Finite Group Databasebeta

← Group #177705

Character table — Group #177705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111-11-1-1-11-11-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-111-11-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11-11-11-1-1-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11-11-11-1-1-11-11-1-1-1-111111111-1-1
χ91111111111-1-11111-1-111-1-1-1111-11-1-11-1-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1-1-1111-11-1-11-1-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-1-1-1-1-1-111-11-11111-1-111-1-1-1-111-11
χ121111111111-1-11111-1-111-1-1-1-1-1-111-11-111-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-111-11-111-11-1-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-111-11-111-11-1-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-111-1-11-1-1-11111-111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-111-1-11-1-1-11111-1-1-11111-1-111-1-1-11
χ17222222222-222-22-2-2-2-2222220000-2-2000000000000000000
χ18222222222-222-22-2-2-2-2-2-2-2-22000022000000000000000000
χ19222222222-2-2-2-22-2-22222-2-2-20000-22000000000000000000
χ20222222222-2-2-2-22-2-222-2-222-200002-2000000000000000000
χ2122222222-2222-2-22-22-20000-2020-2000-20200000000000000
χ2222222222-2222-2-22-22-20000-20-20200020-200000000000000
χ2322222222-22-2-2-2-22-2-22000020202000-20-200000000000000
χ2422222222-22-2-2-2-22-2-22000020-20-200020200000000000000
χ2522222222-2-2222-2-22-220000-220-2000-202000000000000000
χ2622222222-2-2222-2-22-220000-2-20200020-2000000000000000
χ2722222222-2-2-2-22-2-222-20000220-200020-2000000000000000
χ2822222222-2-2-2-22-2-222-200002-202000-202000000000000000
χ29444-4-44-4-440000-400004-4000000000000000000000000000
χ30444-4-44-4-440000-40000-44000000000000000000000000000
χ31444-4-44-4-4-4000040000004i−4i0000000000000000000000000
χ32444-4-44-4-4-400004000000−4i4i0000000000000000000000000
χ3344-4-44-4-44004-4000000000000000000000000000002i−2i2i−2i00
χ3444-4-44-4-44004-400000000000000000000000000000−2i2i−2i2i00
χ3544-4-44-4-4400-44000000000000000000000000000002i−2i−2i2i00
χ3644-4-44-4-4400-4400000000000000000000000000000−2i2i2i−2i00
χ374-4444-4-4-4040000-4000000000000000000000022−2200000000
χ384-4444-4-4-4040000-40000000000000000000000−222200000000
χ394-4444-4-4-40-4000040000000000000000000000002i2−2i2000000
χ404-4444-4-4-40-400004000000000000000000000000−2i22i2000000
χ414-4-4-4444-40000400-400000000000000000002i2−2i20000000000
χ424-4-4-4444-40000400-40000000000000000000−2i22i20000000000
χ434-4-4-4444-40000-40040000000000000000022−22000000000000
χ444-4-4-4444-40000-400400000000000000000−2222000000000000
χ4588-88-8-88-8000000000000000000000000000000000000000
χ468-88-8-8-888000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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