Finite Group Databasebeta

← Group #318639

Character table — Group #318639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444444488888888224444448888888888888888224488884444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111111111-1-1-1-111111-1-1111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-11111111111-111-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-11111-1-111
χ9111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-11-11
χ11111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-111-1-11-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-1-11-1-1111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-111-1
χ172222222222-2-22-2-22-2-2222200002200-2-200000000-2-200000000200-200000000
χ182222222222-2-22-2-22-2-222220000-2-2002200000000-2-200000000-200200000000
χ192222222222-2-22-2-22-2-2-2-2-2-200002200-2-2000000002200000000-200200000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000-2-20022000000002200000000200-200000000
χ2122222222-2-222-222-2-2-200002222002200-2-2-2-2000000000000000-22000000000
χ2222222222-2-222-222-2-2-20000222200-2-20022-2-20000000000000002-2000000000
χ2322222222-2-222-222-2-2-20000-2-2-2-2002200-2-2220000000000000002-2000000000
χ2422222222-2-222-222-2-2-20000-2-2-2-200-2-2002222000000000000000-22000000000
χ252-222-2-22-222-2-2-222-22-2000022-2-2000000002-20000002i2i−2i−2i00000000002i−2i0000
χ262-222-2-22-222-2-2-222-22-2000022-2-2000000002-2000000−2i−2i2i2i0000000000−2i2i0000
χ272-222-2-22-222-2-2-222-22-20000-2-22200000000-220000002i2i−2i−2i0000000000−2i2i0000
χ282-222-2-22-222-2-2-222-22-20000-2-22200000000-22000000−2i−2i2i2i00000000002i−2i0000
χ292-222-2-22-2-2-2222-2-222-222-2-2000000000000002i2i−2i−2i2-20000000000002i−2i000000
χ302-222-2-22-2-2-2222-2-222-222-2-200000000000000−2i−2i2i2i2-2000000000000−2i2i000000
χ312-222-2-22-2-2-2222-2-222-2-2-222000000000000002i2i−2i−2i-22000000000000−2i2i000000
χ322-222-2-22-2-2-2222-2-222-2-2-22200000000000000−2i−2i2i2i-220000000000002i−2i000000
χ332-222-2-22-2-2-2-2-22222-2222-2-222-2-200000000-220000-22000022-2-2000000000000
χ342-222-2-22-2-2-2-2-22222-2222-2-2-2-222000000002-20000-220000-2-222000000000000
χ352-222-2-22-2-2-2-2-22222-22-2-22222-2-200000000-2200002-20000-2-222000000000000
χ362-222-2-22-2-2-2-2-22222-22-2-222-2-222000000002-200002-2000022-2-2000000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-44-4-4-44-400400-400000000004-40000000000000000000000000000000000
χ39444-44-4-4-44-400400-40000000000-440000000000000000000000000000000000
χ40444-44-4-4-4-4400-4004000000000000000000002i2−2i22i2−2i20000000000000000000000
χ41444-44-4-4-4-4400-400400000000000000000000−2i22i2−2i22i20000000000000000000000
χ4244-44-4-4-44000000000022−2222−222i2−2i22i2−2i2000000000000000000002i−2i2i−2i000000000000
χ4344-44-4-4-44000000000022−2222−22−2i22i2−2i22i200000000000000000000−2i2i−2i2i000000000000
χ4444-44-4-4-440000000000−2222−22222i2−2i22i2−2i200000000000000000000−2i2i−2i2i000000000000
χ4544-44-4-4-440000000000−2222−2222−2i22i2−2i22i2000000000000000000002i−2i2i−2i000000000000
χ4644-4-4-444-4004-404-400000000000004i−4i00000000000000000000000000000000
χ4744-4-4-444-4004-404-40000000000000−4i4i00000000000000000000000000000000
χ4844-4-4-444-400-440-440000000000000000000000000002i2−2i22i2−2i20000000000000000
χ4944-4-4-444-400-440-44000000000000000000000000000−2i22i2−2i22i20000000000000000
χ504-444-4-44-44444-4-4-4-4-4400000000000000000000000000000000000000000000
χ514-44-4-44-444-400-40040000000000000000000022−22−22220000000000000000000000
χ524-44-4-44-444-400-400400000000000000000000−222222−220000000000000000000000
χ534-44-4-44-44-4400400-4000000000000004i−4i000000000000000000000000000000
χ544-44-4-44-44-4400400-400000000000000−4i4i000000000000000000000000000000
χ554-4-4444-4-4000000000022−22−22222i2−2i2−2i22i2000000000000000000002i−2i−2i2i000000000000
χ564-4-4444-4-4000000000022−22−2222−2i22i22i2−2i200000000000000000000−2i2i2i−2i000000000000
χ574-4-4444-4-40000000000−222222−222i2−2i2−2i22i200000000000000000000−2i2i2i−2i000000000000
χ584-4-4444-4-40000000000−222222−22−2i22i22i2−2i2000000000000000000002i−2i−2i2i000000000000
χ594-4-4-44-444004-40-4400000000000000000000000000022−22−22220000000000000000
χ604-4-4-44-444004-40-44000000000000000000000000000−222222−220000000000000000
χ614-4-4-44-44400-4404-4000000000000000004-40000000000000000000000000000
χ624-4-4-44-44400-4404-400000000000000000-440000000000000000000000000000

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