Finite Group Databasebeta

← Group #349244

Character table — Group #349244

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222244442222444444444422224444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2222222-2-20000-2-2-2-20000-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-222-2-2-2-2-2-2000022220000-2-2000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000-2-222000022000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000022-2-2000022000000000000000000000000
χ2122222222-2-2-2-2222200002-2-2-200002-20022000000-2-22-2000022-2-20000000000000000
χ2222222222-2-2-2-2222200002-2-2-200002-200-2-2000000222-20000-2-2220000000000000000
χ2322222222-2-2-2-222220000-22-2-20000-2222000000-2-200-2222-2-200000000000000000000
χ2422222222-2-2-2-222220000-22-2-20000-22-2-20000002200-22-2-22200000000000000000000
χ2522222222-2-2-2-2-2-2-2-200002-22200002-20022000000-2-2-220000-2-2220000000000000000
χ2622222222-2-2-2-2-2-2-2-200002-22200002-200-2-200000022-22000022-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2-20000-22220000-2222000000-2-2002-2-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-20000-22220000-22-2-200000022002-222-2-200000000000000000000
χ29222-22-2-2-222-2-2000022-2-222000000-2-22-22-22-2002-22-200000000000000000000000000
χ30222-22-2-2-222-2-2000022-2-222000000-2-2-22-222-200-22-2200000000000000000000000000
χ31222-22-2-2-222-2-2000022-2-2-2-2000000220000-22000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ32222-22-2-2-222-2-2000022-2-2-2-2000000220000-2200000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ33222-22-2-2-222-2-20000-2-22222000000-2-22-2-22-22002-2-2200000000000000000000000000
χ34222-22-2-2-222-2-20000-2-22222000000-2-2-222-2-2200-222-200000000000000000000000000
χ35222-22-2-2-222-2-20000-2-222-2-20000002200002-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ36222-22-2-2-222-2-20000-2-222-2-20000002200002-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ37222-22-2-2-2-2-222000000002-2002i2i−2i−2i-22002-2002i−2i00-22002i−2i−2i2i00000000000000000000
χ38222-22-2-2-2-2-222000000002-2002i2i−2i−2i-2200-22002i−2i002-200−2i2i2i−2i00000000000000000000
χ39222-22-2-2-2-2-222000000002-200−2i−2i2i2i-22002-200−2i2i00-2200−2i2i2i−2i00000000000000000000
χ40222-22-2-2-2-2-222000000002-200−2i−2i2i2i-2200-2200−2i2i002-2002i−2i−2i2i00000000000000000000
χ41222-22-2-2-2-2-22200000000-22002i2i−2i−2i2-22-20000−2i2i-22000000002i−2i−2i2i0000000000000000
χ42222-22-2-2-2-2-22200000000-22002i2i−2i−2i2-2-220000−2i2i2-200000000−2i2i2i−2i0000000000000000
χ43222-22-2-2-2-2-22200000000-2200−2i−2i2i2i2-22-200002i−2i-2200000000−2i2i2i−2i0000000000000000
χ44222-22-2-2-2-2-22200000000-2200−2i−2i2i2i2-2-2200002i−2i2-2000000002i−2i−2i2i0000000000000000
χ452-2-2222-2-22-22-22i2i−2i−2i2-22-2002i−2i2i−2i2i−2i000000000000000000000000000000002−2i2−i22−2i2−i2
χ462-2-2222-2-22-22-22i2i−2i−2i2-22-2002i−2i2i−2i2i−2i00000000000000000000000000000000−22−i2i2−22−i2i2
χ472-2-2222-2-22-22-22i2i−2i−2i-22-22002i−2i−2i2i−2i2i000000000000000000000000000000002−2i2−i2−22−i2i2
χ482-2-2222-2-22-22-22i2i−2i−2i-22-22002i−2i−2i2i−2i2i00000000000000000000000000000000−22−i2i22−2i2−i2
χ492-2-2222-2-22-22-2−2i−2i2i2i2-22-200−2i2i−2i2i−2i2i000000000000000000000000000000002−2−i2i22−2−i2i2
χ502-2-2222-2-22-22-2−2i−2i2i2i2-22-200−2i2i−2i2i−2i2i00000000000000000000000000000000−22i2−i2−22i2−i2
χ512-2-2222-2-22-22-2−2i−2i2i2i-22-2200−2i2i2i−2i2i−2i000000000000000000000000000000002−2−i2i2−22i2−i2
χ522-2-2222-2-22-22-2−2i−2i2i2i-22-2200−2i2i2i−2i2i−2i00000000000000000000000000000000−22i2−i22−2−i2i2
χ5344-44-4-44-400004-44-400000000000000000000000000000000000000002i−2i2i−2i00000000
χ5444-44-4-44-400004-44-40000000000000000000000000000000000000000−2i2i−2i2i00000000
χ5544-44-4-44-40000-44-4400000000000000000000000000000000000000002i−2i−2i2i00000000
χ5644-44-4-44-40000-44-440000000000000000000000000000000000000000−2i2i2i−2i00000000
χ574-444-4-4-4400004i−4i−4i4i0000000000000000000000000000000000002i−2i2-2000000000000
χ584-444-4-4-4400004i−4i−4i4i000000000000000000000000000000000000−2i2i-22000000000000
χ594-444-4-4-440000−4i4i4i−4i0000000000000000000000000000000000002i−2i-22000000000000
χ604-444-4-4-440000−4i4i4i−4i000000000000000000000000000000000000−2i2i2-2000000000000
χ614-4-4444-4-4-44-444i4i−4i−4i000000−4i4i00000000000000000000000000000000000000000000
χ624-4-4444-4-4-44-44−4i−4i4i4i0000004i−4i00000000000000000000000000000000000000000000
χ634-4-4-44-4444-4-4400004-4-44000000000000000000000000000000000000000000000000
χ644-4-4-44-4444-4-440000-444-4000000000000000000000000000000000000000000000000
χ654-4-4-44-444-444-40000000000004-4-440000000000000000000000000000000000000000
χ664-4-4-44-444-444-4000000000000-444-40000000000000000000000000000000000000000
χ6788-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-88-8-888-8000000000000000000000000000000000000000000000000000000000000

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