Finite Group Databasebeta

← Group #179194

Character table — Group #179194

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442244444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-11-1-1111-11-11-1-1-11-11111-1-1-1-11111-1-1
χ61111111111111111-1-11-1-1111-11-11-1-1-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-11-1-111-1-1-11-111-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-111-1-1-11-111-1-11-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-1-1-1-11-1-1111-11-1-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-1-1-1-11-1-1111-11-1-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-111-11
χ12111111111-1-11111111-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-111-1-111-1-11-11-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-111-1-111-1-11-11-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-111-1-1-1111-11-1-11-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-111-1-1-1111-11-1-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22222-2-2-2-20200000-20000000000000000
χ1822222222222-2-2-2-22-2-2222-2-20-20000020000000000000000
χ19222222222-2-2-2-2-2-2222-222220-200000-20000000000000000
χ20222222222-2-2-2-2-2-22-2-2-2-2-222020000020000000000000000
χ2122222222-22222-2-2-200-200-2200020-2200-200000000000000
χ2222222222-22222-2-2-200-200-22000-202-200200000000000000
χ2322222222-222-2-222-200-2002-22020-2000-2000000000000000
χ2422222222-222-2-222-200-2002-2-20-2020002000000000000000
χ2522222222-2-2-222-2-2-2002002-200020-2-200200000000000000
χ2622222222-2-2-222-2-2-2002002-2000-202200-200000000000000
χ2722222222-2-2-2-2-222-200200-2220-20-20002000000000000000
χ2822222222-2-2-2-2-222-200200-22-20202000-2000000000000000
χ29444-44-4-4-44000000-44-400000000000000000000000000000
χ30444-44-4-4-44000000-4-4400000000000000000000000000000
χ31444-44-4-4-4-400000040004i−4i00000000000000000000000000
χ32444-44-4-4-4-40000004000−4i4i00000000000000000000000000
χ3344-44-4-4-4404-400000000000000000000002i−2i2i−2i0000000000
χ3444-44-4-4-4404-40000000000000000000000−2i2i−2i2i0000000000
χ3544-44-4-4-440-4400000000000000000000002i−2i−2i2i0000000000
χ3644-44-4-4-440-440000000000000000000000−2i2i2i−2i0000000000
χ3744-4-4-444-4000004-4000000000000000000000000002i2−2i20000
χ3844-4-4-444-4000004-400000000000000000000000000−2i22i20000
χ3944-4-4-444-400000-4400000000000000000000000000002i2−2i200
χ4044-4-4-444-400000-440000000000000000000000000000−2i22i200
χ414-4-444-44-40004-4000000000000000000000000002i2−2i2000000
χ424-4-444-44-40004-400000000000000000000000000−2i22i2000000
χ434-4-444-44-4000-440000000000000000000000002i2−2i200000000
χ444-4-444-44-4000-44000000000000000000000000−2i22i200000000
χ458-888-88-8-8000000000000000000000000000000000000000
χ468-88-8-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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