Finite Group Databasebeta

← Group #350019

Character table — Group #350019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222222444444222224444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111-111-1-111-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-111-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-1-11111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-11111-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-2222-2-200-200000000000000-2-2220000000000000000
χ1822222222222222-2-2-2-2-2-22-2-22200-20000000000000022-2-20000000000000000
χ19222222222222-2-222-2-2-2-2-2222200200000000000000-2-2-2-20000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-2-2-20020000000000000022220000000000000000
χ2122222222-2-2-2-2222222-2-2-2000000-200000022-2-222-2-200000000000000000000
χ2222222222-2-2-2-2222222-2-2-2000000-2000000-2-222-2-22200000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-20000222-2-222-2-20000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-222-20000-2-2222-2-2220000000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-2222000022-2-2-2-2-2220000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22220000-2-2-22222-2-20000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22000000200000022-2-2-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-220000002000000-2-22222-2-200000000000000000000
χ2922-22-2-2-222-22-200002-22-20002-2000002i−2i2i−2i2i−2i2i−2i0000002-20000000000000000
χ3022-22-2-2-222-22-200002-22-20002-200000−2i2i−2i2i−2i2i−2i2i0000002-20000000000000000
χ3122-22-2-2-222-22-200002-22-2000-22000002i−2i2i−2i−2i2i−2i2i000000-220000000000000000
χ3222-22-2-2-222-22-200002-22-2000-2200000−2i2i−2i2i2i−2i2i−2i000000-220000000000000000
χ3322-22-2-2-222-22-20000-22-220002-22i−2i02i−2i000000002i−2i2i−2i00-220000000000000000
χ3422-22-2-2-222-22-20000-22-220002-2−2i2i0−2i2i00000000−2i2i−2i2i00-220000000000000000
χ3522-22-2-2-222-22-20000-22-22000-222i−2i02i−2i00000000−2i2i−2i2i002-20000000000000000
χ3622-22-2-2-222-22-20000-22-22000-22−2i2i0−2i2i000000002i−2i2i−2i002-20000000000000000
χ3722-22-2-2-22-22-2200002-2-2202-2002i−2i0−2i2i00002i−2i−2i2i00002-2000000000000000000
χ3822-22-2-2-22-22-2200002-2-2202-200−2i2i02i−2i0000−2i2i2i−2i00002-2000000000000000000
χ3922-22-2-2-22-22-2200002-2-220-22002i−2i0−2i2i0000−2i2i2i−2i0000-22000000000000000000
χ4022-22-2-2-22-22-2200002-2-220-2200−2i2i02i−2i00002i−2i−2i2i0000-22000000000000000000
χ4122-22-2-2-22-22-220000-222-202-200000002i−2i−2i2i0000−2i2i2i−2i-22000000000000000000
χ4222-22-2-2-22-22-220000-222-202-20000000−2i2i2i−2i00002i−2i−2i2i-22000000000000000000
χ4322-22-2-2-22-22-220000-222-20-2200000002i−2i−2i2i00002i−2i−2i2i2-2000000000000000000
χ4422-22-2-2-22-22-220000-222-20-220000000−2i2i2i−2i0000−2i2i2i−2i2-2000000000000000000
χ45444-44-4-4-444-4-400000000000000000000000000000000000000000022−22000000
χ46444-44-4-4-444-4-4000000000000000000000000000000000000000000−2222000000
χ47444-44-4-4-4-4-444000000000000000000000000000000000000000000002i2−2i20000
χ48444-44-4-4-4-4-44400000000000000000000000000000000000000000000−2i22i20000
χ4944-4-4-444-44-4-440000000000000000000000000000000000000000000000002i2−2i2
χ5044-4-4-444-44-4-44000000000000000000000000000000000000000000000000−2i22i2
χ5144-4-4-444-4-444-400000000000000000000000000000000000000000000002i2−2i200
χ5244-4-4-444-4-444-40000000000000000000000000000000000000000000000−2i22i200
χ534-444-44-4-40000004-40000000000000000000000000000002i−2i2i−2i000000000000
χ544-444-44-4-40000004-4000000000000000000000000000000−2i2i−2i2i000000000000
χ554-444-44-4-4000000-440000000000000000000000000000002i−2i−2i2i000000000000
χ564-444-44-4-4000000-44000000000000000000000000000000−2i2i2i−2i000000000000
χ574-4-4-444-4400004-40000000000000000000000000000000000002-22-200000000
χ584-4-4-444-4400004-4000000000000000000000000000000000000-22-2200000000
χ594-4-4-444-440000-440000000000000000000000000000000000002-2-2200000000
χ604-4-4-444-440000-44000000000000000000000000000000000000-222-200000000
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-888-88-8000000000000000000000000000000000000000000000000000000

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