Finite Group Databasebeta

← Group #263221

Character table — Group #263221

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244444444444444888888882222444444888888888888224444448888
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
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1111-1-1
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-11-11-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1111-11-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-1-11-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-11-111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-11-11-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-111-11-11-1-11
χ1722222222-2-2-2-222-2-2222200000000-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-2222200000000-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-222-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-222-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ21222222-2-22222-2-2-2-222-2-22222-2-2-2-22-200000000000022-2-20000000000000000
χ22222222-2-22222-2-2-2-222-2-2-2-2-2-222222-2000000000000-2-2220000000000000000
χ23222222-2-22222-2-2-2-2-2-2222222-2-2-2-2-22000000000000-2-2220000000000000000
χ24222222-2-22222-2-2-2-2-2-222-2-2-2-22222-2200000000000022-2-20000000000000000
χ25222222-2-2-2-2-2-2-2-22222-2-200000000-22000000002i2i−2i−2i00002i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-2-2-22222-2-200000000-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-2-2-222-2-222000000002-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-2-2-222-2-222000000002-200000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222-2-22-2-2-2222-22-2000022-2-222-2-20000000000000000000000000202-2-20000
χ302222-2-22-2-2-2222-22-2000022-2-222-2-20000000000000000000000000-20-2220000
χ312222-2-22-2-2-2222-22-20000-2-222-2-222000000000000000000000000020-2-220000
χ322222-2-22-2-2-2222-22-20000-2-222-2-2220000000000000000000000000-2022-20000
χ332222-2-2-22-2-222-22-22000022-2-2-2-222000000000000000000000022-20-20000000
χ342222-2-2-22-2-222-22-22000022-2-2-2-2220000000000000000000000-2-22020000000
χ352222-2-2-22-2-222-22-220000-2-22222-2-200000000000000000000002-2-2020000000
χ362222-2-2-22-2-222-22-220000-2-22222-2-20000000000000000000000-2220-20000000
χ3722-2-22-22-20000-22002i−2i2i−2i2−22−22−22−2002-2002i−2i00i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ3822-2-22-22-20000-22002i−2i2i−2i2−22−22−22−200-2200−2i2i00−i2i2−i2i2i2−i2i2−i2−22−22000000000000
χ3922-2-22-22-20000-22002i−2i2i−2i−22−22−22−22002-2002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ4022-2-22-22-20000-22002i−2i2i−2i−22−22−22−2200-2200−2i2i00i2−i2i2−i2−i2i2−i2i22−22−2000000000000
χ4122-2-22-22-20000-2200−2i2i−2i2i2−22−22−22−2002-200−2i2i00−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ4222-2-22-22-20000-2200−2i2i−2i2i2−22−22−22−200-22002i−2i00i2−i2i2−i2−i2i2−i2i2−22−22000000000000
χ4322-2-22-22-20000-2200−2i2i−2i2i−22−22−22−22002-200−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ4422-2-22-22-20000-2200−2i2i−2i2i−22−22−22−2200-22002i−2i00−i2i2−i2i2i2−i2i2−i22−22−2000000000000
χ4522-2-22-2-2200002-2002i−2i−2i2i2−22−2−22−2200002i−2i002-22−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ4622-2-22-2-2200002-2002i−2i−2i2i2−22−2−22−220000−2i2i00-22−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ4722-2-22-2-2200002-2002i−2i−2i2i−22−222−22−200002i−2i002-2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ4822-2-22-2-2200002-2002i−2i−2i2i−22−222−22−20000−2i2i00-222−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ4922-2-22-2-2200002-200−2i2i2i−2i2−22−2−22−2200002i−2i00-22−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ5022-2-22-2-2200002-200−2i2i2i−2i2−22−2−22−220000−2i2i002-22−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ5122-2-22-2-2200002-200−2i2i2i−2i−22−222−22−200002i−2i00-222−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ5222-2-22-2-2200002-200−2i2i2i−2i−22−222−22−20000−2i2i002-2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ534444-4-44-444-4-44-4-440000000000000000000000000000000000000000000000
χ544444-4-4-4444-4-4-444-40000000000000000000000000000000000000000000000
χ5544-4-4-44440000-4-400000022−22−222222−22−22220000000000000000000000000000000000
χ5644-4-4-44440000-4-4000000−222222−22−222222−220000000000000000000000000000000000
χ5744-4-4-44-4-400004400000022−22−2222−222222−220000000000000000000000000000000000
χ5844-4-4-44-4-4000044000000−222222−2222−22−22220000000000000000000000000000000000
χ598-88-800008i−8i0000000000000000000000000000000000000000000000000000
χ608-88-80000−8i8i0000000000000000000000000000000000000000000000000000
χ618-8-880000008-800000000000000000000000000000000000000000000000000
χ628-8-88000000-8800000000000000000000000000000000000000000000000000

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