Finite Group Databasebeta

← Group #139621

Character table — Group #139621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222244444444444444444888888882244448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-11-1-11-1-111-111-1-1ii−i−iii−i−i1-11-11-1i−ii−i1-1i−ii−i
χ10111111-1-1-1-11-1-11-1-111-111-1-1ii−i−iii−i−i-111-1-11i−ii−i-11−ii−ii
χ11111111-1-1-1-11-1-11-1-111-111-1-1−i−iii−i−iii1-11-11-1−ii−ii1-1−ii−ii
χ12111111-1-1-1-11-1-11-1-111-111-1-1−i−iii−i−iii-111-1-11−ii−ii-11i−ii−i
χ13111111-1-1-1-11-1-11-1-111-1-1-111ii−i−i−i−iii1-1-111-1i−i−ii-11i−i−ii
χ14111111-1-1-1-11-1-11-1-111-1-1-111ii−i−i−i−iii-11-11-11i−i−ii1-1−iii−i
χ15111111-1-1-1-11-1-11-1-111-1-1-111−i−iiiii−i−i1-1-111-1−iii−i-11−iii−i
χ16111111-1-1-1-11-1-11-1-111-1-1-111−i−iiiii−i−i-11-11-11−iii−i1-1i−i−ii
χ1722222222222-2-22-2-2-2-2222220000000000-2-2000000000000
χ1822222222222-2-22-2-2-2-22-2-2-2-2000000000022000000000000
χ192222222222-22-2-22-22-2-200000000222200000000-2-2000000
χ202222222222-22-2-22-22-2-200000000-2-2-2-20000000022000000
χ212222222222-2-22-2-22-22-2000022220000000000-2-200000000
χ222222222222-2-22-2-22-22-20000-2-2-2-200000000002200000000
χ23222222-2-2-2-2222222-2-2-222-2-20000000000-22000000000000
χ24222222-2-2-2-2222222-2-2-2-2-22200000000002-2000000000000
χ25222222-2-2-2-2-22-2-22-2-22200002i2i−2i−2i0000000000−2i2i00000000
χ26222222-2-2-2-2-22-2-22-2-2220000−2i−2i2i2i00000000002i−2i00000000
χ27222222-2-2-2-2-2-22-2-222-22000000002i2i−2i−2i00000000−2i2i000000
χ28222222-2-2-2-2-2-22-2-222-2200000000−2i−2i2i2i000000002i−2i000000
χ294444-4-44-4-440000000000000000000002200-2-20000000000
χ304444-4-44-4-44000000000000000000000-2-200220000000000
χ314444-4-4-444-40000000000000000000002-200-220000000000
χ324444-4-4-444-4000000000000000000000-22002-20000000000
χ3344-4-400400-40000000002-22-22-22-22-22-20000000000000000
χ3444-4-400400-40000000002-22-2-22-22-22-220000000000000000
χ3544-4-400400-4000000000-22-222-22-2-22-220000000000000000
χ3644-4-400400-4000000000-22-22-22-222-22-20000000000000000
χ3744-4-400-40040000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ3844-4-400-40040000000002-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ3944-4-400-4004000000000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000
χ4044-4-400-4004000000000-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000
χ414-4-444-40000444-4-4-40000000000000000000000000000000
χ424-4-444-400004-4-4-4440000000000000000000000000000000
χ434-4-444-40000-44-44-440000000000000000000000000000000
χ444-4-444-40000-4-4444-40000000000000000000000000000000
χ458-88-80008i−8i00000000000000000000000000000000000000
χ468-88-8000−8i8i00000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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