Finite Group Databasebeta

← Group #281249

Character table — Group #281249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1111-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-11-1-1-11-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-111111-1-1-11-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-111-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-111-1-11111-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-111111-1-1-1-11-1
χ172222222222-2-22-2-22-20000-22222220022-2-2000000000000-2000-200000000000
χ182222222222-2-22-2-22-20000-22222-2-200-2-2-2-20000000000002000200000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-22200-2-2220000000000002000-200000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-2-2-2002222000000000000-2000200000000000
χ2122222222-2-222-222-2-22222-2000000-2-2000022-2-20000000002000-20000000000
χ2222222222-2-222-222-2-22222-2000000-2-20000-2-222000000000-200020000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000022000022-2-2000000000-200020000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000220000-2-2220000000002000-20000000000
χ252-222-2-22-22-2-2-2222-2-22i2i−2i−2i20000002i−2i00000000000022-2-20000000000002i−2i00
χ262-222-2-22-22-2-2-2222-2-22i2i−2i−2i20000002i−2i000000000000-2-222000000000000−2i2i00
χ272-222-2-22-22-2-2-2222-2-2−2i−2i2i2i2000000−2i2i00000000000022-2-2000000000000−2i2i00
χ282-222-2-22-22-2-2-2222-2-2−2i−2i2i2i2000000−2i2i000000000000-2-2220000000000002i−2i00
χ292-222-2-22-2-2222-2-2-22-20000222-2-20000002-2000000000000002i−2i002i−2i00000000
χ302-222-2-22-2-2222-2-2-22-20000222-2-20000002-200000000000000−2i2i00−2i2i00000000
χ312-222-2-22-2-2222-2-2-22-200002-2-222000000-22000000000000002i−2i00−2i2i00000000
χ322-222-2-22-2-2222-2-2-22-200002-2-222000000-2200000000000000−2i2i002i−2i00000000
χ332-222-2-22-2-22-2-2-222222i2i−2i−2i-222-2-200−2i2i00-2200002i2i−2i−2i00000000000000000000
χ342-222-2-22-2-22-2-2-222222i2i−2i−2i-2-2-22200−2i2i002-20000−2i−2i2i2i00000000000000000000
χ352-222-2-22-2-22-2-2-22222−2i−2i2i2i-222-2-2002i−2i00-220000−2i−2i2i2i00000000000000000000
χ362-222-2-22-2-22-2-2-22222−2i−2i2i2i-2-2-222002i−2i002-200002i2i−2i−2i00000000000000000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-44-4-4-44-400-40040000000000000000000000000000000000000022−22000000
χ39444-44-4-4-44-400-400400000000000000000000000000000000000000−2222000000
χ40444-44-4-4-4-4400400-400000000004-40000000000000000000000000000000000
χ41444-44-4-4-4-4400400-40000000000-440000000000000000000000000000000000
χ4244-44-4-4-44000000000000002i2−2i22i2−2i20000000022−220000002i−2i2i−2i0000000000000000
χ4344-44-4-4-44000000000000002i2−2i22i2−2i200000000−2222000000−2i2i−2i2i0000000000000000
χ4444-44-4-4-4400000000000000−2i22i2−2i22i20000000022−22000000−2i2i−2i2i0000000000000000
χ4544-44-4-4-4400000000000000−2i22i2−2i22i200000000−22220000002i−2i2i−2i0000000000000000
χ4644-4-4-444-4004-404-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4744-4-4-444-4004-404-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ4844-4-4-444-400-440-44004i−4i4i−4i00000000000000000000000000000000000000000
χ4944-4-4-444-400-440-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ504-444-4-44-44-4444-4-4-440000-40000000000000000000000000000000000000000
χ514-44-4-44-444400-400-4000000000000004i−4i000000000000000000000000000000
χ524-44-4-44-444400-400-400000000000000−4i4i000000000000000000000000000000
χ534-44-4-44-44-4-4004004000000000000000000000000000000000000000022−220000
χ544-44-4-44-44-4-40040040000000000000000000000000000000000000000−22220000
χ554-4-4444-4-4000000000000002i2−2i2−2i22i2000000000022−2200002i−2i−2i2i0000000000000000
χ564-4-4444-4-4000000000000002i2−2i2−2i22i20000000000−22220000−2i2i2i−2i0000000000000000
χ574-4-4444-4-400000000000000−2i22i22i2−2i2000000000022−220000−2i2i2i−2i0000000000000000
χ584-4-4444-4-400000000000000−2i22i22i2−2i20000000000−222200002i−2i−2i2i0000000000000000
χ594-4-4-44-444004-40-44004-4-4400000000000000000000000000000000000000000
χ604-4-4-44-444004-40-4400-444-400000000000000000000000000000000000000000
χ614-4-4-44-44400-4404-40000000000000000000000022−22−222200000000000000000000
χ624-4-4-44-44400-4404-400000000000000000000000−222222−2200000000000000000000

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