Finite Group Databasebeta

← Group #178984

Character table — Group #178984

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11-1-111-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11-1-111-1-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1
χ91111111111-1-11111-1-111-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-1-1-1-11-1-111-11-1111-1-111-1-1-1-111-11
χ121111111111-1-11111-1-111-1-1-1-11-1-111-11-11-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-1-1111-1-11-111-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-1-1111-1-11-111-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-1-111-1-11-11-1111-111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-1-111-1-11-11-1111-1-1-11111-1-111-1-1-11
χ17222222222-222-22-2-22-200-20000200-200-2200000000000000
χ18222222222-222-22-2-22-200-20000-2002002-200000000000000
χ19222222222-2-2-2-22-2-2-220020000200200-2-200000000000000
χ20222222222-2-2-2-22-2-2-220020000-200-2002200000000000000
χ2122222222-2222-2-22-2-2-200200200-2200-20000000000000000
χ2222222222-2222-2-22-2-2-200200-2002-20020000000000000000
χ2322222222-22-2-2-2-22-22200-200200-2-20020000000000000000
χ2422222222-22-2-2-2-22-22200-200-2002200-20000000000000000
χ2522222222-2-2222-2-22-2222-2-2-20-20000200000000000000000
χ2622222222-2-2222-2-22-22-2-2-222020000-200000000000000000
χ2722222222-2-2-2-22-2-222-2222220-20000-200000000000000000
χ2822222222-2-2-2-22-2-222-2-2-22-2-2020000200000000000000000
χ29444-44-4-4-4040000-40000000000000000000000000022−220000
χ30444-44-4-4-4040000-400000000000000000000000000−22220000
χ31444-44-4-4-40-40000400000000000000000000000000002i2−2i200
χ32444-44-4-4-40-4000040000000000000000000000000000−2i22i200
χ3344-44-44-4-440000-40000000000000000000000022−2200000000
χ3444-44-44-4-440000-400000000000000000000000−222200000000
χ3544-44-44-4-4-40000400000000000000000000000002i2−2i2000000
χ3644-44-44-4-4-4000040000000000000000000000000−2i22i2000000
χ374-444-4-44-4004i−4i0000000000000000000002-22i−2i0000000000
χ384-444-4-44-4004i−4i000000000000000000000-22−2i2i0000000000
χ394-444-4-44-400−4i4i0000000000000000000002-2−2i2i0000000000
χ404-444-4-44-400−4i4i000000000000000000000-222i−2i0000000000
χ414-44-4-44-440000400-4004i−4i000000000000000000000000000
χ424-44-4-44-440000400-400−4i4i000000000000000000000000000
χ434-44-4-44-440000-4004000004-4000000000000000000000000
χ444-44-4-44-440000-400400000-44000000000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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