Finite Group Databasebeta

← Group #246808

Character table — Group #246808

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222224444444444442244888888882224444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-11-11-11-1-1-1-1-1-11-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-11-11-11-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111111-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11111-111111-1-1-1-1
χ911111111-1-11-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1
χ1011111111-1-11-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-111
χ1111111111-1-11-1-1-1-1-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-111-1-111
χ1211111111-1-11-1-1-1-1-1-1111111111-1-1-1-11111-1-1-11111-1-1-111-1-111-1-111-1-1
χ1311111111-1-11-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11-111-1-1111-111-1-1-1-111
χ1411111111-1-11-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-111-11-11-1-111-11-1-11111-1-1
χ1511111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11-11111-1-11-1-1-11111-1-1
χ1611111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-111-11-1111-1-1-1111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-2222-2-2000000002000000-200000000000000
χ182222222222222-2-2-2-2-2-2-2-22-2-22200000000-2000000200000000000000
χ192222222222-2-2-222-2-222-2-2-20000000000000020-202000000-200000000
χ202222222222-2-2-222-2-222-2-2-200000000000000-2020-2000000200000000
χ212222222222-2-2-2-2-222-2-222-2000000000000020-202000000-2000000000
χ222222222222-2-2-2-2-222-2-222-20000000000000-2020-20000002000000000
χ2322222222-2-22-2-22222-2-2-2-2222-2-200000000-2000000200000000000000
χ2422222222-2-22-2-22222-2-2-2-22-2-222000000002000000-200000000000000
χ2522222222-2-2-22222-2-2-2-222-200000000000002020-2000000-2000000000
χ2622222222-2-2-22222-2-2-2-222-20000000000000-20-2020000002000000000
χ2722222222-2-2-222-2-22222-2-2-2000000000000002020-2000000-200000000
χ2822222222-2-2-222-2-22222-2-2-200000000000000-20-202000000200000000
χ292-2-2-2-222200-20000002-22-222-22-2000022-2-200000000002-20000000000
χ302-2-2-2-222200-20000002-22-222-22-20000-2-2220000000000-220000000000
χ312-2-2-2-222200-20000002-22-22-22-22000022-2-20000000000-220000000000
χ322-2-2-2-222200-20000002-22-22-22-220000-2-22200000000002-20000000000
χ332-2-2-2-222200-2000000-22-2222-2-2222-2-20000000000002-2000000000000
χ342-2-2-2-222200-2000000-22-2222-2-22-2-222000000000000-22000000000000
χ352-2-2-2-222200-2000000-22-222-222-222-2-2000000000000-22000000000000
χ362-2-2-2-222200-2000000-22-222-222-2-2-2220000000000002-2000000000000
χ37444-4-4-44-400000004i−4i00000000000000000000000000000002-22i−2i0000
χ38444-4-4-44-400000004i−4i0000000000000000000000000000000-22−2i2i0000
χ39444-4-4-44-40000000−4i4i00000000000000000000000000000002-2−2i2i0000
χ40444-4-4-44-40000000−4i4i0000000000000000000000000000000-222i−2i0000
χ4144-44-4-4-44000004i−4i00000000000000000000000000000000000002i−2i2-2
χ4244-44-4-4-44000004i−4i0000000000000000000000000000000000000−2i2i-22
χ4344-44-4-4-4400000−4i4i00000000000000000000000000000000000002i−2i-22
χ4444-44-4-4-4400000−4i4i0000000000000000000000000000000000000−2i2i2-2
χ4544-4-444-4-44-400000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ4644-4-444-4-44-40000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ4744-4-444-4-4-4400000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ4844-4-444-4-4-440000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ494-444-44-4-40004-400000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ504-444-44-4-40004-40000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ514-444-44-4-4000-4400000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ524-444-44-4-4000-440000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ534-4-4-4-44440040000004-4-44-40000000000000000000000000000000000
χ544-4-4-4-4444004000000-444-4-40000000000000000000000000000000000
χ558-88-88-8-88000000000000000000000000000000000000000000000000
χ568-8-888-88-8000000000000000000000000000000000000000000000000

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