Finite Group Databasebeta

← Group #247685

Character table — Group #247685

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444244444444448888888822224444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ5111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1
χ6111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-11111
χ7111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111111111
χ91111111111111111-1-111-111-1-111-1-1111111-1-1-1-1-1-111-11-111-1-1-111-1-111-1-1
χ101111111111111111-1-111-111-1-111-1-111-1-1-1-11111-1-1-1-1-11-111-111-1-111-1-111
χ111111111111111111-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1111-1-11111-1-1
χ121111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-111-1-1-1-111
χ131111111111111111-1-111-1-1-1-1-11111111111-1-1-1-111-1-11-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-111-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1
χ151111111111111111-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-11111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111111111-1-111-1-1
χ172222222222-2-2-222-222-2-2-222-2200-2-2000000000000002-200000000000000
χ182222222222-2-2-222-222-2-2-2-2-2-22002200000000000000-2200000000000000
χ192222222222-2-2-222-2-2-2-2-22222-2002200000000000000-2-200000000000000
χ202222222222-2-2-222-2-2-2-2-22-2-22-200-2-2000000000000002200000000000000
χ2122222222-2-2222-2-2222-2-2-2002-22200-2-200000000000000200-20000000000
χ2222222222-2-2222-2-2222-2-2-2002-2-2-2002200000000000000-20020000000000
χ2322222222-2-2222-2-22-2-2-2-2200-222200-2-200000000000000-20020000000000
χ2422222222-2-2222-2-22-2-2-2-2200-22-2-2002200000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-22222200-2-2000000000000002-2000002-200000000000
χ2622222222-2-2-2-2-2-2-2-22222200-2-200000000000000-2200000-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-20022000000000000002-200000-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2002200000000000000-22000002-200000000000
χ292-2-2-222-222-22-2-22-22002-2000002-2002-20000000000000000002-20000002-2
χ302-2-2-222-222-22-2-22-22002-2000002-2002-2000000000000000000-22000000-22
χ312-2-2-222-222-22-2-22-22002-200000-2200-220000000000000000002-2000000-22
χ322-2-2-222-222-22-2-22-22002-200000-2200-22000000000000000000-220000002-2
χ332-2-2-222-22-222-2-2-22200-22000002-200-2200000000002-20000000000002-200
χ342-2-2-222-22-222-2-2-22200-22000002-200-220000000000-22000000000000-2200
χ352-2-2-222-22-222-2-2-22200-2200000-22002-200000000002-2000000000000-2200
χ362-2-2-222-22-222-2-2-22200-2200000-22002-20000000000-220000000000002-200
χ37444-4-44-4-40044-400-400000000000000000002222−22−2200000000000000000000
χ38444-4-44-4-40044-400-40000000000000000000−22−22222200000000000000000000
χ39444-4-44-4-400-4-440040000000000000002i22i2−2i2−2i2000000000000000000000000
χ40444-4-44-4-400-4-44004000000000000000−2i2−2i22i22i2000000000000000000000000
χ4144-444-4-4-444000-4-40000000000000000000022−2222−2200000000000000000000
χ4244-444-4-4-444000-4-400000000000000000000−2222−222200000000000000000000
χ4344-444-4-4-4-4-40004400000000000000002i2−2i22i2−2i2000000000000000000000000
χ4444-444-4-4-4-4-4000440000000000000000−2i22i2−2i22i2000000000000000000000000
χ4544-4-4-4-444000000004-400000000000002-2-222-2-2200000000000000000000
χ4644-4-4-4-444000000004-40000000000000-222-2-222-200000000000000000000
χ4744-4-4-4-44400000000-4400000000000002-2-22-222-200000000000000000000
χ4844-4-4-4-44400000000-440000000000000-222-22-2-2200000000000000000000
χ494-44-44-44-44-4000-440000004i−4i000000000000000000000000000000000000
χ504-44-44-44-44-4000-44000000−4i4i000000000000000000000000000000000000
χ514-44-44-44-4-440004-40000000000004i−4i000000000000000000000000000000
χ524-44-44-44-4-440004-4000000000000−4i4i000000000000000000000000000000
χ534-4-44-444-4004-4400-400000000000000000000000000000000000002i2−2i20000
χ544-4-44-444-4004-4400-40000000000000000000000000000000000000−2i22i20000
χ554-4-44-444-400-44-40040000000000000000000000000000000000022−22000000
χ564-4-44-444-400-44-400400000000000000000000000000000000000−2222000000
χ574-4-4-444-444-4-4444-4-400-44000000000000000000000000000000000000000
χ584-4-4-444-44-44-444-44-4004-4000000000000000000000000000000000000000
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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