Finite Group Databasebeta

← Group #265253

Character table — Group #265253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222222224444444444888888882444444444888888888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111-1111-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-1-111111-1-1
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-111-11-11-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-1-11-11-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-11-1-111-1-11-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-111-1-111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11111-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-11-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-11111-11-1-11
χ172222222222-2-2-2-2-2-2222200000000-2-222-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-2-2-2222200000000-2-2-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ21222222-2-2-2-22222-2-222-2-22222-2-2-2-22-200000000220000-2-20000000000000000
χ22222222-2-2-2-22222-2-222-2-2-2-2-2-222222-200000000-2-20000220000000000000000
χ23222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2200000000-2-20000220000000000000000
χ24222222-2-2-2-22222-2-2-2-222-2-2-2-22222-2200000000220000-2-20000000000000000
χ25222222-2-2-2-2-2-2-2-22222-2-200000000-2200000000002i2i−2i−2i002i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-2-2-22222-2-200000000-220000000000−2i−2i2i2i00−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-2-2-222-2-222000000002-200000000002i2i−2i−2i00−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-2-2-222-2-222000000002-20000000000−2i−2i2i2i002i2i−2i−2i000000000000
χ292222-2-222-2-22-2-222-2000022-2-222-2-200000000000000000000000202-200-20000
χ302222-2-222-2-22-2-222-2000022-2-222-2-200000000000000000000000-20-220020000
χ312222-2-222-2-22-2-222-20000-2-222-2-2220000000000000000000000020-2200-20000
χ322222-2-222-2-22-2-222-20000-2-222-2-22200000000000000000000000-202-20020000
χ332222-2-2-2-2222-2-22-22000022-2-2-2-222000000000000000000000020-2002-200000
χ342222-2-2-2-2222-2-22-22000022-2-2-2-2220000000000000000000000-20200-2200000
χ352222-2-2-2-2222-2-22-220000-2-22222-2-2000000000000000000000020-200-2200000
χ362222-2-2-2-2222-2-22-220000-2-22222-2-20000000000000000000000-202002-200000
χ3722-2-22-22-22-20000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i200002i−2i002-22−2i2−i2i2−i22−22−22−2000000000000
χ3822-2-22-22-22-20000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i20000−2i2i00-222−2−i2i2−i2i22−2−22−22000000000000
χ3922-2-22-22-22-20000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i200002i−2i002-2−22−i2i2−i2i2−22−22−22000000000000
χ4022-2-22-22-22-20000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i20000−2i2i00-22−22i2−i2i2−i2−222−22−2000000000000
χ4122-2-22-22-22-2000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i200002i−2i00-22−22−i2i2−i2i2−222−22−2000000000000
χ4222-2-22-22-22-2000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000−2i2i002-2−22i2−i2i2−i2−22−22−22000000000000
χ4322-2-22-22-22-2000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200002i−2i00-222−2i2−i2i2−i22−2−22−22000000000000
χ4422-2-22-22-22-2000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i20000−2i2i002-22−2−i2i2−i2i22−22−22−2000000000000
χ4522-2-22-2-22-220000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i2002-2002i−2i002−22−2−22−22−i2i2i2−i2000000000000
χ4622-2-22-2-22-220000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i200-2200−2i2i002−2−222−2−22i2−i2−i2i2000000000000
χ4722-2-22-2-22-220000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i2002-2002i−2i00−22−222−22−2i2−i2−i2i2000000000000
χ4822-2-22-2-22-220000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i200-2200−2i2i00−222−2−222−2−i2i2i2−i2000000000000
χ4922-2-22-2-22-22000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2002-200−2i2i00−22−222−22−2−i2i2i2−i2000000000000
χ5022-2-22-2-22-22000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i200-22002i−2i00−222−2−222−2i2−i2−i2i2000000000000
χ5122-2-22-2-22-22000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2002-200−2i2i002−22−2−22−22i2−i2−i2i2000000000000
χ5222-2-22-2-22-22000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i200-22002i−2i002−2−222−2−22−i2i2i2−i2000000000000
χ534444-4-444-4-4-444-4-440000000000000000000000000000000000000000000000
χ544444-4-4-4-444-444-44-40000000000000000000000000000000000000000000000
χ5544-4-4-444-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ5644-4-4-444-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5744-4-4-44-444-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5844-4-4-44-444-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ598-88-800000008i−8i0000000000000000000000000000000000000000000000000
χ608-88-80000000−8i8i0000000000000000000000000000000000000000000000000
χ618-8-88000000800-8000000000000000000000000000000000000000000000000
χ628-8-88000000-8008000000000000000000000000000000000000000000000000

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