Finite Group Databasebeta

← Group #179206

Character table — Group #179206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-11-1-111-1-11-1-11111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-11-1-111-1-11-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1
χ911111111-1-1111111-111-1-1-1-111-1-1-11-11-1111-1-111-1-111-1-11-1
χ1011111111-1-1111111-111-1-1-1-111-1-1-11-11-11-1-111-1-111-1-111-11
χ1111111111-1-1111111-111-1-1-1-1-11-111-11-11-111-1-111-1-1-1-111-11
χ1211111111-1-1111111-111-1-1-1-1-11-111-11-11-1-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-11-1-1-1111-111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-11-1-1-1111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-1-11111-1-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-1-11111-1-1-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-222-22-2-20-22000000000000000000000
χ1822222222222-2-2-2-22-2-2-2-222202-2000000000000000000000
χ192222222222-222-2-2-2200-2-200000002-202-200000000000000
χ202222222222-222-2-2-2200-2-20000000-220-2200000000000000
χ212222222222-2-2-222-2-2002-2002002-200-20000000000000000
χ222222222222-2-2-222-2-2002-200-200-220020000000000000000
χ2322222222-2-22-2-2-2-222222-2220-2-2000000000000000000000
χ2422222222-2-22-2-2-2-222-2-22-2-2-2022000000000000000000000
χ2522222222-2-2-222-2-2-2-200220000000220-2-200000000000000
χ2622222222-2-2-222-2-2-2-200220000000-2-202200000000000000
χ2722222222-2-2-2-2-222-2200-2200200-2200-20000000000000000
χ2822222222-2-2-2-2-222-2200-2200-2002-20020000000000000000
χ294444-4-4-4-44-4000000000000000000000002-22-20000000000
χ304444-4-4-4-44-400000000000000000000000-22-220000000000
χ314444-4-4-4-4-44000000000000000000000002-2-220000000000
χ324444-4-4-4-4-4400000000000000000000000-222-20000000000
χ3344-4-44-44-40040000-4000004-4000000000000000000000000
χ3444-4-44-44-40040000-400000-44000000000000000000000000
χ3544-4-44-44-400-40000404i−4i0000000000000000000000000000
χ3644-4-44-44-400-4000040−4i4i0000000000000000000000000000
χ3744-4-4-44-44000004-400000000000000000000000000002i2−2i200
χ3844-4-4-44-44000004-40000000000000000000000000000−2i22i200
χ3944-4-4-44-4400000-44000000000000000000000000002i2−2i20000
χ4044-4-4-44-4400000-4400000000000000000000000000−2i22i20000
χ414-4-44-444-40004-40000000000000000000000002i2−2i200000000
χ424-4-44-444-40004-4000000000000000000000000−2i22i200000000
χ434-4-44-444-4000-44000000000000000000000000002i2−2i2000000
χ444-4-44-444-4000-4400000000000000000000000000−2i22i2000000
χ458-88-888-8-8000000000000000000000000000000000000000
χ468-88-8-8-888000000000000000000000000000000000000000
χ478-8-888-8-88000000000000000000000000000000000000000

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