Finite Group Databasebeta

← Group #179328

Character table — Group #179328

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442442224444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-111-111-1-11-1-11-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-111-1-1-1-1-11-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1111-1-1-111-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-1-1-11-1-1-1-1-111-11-1-1-1-1-1-111111111
χ9111111111-1-111111-1-1-11-1111111-1-1-1-1-11-1-111-1-111-1-111-1-1
χ10111111111-1-111111-1-1-11-1111-1-11-1-1-1-1-1111-1-111-1-111-1-111
χ11111111111-1-111111-1-1-11-1-1-1-1111-11111-1-1-1-1-11111-1-1-1-111
χ12111111111-1-111111-1-1-11-1-1-1-1-1-11-11111-11111-1-1-1-11111-1-1
χ13111111111-1-111111-1-1-1-1111-111-11-111-1-1-1-1-1-111-1-11111-1-1
χ14111111111-1-111111-1-1-1-1111-1-1-1-11-111-1-11111-1-111-1-1-1-111
χ15111111111-1-111111-1-1-1-11-1-1111-111-1-111-1-111-1-1-1-111-1-111
χ16111111111-1-111111-1-1-1-11-1-11-1-1-111-1-11111-1-11111-1-111-1-1
χ1722222222222-2-2-22-2-2-222200000-2-20000000000000000000
χ1822222222222-2-2-22-2-2-22-2-200000220000000000000000000
χ19222222222-2-2-2-2-22-222-22-200000-220000000000000000000
χ20222222222-2-2-2-2-22-222-2-22000002-20000000000000000000
χ2122222222-2222-2-2-22-22-2002-200000200-2000000000000000
χ2222222222-2222-2-2-22-22-200-2200000-2002000000000000000
χ2322222222-222-222-2-22-2-200002000002-20-200000000000000
χ2422222222-222-222-2-22-2-20000-200000-220200000000000000
χ2522222222-2-2-22-2-2-222-22002-200000-2002000000000000000
χ2622222222-2-2-22-2-2-222-2200-2200000200-2000000000000000
χ2722222222-2-2-2-222-2-2-2220000200000-220-200000000000000
χ2822222222-2-2-2-222-2-2-2220000-2000002-20200000000000000
χ294444-4-4-4-4400000-4000000000000000000000000000022−2200
χ304444-4-4-4-4400000-40000000000000000000000000000−222200
χ314444-4-4-4-4-40000040000000000000000000000000000002i2−2i2
χ324444-4-4-4-4-4000004000000000000000000000000000000−2i22i2
χ3344-4-444-4-404-400000000000002i−2i00000002i−2i000000000000
χ3444-4-444-4-404-40000000000000−2i2i0000000−2i2i000000000000
χ3544-4-444-4-40-4400000000000002i−2i0000000−2i2i000000000000
χ3644-4-444-4-40-440000000000000−2i2i00000002i−2i000000000000
χ374-44-44-44-400004-40000000000000000000000000002i2−2i20000
χ384-44-44-44-400004-4000000000000000000000000000−2i22i20000
χ394-44-44-44-40000-4400000000000000000000000002i2−2i2000000
χ404-44-44-44-40000-440000000000000000000000000−2i22i2000000
χ414-4-44-444-40004000-400000000000000000002i2−2i20000000000
χ424-4-44-444-40004000-40000000000000000000−2i22i20000000000
χ434-4-44-444-4000-4000400000000000000000000022−2200000000
χ444-4-44-444-4000-40004000000000000000000000−222200000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-888-8-88000000000000000000000000000000000000000

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