Finite Group Databasebeta

← Group #334112

Character table — Group #334112

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-11-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-11-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-111
χ13111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111-111-1-1111-1-1
χ172222222222-2-22-2-22-2-22222220000000000-2-200000000-22000-2000000000
χ182222222222-2-22-2-22-2-22222-2-20000000000-2-2000000002-20002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-222000000000022000000002-2000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2-2-200000000002200000000-220002000000000
χ2122222222-2-222-222-2-2-200000022-2-22222-2-2000000000000-2000000000000
χ2222222222-2-222-222-2-2-200000022-2-2-2-2-2-2220000000000002000000000000
χ2322222222-2-222-222-2-2-2000000-2-22222-2-222000000000000-2000000000000
χ2422222222-2-222-222-2-2-2000000-2-222-2-222-2-20000000000002000000000000
χ252-2-222-22-2002-202-2000i2i2−i2−i200002i−2i2i−2i002-2i2−i222−2−2i2i2−i2−i20000002−20000000
χ262-2-222-22-2002-202-2000i2i2−i2−i200002i−2i−2i2i00-22i2−i222−2−2−i2−i2i2i2000000−220000000
χ272-2-222-22-2002-202-2000i2i2−i2−i20000−2i2i2i−2i00-22i2−i2−2−222−i2−i2i2i20000002−20000000
χ282-2-222-22-2002-202-2000i2i2−i2−i20000−2i2i−2i2i002-2i2−i2−2−222i2i2−i2−i2000000−220000000
χ292-2-222-22-2002-202-2000−i2−i2i2i200002i−2i2i−2i002-2−i2i2−2−222−i2−i2i2i2000000−220000000
χ302-2-222-22-2002-202-2000−i2−i2i2i200002i−2i−2i2i00-22−i2i2−2−222i2i2−i2−i20000002−20000000
χ312-2-222-22-2002-202-2000−i2−i2i2i20000−2i2i2i−2i00-22−i2i222−2−2i2i2−i2−i2000000−220000000
χ322-2-222-22-2002-202-2000−i2−i2i2i20000−2i2i−2i2i002-2−i2i222−2−2−i2−i2i2i20000002−20000000
χ332-2-2-2-2222-22-2-2-2222-220000000000000000002-22-200000002-2000002-2000
χ342-2-2-2-2222-22-2-2-2222-220000000000000000002-22-20000000-2200000-22000
χ352-2-2-2-2222-22-2-2-2222-22000000000000000000-22-2200000002-200000-22000
χ362-2-2-2-2222-22-2-2-2222-22000000000000000000-22-220000000-22000002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-4004-40-440000000004-4000000000000000000000000000000000
χ39444-4-4-44-4004-40-44000000000-44000000000000000000000000000000000
χ40444-4-4-44-400-4404-400000000000000000000022−22−22220000000000000000000
χ41444-4-4-44-400-4404-4000000000000000000000−222222−220000000000000000000
χ4244-44-44-4-44-400-40040000004-400000000000000000000000000000000000
χ4344-44-44-4-44-400-4004000000-4400000000000000000000000000000000000
χ4444-44-44-4-4-4400400-400000000000000000000000000000000000022−2200000
χ4544-44-44-4-4-4400400-4000000000000000000000000000000000000−222200000
χ4644-4-44-4-4400000000002i2−2i22i2−2i2000000002i2−2i2000000002-22-2000000000000000
χ4744-4-44-4-4400000000002i2−2i22i2−2i200000000−2i22i200000000-22-22000000000000000
χ4844-4-44-4-440000000000−2i22i2−2i22i2000000002i2−2i200000000-22-22000000000000000
χ4944-4-44-4-440000000000−2i22i2−2i22i200000000−2i22i2000000002-22-2000000000000000
χ504-44-444-4-44400-400-4004-4-440000000000000000000000000000000000000
χ514-44-444-4-44400-400-400-444-40000000000000000000000000000000000000
χ524-44-444-4-4-4-40040040000000000000000000000002i2−2i2−2i22i2000000000000000
χ534-44-444-4-4-4-4004004000000000000000000000000−2i22i22i2−2i2000000000000000
χ544-4-444-44-400-440-440002i22i2−2i2−2i2000000000000−2i22i200000000000000000000000
χ554-4-444-44-400-440-44000−2i2−2i22i22i20000000000002i2−2i200000000000000000000000
χ564-4-4-4-44444-4444-4-4-4-4400000000000000000000000000000000000000000
χ574-4-4-4-44444-4-4-4444-44-400000000000000000000000000000000000000000
χ584-4-4-4-4444-4444-4-4-444-400000000000000000000000000000000000000000
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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