Finite Group Databasebeta

← Group #104655

Character table — Group #104655

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111444444444488161616161616161616161616161616161616161632323232
order12222222224444444444444444448888888888882444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9222222222222-222-2-2-2-2-200000000000022-2-200000000
χ10222222222222-222-2-2-2-2-2000000000000-2-22200000000
χ112222222222-2-22-2-2-2-222-2000000000000000022-2-20000
χ122222222222-2-22-2-2-2-222-20000000000000000-2-2220000
χ132222222222-2-2-2-2-222-2-220000000022-2-2000000000000
χ142222222222-2-2-2-2-222-2-2200000000-2-222000000000000
χ1522222222-2-2222-2-2222-2-2000000000000000000002-200
χ1622222222-2-2222-2-2222-2-200000000000000000000-2200
χ1722222222-2-222-2-2-2-2-2-22200002i2i−2i−2i0000000000000000
χ1822222222-2-222-2-2-2-2-2-2220000−2i−2i2i2i0000000000000000
χ1922222222-2-2-2-2222-2-22-2222-2-200000000000000000000
χ2022222222-2-2-2-2222-2-22-22-2-22200000000000000000000
χ2122222222-2-2-2-2-22222-22-200000000000000000000002-2
χ2222222222-2-2-2-2-22222-22-20000000000000000000000-22
χ23222-22-2-2-2-222-202-20000000000000i2−i2i2−i2002-2i2−i2i2−i20000
χ24222-22-2-2-2-222-202-20000000000000i2−i2i2−i200-22−i2i2−i2i20000
χ25222-22-2-2-2-222-202-20000000000000−i2i2−i2i2002-2−i2i2−i2i20000
χ26222-22-2-2-2-222-202-20000000000000−i2i2−i2i200-22i2−i2i2−i20000
χ27222-22-2-2-2-22-220-220000000000000i2−i2−i2i22-200i2−i2−i2i20000
χ28222-22-2-2-2-22-220-220000000000000i2−i2−i2i2-2200−i2i2i2−i20000
χ29222-22-2-2-2-22-220-220000000000000−i2i2i2−i22-200−i2i2i2−i20000
χ30222-22-2-2-2-22-220-220000000000000−i2i2i2−i2-2200i2−i2−i2i20000
χ31444-44-4-4-44-44-40-4400000000000000000000000000000
χ32444-44-4-4-44-4-4404-400000000000000000000000000000
χ3344-44-44-4-4000040000-40000002-22-20000000000000000
χ3444-44-44-4-4000040000-4000000-22-220000000000000000
χ3544-44-44-4-40000-4000040000002i−2i−2i2i0000000000000000
χ3644-44-44-4-40000-400004000000−2i2i2i−2i0000000000000000
χ374-444-4-44-400000004-40002i−2i2i−2i00000000000000000000
χ384-444-4-44-400000004-4000−2i2i−2i2i00000000000000000000
χ394-444-4-44-40000000-440002i−2i−2i2i00000000000000000000
χ404-444-4-44-40000000-44000−2i2i2i−2i00000000000000000000
χ4188-8-8-8-888000000000000000000000000000000000000
χ428-88-8-88-88000000000000000000000000000000000000
χ438-8-888-8-88000000000000000000000000000000000000
χ448-8-8-8888-8000000000000000000000000000000000000

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