Finite Group Databasebeta

← Group #179083

Character table — Group #179083

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222224444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-11-11-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-11-11-11-1-1-1-11-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-1-11-11-11-11-1-11111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-11-11-11-11-1-1-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-1-1-111-1-11-111-1-1-111-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111-1-11-111-1-1-111-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-111-1-1-11-1-111-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-111-1-1-11-1-111-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-111111-1-111-1-1-111-1-1-1-111-1-1111-1
χ1411111111-1-1111111-1-1-1-1-111111-1-111-1-1-1-1-11111-1-111-1-1-11
χ1511111111-1-1111111-1-1-1-1-111-1-1-111-111-1111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-111-1-1-111-111-11-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-22-2-20000020-20-2020000000000000000
χ1822222222222-2-2-22-22-2-200000-202020-20000000000000000
χ192222222222-22-2-2-22-2-2222-2-200000020-2000000000000000
χ202222222222-22-2-2-22-2-22-2-222000000-202000000000000000
χ212222222222-2-222-2-2-22-2000020-20-20000200000000000000
χ222222222222-2-222-2-2-22-20000-202020000-200000000000000
χ2322222222-2-22-2-2-22-2-222000002020-20-20000000000000000
χ2422222222-2-22-2-2-22-2-22200000-20-202020000000000000000
χ2522222222-2-2-22-2-2-2222-22222000000-20-2000000000000000
χ2622222222-2-2-22-2-2-2222-2-2-2-2-2000000202000000000000000
χ2722222222-2-2-2-222-2-22-22000020-2020000-200000000000000
χ2822222222-2-2-2-222-2-22-220000-2020-20000200000000000000
χ29444-44-4-4-400004-40000000000000000000000000000022−2200
χ30444-44-4-4-400004-400000000000000000000000000000−222200
χ31444-44-4-4-40000-4400000000000000000000000000022−220000
χ32444-44-4-4-40000-44000000000000000000000000000−22220000
χ3344-44-4-44-40004000-40004-400000000000000000000000000
χ3444-44-4-44-40004000-4000-4400000000000000000000000000
χ3544-44-4-44-4000-40004000004i−4i000000000000000000000000
χ3644-44-4-44-4000-4000400000−4i4i000000000000000000000000
χ3744-4-4-44-444-40000000000000000000000000002i−2i2i−2i000000
χ3844-4-4-44-444-4000000000000000000000000000−2i2i−2i2i000000
χ3944-4-4-44-44-440000000000000000000000000002i−2i−2i2i000000
χ4044-4-4-44-44-44000000000000000000000000000−2i2i2i−2i000000
χ414-444-44-4-4004000-400000000000000000022−22000000000000
χ424-444-44-4-4004000-4000000000000000000−2222000000000000
χ434-444-44-4-400-40004000000000000000000002i2−2i20000000000
χ444-444-44-4-400-4000400000000000000000000−2i22i20000000000
χ458-88-8-8-888000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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