Finite Group Databasebeta

← Group #176012

Character table — Group #176012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ51111111111111111111-1-1-1-111-1-1111-1-111-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-11-11-1-1-1-11111-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-1-1-11-11-1-1-1-111-1-1-11-1-1-1-1-1-111111111
χ911111111-1-111-1-11111-111-1-1-11111-1-1-1-111-11-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-11111-111-1-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-111
χ1111111111-1-111-1-11111-111-1-1-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111-1-111-1-11111-111-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1
χ1311111111-1-111-1-11111-1-1-111-11-1-11-1-111111-1-1-1-1-111-1-11111-1-1
χ1411111111-1-111-1-11111-1-1-111-11-1-11-1-111-1-11-11111-1-111-1-1-1-111
χ1511111111-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ1611111111-1-111-1-11111-1-1-111-1-11-1-111-1-1-1-11111-1-11111-1-111-1-1
χ1722222222222-222-2-22-2-20000-2200-22-200000000000000000000
χ1822222222222-222-2-22-2-20000-2-2002-2200000000000000000000
χ192222222222-22-2-2-2-2-2222222-200-20000000-2000000000000000
χ202222222222-22-2-2-2-2-222-2-2-2-2-200200000002000000000000000
χ212222222222-2-2-2-222-2-2-2000020200002-2000-200000000000000
χ222222222222-2-2-2-222-2-2-2000020-20000-22000200000000000000
χ2322222222-2-22-2-2-2-2-22-2200002200-2-2200000000000000000000
χ2422222222-2-22-2-2-2-2-22-2200002-20022-200000000000000000000
χ2522222222-2-2-2222-2-2-22-222-2-2200-200000002000000000000000
χ2622222222-2-2-2222-2-2-22-2-2-22220020000000-2000000000000000
χ2722222222-2-2-2-22222-2-220000-2020000-22000-200000000000000
χ2822222222-2-2-2-22222-2-220000-20-200002-2000200000000000000
χ29444-4-4-4-4400004i−4i0000000000000000000000002i−2i2-200000000
χ30444-4-4-4-4400004i−4i000000000000000000000000−2i2i-2200000000
χ31444-4-4-4-440000−4i4i0000000000000000000000002i−2i-2200000000
χ32444-4-4-4-440000−4i4i000000000000000000000000−2i2i2-200000000
χ334-4444-4-4-40000004-4000000000000000000000000000000002i2−2i2
χ344-4444-4-4-40000004-400000000000000000000000000000000−2i22i2
χ354-4444-4-4-4000000-440000000000000000000000000000002i2−2i200
χ364-4444-4-4-4000000-44000000000000000000000000000000−2i22i200
χ374-44-4-444-44i−4i00000000000000000000002-2002i−2i000000000000
χ384-44-4-444-44i−4i0000000000000000000000-2200−2i2i000000000000
χ394-44-4-444-4−4i4i00000000000000000000002-200−2i2i000000000000
χ404-44-4-444-4−4i4i0000000000000000000000-22002i−2i000000000000
χ414-4-44-44-44000400000-40004i−4i000000000000000000000000000
χ424-4-44-44-44000400000-4000−4i4i000000000000000000000000000
χ434-4-44-44-44000-400000404-400000000000000000000000000000
χ444-4-44-44-44000-40000040-4400000000000000000000000000000
χ454-4-4-44-44400400000-40000000000000000000000000002i2−2i20000
χ464-4-4-44-44400400000-4000000000000000000000000000−2i22i20000
χ474-4-4-44-44400-4000004000000000000000000000000022−22000000
χ484-4-4-44-44400-40000040000000000000000000000000−2222000000
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ5088-8-888-8-8000000000000000000000000000000000000000000

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