Finite Group Databasebeta

← Group #9268

Character table — Group #9268

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444448888888844448888888888884488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-1-1-1-111ii−i−iii−i−i1-11-1ii−i−ii−ii−i11-1-11-1i−i
χ10111111-1-1-1-1-1-1-111ii−i−iii−i−i1-11-1−i−iiii−ii−i-1-111-11−ii
χ11111111-1-1-1-1-1-1-111ii−i−i−i−iii-11-11ii−i−ii−i−ii11-1-1-11−ii
χ12111111-1-1-1-1-1-1-111ii−i−i−i−iii-11-11−i−iiii−i−ii-1-1111-1i−i
χ13111111-1-1-1-1-1-1-111−i−iiiii−i−i-11-11ii−i−i−iii−i-1-1111-1−ii
χ14111111-1-1-1-1-1-1-111−i−iiiii−i−i-11-11−i−iii−iii−i11-1-1-11i−i
χ15111111-1-1-1-1-1-1-111−i−iii−i−iii1-11-1ii−i−i−ii−ii-1-111-11i−i
χ16111111-1-1-1-1-1-1-111−i−iii−i−iii1-11-1−i−iii−ii−ii11-1-11-1−ii
χ172222222-222-22-2-2-22222000000000000-2-20000000000
χ182222222-222-22-2-2-2-2-2-2-2000000000000220000000000
χ19222222-22-2-22-22-2-22i2i−2i−2i000000000000−2i2i0000000000
χ20222222-22-2-22-22-2-2−2i−2i2i2i0000000000002i−2i0000000000
χ212222-2-222-222-2-2-220000000022-2-20000000000000000
χ222222-2-222-222-2-2-2200000000-2-2220000000000000000
χ232222-2-22-2-22-2-222-200002i2i−2i−2i0000000000−2i2i00000000
χ242222-2-22-2-22-2-222-20000−2i−2i2i2i00000000002i−2i00000000
χ252222-2-2-222-222-22-2000022220000000000-2-200000000
χ262222-2-2-222-222-22-20000-2-2-2-200000000002200000000
χ272222-2-2-2-22-2-222-22000000002-2-220000000000000000
χ282222-2-2-2-22-2-222-2200000000-222-20000000000000000
χ2922-2-22-2202-20-20002-22-2000000002−22−200002−22−20000
χ3022-2-22-2202-20-20002-22-200000000−22−220000−22−220000
χ3122-2-22-2202-20-2000-22-22000000002−22−20000−22−220000
χ3222-2-22-2202-20-2000-22-2200000000−22−2200002−22−20000
χ3322-2-22-2-20-22020002i−2i−2i2i00000000i2−i2−i2i200002−2−220000
χ3422-2-22-2-20-22020002i−2i−2i2i00000000−i2i2i2−i20000−222−20000
χ3522-2-22-2-20-2202000−2i2i2i−2i00000000i2−i2−i2i20000−222−20000
χ3622-2-22-2-20-2202000−2i2i2i−2i00000000−i2i2i2−i200002−2−220000
χ3744-4-4-4440-4-4040000000000000000000000000000000
χ3844-4-4-44-40440-40000000000000000000000000000000
χ394-44-4000400-40000000022−2222−2200000000000000000000
χ404-44-4000400-400000000−2222−222200000000000000000000
χ414-44-4000-4004000000002i2−2i2−2i22i200000000000000000000
χ424-44-4000-400400000000−2i22i22i2−2i200000000000000000000
χ438-8-88000000000000000000000000000000000000000

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