Finite Group Databasebeta

← Group #103459

Character table — Group #103459

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9222222222222222-2-2-2-22-2-200220000-2-2000000000000000000
χ10222222222222222-2-2-2-22-2-200-2-2000022000000000000000000
χ11222222222222-2-2-222-2-2-22-200000000000022-2-2000000000000
χ12222222222222-2-2-222-2-2-22-2000000000000-2-222000000000000
χ13222222222222-2-2-2-2-222-2-220000002200-2-20000000000000000
χ14222222222222-2-2-2-2-222-2-22000000-2-200220000000000000000
χ1522222222-2-2-2-222-22222-2-2-2000000000000000022-2-200000000
χ1622222222-2-2-2-222-22222-2-2-20000000000000000-2-22200000000
χ1722222222-2-2-2-222-2-2-2-2-2-222000000000000000000002i2i−2i−2i0000
χ1822222222-2-2-2-222-2-2-2-2-2-22200000000000000000000−2i−2i2i2i0000
χ1922222222-2-2-2-2-2-2222-2-22-2200000000000000000000000022-2-2
χ2022222222-2-2-2-2-2-2222-2-22-22000000000000000000000000-2-222
χ2122222222-2-2-2-2-2-22-2-22222-22200-2-20000000000000000000000
χ2222222222-2-2-2-2-2-22-2-22222-2-2-200220000000000000000000000
χ23222-22-2-2-222-2-22-220000-200002-20000000000002−22−22−22−20000
χ24222-22-2-2-222-2-22-220000-200002-2000000000000−22−22−22−220000
χ25222-22-2-2-222-2-22-220000-20000-220000000000002−22−2−22−220000
χ26222-22-2-2-222-2-22-220000-20000-22000000000000−22−222−22−20000
χ27222-22-2-2-2-2-2222-2-20000200000000002i−2i0000002−2−22i2−i2−i2i20000
χ28222-22-2-2-2-2-2222-2-20000200000000002i−2i000000−222−2−i2i2i2−i20000
χ29222-22-2-2-2-2-2222-2-2000020000000000−2i2i0000002−2−22−i2i2i2−i20000
χ30222-22-2-2-2-2-2222-2-2000020000000000−2i2i000000−222−2i2−i2−i2i20000
χ31444-44-4-4-444-4-4-44-400004000000000000000000000000000000
χ32444-44-4-4-4-4-444-4440000-4000000000000000000000000000000
χ3344-4-4-44-4400000004i−4i000000000002i−2i002-20000000000000000
χ3444-4-4-44-4400000004i−4i00000000000−2i2i00-220000000000000000
χ3544-4-4-44-440000000−4i4i000000000002i−2i00-220000000000000000
χ3644-4-4-44-440000000−4i4i00000000000−2i2i002-20000000000000000
χ374-444-4-4-444-44-400000000002i−2i002i−2i0000000000000000000000
χ384-444-4-4-444-44-40000000000−2i2i00−2i2i0000000000000000000000
χ394-444-4-4-44-44-4400000000002i−2i00−2i2i0000000000000000000000
χ404-444-4-4-44-44-440000000000−2i2i002i−2i0000000000000000000000
χ414-44-4-444-44-4-4400000000000000000000000000000000002i−2i2i−2i
χ424-44-4-444-44-4-440000000000000000000000000000000000−2i2i−2i2i
χ434-44-4-444-4-444-400000000000000000000000000000000002i−2i−2i2i
χ444-44-4-444-4-444-40000000000000000000000000000000000−2i2i2i−2i
χ454-4-4-44-4440000000004-40000000000000002-22-2000000000000
χ464-4-4-44-4440000000004-4000000000000000-22-22000000000000
χ474-4-4-44-444000000000-440000000000000002-2-22000000000000
χ484-4-4-44-444000000000-44000000000000000-222-2000000000000
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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