Finite Group Databasebeta

← Group #140005

Character table — Group #140005

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244442224444444488888888888822444488448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ5111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ6111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-1-1-111-111-1-11-1iiii−i−i−i−iii−i−i1-11-11-1i−ii−i1-1i−i
χ10111111-1-1-1-1-1-111-111-1-11-1iiii−i−i−i−iii−i−i-111-1-11i−i−ii-11−ii
χ11111111-1-1-1-1-1-111-111-1-11-1−i−i−i−iiiii−i−iii1-11-11-1−ii−ii1-1−ii
χ12111111-1-1-1-1-1-111-111-1-11-1−i−i−i−iiiii−i−iii-111-1-11−iii−i-11i−i
χ13111111-1-1-1-1-1-111-1-1-1111-1iiii−i−i−i−i−i−iii1-1-111-1−iii−i-11−ii
χ14111111-1-1-1-1-1-111-1-1-1111-1iiii−i−i−i−i−i−iii-11-11-11−ii−ii1-1i−i
χ15111111-1-1-1-1-1-111-1-1-1111-1−i−i−i−iiiiiii−i−i1-1-111-1i−i−ii-11i−i
χ16111111-1-1-1-1-1-111-1-1-1111-1−i−i−i−iiiiiii−i−i-11-11-11i−ii−i1-1−ii
χ17222222222222-22-20000-2-222-2-222-2-2000000000000000000
χ18222222222222-22-20000-2-2-2-222-2-222000000000000000000
χ192222222222-2-22-2-20000-22000000002222000000-2-2000000
χ202222222222-2-22-2-20000-2200000000-2-2-2-200000022000000
χ212222222222-2-2-2-2222222-200000000000000-2-20000000000
χ222222222222-2-2-2-22-2-2-2-22-200000000000000220000000000
χ23222222-2-2-2-2222-220000-2-2000000002i2i−2i−2i000000−2i2i000000
χ24222222-2-2-2-2222-220000-2-200000000−2i−2i2i2i0000002i−2i000000
χ25222222-2-2-2-222-2-2-222-2-22200000000000000-220000000000
χ26222222-2-2-2-222-2-2-2-2-22222000000000000002-20000000000
χ27222222-2-2-2-2-2-2-2220000-222i2i−2i−2i−2i−2i2i2i000000000000000000
χ28222222-2-2-2-2-2-2-2220000-22−2i−2i2i2i2i2i−2i−2i000000000000000000
χ294444-4-444-4-4000000000000000000000002200-2-200000000
χ304444-4-444-4-400000000000000000000000-2-2002200000000
χ314444-4-4-4-444000000000000000000000002-200-2200000000
χ324444-4-4-4-44400000000000000000000000-22002-200000000
χ3344-4-4004-400000002i−2i2i−2i002-2002-2002i−2i2i−2i00000000000000
χ3444-4-4004-400000002i−2i2i−2i00-2200-2200−2i2i−2i2i00000000000000
χ3544-4-4004-40000000−2i2i−2i2i002-2002-200−2i2i−2i2i00000000000000
χ3644-4-4004-40000000−2i2i−2i2i00-2200-22002i−2i2i−2i00000000000000
χ3744-4-400-4400000002i−2i−2i2i002i−2i00−2i2i00-222-200000000000000
χ3844-4-400-4400000002i−2i−2i2i00−2i2i002i−2i002-2-2200000000000000
χ3944-4-400-440000000−2i2i2i−2i002i−2i00−2i2i002-2-2200000000000000
χ4044-4-400-440000000−2i2i2i−2i00−2i2i002i−2i00-222-200000000000000
χ414-4-444-400004-4000000000002i2−2i2002i2−2i2000000000000000000
χ424-4-444-400004-400000000000−2i22i200−2i22i2000000000000000000
χ434-4-444-40000-440000000000022−2200−2222000000000000000000
χ444-4-444-40000-4400000000000−22220022−22000000000000000000
χ458-88-800008i−8i0000000000000000000000000000000000000
χ468-88-80000−8i8i0000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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