-44-440000000-40004000000000000-440000000000000000000000
χ514-4-44-4-444000000004-40000000000004-4000000000000000000000000
χ524-4-44-4-444000000004-4000000000000-44000000000000000000000000
χ534-4-44-4-44400000000-4400000004-400000000000000000000000000000
χ544-4-44-4-44400000000-440000000-4400000000000000000000000000000
χ558-88-88-88-8000000000000000000000000000000000000000000000000
χ568-8-8888-8-8000000000000000000000000000000000000000000000000

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