Finite Group Databasebeta

← Group #9783

Character table — Group #9783

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222222222444488888888444444444488888888888822444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1
χ9111111-1-1-1-11-1-111111-1-1-1-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1i−ii−i
χ10111111-1-1-1-11-1-111111-1-1-1-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−ii−ii
χ11111111-1-1-1-11-1-111111-1-1-1-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−ii−ii
χ12111111-1-1-1-11-1-111111-1-1-1-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111i−ii−i
χ13111111-1-1-1-11-1-11-1-1-1-111111-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1-11i−i−ii
χ14111111-1-1-1-11-1-11-1-1-1-111111-1iiii−i−i−i−i−i−i−i−iiiii-1-111-111-1−iii−i
χ15111111-1-1-1-11-1-11-1-1-1-111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-11−iii−i
χ16111111-1-1-1-11-1-11-1-1-1-111111-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1i−i−ii
χ172222222222-2-2-2-200000000-2-222-2-222-2-200000000000000000000
χ182222222222-2-2-2-200000000-2-2-2-222-2-22200000000000000000000
χ19222222-2-2-2-2-222-200000000-222i2i−2i−2i−2i−2i2i2i00000000000000000000
χ20222222-2-2-2-2-222-200000000-22−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ212222-2-22-2-222-2-222222-2-2-2-2-220000000000000000-2-22200000000
χ222222-2-22-2-222-2-22-2-2-2-22222-22000000000000000022-2-200000000
χ232222-2-22-2-22-222-2000000002-20000000022-2-222-2-2000000000000
χ242222-2-22-2-22-222-2000000002-200000000-2-222-2-222000000000000
χ252222-2-2-222-2222222222222-2-20000000000000000-2-2-2-200000000
χ262222-2-2-222-22222-2-2-2-2-2-2-2-2-2-20000000000000000222200000000
χ272222-2-2-222-2-2-2-2-20000000022000000002i2i−2i−2i−2i−2i2i2i000000000000
χ282222-2-2-222-2-2-2-2-2000000002200000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-2-222-222-2-2000022−2−222−2−200002i−2i002i−2ii2−i2i2−i2i2−i2i2−i22−22−200000000
χ302-2-222-222-2-2000022−2−222−2−20000−2i2i00−2i2i−i2i2−i2i2−i2i2−i2i22−22−200000000
χ312-2-222-222-2-20000−2−222−2−22200002i−2i002i−2i−i2i2−i2i2−i2i2−i2i2−22−2200000000
χ322-2-222-222-2-20000−2−222−2−2220000−2i2i00−2i2ii2−i2i2−i2i2−i2i2−i2−22−2200000000
χ332-2-222-2-2-222000022−2−2−2−22200002-200-222−22−2−22−222−2−2200000000
χ342-2-222-2-2-222000022−2−2−2−2220000-22002-2−22−222−22−22−2−2200000000
χ352-2-222-2-2-2220000−2−22222−2−200002-200-22−22−222−22−2−222−200000000
χ362-2-222-2-2-2220000−2−22222−2−20000-22002-22−22−2−22−22−222−200000000
χ372-2-22-222-22-2000022−2−2−2−222002i−2i002i−2i00i2−i2−i2i2i2−i2−i2i2−222−200000000
χ382-2-22-222-22-2000022−2−2−2−22200−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i2−222−200000000
χ392-2-22-222-22-20000−2−22222−2−2002i−2i002i−2i00−i2i2i2−i2−i2i2i2−i22−2−2200000000
χ402-2-22-222-22-20000−2−22222−2−200−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i22−2−2200000000
χ412-2-22-22-22-22000022−2−222−2−2002-200-22002−2−22−222−2−22−2200000000
χ422-2-22-22-22-22000022−2−222−2−200-22002-200−222−22−2−22−22−2200000000
χ432-2-22-22-22-220000−2−222−2−222002-200-2200−222−22−2−222−22−200000000
χ442-2-22-22-22-220000−2−222−2−22200-22002-2002−2−22−222−22−22−200000000
χ4544-4-400000004i−4i022−2222−222i2−2i22i2−2i2000000000000000000000000000000
χ4644-4-400000004i−4i0−2222−2222−2i22i2−2i22i2000000000000000000000000000000
χ4744-4-40000000−4i4i022−2222−22−2i22i2−2i22i2000000000000000000000000000000
χ4844-4-40000000−4i4i0−2222−22222i2−2i22i2−2i2000000000000000000000000000000
χ494-44-4000000400-400004i−4i−4i4i000000000000000000000000000000
χ504-44-4000000400-40000−4i4i4i−4i000000000000000000000000000000
χ514-44-4000000-40044-4-440000000000000000000000000000000000
χ524-44-4000000-4004-444-40000000000000000000000000000000000

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