Finite Group Databasebeta

← Group #178058

Character table — Group #178058

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111111-1-11-1-11111-1-111-1-1111-1111-1-1-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-1-111-1-1111-1-1-11-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-1-111-1-1-1-1-11111-111-11-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-11111-1-111-1-1-1-1-11-1-11-111-1111-1-11111-1-111-1-1
χ13111111111-1-11-1-11111-1-1-1-11111-1111-11-1-1-11-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-11111-1-1-1-11111-11-1-1-11-1-1-111111-1-1-1-11111-1-1
χ15111111111-1-11-1-11111-1-1-1-111-1-11-111-11111-1-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-111-1-11-1-1-1-11111-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-2-2200002-20000002-20000000000000000
χ1822222222222-2-2-2-2-22-2-220000-22000000-220000000000000000
χ19222222222-2-2-222-2-22-22-200002-2000000-220000000000000000
χ20222222222-2-2-222-2-22-22-20000-220000002-20000000000000000
χ2122222222-2222-2-2-2-2-222-200000022000000-2-200000000000000
χ2222222222-2222-2-2-2-2-222-2000000-2-20000002200000000000000
χ2322222222-222-22222-2-2-2-222-2-2000000-22000000000000000000
χ2422222222-222-22222-2-2-2-2-2-2220000002-2000000000000000000
χ2522222222-2-2-2222-2-2-22-220000002-2000000-2200000000000000
χ2622222222-2-2-2222-2-2-22-22000000-220000002-200000000000000
χ2722222222-2-2-2-2-2-222-2-2222222000000-2-2000000000000000000
χ2822222222-2-2-2-2-2-222-2-222-2-2-2-200000022000000000000000000
χ294444-4-4-4-40000004-40000004-400000000000000000000000000
χ304444-4-4-4-40000004-4000000-4400000000000000000000000000
χ314444-4-4-4-4000000-4400004-40000000000000000000000000000
χ324444-4-4-4-4000000-440000-440000000000000000000000000000
χ3344-4-44-44-440000000-4000000000000000000000000000000022−22
χ3444-4-44-44-440000000-40000000000000000000000000000000−2222
χ3544-4-44-44-4-400000004000000000000000000000000000002i2−2i200
χ3644-4-44-44-4-40000000400000000000000000000000000000−2i22i200
χ374-44-44-4-4404i−4i000000000000000002-20000002i−2i000000000000
χ384-44-44-4-4404i−4i00000000000000000-22000000−2i2i000000000000
χ394-44-44-4-440−4i4i000000000000000002-2000000−2i2i000000000000
χ404-44-44-4-440−4i4i00000000000000000-220000002i−2i000000000000
χ414-44-4-444-400004-40000000000000000000000002i−2i2i−2i00000000
χ424-44-4-444-400004-4000000000000000000000000−2i2i−2i2i00000000
χ434-44-4-444-40000-440000000000000000000000002i−2i−2i2i00000000
χ444-44-4-444-40000-44000000000000000000000000−2i2i2i−2i00000000
χ454-4-44-4-444000400000-4000000000000000000000000002i2−2i20000
χ464-4-44-4-444000400000-400000000000000000000000000−2i22i20000
χ474-4-44-4-444000-400000400000000000000000000000022−22000000
χ484-4-44-4-444000-4000004000000000000000000000000−2222000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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