Finite Group Databasebeta

← Group #290802

Character table — Group #290802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-11111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ911111111111111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-1-1-11111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-111-1-1-1-111-11-111-1-11-1-111-1-1-1-111-1-111
χ1111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11-11-1-111-111-1-111-1-111-1-111
χ1211111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11-111111-1-1-1-11111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1111-1-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-1-1-1111-1-111-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-111111-1-1-111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-1-11111111-1-111-1-1-1-111
χ17222222222222-2-222222222-2-2-2-2-2-222-2-2000000000000000000000000
χ18222222222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122222222-2-2-2-22-222-2-200002-22-2000000000002-20002-2000000000000
χ2222222222-2-2-2-22-222-2-200002-22-200000000000-22000-22000000000000
χ2322222222-2-2-2-22-2-2-22200002-2-22000000000002-2000-22000000000000
χ2422222222-2-2-2-22-2-2-22200002-2-2200000000000-220002-2000000000000
χ2522222222-2-2-2-2-2222-2-20000-22-220000000022-20000-200000000000000
χ2622222222-2-2-2-2-2222-2-20000-22-2200000000-2-220000200000000000000
χ2722222222-2-2-2-2-22-2-2220000-222-2000000002-2-20000200000000000000
χ2822222222-2-2-2-2-22-2-2220000-222-200000000-2220000-200000000000000
χ292-2222-2-2-22-22-22-200002i2i−2i−2i-22002i−2i000000000000000000002-2002i−2i00
χ302-2222-2-2-22-22-22-200002i2i−2i−2i-22002i−2i00000000000000000000-2200−2i2i00
χ312-2222-2-2-22-22-22-20000−2i−2i2i2i-2200−2i2i000000000000000000002-200−2i2i00
χ322-2222-2-2-22-22-22-20000−2i−2i2i2i-2200−2i2i00000000000000000000-22002i−2i00
χ332-2222-2-2-22-22-2-2200002i2i−2i−2i2-200−2i2i00000000000000000000002i−2i002-2
χ342-2222-2-2-22-22-2-2200002i2i−2i−2i2-200−2i2i0000000000000000000000−2i2i00-22
χ352-2222-2-2-22-22-2-220000−2i−2i2i2i2-2002i−2i00000000000000000000002i−2i00-22
χ362-2222-2-2-22-22-2-220000−2i−2i2i2i2-2002i−2i0000000000000000000000−2i2i002-2
χ37444-4-44-4-4000000004i−4i000000000000002-2000002i−2i000000000000000
χ38444-4-44-4-4000000004i−4i00000000000000-2200000−2i2i000000000000000
χ39444-4-44-4-400000000−4i4i000000000000002-200000−2i2i000000000000000
χ40444-4-44-4-400000000−4i4i00000000000000-22000002i−2i000000000000000
χ4144-44-4-44-40000004-400000000000000000000000000002i−2i2i−2i00000000
χ4244-44-4-44-40000004-40000000000000000000000000000−2i2i−2i2i00000000
χ4344-44-4-44-4000000-4400000000000000000000000000002i−2i−2i2i00000000
χ4444-44-4-44-4000000-440000000000000000000000000000−2i2i2i−2i00000000
χ4544-4-44-4-444-4-440000000000000000004i−4i000000000000000000000000
χ4644-4-44-4-444-4-44000000000000000000−4i4i000000000000000000000000
χ4744-4-44-4-44-444-40000004i−4i4i−4i0000000000000000000000000000000000
χ4844-4-44-4-44-444-4000000−4i4i−4i4i0000000000000000000000000000000000
χ494-4444-4-4-4-44-444400000000-4-400000000000000000000000000000000
χ504-4444-4-4-4-44-44-4-4000000004400000000000000000000000000000000
χ514-4-4-4444-444-4-400000000000000004i−4i00000000000000000000000000
χ524-4-4-4444-444-4-40000000000000000−4i4i00000000000000000000000000
χ534-4-4-4444-4-4-4440000004-4-440000000000000000000000000000000000
χ544-4-4-4444-4-4-444000000-444-40000000000000000000000000000000000
χ558-88-8-8-888000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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