Finite Group Databasebeta

← Group #328365

Character table — Group #328365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-11-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-11-1-1-111-1-1-1-111111111-1-1
χ9111111111-1-1-1-1-1-111111-111-11-1-11-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-111111-111-11-1-11-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-1-1-111111-11-111-11-1-1-11-1111-1-111-1-1-1-111-11
χ12111111111-1-1-1-1-1-111111-11-111-11-1-1-11-11-1-111-1-11111-1-11-1
χ13111111111-1-1-1-1-1-111111-1-111-11-1-111-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-1-1-1-1-111111-1-111-11-1-111-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-1-1-111111-1-1-1-1-11111-111-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1-1-111111-1-1-1-1-11111-111-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-2-2-2200-2-2002000000000000000000
χ182222222222222-2-2-2-22-2-2-2-2002200-2000000000000000000
χ19222222222-2-2-2-222-2-22-2-22200-2200-2000000000000000000
χ20222222222-2-2-2-222-2-22-2-22-2002-2002000000000000000000
χ2122222222-222-2-2222-2-22-2-2002000-20002-200000000000000
χ2222222222-222-2-2222-2-22-2-200-20002000-2200000000000000
χ2322222222-222-2-2-2-2-22-2-22202000200-2-20000000000000000
χ2422222222-222-2-2-2-2-22-2-2220-2000-200220000000000000000
χ2522222222-2-2-22222-22-2-22-202000-200-220000000000000000
χ2622222222-2-2-22222-22-2-22-20-20002002-20000000000000000
χ2722222222-2-2-222-2-22-2-22-220020002000-2-200000000000000
χ2822222222-2-2-222-2-22-2-22-2200-2000-20002200000000000000
χ29444-4-44-4-4000004-4000000000000000000000000002i−2i2i−2i00
χ30444-4-44-4-4000004-400000000000000000000000000−2i2i−2i2i00
χ31444-4-44-4-400000-44000000000000000000000000002i−2i−2i2i00
χ32444-4-44-4-400000-4400000000000000000000000000−2i2i2i−2i00
χ3344-44-4-44-40004i−4i000000000000000000002-22i−2i0000000000
χ3444-44-4-44-40004i−4i00000000000000000000-22−2i2i0000000000
χ3544-44-4-44-4000−4i4i000000000000000000002-2−2i2i0000000000
χ3644-44-4-44-4000−4i4i00000000000000000000-222i−2i0000000000
χ3744-4-44-4-4404i−4i000000000000000000000000002-22i−2i000000
χ3844-4-44-4-4404i−4i00000000000000000000000000-22−2i2i000000
χ3944-4-44-4-440−4i4i000000000000000000000000002-2−2i2i000000
χ4044-4-44-4-440−4i4i00000000000000000000000000-222i−2i000000
χ414-44-4-4-444400000044-4-4-4000000000000000000000000000
χ424-44-4-4-4444000000-4-4-444000000000000000000000000000
χ434-44-4-4-444-40000004-44-44000000000000000000000000000
χ444-44-4-4-444-4000000-4444-4000000000000000000000000000
χ458-8888-8-8-8000000000000000000000000000000000000000
χ468-8-88-88-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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