Finite Group Databasebeta

← Group #179332

Character table — Group #179332

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-11-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111-111-11-1-111-111-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111-111-11-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-11111
χ9111111111-1-111111-1-1-111-1-111-1111-1-1-1-11-111-1-111-1-111-1-1
χ10111111111-1-111111-1-1-111-1-111-1-1-1111-1-11-1-1-111-1-111-1-111
χ11111111111-1-111111-1-1-11-11-1-1-11111-1-1-11-1111-1-1-1-111-1-111
χ12111111111-1-111111-1-1-11-11-1-1-11-1-1111-11-11-1-11111-1-111-1-1
χ13111111111-1-111111-1-1-1-11-111-1111-1-1-11-1-11-1-111-1-11111-1-1
χ14111111111-1-111111-1-1-1-11-111-11-1-1-1111-1-1111-1-111-1-1-1-111
χ15111111111-1-111111-1-1-1-1-111-11-111-1-1-1111-1-1-11111-1-1-1-111
χ16111111111-1-111111-1-1-1-1-111-11-1-1-1-111111-111-1-1-1-11111-1-1
χ1722222222222-2-2-2-22-22-20220-200000000-200000000000000
χ1822222222222-2-2-2-22-22-20-2-20200000000200000000000000
χ19222222222-2-2-2-2-2-222-2202-20-200000000200000000000000
χ20222222222-2-2-2-2-2-222-220-220200000000-200000000000000
χ2122222222-22222-2-2-2-2-22000002-20000000-22000000000000
χ2222222222-22222-2-2-2-2-2200000-2200000002-2000000000000
χ2322222222-222-2-222-22-2-2200200000-200-2000000000000000
χ2422222222-222-2-222-22-2-2-200-2000002002000000000000000
χ2522222222-2-2-222-2-2-222-200000220000000-2-2000000000000
χ2622222222-2-2-222-2-2-222-200000-2-2000000022000000000000
χ2722222222-2-2-2-2-222-2-222200-200000-2002000000000000000
χ2822222222-2-2-2-2-222-2-222-200200000200-2000000000000000
χ29444-4-4-44-44000000-400000000000000000000022−2200000000
χ30444-4-4-44-44000000-4000000000000000000000−222200000000
χ31444-4-4-44-4-4000000400000000000000000002i2−2i20000000000
χ32444-4-4-44-4-400000040000000000000000000−2i22i20000000000
χ3344-44-4-4-4404i−4i0000000000000002-202i−2i0000000000000000
χ3444-44-4-4-4404i−4i000000000000000-220−2i2i0000000000000000
χ3544-44-4-4-440−4i4i0000000000000002-20−2i2i0000000000000000
χ3644-44-4-4-440−4i4i000000000000000-2202i−2i0000000000000000
χ374-44-44-4-44000004-40000000000000000000000002i2−2i2000000
χ384-44-44-4-44000004-4000000000000000000000000−2i22i2000000
χ394-44-44-4-4400000-44000000000000000000000000002i2−2i20000
χ404-44-44-4-4400000-4400000000000000000000000000−2i22i20000
χ414-4-444-44-40004-4000000000000000000000000000000002i2−2i2
χ424-4-444-44-40004-400000000000000000000000000000000−2i22i2
χ434-4-444-44-4000-440000000000000000000000000000002i2−2i200
χ444-4-444-44-4000-44000000000000000000000000000000−2i22i200
χ4588-8-888-8-8000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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