Finite Group Databasebeta

← Group #179327

Character table — Group #179327

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
χ51111111111111111111-1-111-111-1-11-1-11-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1111-1-1-111-1111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-11-1-1-1-1-111-11-1-111111111-1-1-1-1
χ9111111111-1-111111-1-1-11-11-11111-1-11-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-111111-1-1-11-11-11-1-11-1-11-11-111-1-111-1-111-1-111
χ11111111111-1-111111-1-1-11-1-11-1111-11-11-11-1-1-1-11111-1-1-1-111
χ12111111111-1-111111-1-1-11-1-11-1-1-11-11-11-111111-1-1-1-11111-1-1
χ13111111111-1-111111-1-1-1-111-1-111-11-1-1111-1-111-1-1-1-111-1-111
χ14111111111-1-111111-1-1-1-111-1-1-1-1-11-1-111111-1-11111-1-111-1-1
χ15111111111-1-111111-1-1-1-11-11111-1111-1-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-111111-1-1-1-11-111-1-1-1111-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-22-2-2-220000200000-220-200000000000000
χ1822222222222-2-2-22-2-2-220000-2000002-20200000000000000
χ19222222222-2-2-2-2-22-222-20000200000-2-20200000000000000
χ20222222222-2-2-2-2-22-222-20000-200000220-200000000000000
χ2122222222-2222-2-2-22-22-22200000-2-20000000000000000000
χ2222222222-2222-2-2-22-22-2-2-200000220000000000000000000
χ2322222222-222-222-2-22-2-2002-200000200-2000000000000000
χ2422222222-222-222-2-22-2-200-2200000-2002000000000000000
χ2522222222-2-2-22-2-2-222-222-200000-220000000000000000000
χ2622222222-2-2-22-2-2-222-22-22000002-20000000000000000000
χ2722222222-2-2-2-222-2-2-222002200000-200-2000000000000000
χ2822222222-2-2-2-222-2-2-22200-2-2000002002000000000000000
χ2944-44-44-4-404-400000000000002i−2i00000002i−2i000000000000
χ3044-44-44-4-404-40000000000000−2i2i0000000−2i2i000000000000
χ3144-44-44-4-40-4400000000000002i−2i0000000−2i2i000000000000
χ3244-44-44-4-40-440000000000000−2i2i00000002i−2i000000000000
χ3344-4-4-4-444400000-4000000000000000000002i2−2i20000000000
χ3444-4-4-4-444400000-400000000000000000000−2i22i20000000000
χ3544-4-4-4-444-4000004000000000000000000000022−2200000000
χ3644-4-4-4-444-40000040000000000000000000000−222200000000
χ374-444-4-44-400004-40000000000000000000000000002i2−2i20000
χ384-444-4-44-400004-4000000000000000000000000000−2i22i20000
χ394-444-4-44-40000-4400000000000000000000000002i2−2i2000000
χ404-444-4-44-40000-440000000000000000000000000−2i22i2000000
χ414-44-4-44-440004000-4000000000000000000000000000002i2−2i2
χ424-44-4-44-440004000-400000000000000000000000000000−2i22i2
χ434-44-4-44-44000-4000400000000000000000000000000022−2200
χ444-44-4-44-44000-40004000000000000000000000000000−222200
χ45888-88-8-8-8000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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