Finite Group Databasebeta

← Group #11664

Character table — Group #11664

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444444448888448888884444444416161616161616168888
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
χ5111111-1-1-1-111-1-1-1-1-1-11-11111-1-11111-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111-1-1-1-111-1-1-1-1-1-11-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ8111111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
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
χ131111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-111ii−i−i−i−iiii−i−ii
χ141111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-111−i−iiiii−i−i−iii−i
χ151111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-11111-1-1ii−i−i−i−iii−iii−i
χ161111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-20000-2-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ192222222222-2-2-2-20000-2-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ20222222-2-2-2-222-2-222222-2-2-2-2-22200000000000000000000
χ21222222-2-2-2-2-2-2220000-22000000000000002−22−2−22−220000
χ22222222-2-2-2-2-2-2220000-2200000000000000−22−222−22−20000
χ232222-2-222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000
χ242222-2-222-2-2-2-2-2-200002200000000000000i2−i2−i2i2i2−i2−i2i20000
χ252222-2-222-2-2-2-2-2-200002200000000000000−i2i2i2−i2−i2i2i2−i20000
χ262222-2-2-2-22222-2-22222-22-2-222-2-200000000000000000000
χ272222-2-2-2-222-2-22200002-2000000000000002−2−22−222−20000
χ282222-2-2-2-222-2-22200002-200000000000000−222−22−2−220000
χ292-22-2002i−2i002-22i−2i2i2i−2i−2i002-20000002-2002i−2i000000000000
χ302-22-2002i−2i002-22i−2i2i2i−2i−2i002-2000000-2200−2i2i000000000000
χ312-22-2002i−2i002-22i−2i−2i−2i2i2i00-2200002-2002i−2i00000000000000
χ322-22-2002i−2i002-22i−2i−2i−2i2i2i00-220000-2200−2i2i00000000000000
χ332-22-200−2i2i002-2−2i2i2i2i−2i−2i00-2200002-200−2i2i00000000000000
χ342-22-200−2i2i002-2−2i2i2i2i−2i−2i00-220000-22002i−2i00000000000000
χ352-22-200−2i2i002-2−2i2i−2i−2i2i2i002-20000002-200−2i2i000000000000
χ362-22-200−2i2i002-2−2i2i−2i−2i2i2i002-2000000-22002i−2i000000000000
χ3744-4-400004-4000022−2222−22000022−220000000000000000000000
χ3844-4-400004-40000−2222−22220000−22220000000000000000000000
χ3944-4-40000-44000022−2222−220000−22220000000000000000000000
χ4044-4-40000-440000−2222−2222000022−220000000000000000000000
χ414-44-4004i−4i00-44−4i4i00000000000000000000000000000000
χ424-44-400−4i4i00-444i−4i00000000000000000000000000000000
χ434-4-444-4000000002i2−2i2−2i22i20000002i2−2i200000000000000000000
χ444-4-444-400000000−2i22i22i2−2i2000000−2i22i200000000000000000000
χ454-4-44-44000000002i2−2i2−2i22i2000000−2i22i200000000000000000000
χ464-4-44-4400000000−2i22i22i2−2i20000002i2−2i200000000000000000000

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