Finite Group Databasebeta

← Group #139539

Character table — Group #139539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12222244442222444444444444488888888888888884444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ61111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ81111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ9111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1i−ii−i1-1
χ10111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111−ii−ii-11
χ11111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−ii−ii1-1
χ12111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111i−ii−i-11
χ13111111-1-1-1-1-1-1-1-111-1-111-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1i−i−ii-11
χ14111111-1-1-1-1-1-1-1-111-1-111-111-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111−iii−i1-1
χ15111111-1-1-1-1-1-1-1-111-1-111-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1−iii−i-11
χ16111111-1-1-1-1-1-1-1-111-1-111-111-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111i−i−ii1-1
χ1722222222222-22-2-2-2002-2-2000000000022220000-2-2-2-20000000000
χ1822222222222-22-2-2-2002-2-20000000000-2-2-2-2000022220000000000
χ192222222222-22-22-2-200-22-200000022220000-2-2-2-200000000000000
χ202222222222-22-22-2-200-22-2000000-2-2-2-20000222200000000000000
χ212222222222-2-2-2-22222-2-2222-2-2-2-200000000000000000000000000
χ222222222222-2-2-2-222-2-2-2-22-2-2222200000000000000000000000000
χ23222222-2-2-2-222222222-2-2-2-2-2-2-22200000000000000000000000000
χ24222222-2-2-2-2222222-2-2-2-2-22222-2-200000000000000000000000000
χ25222222-2-2-2-22-22-2-2-200-2220000002i2i−2i−2i0000−2i−2i2i2i00000000000000
χ26222222-2-2-2-22-22-2-2-200-222000000−2i−2i2i2i00002i2i−2i−2i00000000000000
χ27222222-2-2-2-2-22-22-2-2002-2200000000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ28222222-2-2-2-2-22-22-2-2002-220000000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ2922-2-22-2000022-2-22-22-200000002-22−22−22−22−22−22−22−22−20000000000
χ3022-2-22-2000022-2-22-22-200000002-2−22−22−22−22−22−22−22−220000000000
χ3122-2-22-2000022-2-22-2-220000000-222−22−2−22−222−22−2−22−220000000000
χ3222-2-22-2000022-2-22-2-220000000-22−22−222−22−2−22−222−22−20000000000
χ3322-2-22-200002-2-22-22000002i−2i2i−2i00i2−i2−i2i22−22−2−i2i2i2−i2−22−220000000000
χ3422-2-22-200002-2-22-22000002i−2i2i−2i00−i2i2i2−i2−22−22i2−i2−i2i22−22−20000000000
χ3522-2-22-200002-2-22-2200000−2i2i−2i2i00i2−i2−i2i2−22−22−i2i2i2−i22−22−20000000000
χ3622-2-22-200002-2-22-2200000−2i2i−2i2i00−i2i2i2−i22−22−2i2−i2−i2i2−22−220000000000
χ3722-2-22-20000-222-2-22000002i−2i−2i2i002−22−2i2−i2−i2i2−22−22−i2i2i2−i20000000000
χ3822-2-22-20000-222-2-22000002i−2i−2i2i00−22−22−i2i2i2−i22−22−2i2−i2−i2i20000000000
χ3922-2-22-20000-222-2-2200000−2i2i2i−2i002−22−2−i2i2i2−i2−22−22i2−i2−i2i20000000000
χ4022-2-22-20000-222-2-2200000−2i2i2i−2i00−22−22i2−i2−i2i22−22−2−i2i2i2−i20000000000
χ4122-2-22-20000-2-2222-22-20000000-22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000
χ4222-2-22-20000-2-2222-22-20000000-22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000
χ4322-2-22-20000-2-2222-2-2200000002-2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000
χ4422-2-22-20000-2-2222-2-2200000002-2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000
χ454444-4-44-4-440000000000000000000000000000000002-22-2000000
χ464444-4-44-4-44000000000000000000000000000000000-22-22000000
χ474444-4-4-444-40000000000000000000000000000000002-2-22000000
χ484444-4-4-444-4000000000000000000000000000000000-222-2000000
χ4988-8-8-8800000000000000000000000000000000000000000000000
χ508-88-80008i−8i00000000000000000000000000000000000000000000
χ518-88-8000−8i8i00000000000000000000000000000000000000000000
χ528-8-8800800-80000000000000000000000000000000000000000000
χ538-8-8800-80080000000000000000000000000000000000000000000

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