Finite Group Databasebeta

← Group #269130

Character table — Group #269130

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444224444888888882444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1111111-1-1-1-1
χ511111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1
χ611111111111111111111-1-11-1-1111111111-1-1-11111-111-1-111-1-1-1-1-1-1-1-1
χ711111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1-1-11111
χ811111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111
χ911111111111111-1-1-1-11111-111-11111-1-1-1-11-1-1-1-111-111-11-1-111-1-111-1-1
χ1011111111111111-1-1-1-11111-111-11111-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1
χ1111111111111111-1-1-1-11111-111-1-1-1-1-111111-1-1-1-1-1-1-111-1111-1-111-1-111
χ1211111111111111-1-1-1-11111-111-1-1-1-1-11111-1111111-1-1-1-1-1-1-111-1-1-1-111
χ1311111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1111111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1111111-1-1-1-1-111-1-111
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-2222-2-2-2000000000000000-200200000000000
χ18222222222222-2-222-2-2-2-2-2-2222-2000000000000000200-200000000000
χ19222222222222-2-2-2-222-2-222-2-2-22000000000000000200-200000000000
χ20222222222222-2-2-2-222-2-2-2-2-2222000000000000000-200200000000000
χ2122222222-2-2-2-22-222222-200-200-2000000000002-20002-2000000000000
χ2222222222-2-2-2-22-222222-200-200-200000000000-22000-22000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-2002002000000000002-2000-22000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-200200200000000000-220002-2000000000000
χ2522222222-2-2-2-2-2222-2-2-2200-20020000000022-200000000-20000000000
χ2622222222-2-2-2-2-2222-2-2-2200-200200000000-2-220000000020000000000
χ2722222222-2-2-2-2-22-2-222-2200200-2000000002-2200000000-20000000000
χ2822222222-2-2-2-2-22-2-222-2200200-200000000-22-20000000020000000000
χ292-2-2-2-22222-22-2220000-2-22-202-202i2i−2i−2i00000000000000000000002i−2i00
χ302-2-2-2-22222-22-2220000-2-22-202-20−2i−2i2i2i0000000000000000000000−2i2i00
χ312-2-2-2-22222-22-2220000-2-2-220-2202i2i−2i−2i0000000000000000000000−2i2i00
χ322-2-2-2-22222-22-2220000-2-2-220-220−2i−2i2i2i00000000000000000000002i−2i00
χ332-2-2-2-22222-22-2-2-20000222-20-220000022-2-2000000000000000000002-2
χ342-2-2-2-22222-22-2-2-20000222-20-2200000-2-22200000000000000000000-22
χ352-2-2-2-22222-22-2-2-2000022-2202-20000022-2-200000000000000000000-22
χ362-2-2-2-22222-22-2-2-2000022-2202-200000-2-222000000000000000000002-2
χ37444-4-4-4-444-4-440000000000000000002i2−2i22i2−2i20000000000000000000000
χ38444-4-4-4-444-4-44000000000000000000−2i22i2−2i22i20000000000000000000000
χ39444-4-4-4-44-444-4000000000000002i2−2i22i2−2i200000000000000000000000000
χ40444-4-4-4-44-444-400000000000000−2i22i2−2i22i200000000000000000000000000
χ414-444-44-4-40000004i−4i000000000000000000000002-2000002i−2i00000000
χ424-444-44-4-40000004i−4i00000000000000000000000-2200000−2i2i00000000
χ434-444-44-4-4000000−4i4i000000000000000000000002-200000−2i2i00000000
χ444-444-44-4-4000000−4i4i00000000000000000000000-22000002i−2i00000000
χ454-44-44-44-4000000004i−4i0000000000000000000000000000002-22i−2i0000
χ464-44-44-44-4000000004i−4i000000000000000000000000000000-22−2i2i0000
χ474-44-44-44-400000000−4i4i0000000000000000000000000000002-2−2i2i0000
χ484-44-44-44-400000000−4i4i000000000000000000000000000000-222i−2i0000
χ494-4-444-4-4444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ504-4-444-4-4444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-4-444-4-44-4-4440000000000000022−22−222200000000000000000000000000
χ524-4-444-4-44-4-44400000000000000−222222−2200000000000000000000000000
χ534-4-4-4-4444-44-444-40000-44000000000000000000000000000000000000
χ544-4-4-4-4444-44-44-4400004-4000000000000000000000000000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ5688-8-888-8-8000000000000000000000000000000000000000000000000

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