Finite Group Databasebeta

← Group #103813

Character table — Group #103813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422224444888888888888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222222222-2-2-2-2-2-222-2002200-2-2000000000000000000
χ10222222222222-2-2-2-2-2-222-200-2-20022000000000000000000
χ11222222222-2-2-22222-2-22-2-2000000000000000022-2-2000000
χ12222222222-2-2-22222-2-22-2-20000000000000000-2-222000000
χ13222222222-2-2-2-2-2-2-2222-222200-2-200000000000000000000
χ14222222222-2-2-2-2-2-2-2222-22-2-2002200000000000000000000
χ1522222222-22-2-222-2-222-22-20000000000000000000000002-2
χ1622222222-22-2-222-2-222-22-2000000000000000000000000-22
χ1722222222-22-2-2-2-222-2-2-2220000000000000000000022-2-200
χ1822222222-22-2-2-2-222-2-2-22200000000000000000000-2-22200
χ1922222222-2-22222-2-2-2-2-2-22000000002i2i−2i−2i00000000000000
χ2022222222-2-22222-2-2-2-2-2-2200000000−2i−2i2i2i00000000000000
χ2122222222-2-222-2-22222-2-2-200000000000022-2-20000000000
χ2222222222-2-222-2-22222-2-2-2000000000000-2-2220000000000
χ23222-2-22-2-22-22-2000000-2200000002i−2i2−22−2i2−i2i2−i20000000000
χ24222-2-22-2-22-22-2000000-2200000002i−2i−22−22−i2i2−i2i20000000000
χ25222-2-22-2-22-22-2000000-220000000−2i2i2−22−2−i2i2−i2i20000000000
χ26222-2-22-2-22-22-2000000-220000000−2i2i−22−22i2−i2i2−i20000000000
χ27222-2-22-2-2-222-20000002-20002-20000i2−i2−i2i2i2−i2−i2i20000000000
χ28222-2-22-2-2-222-20000002-20002-20000−i2i2i2−i2−i2i2i2−i20000000000
χ29222-2-22-2-2-222-20000002-2000-220000i2−i2−i2i2−i2i2i2−i20000000000
χ30222-2-22-2-2-222-20000002-2000-220000−i2i2i2−i2i2−i2−i2i20000000000
χ31444-4-44-4-444-44000000-4-4000000000000000000000000000
χ32444-4-44-4-4-4-4-4400000044000000000000000000000000000
χ3344-44-4-44-40000004i−4i000002-2002i−2i00000000000000000000
χ3444-44-4-44-40000004i−4i00000-2200−2i2i00000000000000000000
χ3544-44-4-44-4000000−4i4i000002-200−2i2i00000000000000000000
χ3644-44-4-44-4000000−4i4i00000-22002i−2i00000000000000000000
χ374-44-4-4-444000000004-4000000000000000000000002-22-200
χ384-44-4-4-444000000004-400000000000000000000000-22-2200
χ394-44-4-4-44400000000-44000000000000000000000002-2-2200
χ404-44-4-4-44400000000-4400000000000000000000000-222-200
χ414-4-44-44-4400004-4000000000000000000000000022−22000000
χ424-4-44-44-4400004-40000000000000000000000000−2222000000
χ434-4-44-44-440000-440000000000000000000000022−2200000000
χ444-4-44-44-440000-4400000000000000000000000−222200000000
χ4588-8-88-8-88000000000000000000000000000000000000000
χ468-8888-8-8-8000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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