Finite Group Databasebeta

← Group #267378

Character table — Group #267378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444448888888888888888888881616161616161616161616161616161632
order12222222224422444444444444444488888888888822244444444444884
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-1111-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1
χ6111111111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-11
χ7111111111111111111-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11
χ8111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1111111-1
χ9111111111111-1-111-1-1111-1-111111-1-111-1-111-1-11111-11-111-11-11-111-1-1-1-1-1
χ10111111111111-1-111-1-1111-1-111111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-111-111-1-1111
χ11111111111111-1-111-1-1111-1-1111-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-11-1-11-1-111111
χ12111111111111-1-111-1-1111-1-1111-1-111-1-111-1-1111111-1-1111-1-11-11-1-111-1-1-1
χ13111111111111-1-111-1-1-1-11-1-1-1-1-111-1-111-1-111-1-111111-11-1-11-111-1-1-111-1-11
χ14111111111111-1-111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-11111-11-1-1-11111-1
χ15111111111111-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11111-11-1111-1-111-1
χ16111111111111-1-111-1-1-1-11-1-1-1-1-1-1-111-1-111-1-111111111-1-1-111-1-1111-1-1-1-11
χ172222222222-2-222-2-22200-2-2-2000222200000000000000000000-2-20000000
χ182222222222-2-222-2-22200-2-2-2000-2-2-2-200000000000000000000220000000
χ192222222222-2-2-2-2-2-2-2-200-22200022-2-200000000000000000000-220000000
χ202222222222-2-2-2-2-2-2-2-200-222000-2-222000000000000000000002-20000000
χ2122222-2-22-2-22222-2-2-2-22222-22-2-20000000000000000-20000200000000000
χ2222222-2-22-2-22222-2-2-2-2-2-222-2-222000000000000000020000-200000000000
χ2322222-2-22-2-222-2-2-2-222222-222-2-2000000000000000020000-200000000000
χ2422222-2-22-2-222-2-2-2-222-2-22-22-2220000000000000000-20000200000000000
χ2522222-2-22-2-2-2-22222-2-200-2-22000000000000000000000000000002i−2i2i−2i000
χ2622222-2-22-2-2-2-22222-2-200-2-2200000000000000000000000000000−2i2i−2i2i000
χ2722222-2-22-2-2-2-2-2-2222200-22-2000000000000000000000000000002i−2i−2i2i000
χ2822222-2-22-2-2-2-2-2-2222200-22-200000000000000000000000000000−2i2i2i−2i000
χ292222-22-2-22-222002-20022-200-22-200002200-2-2000000020000-20000000000
χ302222-22-2-22-222002-20022-200-22-20000-2-200220000000-2000020000000000
χ312222-22-2-22-222002-200-2-2-2002-2200002200-2-20000000-2000020000000000
χ322222-22-2-22-222002-200-2-2-2002-220000-2-20022000000020000-20000000000
χ332222-2-22-2-222200-220022-200-2-220000002200-2-200000020000-2000000000
χ342222-2-22-2-222200-220022-200-2-22000000-2-20022000000-200002000000000
χ352222-2-22-2-222200-2200-2-2-20022-20000002200-2-2000000-200002000000000
χ362222-2-22-2-222200-2200-2-2-20022-2000000-2-2002200000020000-2000000000
χ372-2-22222-2-2-2002-2002-2000000002i−2i2i−2i2−22−22−22−2i2i2−i2−i200000000000000i2−i20
χ382-2-22222-2-2-2002-2002-2000000002i−2i2i−2i−22−22−22−22−i2−i2i2i200000000000000−i2i20
χ392-2-22222-2-2-2002-2002-200000000−2i2i−2i2i2−22−22−22−2−i2−i2i2i200000000000000−i2i20
χ402-2-22222-2-2-2002-2002-200000000−2i2i−2i2i−22−22−22−22i2i2−i2−i200000000000000i2−i20
χ412-2-22222-2-2-200-2200-22000000002i−2i−2i2i2−2−222−2−22i2i2−i2−i200000000000000−i2i20
χ422-2-22222-2-2-200-2200-22000000002i−2i−2i2i−222−2−222−2−i2−i2i2i200000000000000i2−i20
χ432-2-22222-2-2-200-2200-2200000000−2i2i2i−2i2−2−222−2−22−i2−i2i2i200000000000000i2−i20
χ442-2-22222-2-2-200-2200-2200000000−2i2i2i−2i−222−2−222−2i2i2−i2−i200000000000000−i2i20
χ454444-44-4-44-4-4-400-440000400000000000000000000000000000000000000
χ464444-4-44-4-44-4-4004-40000400000000000000000000000000000000000000
χ4744-4-4000000-440000004i−4i0000000000000000002-22-20002i−2i000000000000
χ4844-4-4000000-440000004i−4i000000000000000000-22-22000−2i2i000000000000
χ4944-4-4000000-44000000−4i4i0000000000000000002-22-2000−2i2i000000000000
χ5044-4-4000000-44000000−4i4i000000000000000000-22-220002i−2i000000000000
χ514-4-444-4-4-444004-400-4400000000000000000000000000000000000000000
χ524-4-444-4-4-44400-44004-400000000000000000000000000000000000000000
χ534-4-44-44-44-440000000000000000000022−2200−222200000000000000000000000
χ544-4-44-44-44-4400000000000000000000−22220022−2200000000000000000000000
χ554-4-44-4-4444-4000000000000000000000022−2200−2222000000000000000000000
χ564-4-44-4-4444-40000000000000000000000−22220022−22000000000000000000000
χ5788-8-80000008-800000000000000000000000000000000000000000000000
χ588-88-800000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ598-88-80000000000000000000000000000000000−2i22i22i2−2i200000000000000000

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