Finite Group Databasebeta

← Group #349130

Character table — Group #349130

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444448888888888222244444488888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-111111111-1-111-1-1111-11-1
χ9111111111111-1-11-1-111111111-1-1-1-111-1-1-111-1-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-11-1-111111111-1-1-1-111-1-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11111111111111-1-11-1-111111111-1-1-1-1-1-111-1-1-111-11-1-1-1-1-1-111111111-1-1-1-1-1-111
χ12111111111111-1-11-1-111111111-1-1-1-1-1-111-1-1-111-11-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111-1-11-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-11-1-111-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-222222-222-2-222-2-2-2-2-2-2-2-20000-20000-222200000000000000000000
χ182222222-2-222222-222-2-2-2-2222222220000-20000-2-2-2-200000000000000000000
χ192222222-2-2222-2-2-2-2-2-2-222-2-2-2-2222200002000022-2-200000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2-2-22222-2-2-2-20000200002-22200000000000000000000
χ21222222-222-2-2-200200-2-20000002i2i−2i−2i22000-2-200002i−2i00002i2i−2i−2i000000000000
χ22222222-222-2-2-200200-2-20000002i2i−2i−2i-2-20002200002i−2i0000−2i−2i2i2i000000000000
χ23222222-222-2-2-200200-2-2000000−2i−2i2i2i22000-2-20000−2i2i0000−2i−2i2i2i000000000000
χ24222222-222-2-2-200200-2-2000000−2i−2i2i2i-2-2000220000−2i2i00002i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-200-200220000002i2i−2i−2i002-20002-200−2i2i2i2i−2i−2i0000000000000000
χ26222222-2-2-2-2-2-200-200220000002i2i−2i−2i00-22000-2200−2i2i−2i−2i2i2i0000000000000000
χ27222222-2-2-2-2-2-200-20022000000−2i−2i2i2i002-20002-2002i−2i−2i−2i2i2i0000000000000000
χ28222222-2-2-2-2-2-200-20022000000−2i−2i2i2i00-22000-22002i−2i2i2i−2i−2i0000000000000000
χ292222-2-2222-22-222-2-2-2-2200000000002-22222-2-2-2-200000000000000000000000
χ302222-2-2222-22-222-2-2-2-220000000000-22-2-22-2222-200000000000000000000000
χ312222-2-2222-22-2-2-2-222-2200000000002-2-2-2-22-222200000000000000000000000
χ322222-2-2222-22-2-2-2-222-220000000000-2222-2-22-2-2200000000000000000000000
χ332222-2-22-2-2-22-2222-2-22-200000000000000-2000020002i−2i2i−2i2i−2i2i−2i000000000000
χ342222-2-22-2-2-22-2222-2-22-200000000000000-200002000−2i2i−2i2i−2i2i−2i2i000000000000
χ352222-2-22-2-2-22-2-2-22222-20000000000000020000-20002i−2i2i−2i−2i2i−2i2i000000000000
χ362222-2-22-2-2-22-2-2-22222-20000000000000020000-2000−2i2i−2i2i2i−2i2i−2i000000000000
χ372222-2-2-2222-2200-2002-22222-2-200002-2000-22000-2002-2-220000000000000000
χ382222-2-2-2222-2200-2002-22222-2-20000-220002-2000-200-222-20000000000000000
χ392222-2-2-2222-2200-2002-2-2-2-2-22200002-2000-22000200-222-20000000000000000
χ402222-2-2-2222-2200-2002-2-2-2-2-2220000-220002-20002002-2-220000000000000000
χ412222-2-2-2-2-22-2200200-2222-2-2220000002-2000-220-2000000-222-2000000000000
χ422222-2-2-2-2-22-2200200-2222-2-222000000-220002-20-20000002-2-22000000000000
χ432222-2-2-2-2-22-2200200-22-2-222-2-20000002-2000-22020000002-2-22000000000000
χ442222-2-2-2-2-22-2200200-22-2-222-2-2000000-220002-202000000-222-2000000000000
χ452-22-22-2200-2-222-202-200002-22-22-22-2000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ462-22-22-2200-2-222-202-200002-22-22-22-2000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ472-22-22-2200-2-222-202-20000-22-22-22-22000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ482-22-22-2200-2-222-202-20000-22-22-22-22000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ492-22-22-2200-2-22-220-2200002-22-2-22-22000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ502-22-22-2200-2-22-220-2200002-22-2-22-22000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ512-22-22-2200-2-22-220-220000-22-222-22-2000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ522-22-22-2200-2-22-220-220000-22-222-22-2000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ534-44-44-4-40044-400000000000004i−4i−4i4i000000000000000000000000000000000
χ544-44-44-4-40044-40000000000000−4i4i4i−4i000000000000000000000000000000000
χ554-44-4-444004-4-44-40-44000000000000000000000000000000000000000000000
χ564-44-4-444004-4-4-4404-4000000000000000000000000000000000000000000000
χ574-44-4-44-400-4440000000004-4-440000000000000000000000000000000000000
χ584-44-4-44-400-444000000000-444-40000000000000000000000000000000000000
χ5988-8-80008-800000000000000000000000000000000000000000000000000000
χ6088-8-8000-8800000000000000000000000000000000000000000000000000000
χ618-8-8800000000000000042−4200000000000000000000000000000000000000000
χ628-8-88000000000000000−424200000000000000000000000000000000000000000

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