Finite Group Databasebeta

← Group #263232

Character table — Group #263232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244444444222244888888884444444444888888888888222244448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ911111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-11-11-1
χ1011111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11-11-11
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-11-11
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-111-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-111-1-11-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-111-11-1-11
χ1722222222-2-2-222-22222-2-200000000-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-2-222-22222-2-200000000-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-222-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ2022222222-2-2-222-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ21222222-2-2222-2-2222-2-2-2-22222-2-2-2-22-200000000000022-2-20000000000000000
χ22222222-2-2222-2-2222-2-2-2-2-2-2-2-222222-2000000000000-2-2220000000000000000
χ23222222-2-2222-2-22-2-222-2-22222-2-2-2-2-22000000000000-2-2220000000000000000
χ24222222-2-2222-2-22-2-222-2-2-2-2-2-22222-2200000000000022-2-20000000000000000
χ25222222-2-2-2-2-2-2-2-222-2-22200000000-22000000002i2i−2i−2i00002i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-2-2-222-2-22200000000-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-2-2-2-2-22222000000002-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-2-2-2-2-22222000000002-200000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222-2-22-22-2-22-2200002-222-2-222-2-2000000000000000000000002020-20-20000
χ302222-2-22-22-2-22-2200002-222-2-222-2-200000000000000000000000-20-202020000
χ312222-2-22-22-2-22-2200002-2-2-222-2-2220000000000000000000000020-20-2020000
χ322222-2-22-22-2-22-2200002-2-2-222-2-22200000000000000000000000-202020-20000
χ332222-2-2-222-2-2-2220000-2222-2-2-2-222000000000000000000000020-20-20200000
χ342222-2-2-222-2-2-2220000-2222-2-2-2-2220000000000000000000000-202020-200000
χ352222-2-2-222-2-2-2220000-22-2-22222-2-200000000000000000000002020-20-200000
χ362222-2-2-222-2-2-2220000-22-2-22222-2-20000000000000000000000-20-2020200000
χ372-2-222-222000-2-202-22-2002−22−22−22−2002i−2i002i−2i00i2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ382-2-222-222000-2-202-22-2002−22−22−22−200−2i2i00−2i2i00−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ392-2-222-222000-2-202-22-200−22−22−22−22002i−2i002i−2i00−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ402-2-222-222000-2-202-22-200−22−22−22−2200−2i2i00−2i2i00i2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ412-2-222-222000-2-20-22-22002−22−22−22−2002i−2i00−2i2i00−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ422-2-222-222000-2-20-22-22002−22−22−22−200−2i2i002i−2i00i2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ432-2-222-222000-2-20-22-2200−22−22−22−22002i−2i00−2i2i00i2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ442-2-222-222000-2-20-22-2200−22−22−22−2200−2i2i002i−2i00−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ452-2-222-2-2-20002202-2-22002−22−2−22−2200002-2002-22−2−222−2−222−2−22000000000000
χ462-2-222-2-2-20002202-2-22002−22−2−22−220000-2200-22−222−22−2−22−222−2000000000000
χ472-2-222-2-2-20002202-2-2200−22−222−22−200002-2002-2−222−2−222−2−222−2000000000000
χ482-2-222-2-2-20002202-2-2200−22−222−22−20000-2200-222−2−22−222−22−2−22000000000000
χ492-2-222-2-2-2000220-222-2002−22−2−22−2200002-200-22−222−2−222−22−2−22000000000000
χ502-2-222-2-2-2000220-222-2002−22−2−22−220000-22002-22−2−22−222−2−222−2000000000000
χ512-2-222-2-2-2000220-222-200−22−222−22−200002-200-222−2−222−2−22−222−2000000000000
χ522-2-222-2-2-2000220-222-200−22−222−22−20000-22002-2−222−22−2−222−2−22000000000000
χ534444-4-44-4-4444-4-40000-44000000000000000000000000000000000000000000
χ544444-4-4-44-444-44-400004-4000000000000000000000000000000000000000000
χ554-4-44-444-4000-44000000022−22−222222−22−22220000000000000000000000000000000000
χ564-4-44-444-4000-440000000−222222−22−222222−220000000000000000000000000000000000
χ574-4-44-44-440004-4000000022−22−2222−222222−220000000000000000000000000000000000
χ584-4-44-44-440004-40000000−222222−2222−22−22220000000000000000000000000000000000
χ5988-8-8000008i−8i000000000000000000000000000000000000000000000000000
χ6088-8-800000−8i8i000000000000000000000000000000000000000000000000000
χ618-88-8000080000-8000000000000000000000000000000000000000000000000
χ628-88-80000-800008000000000000000000000000000000000000000000000000

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