Finite Group Databasebeta

← Group #281220

Character table — Group #281220

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-1111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-111-1-11-1
χ17222222222-22-2-222-20000-2-22222222200-2-2000000000000-2-200000000000000
χ18222222222-22-2-222-20000-2-22222-2-2-2-200-2-20000000000002200000000000000
χ19222222222-22-2-222-20000-2-2-2-2-2-222-2-20022000000000000-2200000000000000
χ20222222222-22-2-222-20000-2-2-2-2-2-2-2-22200220000000000002-200000000000000
χ2122222222-22-222-2-222222-2-200000000-2-20022-2-20000000000002-20000000000
χ2222222222-22-222-2-222222-2-200000000-2-200-2-222000000000000-220000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200000000220022-2-2000000000000-220000000000
χ2422222222-22-222-2-22-2-2-2-2-2-2000000002200-2-2220000000000002-20000000000
χ252-22-222-2-222-2-2-22-222i2i−2i−2i-22000000002i−2i000000000022-2-2000000002i−2i000000
χ262-22-222-2-222-2-2-22-222i2i−2i−2i-22000000002i−2i0000000000-2-22200000000−2i2i000000
χ272-22-222-2-222-2-2-22-22−2i−2i2i2i-2200000000−2i2i000000000022-2-200000000−2i2i000000
χ282-22-222-2-222-2-2-22-22−2i−2i2i2i-2200000000−2i2i0000000000-2-222000000002i−2i000000
χ292-22-222-2-2-222-2-2-2222i2i−2i−2i2-222-2-20000−2i2i2-200002i2i−2i−2i00000000000000000000
χ302-22-222-2-2-222-2-2-2222i2i−2i−2i2-2-2-2220000−2i2i-220000−2i−2i2i2i00000000000000000000
χ312-22-222-2-2-222-2-2-222−2i−2i2i2i2-222-2-200002i−2i2-20000−2i−2i2i2i00000000000000000000
χ322-22-222-2-2-222-2-2-222−2i−2i2i2i2-2-2-22200002i−2i-2200002i2i−2i−2i00000000000000000000
χ332-22-222-2-2-2-2222-22-20000-2222-2-2000000-22000000000000002i−2i002i−2i00000000
χ342-22-222-2-2-2-2222-22-20000-2222-2-2000000-2200000000000000−2i2i00−2i2i00000000
χ352-22-222-2-2-2-2222-22-20000-22-2-2220000002-2000000000000002i−2i00−2i2i00000000
χ362-22-222-2-2-2-2222-22-20000-22-2-2220000002-200000000000000−2i2i002i−2i00000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ38444-4-4-44-440400-4-4000000000000000000000000000000000000000000022−2200
χ39444-4-4-44-440400-4-40000000000000000000000000000000000000000000−222200
χ40444-4-4-44-4-40-4004400000000000004i−4i00000000000000000000000000000000
χ41444-4-4-44-4-40-400440000000000000−4i4i00000000000000000000000000000000
χ4244-444-4-4-40404-400-44-44-4000000000000000000000000000000000000000000
χ4344-444-4-4-40404-400-4-44-44000000000000000000000000000000000000000000
χ4444-444-4-4-40-40-4400400000000000000000000002i2−2i22i2−2i200000000000000000000
χ4544-444-4-4-40-40-440040000000000000000000000−2i22i2−2i22i200000000000000000000
χ4644-4-4-44-44000000000000002i2−2i22i2−2i2000000002i2−2i20000002-22-20000000000000000
χ4744-4-4-44-44000000000000002i2−2i22i2−2i200000000−2i22i2000000-22-220000000000000000
χ4844-4-4-44-4400000000000000−2i22i2−2i22i2000000002i2−2i2000000-22-220000000000000000
χ4944-4-4-44-4400000000000000−2i22i2−2i22i200000000−2i22i20000002-22-20000000000000000
χ504-444-4-4-4440-400-44000000000004i−4i0000000000000000000000000000000000
χ514-444-4-4-4440-400-4400000000000−4i4i0000000000000000000000000000000000
χ524-444-4-4-44-404004-4000000000000000000000000000000000000000002i2−2i20000
χ534-444-4-4-44-404004-400000000000000000000000000000000000000000−2i22i20000
χ544-44-444-4-44-4-4444-4-400004-40000000000000000000000000000000000000000
χ554-4-44-444-4000000000000002i2−2i2−2i22i200000000002i2−2i200002-2-220000000000000000
χ564-4-44-444-4000000000000002i2−2i2−2i22i20000000000−2i22i20000-222-20000000000000000
χ574-4-44-444-400000000000000−2i22i22i2−2i200000000002i2−2i20000-222-20000000000000000
χ584-4-44-444-400000000000000−2i22i22i2−2i20000000000−2i22i200002-2-220000000000000000
χ594-4-4-44-444040-4400-44i−4i−4i4i000000000000000000000000000000000000000000
χ604-4-4-44-444040-4400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ614-4-4-44-4440-404-4004000000000000000000000022−22−222200000000000000000000
χ624-4-4-44-4440-404-40040000000000000000000000−222222−2200000000000000000000

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