Finite Group Databasebeta

← Group #329042

Character table — Group #329042

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-11-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-111-1-111-1-11111-1-1-11-1-11-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-1-11111-1-1-11-1-11-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-111-1-11-11-11-1-1-111-1111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-111-1-11-11-11-1-1-111-11-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-1-11-1-11111-1-1-1111-1-1-1-111-1-11111-1-1
χ14111111111111-1-111-1-111-1-1-11-1-11111-1-1-11-1-11111-1-111-1-1-1-111
χ15111111111111-1-111-1-111-1-1-1-1-11-111-1111-111-1-111-1-1-1-111-1-111
χ16111111111111-1-111-1-111-1-1-1-1-11-111-1111-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-20002-200000-220000000000000000
χ1822222222222222-2-2-2-2-2-22-2000-22000002-20000000000000000
χ19222222222222-2-2-2-222-2-2-220002200000-2-20000000000000000
χ20222222222222-2-2-2-222-2-2-22000-2-200000220000000000000000
χ2122222222-2-2-2-2222-2222-2-2-220-2002-2000000000000000000000
χ2222222222-2-2-2-2222-2222-2-2-2-20200-22000000000000000000000
χ2322222222-2-2-2-222-22-2-2-22-220200000-22-2000000000000000000
χ2422222222-2-2-2-222-22-2-2-22-220-2000002-22000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-22220-200-22000000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-222-202002-2000000000000000000000
χ2722222222-2-2-2-2-2-2-2222-222-20200000-2-22000000000000000000
χ2822222222-2-2-2-2-2-2-2222-222-20-20000022-2000000000000000000
χ29444-44-4-4-444-4-4004-400-44000000000000000000000000000000
χ30444-44-4-4-444-4-400-44004-4000000000000000000000000000000
χ31444-44-4-4-4-4-444004400-4-4000000000000000000000000000000
χ32444-44-4-4-4-4-44400-4-40044000000000000000000000000000000
χ3344-4-4-44-44000000004-4000000000000000000002i−2i2i−2i00000000
χ3444-4-4-44-44000000004-400000000000000000000−2i2i−2i2i00000000
χ3544-4-4-44-4400000000-44000000000000000000002i−2i−2i2i00000000
χ3644-4-4-44-4400000000-4400000000000000000000−2i2i2i−2i00000000
χ374-444-4-4-444-44-40000000000000000000000000000000000002i2−2i2
χ384-444-4-4-444-44-4000000000000000000000000000000000000−2i22i2
χ394-444-4-4-44-44-4400000000000000000000000000000000002i2−2i200
χ404-444-4-4-44-44-440000000000000000000000000000000000−2i22i200
χ414-44-4-444-44-4-44000000000000000000000000000000002i2−2i20000
χ424-44-4-444-44-4-4400000000000000000000000000000000−2i22i20000
χ434-44-4-444-4-444-40000000000000000000000000000002i2−2i2000000
χ444-44-4-444-4-444-4000000000000000000000000000000−2i22i2000000
χ454-4-4444-4-400004-4000000000000000000002i−2i2i−2i000000000000
χ464-4-4444-4-400004-400000000000000000000−2i2i−2i2i000000000000
χ474-4-4444-4-40000-44000000000000000000002i−2i−2i2i000000000000
χ484-4-4444-4-40000-4400000000000000000000−2i2i2i−2i000000000000
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-8-8-88-888000000000000000000000000000000000000000000

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