Finite Group Databasebeta

← Group #9250

Character table — Group #9250

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444888844888888888888884488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-11-1-111111-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111-11-1-11-1111-1-1-1-1ii−i−i1-111-1-1i−iii−i−iii−i−i1-1i−i
χ10111111-11-1-11-1111-1-1-1-1ii−i−i1-1-1-111i−iii−i−i−i−iii-11−ii
χ11111111-11-1-11-1111-1-1-1-1−i−iii1-111-1-1−ii−i−iii−i−iii1-1−ii
χ12111111-11-1-11-1111-1-1-1-1−i−iii1-1-1-111−ii−i−iiiii−i−i-11i−i
χ13111111-11-1-11-11-1-1-111-1ii−i−i-1111-1-1i−i−i−iiiii−i−i-11−ii
χ14111111-11-1-11-11-1-1-111-1ii−i−i-11-1-111i−i−i−iii−i−iii1-1i−i
χ15111111-11-1-11-11-1-1-111-1−i−iii-1111-1-1−iiii−i−i−i−iii-11i−i
χ16111111-11-1-11-11-1-1-111-1−i−iii-11-1-111−iiii−i−iii−i−i1-1−ii
χ172222222-222-22-200-200-22222000000-2-2000000000000
χ182222222-222-22-200-200-2-2-2-2-200000022000000000000
χ19222222-2-2-2-2-2-2-20020022i2i−2i−2i000000−2i2i000000000000
χ20222222-2-2-2-2-2-2-2002002−2i−2i2i2i0000002i−2i000000000000
χ212222-2-222-222-2-222-2-2-220000-22000000000000000000
χ222222-2-222-222-2-2-2-2-222200002-2000000000000000000
χ232222-2-22-2-22-2-2200200-20000000000002i−2i2i−2i00000000
χ242222-2-22-2-22-2-2200200-2000000000000−2i2i−2i2i00000000
χ252222-2-2-222-222-222222-20000-2-2000000000000000000
χ262222-2-2-222-222-2-2-22-2-2-2000022000000000000000000
χ272222-2-2-2-22-2-22200-20020000000000002-2-2200000000
χ282222-2-2-2-22-2-22200-2002000000000000-222-200000000
χ2922-2-22-2202-20-200000002-22-2002−22−20000002−22−20000
χ3022-2-22-2202-20-200000002-22-200−22−22000000−22−220000
χ3122-2-22-2202-20-20000000-22-22002−22−2000000−22−220000
χ3222-2-22-2202-20-20000000-22-2200−22−220000002−22−20000
χ3322-2-22-2-20-220200000002i−2i−2i2i002−2−22000000i2−i2−i2i20000
χ3422-2-22-2-20-220200000002i−2i−2i2i00−222−2000000−i2i2i2−i20000
χ3522-2-22-2-20-22020000000−2i2i2i−2i002−2−22000000−i2i2i2−i20000
χ3622-2-22-2-20-22020000000−2i2i2i−2i00−222−2000000i2−i2−i2i20000
χ3744-4-4-4440-4-4040000000000000000000000000000000
χ3844-4-4-44-40440-40000000000000000000000000000000
χ394-44-4000400-4004-40000000000000000000000000000
χ404-44-4000400-400-440000000000000000000000000000
χ414-44-4000-4004000004i−4i0000000000000000000000000
χ424-44-4000-400400000−4i4i0000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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