Finite Group Databasebeta

← Group #311237

Character table — Group #311237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-111-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11111-1-11-1
χ91111111111111111-1-1-1-111111111-1-1111111-1-1-1-1111111-11-1-1-1-11-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-11111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-111-1-1-11
χ172222222222-2-22-2-222222-2-2000000-2-20000220000-2-200002000000-200000000
χ182222222222-2-22-2-222222-2-2000000-2-20000-2-20000220000-2000000200000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000000220000220000-2-20000-2000000200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000000220000-2-200002200002000000-200000000
χ2122222222-2-222-222-20000-2-22222220022-2-20000000000000-20000-2000000000
χ2222222222-2-222-222-20000-2-22222-2-200-2-2-2-20000000000000200002000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-22200-2-2220000000000000-200002000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-2002222000000000000020000-2000000000
χ2522-2-222-2-22-2-2-2222-20000-222i2i−2i−2i0000002i−2i000000000000002-22i−2i0000000000
χ2622-2-222-2-22-2-2-2222-20000-222i2i−2i−2i0000002i−2i00000000000000-22−2i2i0000000000
χ2722-2-222-2-22-2-2-2222-20000-22−2i−2i2i2i000000−2i2i000000000000002-2−2i2i0000000000
χ2822-2-222-2-22-2-2-2222-20000-22−2i−2i2i2i000000−2i2i00000000000000-222i−2i0000000000
χ2922-2-222-2-2-2222-2-2-222i2i−2i−2i-220000002i−2i00000000000022-2-2000000002i−2i000000
χ3022-2-222-2-2-2222-2-2-222i2i−2i−2i-220000002i−2i000000000000-2-22200000000−2i2i000000
χ3122-2-222-2-2-2222-2-2-22−2i−2i2i2i-22000000−2i2i00000000000022-2-200000000−2i2i000000
χ3222-2-222-2-2-2222-2-2-22−2i−2i2i2i-22000000−2i2i000000000000-2-222000000002i−2i000000
χ3322-2-222-2-2-22-2-2-22222i2i−2i−2i2-22i2i−2i−2i00−2i2i00−2i2i0022-2-20000000000000000000000
χ3422-2-222-2-2-22-2-2-22222i2i−2i−2i2-2−2i−2i2i2i00−2i2i002i−2i00-2-2220000000000000000000000
χ3522-2-222-2-2-22-2-2-2222−2i−2i2i2i2-22i2i−2i−2i002i−2i00−2i2i00-2-2220000000000000000000000
χ3622-2-222-2-2-22-2-2-2222−2i−2i2i2i2-2−2i−2i2i2i002i−2i002i−2i0022-2-20000000000000000000000
χ372-22-22-22-2002-202-200000002-22-22i−2i002i−2i00i2−i20000i2−i2i2−i2i2−i200000000002−22−200
χ382-22-22-22-2002-202-200000002-22-22i−2i002i−2i00−i2i20000−i2i2−i2i2−i2i20000000000−22−2200
χ392-22-22-22-2002-202-200000002-22-2−2i2i00−2i2i00i2−i20000i2−i2i2−i2i2−i20000000000−22−2200
χ402-22-22-22-2002-202-200000002-22-2−2i2i00−2i2i00−i2i20000−i2i2−i2i2−i2i200000000002−22−200
χ412-22-22-22-2002-202-20000000-22-222i−2i00−2i2i00i2−i20000i2−i2−i2i2−i2i200000000002−2−2200
χ422-22-22-22-2002-202-20000000-22-222i−2i00−2i2i00−i2i20000−i2i2i2−i2i2−i20000000000−222−200
χ432-22-22-22-2002-202-20000000-22-22−2i2i002i−2i00i2−i20000i2−i2−i2i2−i2i20000000000−222−200
χ442-22-22-22-2002-202-20000000-22-22−2i2i002i−2i00−i2i20000−i2i2i2−i2i2−i200000000002−2−2200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ464444-4-4-4-44-400-40040000000000000000000022−2222−220000000000000000000000
χ474444-4-4-4-44-400-400400000000000000000000−2222−22220000000000000000000000
χ484444-4-4-4-4-4400400-44-44-4000000000000000000000000000000000000000000
χ494444-4-4-4-4-4400400-4-44-44000000000000000000000000000000000000000000
χ5044-4-444-4-44-4444-4-4-400004-40000000000000000000000000000000000000000
χ5144-4-4-4-4444400-400-44i−4i−4i4i000000000000000000000000000000000000000000
χ5244-4-4-4-4444400-400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ5344-4-4-4-444-4-40040040000000000000000000022−22−22220000000000000000000000
χ5444-4-4-4-444-4-400400400000000000000000000−222222−220000000000000000000000
χ554-44-44-44-400-440-4400000000000000000002i2−2i20000−2i22i200000000000000000000
χ564-44-44-44-400-440-440000000000000000000−2i22i200002i2−2i200000000000000000000
χ574-4-444-4-44004-40-440000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-4-444-4-44004-40-44000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-4-444-4-4400-4404-400000004i−4i−4i4i000000000000000000000000000000000000
χ604-4-444-4-4400-4404-40000000−4i4i4i−4i000000000000000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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