Finite Group Databasebeta

← Group #1706

Character table — Group #1706

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122222222222222222222222222222216161616
order12224444448888888888888888888888882244
χ111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1
χ61111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11
χ71111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11
χ81111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ9222222-2-2-2-200000000000000002222-2-2-2-20000
χ10222222-2-2-2-20000000000000000-2-2-2-222220000
χ112222-2-222-2-22222-2-2-2-200000000000000000000
χ122222-2-222-2-2-2-2-2-2222200000000000000000000
χ132222-2-2-2-222000000002222-2-2-2-2000000000000
χ142222-2-2-2-22200000000-2-2-2-22222000000000000
χ1522-2-2002-200000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000
χ1622-2-2002-200000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000
χ1722-2-2002-2000000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ1822-2-2002-2000000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ1922-2-200-220022-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000
χ2022-2-200-220022-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000
χ2122-2-200-2200-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000
χ2222-2-200-2200-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000
χ232-22-22-200002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i0000
χ242-22-22-200002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i0000
χ252-22-22-20000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000
χ262-22-22-20000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i0000
χ272-22-2-2200002−22−2−22−22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i00000000
χ282-22-2-2200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i00000000
χ292-22-2-220000−22−222−22−2i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i00000000
χ302-22-2-220000−22−222−22−2−i2i2−i2i2i2−i2i2−i22i−2i2i−2i00000000
χ312-2-2200002-22−2−222−2−2200002-2-222−2−222−2−220000
χ322-2-2200002-22−2−222−2−220000-222-2−222−2−222−20000
χ332-2-2200002-2−222−2−222−200002-2-22−222−2−222−20000
χ342-2-2200002-2−222−2−222−20000-222-22−2−222−2−220000
χ352-2-220000-222−2−22−222−22-2-2200002−2−22−222−20000
χ362-2-220000-222−2−22−222−2-222-20000−222−22−2−220000
χ372-2-220000-22−222−22−2−222-2-220000−222−22−2−220000
χ382-2-220000-22−222−22−2−22-222-200002−2−22−222−20000

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