Finite Group Databasebeta

← Group #13033

Character table — Group #13033

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order122224444884444888222244448816161616161616162444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ811111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ9111-1-11-11-111ii−i−i1-1-111-1-1ii−i−ii−i11-1-1ii−i−i1-1i−i
χ10111-1-11-11-111ii−i−i1-1-111-1-1ii−i−ii−i-1-111−i−iii-11−ii
χ11111-1-11-11-111ii−i−i1-1-1-1-111−i−iiii−i11-1-1ii−i−i-11−ii
χ12111-1-11-11-111ii−i−i1-1-1-1-111−i−iiii−i-1-111−i−iii1-1i−i
χ13111-1-11-11-111−i−iii1-1-111-1-1−i−iii−ii11-1-1−i−iii1-1−ii
χ14111-1-11-11-111−i−iii1-1-111-1-1−i−iii−ii-1-111ii−i−i-11i−i
χ15111-1-11-11-111−i−iii1-1-1-1-111ii−i−i−ii11-1-1−i−iii-11i−i
χ16111-1-11-11-111−i−iii1-1-1-1-111ii−i−i−ii-1-111ii−i−i1-1−ii
χ17222222222-2-22222-2-2-200000000-2-2000000000000
χ18222222222-2-2-2-2-2-2-2-2-20000000022000000000000
χ1922222-2-2-2-2002-22-200000000000002−22−22−22−20000
χ2022222-2-2-2-2002-22-20000000000000−22−22−22−220000
χ2122222-2-2-2-200-22-2200000000000002−22−2−22−220000
χ2222222-2-2-2-200-22-220000000000000−22−222−22−20000
χ23222-2-22-22-2-2-22i2i−2i−2i-22200000000−2i2i000000000000
χ24222-2-22-22-2-2-2−2i−2i2i2i-222000000002i−2i000000000000
χ25222-2-2-22-22002i−2i−2i2i00000000000002−2−22i2−i2−i2i20000
χ26222-2-2-22-22002i−2i−2i2i0000000000000−222−2−i2i2i2−i20000
χ27222-2-2-22-2200−2i2i2i−2i00000000000002−2−22−i2i2i2−i20000
χ28222-2-2-22-2200−2i2i2i−2i0000000000000−222−2i2−i2−i2i20000
χ2922-22-2-222-2220000-2-222-22-2000000000000000000
χ3022-22-2-222-2220000-2-22-22-22000000000000000000
χ3122-22-2-222-2-2-2000022-200002i−2i2i−2i00000000000000
χ3222-22-2-222-2-2-2000022-20000−2i2i−2i2i00000000000000
χ3322-2-22-2-222220000-22-22-2-22000000000000000000
χ3422-2-22-2-222220000-22-2-222-2000000000000000000
χ3522-2-22-2-222-2-200002-2200002-2-2200000000000000
χ3622-2-22-2-222-2-200002-220000-222-200000000000000
χ3744-44-44-4-440000000000000000000000000000000
χ3844-4-4444-4-40000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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