Finite Group Databasebeta

← Group #334649

Character table — Group #334649

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488882288888888888888224444444888888248
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1111-111-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-11-1-111-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11
χ51111111111111111111-1-11111-1-1111111111-1-11-1-1-111-1-1-11-1-1-1-11
χ61111111111111111111-1-11111-1-11111-1-111-11-1-1111-1-1-1-1-1-1-1-111-1
χ71111111111111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111111-1-11111-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-11-111111
χ9111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-11-11-11-1-1-1-111-1-1-111
χ10111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-111-1-11-1-1-11-1-1
χ11111111111111111-1-1-1-111-1-111-1-1-1-11111-1-11111-11-1-1-1-1-1-1111-11-1
χ12111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11-1111-1-1-1-1111-11
χ13111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-11-1-1-11-1-1-111-11111-11
χ14111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-111-111111-1-111-11-1
χ15111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11-1-11111-1-11-1-1
χ16111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-1-11-111111-1-1-1-111
χ1722222222-222-2-2-2-2000022220022-2-200000000-200000000-2000000
χ1822222222-222-2-2-2-2000022-2-200-2-22200000000-2000000002000000
χ1922222222-222-2-2-2-20000-2-22200-2-2-2-2000000002000000002000000
χ2022222222-222-2-2-2-20000-2-2-2-200222200000000200000000-2000000
χ212222-2-22-222-22-22-200000000220000-2-22200-200200000000-200000
χ222222-2-22-222-22-22-200000000220000-2-2-2-200200-200000000200000
χ232222-2-22-222-22-22-200000000-2-20000222200200-200000000-200000
χ242222-2-22-222-22-22-200000000-2-2000022-2-200-200200000000200000
χ252222-2-2-222-222-2-22222200000000000000-2-20200-2-2200000000000
χ262222-2-2-222-222-2-22222200000000000000-2-20-20022-200000000000
χ272222-2-2-222-222-2-22-2-2-2-2000000000000002202002-2-200000000000
χ282222-2-2-222-222-2-22-2-2-2-200000000000000220-200-22200000000000
χ2922-2-2-22220-2-20000i2i2−i2−i22-22-2i2−i22-200i2−i200i2−i2000000000i2−i200i2−i2000
χ3022-2-2-22220-2-20000i2i2−i2−i22-2-22−i2i2-2200−i2i200i2−i2000000000i2−i200−i2i2000
χ3122-2-2-22220-2-20000i2i2−i2−i2-222-2i2−i2-2200i2−i200i2−i2000000000−i2i200−i2i2000
χ3222-2-2-22220-2-20000i2i2−i2−i2-22-22−i2i22-200−i2i200i2−i2000000000−i2i200i2−i2000
χ3322-2-2-22220-2-20000−i2−i2i2i22-22-2−i2i22-200−i2i200−i2i2000000000−i2i200−i2i2000
χ3422-2-2-22220-2-20000−i2−i2i2i22-2-22i2−i2-2200i2−i200−i2i2000000000−i2i200i2−i2000
χ3522-2-2-22220-2-20000−i2−i2i2i2-222-2−i2i2-2200−i2i200−i2i2000000000i2−i200i2−i2000
χ3622-2-2-22220-2-20000−i2−i2i2i2-22-22i2−i22-200i2−i200−i2i2000000000i2−i200−i2i2000
χ37444444-4-44-4-444-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ394444-4-44-4-44-4-44-4400000000000000000000000000000000000000
χ404444-4-4-44-4-44-444-400000000000000000000000000000000000000
χ4144-4-44-44-40-440000000000002i2−2i20000−2i22i20000000000000000000000
χ4244-4-44-44-40-44000000000000−2i22i200002i2−2i20000000000000000000000
χ4344-4-44-4-4404-400002i22i2−2i2−2i200000000000000−2i22i2000000000000000000
χ4444-4-44-4-4404-40000−2i2−2i22i22i2000000000000002i2−2i2000000000000000000
χ4544-4-4-44-4-404400000000000000004-4000000000000000000000000
χ4644-4-4-44-4-40440000000000000000-44000000000000000000000000
χ474-44-40000400-40002i2−2i22i2−2i20000000000002i2−2i20000000002-2000000000
χ484-44-40000400-40002i2−2i22i2−2i2000000000000−2i22i2000000000-22000000000
χ494-44-40000400-4000−2i22i2−2i22i20000000000002i2−2i2000000000-22000000000
χ504-44-40000400-4000−2i22i2−2i22i2000000000000−2i22i20000000002-2000000000
χ518-88-80000-800800000000000000000000000000000000000000000
χ528-8-88000000000004-4-440000000000000000000000000000000000
χ538-8-8800000000000-444-40000000000000000000000000000000000

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