Finite Group Databasebeta

← Group #339754

Character table — Group #339754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888888888881616161616161616161632323232
order12222244444444444448888888888888888888824448888884488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-11111-1-1-1-11-1111-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11-11-1-11
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-11-1-1-111-111-1
χ51111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-111-1-11-1-1-1-11-11-1
χ61111111111111111111-1-11111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-11-11-11
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ9111111111111111-1-1-1-11111-1-1-1-11111-1-1111111-111-1-11-1-111-1-1-11
χ10111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-11-1-1-1-11-1111-1
χ11111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ12111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1
χ13111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1
χ14111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-111-111-111
χ15111111111111111-1-1-1-1-1-1-1-1111111-1-1111111111-1-1111-1-1-11-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-111-11-1-1-1-1-111-11
χ172222222-222-22-2-2-222-2-2220000220000000000000000-2000-200000
χ182222222-222-22-2-2-222-2-2-2-20000-2-200000000000000002000200000
χ192222222-222-22-2-2-2-2-222220000-2-200000000000000002000-200000
χ202222222-222-22-2-2-2-2-222-2-20000220000000000000000-2000200000
χ212222-2-222-2-2222-2-20000000022000000-2-2220000200-200000-20000
χ222222-2-222-2-2222-2-20000000022000000-2-2-2-20000-20020000020000
χ232222-2-222-2-2222-2-200000000-2-200000022220000-200200000-20000
χ242222-2-222-2-2222-2-200000000-2-200000022-2-20000200-20000020000
χ252222-2-2-22222-2-22-200000022000022-2-20000000002-200-200000000
χ262222-2-2-22222-2-22-2000000220000-2-2-2-2000000000-2200200000000
χ272222-2-2-22222-2-22-2000000-2-200002222000000000-2200-200000000
χ282222-2-2-22222-2-22-2000000-2-20000-2-2220000000002-200200000000
χ292-2-222-2202-20-20002i−2i002-22−2i2−i22i−2i002−2i2−i20022−2−2000000i2−i2000000
χ302-2-222-2202-20-20002i−2i002-2−22−i2i22i−2i00−22−i2i200−2−222000000−i2i2000000
χ312-2-222-2202-20-20002i−2i00-222−2i2−i2−2i2i002−2i2−i200−2−222000000−i2i2000000
χ322-2-222-2202-20-20002i−2i00-22−22−i2i2−2i2i00−22−i2i20022−2−2000000i2−i2000000
χ332-2-222-2202-20-2000−2i2i002-22−2−i2i2−2i2i002−2−i2i20022−2−2000000−i2i2000000
χ342-2-222-2202-20-2000−2i2i002-2−22i2−i2−2i2i00−22i2−i200−2−222000000i2−i2000000
χ352-2-222-2202-20-2000−2i2i00-222−2−i2i22i−2i002−2−i2i200−2−222000000i2−i2000000
χ362-2-222-2202-20-2000−2i2i00-22−22i2−i22i−2i00−22i2−i20022−2−2000000−i2i2000000
χ37444444-44-4-44-4-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000
χ394444-4-44-4-4-4-44-44400000000000000000000000000000000000000
χ404444-4-4-4-444-4-44-4400000000000000000000000000000000000000
χ4144-4-4000400-4000000000000000022−22000022−222-22-200000000000000
χ4244-4-4000400-4000000000000000022−220000−2222-22-2200000000000000
χ4344-4-4000400-40000000000000000−2222000022−22-22-2200000000000000
χ4444-4-4000400-40000000000000000−22220000−22222-22-200000000000000
χ454-4-444-4-40-4404000004-40000000000000000000000000000000000
χ464-4-444-4-40-440400000-440000000000000000000000000000000000
χ474-4-44-4440-440-4000000000002i2−2i2000000−2i22i200000000000000000000
χ484-4-44-4440-440-400000000000−2i22i20000002i2−2i200000000000000000000
χ494-4-44-44-404-40400000000022−22000000−22220000000000000000000000
χ504-4-44-44-404-404000000000−222200000022−220000000000000000000000
χ5188-8-8000-8008000000000000000000000000000000000000000000
χ528-88-8000000000000000000000000000000022−22−222200000000000000
χ538-88-80000000000000000000000000000000−222222−2200000000000000

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