Finite Group Databasebeta

← Group #339727

Character table — Group #339727

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888888888881616161616161616161632323232
order12222244444444444448888888888888888888824448888882488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1-1-1-111-1
χ411111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-11-1-11
χ51111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-11
χ61111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-11-1-11-11-1
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ9111111111111111-1-1-1-111-1-111-1-1111111-1-1111111-1-11-111-1-1-1-1-11
χ10111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1111-1-1-1-1-1111-1
χ11111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-111-1111-1-1-1
χ12111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1111
χ13111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-1111-111
χ14111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-1111-11-1-1
χ15111111111111111-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1111-1-1-1-11-1
χ16111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-11-1-1-1-111-11
χ17222222-22222-2-2-2-222-2-2000022220000000000000000-2-200000000
χ18222222-22222-2-2-2-222-2-20000-2-2-2-200000000000000002200000000
χ19222222-22222-2-2-2-2-2-222000022-2-20000000000000000-2200000000
χ20222222-22222-2-2-2-2-2-2220000-2-22200000000000000002-200000000
χ212222-2-2222-2-222-2-2000000220000002200-2-20000002-2000-2000000
χ222222-2-2222-2-222-2-200000022000000-2-200-2-2000000-220002000000
χ232222-2-2222-2-222-2-2000000-2-2000000220022000000-22000-2000000
χ242222-2-2222-2-222-2-2000000-2-2000000-2-200220000002-20002000000
χ252222-2-22-2-2222-22-20000220000002200-2-2000000-220000-20000000
χ262222-2-22-2-2222-22-2000022000000-2-200-2-20000002-2000020000000
χ272222-2-22-2-2222-22-20000-2-20000002200220000002-20000-20000000
χ282222-2-22-2-2222-22-20000-2-2000000-2-20022000000-22000020000000
χ2922-2-22-202-22-200002-200i2−i2i2−i22-22-20000i2−i2i2−i2i2i2−i2−i200000000i2−i20000
χ3022-2-22-202-22-200002-200i2−i2i2−i2-22-220000i2−i2i2−i2−i2−i2i2i200000000−i2i20000
χ3122-2-22-202-22-200002-200−i2i2−i2i22-22-20000−i2i2−i2i2−i2−i2i2i200000000−i2i20000
χ3222-2-22-202-22-200002-200−i2i2−i2i2-22-220000−i2i2−i2i2i2i2−i2−i200000000i2−i20000
χ3322-2-22-202-22-20000-2200i2−i2−i2i22-2-220000i2−i2−i2i2i2i2−i2−i200000000−i2i20000
χ3422-2-22-202-22-20000-2200i2−i2−i2i2-222-20000i2−i2−i2i2−i2−i2i2i200000000i2−i20000
χ3522-2-22-202-22-20000-2200−i2i2i2−i22-2-220000−i2i2i2−i2−i2−i2i2i200000000i2−i20000
χ3622-2-22-202-22-20000-2200−i2i2i2−i2-222-20000−i2i2i2−i2i2i2−i2−i200000000−i2i20000
χ374444444-4-4-4-44-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000
χ394444-4-4-444-4-4-4-44400000000000000000000000000000000000000
χ404444-4-4-4-4-444-44-4400000000000000000000000000000000000000
χ4144-4-44-40-44-440000004i−4i0000000000000000000000000000000000
χ4244-4-44-40-44-44000000−4i4i0000000000000000000000000000000000
χ4344-4-4-4404-4-4400000000002i2−2i20000000000−2i22i2000000000000000000
χ4444-4-4-4404-4-440000000000−2i22i200000000002i2−2i2000000000000000000
χ4544-4-4-440-444-4000000002i2−2i20000000000−2i22i200000000000000000000
χ4644-4-4-440-444-400000000−2i22i200000000002i2−2i200000000000000000000
χ474-4-440040000-40000000000000002i2−2i22i2−2i200002-22-200000000000000
χ484-4-440040000-40000000000000002i2−2i2−2i22i20000-22-2200000000000000
χ494-4-440040000-4000000000000000−2i22i22i2−2i20000-22-2200000000000000
χ504-4-440040000-4000000000000000−2i22i2−2i22i200002-22-200000000000000
χ518-88-800000000000000000000000000000002i2−2i2−2i22i200000000000000
χ528-88-80000000000000000000000000000000−2i22i22i2−2i200000000000000
χ538-8-8800-80000800000000000000000000000000000000000000000

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