Finite Group Databasebeta

← Group #11655

Character table — Group #11655

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444444448888448888888888888816161616161616164444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111-1-1-1-1-1-1-111111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111-1-1-1-111-1-1-1-1-1-1-111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ7111111-1-1-1-111-1-1-1-1-1-1-111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ8111111-1-1-1-111-1-1-1-1-1-1-111111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ91111-1-111-1-111111111-1-111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-111-1-111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ111111-1-111-1-111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111-1-111-1-111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ131111-1-1-1-11111-1-1-1-1-1-11-111-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141111-1-1-1-11111-1-1-1-1-1-11-111-1-111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151111-1-1-1-11111-1-1-1-1-1-11-111-1-111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161111-1-1-1-11111-1-1-1-1-1-11-111-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-200002-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ1922222222-2-2-2-2-2-200002-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ20222222-2-222-2-2220000-2-2000000000000002−22−2−22−220000
χ21222222-2-222-2-2220000-2-200000000000000−22−222−22−20000
χ22222222-2-2-2-222-2-22222-22-2-2-2-22200000000000000000000
χ232222-2-22222-2-2-2-20000-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ242222-2-22222-2-2-2-20000-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ252222-2-222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000
χ262222-2-2-2-22222-2-222222-2-2-222-2-200000000000000000000
χ272222-2-2-2-2-2-2-2-222000022000000000000002−2−22−222−20000
χ282222-2-2-2-2-2-2-2-22200002200000000000000−222−22−2−220000
χ292-22-2002i−2i002-22i−2i2i2i−2i−2i002-20000002ζ−2ζ002ζ3−2ζ3000000000000
χ302-22-2002i−2i002-22i−2i2i2i−2i−2i002-2000000−2ζ2ζ00−2ζ32ζ3000000000000
χ312-22-2002i−2i002-22i−2i−2i−2i2i2i00-2200002ζ−2ζ002ζ3−2ζ300000000000000
χ322-22-2002i−2i002-22i−2i−2i−2i2i2i00-220000−2ζ2ζ00−2ζ32ζ300000000000000
χ332-22-200−2i2i002-2−2i2i2i2i−2i−2i00-2200002ζ3−2ζ3002ζ−2ζ00000000000000
χ342-22-200−2i2i002-2−2i2i2i2i−2i−2i00-220000−2ζ32ζ300−2ζ2ζ00000000000000
χ352-22-200−2i2i002-2−2i2i−2i−2i2i2i002-20000002ζ3−2ζ3002ζ−2ζ000000000000
χ362-22-200−2i2i002-2−2i2i−2i−2i2i2i002-2000000−2ζ32ζ300−2ζ2ζ000000000000
χ3744-4-44-40000000022−2222−2200000022−2200000000000000000000
χ3844-4-44-400000000−2222−2222000000−222200000000000000000000
χ3944-4-4-440000000022−2222−22000000−222200000000000000000000
χ4044-4-4-4400000000−2222−222200000022−2200000000000000000000
χ414-44-4004i−4i00-44−4i4i00000000000000000000000000000000
χ424-44-400−4i4i00-444i−4i00000000000000000000000000000000
χ434-4-4400004-400002i2−2i2−2i22i200002i2−2i20000000000000000000000
χ444-4-4400004-40000−2i22i22i2−2i20000−2i22i20000000000000000000000
χ454-4-440000-4400002i2−2i2−2i22i20000−2i22i20000000000000000000000
χ464-4-440000-440000−2i22i22i2−2i200002i2−2i20000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.