Finite Group Databasebeta

← Group #265614

Character table — Group #265614

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444224444444444442244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-111111111
χ511111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-11-11-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111-11-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-1-1-1111111-1-1-1-1
χ911111111111111-1-1-1-1111111-1-11111-1-1-1-1111-11-1-1-1-11-1-11-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-11111-1-1-1-111-11-11-1-1-1-1-11-11-1-111-1-111
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1111-1-11-1-1-111-1-111
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-11-111-1-11-1111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-1111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1111-1111-1-1-11111-1-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-1-1111-111-1-1-1-111
χ17222222222222-2-22222-2-222-2-2-2-2000000000000002000-200000000000
χ18222222222222-2-22222-2-2-2-222-2-200000000000000-2000200000000000
χ19222222222222-2-2-2-2-2-2-2-222-2-22200000000000000-2000200000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222000000000000002000-200000000000
χ2122222222-2-2-2-22-222-2-22-200002-200000000000022000000-2-200000000
χ2222222222-2-2-2-22-222-2-22-200002-2000000000000-2-20000002200000000
χ2322222222-2-2-2-22-2-2-2222-20000-220000000000002-2000000-2200000000
χ2422222222-2-2-2-22-2-2-2222-20000-22000000000000-220000002-200000000
χ2522222222-2-2-2-2-2222-2-2-220000-2200000000002200000-20-20000000000
χ2622222222-2-2-2-2-2222-2-2-220000-220000000000-2-2000002020000000000
χ2722222222-2-2-2-2-22-2-222-2200002-200000000002-200000-2020000000000
χ2822222222-2-2-2-2-22-2-222-2200002-20000000000-220000020-20000000000
χ292222-2-2-2-22-22-2220000-2-22-22-20022-2-200002-200000000000000000000
χ302222-2-2-2-22-22-2220000-2-22-22-200-2-2220000-2200000000000000000000
χ312222-2-2-2-22-22-2220000-2-2-22-220022-2-20000-2200000000000000000000
χ322222-2-2-2-22-22-2220000-2-2-22-2200-2-22200002-200000000000000000000
χ332222-2-2-2-22-22-2-2-20000222-2-220000002i2i−2i−2i00000002i−2i0000000000000
χ342222-2-2-2-22-22-2-2-20000222-2-22000000−2i−2i2i2i0000000−2i2i0000000000000
χ352222-2-2-2-22-22-2-2-2000022-222-20000002i2i−2i−2i0000000−2i2i0000000000000
χ362222-2-2-2-22-22-2-2-2000022-222-2000000−2i−2i2i2i00000002i−2i0000000000000
χ374444-4-4-4-4-44-444-40000-44000000000000000000000000000000000000
χ384444-4-4-4-4-44-44-4400004-4000000000000000000000000000000000000
χ3944-4-44-44-44-4-440000000000000000000000000000000000002i2−2i2000000
χ4044-4-44-44-44-4-44000000000000000000000000000000000000−2i22i2000000
χ4144-4-44-44-4-444-4000000000000000000000000000000000000002i2−2i20000
χ4244-4-44-44-4-444-400000000000000000000000000000000000000−2i22i20000
χ4344-4-4-44-4444-4-400000000000000000000000000000000000000002i2−2i200
χ4444-4-4-44-4444-4-40000000000000000000000000000000000000000−2i22i200
χ4544-4-4-44-44-4-44400000000000000000000000000000000000000000022−22
χ4644-4-4-44-44-4-444000000000000000000000000000000000000000000−2222
χ474-44-444-4-4000000004i−4i000000002-22-22i−2i2i−2i0000000000000000000000
χ484-44-444-4-4000000004i−4i00000000-22-22−2i2i−2i2i0000000000000000000000
χ494-44-444-4-400000000−4i4i000000002-22-2−2i2i−2i2i0000000000000000000000
χ504-44-444-4-400000000−4i4i00000000-22-222i−2i2i−2i0000000000000000000000
χ514-44-4-4-4440000004-400000000002-2-222-2-220000000000000000000000
χ524-44-4-4-4440000004-40000000000-222-2-222-20000000000000000000000
χ534-44-4-4-444000000-4400000000002-2-22-222-20000000000000000000000
χ544-44-4-4-444000000-440000000000-222-22-2-220000000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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