Finite Group Databasebeta

← Group #178874

Character table — Group #178874

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9111111111-1-111111-111-1-1-1-11-11-11-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-1-1-11-11-11-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-1-1-1-111-1-11-11-1111-1-1-1-11111-1-1-11
χ12111111111-1-111111-111-1-1-1-1-111-1-11-11-11-1-11111-1-1-1-1111-1
χ13111111111-1-111111-1-1-1-1-1111-1-111-1-11-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-1-111-11-11-111-11-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-111-11-11-111-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2002-2002200-2-2000000000000000000
χ1822222222222-2-2-2-22-2002-200-2-20022000000000000000000
χ19222222222-2-2-2-2-2-22200-22002-200-22000000000000000000
χ20222222222-2-2-2-2-2-22200-2200-22002-2000000000000000000
χ2122222222-22222-2-2-2222-2-2-2-200-2200000000000000000000
χ2222222222-22222-2-2-22-2-2-2-222002-200000000000000000000
χ2322222222-222-2-222-2-200-220000000022-2-200000000000000
χ2422222222-222-2-222-2-200-2200000000-2-22200000000000000
χ2522222222-2-2-222-2-2-2-222222200-2-200000000000000000000
χ2622222222-2-2-222-2-2-2-2-2-222-2-2002200000000000000000000
χ2722222222-2-2-2-2-222-22002-2000000002-2-2200000000000000
χ2822222222-2-2-2-2-222-22002-200000000-222-200000000000000
χ2944-444-4-4-44000000-400000000000000000000022−2200000000
χ3044-444-4-4-44000000-4000000000000000000000−222200000000
χ3144-444-4-4-4-40000004000000000000000000000002i2−2i2000000
χ3244-444-4-4-4-4000000400000000000000000000000−2i22i2000000
χ3344-4-4-444-4000004-4000000000000000000000000002i2−2i20000
χ3444-4-4-444-4000004-400000000000000000000000000−2i22i20000
χ3544-4-4-444-400000-4400000000000000000000000000002i2−2i200
χ3644-4-4-444-400000-440000000000000000000000000000−2i22i200
χ374-44-444-4-40004-4000000004i−4i000000000000000000000000
χ384-44-444-4-40004-400000000−4i4i000000000000000000000000
χ394-44-444-4-4000-4400004i−4i0000000000000000000000000000
χ404-44-444-4-4000-440000−4i4i0000000000000000000000000000
χ414-4-4-44-44404-400000000000000000000002-22-20000000000
χ424-4-4-44-44404-40000000000000000000000-22-220000000000
χ434-4-4-44-4440-4400000000000000000000002-2-220000000000
χ444-4-4-44-4440-440000000000000000000000-222-20000000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-888-8-88-8000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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