Finite Group Databasebeta

← Group #305008

Character table — Group #305008

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-11111-1-1-11-11-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-11111-1-1-11-11-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-11111-1-1-1-11-11-11-1111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-11111-1-1-1-11-11-11-11-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-1111-1-111-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-111-111-1-111-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-111-111-1-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-222-2-222-20000000000000000000000
χ1822222222222-2-2-2-22-2-2-2-2222-220000000000000000000000
χ19222222222-2-2-2-2-2-222222-2-2-2-220000000000000000000000
χ20222222222-2-2-2-2-2-2222-2-222-22-20000000000000000000000
χ2122222222-22222-2-2-22-20000-200002200-2-200000000000000
χ2222222222-22222-2-2-22-20000-20000-2-2002200000000000000
χ2322222222-222-2-222-2-220000-2002200-2-20000000000000000
χ2422222222-222-2-222-2-220000-200-2-200220000000000000000
χ2522222222-2-2-222-2-2-2-220000200002-200-2200000000000000
χ2622222222-2-2-222-2-2-2-22000020000-22002-200000000000000
χ2722222222-2-2-2-2-222-22-200002002-200-220000000000000000
χ2822222222-2-2-2-2-222-22-20000200-22002-20000000000000000
χ2922-222-2-2-2-2002-22-22002-22-200000000000002i−2i002i−2i000000
χ3022-222-2-2-2-2002-22-22002-22-20000000000000−2i2i00−2i2i000000
χ3122-222-2-2-2-2002-22-2200-22-2200000000000002i−2i00−2i2i000000
χ3222-222-2-2-2-2002-22-2200-22-220000000000000−2i2i002i−2i000000
χ3322-222-2-2-2-200-22-222002-2-22000000000002i−2i002i−2i00000000
χ3422-222-2-2-2-200-22-222002-2-2200000000000−2i2i00−2i2i00000000
χ3522-222-2-2-2-200-22-22200-222-2000000000002i−2i00−2i2i00000000
χ3622-222-2-2-2-200-22-22200-222-200000000000−2i2i002i−2i00000000
χ37444-4-4-4-4404-40000000000000000000000000000002-22-200
χ38444-4-4-4-4404-4000000000000000000000000000000-22-2200
χ39444-4-4-4-440-440000000000000000000000000000002-2-2200
χ40444-4-4-4-440-44000000000000000000000000000000-222-200
χ4144-444-4-4-44004-4-44-40000000000000000000000000000000
χ4244-444-4-4-4400-444-4-40000000000000000000000000000000
χ4388-8-8-888-8000000000000000000000000000000000000000
χ448-888-88-8-8000000000000000000000000000000000000000
χ458-88-88-88-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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