Finite Group Databasebeta

← Group #178957

Character table — Group #178957

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11-11-1-1-11-11-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11-11-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-111-1-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-111-1-11-11-1-1-1-111111111-1-1
χ91111111111-1-11111-1-111-1-1-111-11-1-1-111-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1-1-111-11-1-1-111-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-1-1-1-111-11-11-1-1111-1-111-1-1-1-111-11
χ121111111111-1-11111-1-111-1-1-1-111-11-11-1-11-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-1-111-1-111-1111-1-111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-1-111-1-111-1111-1-1-1-11111-1-111-1-1-11
χ17222222222-222-2-22-22-222-2-2-20-20002000000000000000000
χ18222222222-222-2-22-22-2-2-2-22202000-2000000000000000000
χ19222222222-2-2-2-2-22-2-22222220-2000-2000000000000000000
χ20222222222-2-2-2-2-22-2-22-2-22-2-2020002000000000000000000
χ2122222222-2222-2-2-22-2-200200202000-20-2000000000000000
χ2222222222-2222-2-2-22-2-200200-20-2000202000000000000000
χ2322222222-22-2-2-2-2-222200-20020-200020-2000000000000000
χ2422222222-22-2-2-2-2-222200-200-202000-202000000000000000
χ2522222222-2-22222-2-2-2200-2000002200-20-200000000000000
χ2622222222-2-22222-2-2-2200-200000-2-20020200000000000000
χ2722222222-2-2-2-222-2-22-2002000002-200-20200000000000000
χ2822222222-2-2-2-222-2-22-200200000-220020-200000000000000
χ29444-44-4-4-40400000-4000000000000000000000000022−220000
χ30444-44-4-4-40400000-40000000000000000000000000−22220000
χ31444-44-4-4-40-40000040000000000000000000000000002i2−2i200
χ32444-44-4-4-40-4000004000000000000000000000000000−2i22i200
χ3344-44-4-44-4004i−4i0000000000000000000002-22i−2i0000000000
χ3444-44-4-44-4004i−4i000000000000000000000-22−2i2i0000000000
χ3544-44-4-44-400−4i4i0000000000000000000002-2−2i2i0000000000
χ3644-44-4-44-400−4i4i000000000000000000000-222i−2i0000000000
χ3744-4-4-44-44400000-40004i−4i000000000000000000000000000
χ3844-4-4-44-44400000-4000−4i4i000000000000000000000000000
χ3944-4-4-44-44-40000040000004-4000000000000000000000000
χ4044-4-4-44-44-4000004000000-44000000000000000000000000
χ414-44-4-4-44400004-4000000000000000000000000022−22000000
χ424-44-4-4-44400004-40000000000000000000000000−2222000000
χ434-44-4-4-4440000-440000000000000000000000022−2200000000
χ444-44-4-4-4440000-4400000000000000000000000−222200000000
χ458-888-88-8-8000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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