Finite Group Databasebeta

← Group #281097

Character table — Group #281097

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1111-1
χ91111111111111111-1-1-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-111-1-111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-111111-1-111-1-1-1-1-11
χ172222222222-2-22-2-220000-2-2222200222200000000-2-20000-2-200000000000000
χ182222222222-2-22-2-220000-2-2222200-2-2-2-200000000-2-200002200000000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-20022-2-200000000220000-2200000000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-200-2-222000000002200002-200000000000000
χ2122222222-2-222-222-22222-2-20000-2-2000022-2-20000000000002-2000000000000
χ2222222222-2-222-222-22222-2-20000-2-20000-2-222000000000000-22000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2000022000022-2-2000000000000-22000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000220000-2-2220000000000002-2000000000000
χ2522-2-22-22-22-2-2-2222-22i2i−2i−2i-2200002i−2i0000000000000022-2-20000000000002i−2i00
χ2622-2-22-22-22-2-2-2222-22i2i−2i−2i-2200002i−2i00000000000000-2-222000000000000−2i2i00
χ2722-2-22-22-22-2-2-2222-2−2i−2i2i2i-220000−2i2i0000000000000022-2-2000000000000−2i2i00
χ2822-2-22-22-22-2-2-2222-2−2i−2i2i2i-220000−2i2i00000000000000-2-2220000000000002i−2i00
χ2922-2-22-22-2-2222-2-2-220000-2222-2-2000000000000002-2000000002i−2i2i−2i00000000
χ3022-2-22-22-2-2222-2-2-220000-2222-2-2000000000000002-200000000−2i2i−2i2i00000000
χ3122-2-22-22-2-2222-2-2-220000-22-2-22200000000000000-22000000002i−2i−2i2i00000000
χ3222-2-22-22-2-2222-2-2-220000-22-2-22200000000000000-2200000000−2i2i2i−2i00000000
χ3322-2-22-22-2-22-2-2-22222i2i−2i−2i2-222-2-2−2i2i000000002i2i−2i−2i-2200000000000000000000
χ3422-2-22-22-2-22-2-2-22222i2i−2i−2i2-2-2-222−2i2i00000000−2i−2i2i2i2-200000000000000000000
χ3522-2-22-22-2-22-2-2-2222−2i−2i2i2i2-222-2-22i−2i00000000−2i−2i2i2i-2200000000000000000000
χ3622-2-22-22-2-22-2-2-2222−2i−2i2i2i2-2-2-2222i−2i000000002i2i−2i−2i2-200000000000000000000
χ3722-2-2-22-222200-200-20000002-22-2002i−2i2i−2i2−22−20000002−22−200000000i2−i2i2−i20000
χ3822-2-2-22-222200-200-20000002-22-2002i−2i2i−2i−22−22000000−22−2200000000−i2i2−i2i20000
χ3922-2-2-22-222200-200-20000002-22-200−2i2i−2i2i2−22−20000002−22−200000000−i2i2−i2i20000
χ4022-2-2-22-222200-200-20000002-22-200−2i2i−2i2i−22−22000000−22−2200000000i2−i2i2−i20000
χ4122-2-2-22-222200-200-2000000-22-22002i−2i−2i2i2−22−2000000−22−2200000000i2−i2−i2i20000
χ4222-2-2-22-222200-200-2000000-22-22002i−2i−2i2i−22−220000002−22−200000000−i2i2i2−i20000
χ4322-2-2-22-222200-200-2000000-22-2200−2i2i2i−2i2−22−2000000−22−2200000000−i2i2i2−i20000
χ4422-2-2-22-222200-200-2000000-22-2200−2i2i2i−2i−22−220000002−22−200000000i2−i2−i2i20000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ464444-4-4-4-44-400-40040000000000000000000000000022−22−22220000000000000000
χ474444-4-4-4-44-400-400400000000000000000000000000−222222−220000000000000000
χ484444-4-4-4-4-4400400-40000004-4-44000000000000000000000000000000000000
χ494444-4-4-4-4-4400400-4000000-444-4000000000000000000000000000000000000
χ5044-4-44-44-44-4444-4-4-400004-40000000000000000000000000000000000000000
χ5144-4-4-44-44-4-4004004000000000000000022−22−222200000000000000000000000000
χ5244-4-4-44-44-4-40040040000000000000000−222222−2200000000000000000000000000
χ534-44-4-444-4004-404-40000000000000000000002i2−2i22i2−2i20000000000000000000000
χ544-44-4-444-4004-404-4000000000000000000000−2i22i2−2i22i20000000000000000000000
χ554-44-4-444-400-440-4404i−4i4i−4i000000000000000000000000000000000000000000
χ564-44-4-444-400-440-440−4i4i−4i4i000000000000000000000000000000000000000000
χ574-4-44-4-444004-40-4404-4-44000000000000000000000000000000000000000000
χ584-4-44-4-444004-40-440-444-4000000000000000000000000000000000000000000
χ594-4-44-4-44400-4404-400000000000000000000022−22−22220000000000000000000000
χ604-4-44-4-44400-4404-4000000000000000000000−222222−220000000000000000000000
χ618-88-88-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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