Finite Group Databasebeta

← Group #179167

Character table — Group #179167

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-11-111-1-1-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-1-11-111-1-1-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11-1-111-1-11-1-1-1-111111111-1-1
χ91111111111-1-11111-1-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-111-11
χ111111111111-1-11111-1-1-111-1-11-1-1-1111-11-111-1-111-1-1-1-111-11
χ121111111111-1-11111-1-1-111-1-11-1-1-1111-11-1-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-1-111-11-11-1111-1-111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-1-111-11-11-1111-1-1-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-1-111-1-11-11-1-111111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-1-111-1-11-11-1-1111-1-11111-1-111-1-1-11
χ17222222222-222-22-2-22-2-20000020-22000-2000000000000000
χ18222222222-222-22-2-22-2-200000-202-20002000000000000000
χ19222222222-2-2-2-22-2-2-2220000020-2-20002000000000000000
χ20222222222-2-2-2-22-2-2-22200000-2022000-2000000000000000
χ2122222222-2222-2-22-2-22-222-2-2-200000020000000000000000
χ2222222222-2222-2-22-2-22-2-2-2222000000-20000000000000000
χ2322222222-22-2-2-2-22-22-222222-2000000-20000000000000000
χ2422222222-22-2-2-2-22-22-22-2-2-2-2200000020000000000000000
χ2522222222-2-2222-2-22-2-220000002002-200-200000000000000
χ2622222222-2-2222-2-22-2-22000000-200-2200200000000000000
χ2722222222-2-2-2-22-2-2222-2000000200-2200-200000000000000
χ2822222222-2-2-2-22-2-2222-2000000-2002-200200000000000000
χ29444-4-4-4-44004i−4i0000000000000000000002i−2i2-20000000000
χ30444-4-4-4-44004i−4i000000000000000000000−2i2i-220000000000
χ31444-4-4-4-4400−4i4i0000000000000000000002i−2i-220000000000
χ32444-4-4-4-4400−4i4i000000000000000000000−2i2i2-20000000000
χ3344-444-4-4-4040000-40000004-4000000000000000000000000
χ3444-444-4-4-4040000-4000000-44000000000000000000000000
χ3544-444-4-4-40-40000400004i−4i00000000000000000000000000
χ3644-444-4-4-40-4000040000−4i4i00000000000000000000000000
χ3744-4-4-444-440000-400000000000000000000000000022−220000
χ3844-4-4-444-440000-4000000000000000000000000000−22220000
χ3944-4-4-444-4-400004000000000000000000000000000002i2−2i200
χ4044-4-4-444-4-40000400000000000000000000000000000−2i22i200
χ414-4-44-44-440000400-4000000000000000000000002i2−2i2000000
χ424-4-44-44-440000400-400000000000000000000000−2i22i2000000
χ434-4-44-44-440000-400400000000000000000000022−2200000000
χ444-4-44-44-440000-4004000000000000000000000−222200000000
χ458-888-8-88-8000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-8-88-888000000000000000000000000000000000000000

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