Finite Group Databasebeta

← Group #350002

Character table — Group #350002

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222222444444222444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111-111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-11111-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-11111-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-2222-2-20000-222-2-20000000000000000000000000000
χ1822222222222222-2-2-2-2-2-22-2-2220000-2-2-2220000000000000000000000000000
χ19222222222222-2-222-2-2-2-2-222-2-200002-2-2220000000000000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-2220000222-2-20000000000000000000000000000
χ2122222222-2-2-2-2222222-2-2-2000022-2-2-20000220000-2-200000000000000000000
χ2222222222-2-2-2-2222222-2-2-20000-2-222-20000-2-200002200000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-2000000002000000222200-2-2-2-20000000000000000
χ2422222222-2-2-2-222-2-2-2-222-2000000002000000-2-2-2-20022220000000000000000
χ2522222222-2-2-2-2-2-222-2-222200000000-200000022-2-200-2-2220000000000000000
χ2622222222-2-2-2-2-2-222-2-222200000000-2000000-2-2220022-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22000022-2-220000-2-200002200000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-220000-2-22220000220000-2-200000000000000000000
χ2922-2-222-2-22-22-200002-22-200000000002-22-22i−2i2i−2i002i−2i2i−2i000000000000000000
χ3022-2-222-2-22-22-200002-22-200000000002-22-2−2i2i−2i2i00−2i2i−2i2i000000000000000000
χ3122-2-222-2-22-22-200002-22-20000000000-22-222i−2i−2i2i002i−2i−2i2i000000000000000000
χ3222-2-222-2-22-22-200002-22-20000000000-22-22−2i2i2i−2i00−2i2i2i−2i000000000000000000
χ3322-2-222-2-22-22-20000-22-22000002i−2i2i−2i02-2-2200002i−2i00002i−2i0000000000000000
χ3422-2-222-2-22-22-20000-22-22000002i−2i2i−2i0-222-20000−2i2i0000−2i2i0000000000000000
χ3522-2-222-2-22-22-20000-22-2200000−2i2i−2i2i02-2-220000−2i2i0000−2i2i0000000000000000
χ3622-2-222-2-22-22-20000-22-2200000−2i2i−2i2i0-222-200002i−2i00002i−2i0000000000000000
χ3722-2-222-2-2-22-2200002-2-2202-22-20000000002i−2i002i−2i−2i2i00−2i2i0000000000000000
χ3822-2-222-2-2-22-2200002-2-2202-22-2000000000−2i2i00−2i2i2i−2i002i−2i0000000000000000
χ3922-2-222-2-2-22-2200002-2-220-22-220000000002i−2i00−2i2i−2i2i002i−2i0000000000000000
χ4022-2-222-2-2-22-2200002-2-220-22-22000000000−2i2i002i−2i2i−2i00−2i2i0000000000000000
χ4122-2-222-2-2-22-220000-222-202-2-222i−2i−2i2i00000002i−2i0000−2i2i000000000000000000
χ4222-2-222-2-2-22-220000-222-202-2-22−2i2i2i−2i0000000−2i2i00002i−2i000000000000000000
χ4322-2-222-2-2-22-220000-222-20-222-22i−2i−2i2i0000000−2i2i00002i−2i000000000000000000
χ4422-2-222-2-2-22-220000-222-20-222-2−2i2i2i−2i00000002i−2i0000−2i2i000000000000000000
χ45444-4-4-4-440000004i−4i00000000000000000000000000000000002i−2i2-200000000
χ46444-4-4-4-440000004i−4i0000000000000000000000000000000000−2i2i-2200000000
χ47444-4-4-4-44000000−4i4i00000000000000000000000000000000002i−2i-2200000000
χ48444-4-4-4-44000000−4i4i0000000000000000000000000000000000−2i2i2-200000000
χ494-4444-4-4-444-4-400000000000000000000000000000000000000000022−22000000
χ504-4444-4-4-444-4-4000000000000000000000000000000000000000000−2222000000
χ514-4444-4-4-4-4-444000000000000000000000000000000000000000000002i2−2i20000
χ524-4444-4-4-4-4-44400000000000000000000000000000000000000000000−2i22i20000
χ534-44-4-444-400004-4000000000000000000000000000000002i−2i2i−2i000000000000
χ544-44-4-444-400004-400000000000000000000000000000000−2i2i−2i2i000000000000
χ554-44-4-444-40000-44000000000000000000000000000000002i−2i−2i2i000000000000
χ564-44-4-444-40000-4400000000000000000000000000000000−2i2i2i−2i000000000000
χ574-4-4-44-4444-4-4400000000000000000000000000000000000000000000000022−22
χ584-4-4-44-4444-4-44000000000000000000000000000000000000000000000000−2222
χ594-4-4-44-444-444-4000000000000000000000000000000000000000000000022−2200
χ604-4-4-44-444-444-40000000000000000000000000000000000000000000000−222200
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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