Finite Group Databasebeta

← Group #293549

Character table — Group #293549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444222244444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-11111-1-111-1-1111111111-1-1-1-11-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ91111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-111-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-1-111-111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1-11-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-111-1-1111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-22222-2-222002-2-2-200-2-2000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2002-2220022000000000000000000000000
χ1922222222222-2-2-2-22-2-2222222-2-2-2-200-222200-2-2000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-22200-22-2-20022000000000000000000000000
χ2122222222-2-2-22222-222220000-2-20022-2-200220000000000-20000-20000000000
χ2222222222-2-2-22222-222220000-2-200-2-2-2-200-2-200000000002000020000000000
χ2322222222-2-2-22222-2-2-2-2-20000-2-200222200-2-20000000000-2000020000000000
χ2422222222-2-2-22222-2-2-2-2-20000-2-200-2-2220022000000000020000-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-20000220000-220000000000000002-22-200000000000
χ2622222222-2-2-2-2-2-2-2-222-2-20000220000-22000000000000000-22-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002200002-20000000000000002-2-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002200002-2000000000000000-222-200000000000
χ292-2-222-2-2222-22-22-2-200002i2i−2i−2i2-200000000002i−2i00002i2i−2i−2i000000002-2000000
χ302-2-222-2-2222-22-22-2-200002i2i−2i−2i2-200000000002i−2i0000−2i−2i2i2i00000000-22000000
χ312-2-222-2-2222-22-22-2-20000−2i−2i2i2i2-20000000000−2i2i00002i2i−2i−2i00000000-22000000
χ322-2-222-2-2222-22-22-2-20000−2i−2i2i2i2-20000000000−2i2i0000−2i−2i2i2i000000002-2000000
χ332-2-222-2-2222-2-22-22-200002i2i−2i−2i-220000000000−2i2i2i2i−2i−2i00000000002-200000000
χ342-2-222-2-2222-2-22-22-200002i2i−2i−2i-220000000000−2i2i−2i−2i2i2i0000000000-2200000000
χ352-2-222-2-2222-2-22-22-20000−2i−2i2i2i-2200000000002i−2i2i2i−2i−2i0000000000-2200000000
χ362-2-222-2-2222-2-22-22-20000−2i−2i2i2i-2200000000002i−2i−2i−2i2i2i00000000002-200000000
χ372-2-2-2222-200022-2-202-22-2000000002-200002-200i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i200
χ382-2-2-2222-200022-2-202-22-2000000002-200002-200−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i200
χ392-2-2-2222-200022-2-202-22-200000000-220000-2200i2−i2i2−i2i2−i2i2−i20000000000−i2i2−i2i200
χ402-2-2-2222-200022-2-202-22-200000000-220000-2200−i2i2−i2i2−i2i2−i2i20000000000i2−i2i2−i200
χ412-2-2-2222-200022-2-20-22-22000000002-20000-2200i2−i2i2−i2−i2i2−i2i20000000000i2−i2−i2i200
χ422-2-2-2222-200022-2-20-22-22000000002-20000-2200−i2i2−i2i2i2−i2i2−i20000000000−i2i2i2−i200
χ432-2-2-2222-200022-2-20-22-2200000000-2200002-200i2−i2i2−i2−i2i2−i2i20000000000−i2i2i2−i200
χ442-2-2-2222-200022-2-20-22-2200000000-2200002-200−i2i2−i2i2i2−i2i2−i20000000000i2−i2−i2i200
χ45444-44-4-4-40004-4-4400000000000000000000000000022−22−22220000000000000000
χ46444-44-4-4-40004-4-44000000000000000000000000000−222222−220000000000000000
χ47444-44-4-4-4000-444-40000000000000000000000022−22−222200000000000000000000
χ48444-44-4-4-4000-444-400000000000000000000000−222222−2200000000000000000000
χ4944-44-44-4-44-440000-400004-44-400000000000000000000000000000000000000
χ5044-44-44-4-44-440000-40000-44-4400000000000000000000000000000000000000
χ5144-44-44-4-4-44-40000400000000000000004i−4i0000000000000000000000000000
χ5244-44-44-4-4-44-4000040000000000000000−4i4i0000000000000000000000000000
χ534-444-4-44-44-4-40000400004i−4i−4i4i00000000000000000000000000000000000000
χ544-444-4-44-44-4-4000040000−4i4i4i−4i00000000000000000000000000000000000000
χ554-444-4-44-4-4440000-400000000004-40000000000000000000000000000000000
χ564-444-4-44-4-4440000-40000000000-440000000000000000000000000000000000
χ574-4-444-4-44-4-444-44-4400000000-44000000000000000000000000000000000000
χ584-4-444-4-44-4-44-44-444000000004-4000000000000000000000000000000000000
χ594-4-4-4444-4000-4-44404-4-44000000000000000000000000000000000000000000
χ604-4-4-4444-4000-4-4440-444-4000000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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