Finite Group Databasebeta

← Group #140004

Character table — Group #140004

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244442224444444488888888888822244488448888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111
χ5111111111111111-1-1-1-11111111111-1-1-1-1-111-111-1-111-1-1-1-1
χ6111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-111
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-1-1-111-111-1-11-1ii−i−iii−i−iii−i−i11-1-11-1i−ii−i1-1i−i
χ10111111-1-1-1-1-1-111-111-1-11-1ii−i−iii−i−iii−i−i1-11-1-11i−i−ii-11−ii
χ11111111-1-1-1-1-1-111-111-1-11-1−i−iii−i−iii−i−iii11-1-11-1−ii−ii1-1−ii
χ12111111-1-1-1-1-1-111-111-1-11-1−i−iii−i−iii−i−iii1-11-1-11−iii−i-11i−i
χ13111111-1-1-1-1-1-111-1-1-1111-1ii−i−iii−i−i−i−iii-11-111-1−iii−i-11−ii
χ14111111-1-1-1-1-1-111-1-1-1111-1ii−i−iii−i−i−i−iii-1-111-11−ii−ii1-1i−i
χ15111111-1-1-1-1-1-111-1-1-1111-1−i−iii−i−iiiii−i−i-11-111-1i−i−ii-11i−i
χ16111111-1-1-1-1-1-111-1-1-1111-1−i−iii−i−iiiii−i−i-1-111-11i−ii−i1-1−ii
χ17222222222222-22-20000-2-22222-2-2-2-2000000000000000000
χ18222222222222-22-20000-2-2-2-2-2-22222000000000000000000
χ192222222222-2-22-2-20000-22000000002222000000-2-2000000
χ202222222222-2-22-2-20000-2200000000-2-2-2-200000022000000
χ212222222222-2-2-2-2222222-2000000000000-200-20000000000
χ222222222222-2-2-2-22-2-2-2-22-200000000000020020000000000
χ23222222-2-2-2-2222-220000-2-2000000002i2i−2i−2i000000−2i2i000000
χ24222222-2-2-2-2222-220000-2-200000000−2i−2i2i2i0000002i−2i000000
χ25222222-2-2-2-222-2-2-222-2-222000000000000-20020000000000
χ26222222-2-2-2-222-2-2-2-2-22222000000000000200-20000000000
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
χ294444-4-44-4-44000000000000000000000000220-2-200000000
χ304444-4-44-4-44000000000000000000000000-2-202200000000
χ314444-4-4-444-40000000000000000000000002-20-2200000000
χ324444-4-4-444-4000000000000000000000000-2202-200000000
χ334-44-400400-4000002-22-20000002i−2i2i−2i2i−2i2i−2i00000000000000
χ344-44-400400-4000002-22-2000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ354-44-400400-400000-22-220000002i−2i2i−2i−2i2i−2i2i00000000000000
χ364-44-400400-400000-22-22000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ374-44-400-4004000002-2-220000002-2-222-2-2200000000000000
χ384-44-400-4004000002-2-22000000-222-2-222-200000000000000
χ394-44-400-400400000-222-20000002-2-22-222-200000000000000
χ404-44-400-400400000-222-2000000-222-22-2-2200000000000000
χ414-4-444-400004-40000000002i2−2i22i2−2i20000000000000000000000
χ424-4-444-400004-4000000000−2i22i2−2i22i20000000000000000000000
χ434-4-444-40000-4400000000022−22−22220000000000000000000000
χ444-4-444-40000-44000000000−222222−220000000000000000000000
χ4588-8-80008i−8i00000000000000000000000000000000000000
χ4688-8-8000−8i8i00000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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