Finite Group Databasebeta

← Group #103840

Character table — Group #103840

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ9222222222222-2-2-2-2-2-222-22200-2-200000000000000000000
χ10222222222222-2-2-2-2-2-222-2-2-2002200000000000000000000
χ112222222222-2-222-2-2-2-2-2-22000000002i2i−2i−2i00000000000000
χ122222222222-2-222-2-2-2-2-2-2200000000−2i−2i2i2i00000000000000
χ132222222222-2-2-2-22222-2-2-200000000000022-2-20000000000
χ142222222222-2-2-2-22222-2-2-2000000000000-2-2220000000000
χ1522222222-2-22-22222-2-22-2-20000000000000000000000002-2
χ1622222222-2-22-22222-2-22-2-2000000000000000000000000-22
χ1722222222-2-22-2-2-2-2-2222-220000000000000000000022-2-200
χ1822222222-2-22-2-2-2-2-2222-2200000000000000000000-2-22200
χ1922222222-2-2-2222-2-222-22-2000000000000000022-2-2000000
χ2022222222-2-2-2222-2-222-22-20000000000000000-2-222000000
χ2122222222-2-2-22-2-222-2-2-222002200-2-2000000000000000000
χ2222222222-2-2-22-2-222-2-2-22200-2-20022000000000000000000
χ23222-22-2-2-22-222000000-2-202-20000002−22−22−22−20000000000
χ24222-22-2-2-22-222000000-2-202-2000000−22−22−22−220000000000
χ25222-22-2-2-22-222000000-2-20-220000002−22−2−22−220000000000
χ26222-22-2-2-22-222000000-2-20-22000000−22−222−22−20000000000
χ27222-22-2-2-22-2-2-200000022000002i−2i00i2−i2−i2i22−2−220000000000
χ28222-22-2-2-22-2-2-200000022000002i−2i00−i2i2i2−i2−222−20000000000
χ29222-22-2-2-22-2-2-20000002200000−2i2i00i2−i2−i2i2−222−20000000000
χ30222-22-2-2-22-2-2-20000002200000−2i2i00−i2i2i2−i22−2−220000000000
χ31444-44-4-4-4-444-4000000-44000000000000000000000000000
χ32444-44-4-4-4-44-440000004-4000000000000000000000000000
χ3344-44-44-4-40000004-400000000000000000000000002-22-200
χ3444-44-44-4-40000004-40000000000000000000000000-22-2200
χ3544-44-44-4-4000000-4400000000000000000000000002-2-2200
χ3644-44-44-4-4000000-440000000000000000000000000-222-200
χ374-44-4-444-400004-400000000000000000000000002i2−2i2000000
χ384-44-4-444-400004-40000000000000000000000000−2i22i2000000
χ394-44-4-444-40000-44000000000000000000000002i2−2i200000000
χ404-44-4-444-40000-4400000000000000000000000−2i22i200000000
χ414-4-444-44-4000000004i−4i000002i−2i002-2000000000000000000
χ424-4-444-44-4000000004i−4i00000−2i2i00-22000000000000000000
χ434-4-444-44-400000000−4i4i000002i−2i00-22000000000000000000
χ444-4-444-44-400000000−4i4i00000−2i2i002-2000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-888-8-8-88000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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