Finite Group Databasebeta

← Group #300978

Character table — Group #300978

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882244444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111111-1-1-1-111-1-1-11
χ172222222222-2-22-2-220000-2-22222002222-2-2000000000000-2-200000000000000
χ182222222222-2-22-2-220000-2-2222200-2-2-2-2-2-20000000000002200000000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-20022-2-222000000000000-2200000000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-200-2-222220000000000002-200000000000000
χ2122222222-2-222-222-22222-2-20000-2-200000022-2-200000000002-2000000000000
χ2222222222-2-222-222-22222-2-20000-2-2000000-2-2220000000000-22000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200002200000022-2-20000000000-22000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000022000000-2-22200000000002-2000000000000
χ252-2-2-2-22222-2-2-2222-222-2-2-2200002-20000000000000022-2-2000000002-2000000
χ262-2-2-2-22222-2-2-2222-222-2-2-2200002-200000000000000-2-22200000000-22000000
χ272-2-2-2-22222-2-2-2222-2-2-222-220000-220000000000000022-2-200000000-22000000
χ282-2-2-2-22222-2-2-2222-2-2-222-220000-2200000000000000-2-222000000002-2000000
χ292-2-2-2-2222-2222-2-2-220000-2222-2-20000002-200000000000000002-22-200000000
χ302-2-2-2-2222-2222-2-2-220000-2222-2-20000002-20000000000000000-22-2200000000
χ312-2-2-2-2222-2222-2-2-220000-22-2-222000000-2200000000000000002-2-2200000000
χ322-2-2-2-2222-2222-2-2-220000-22-2-222000000-220000000000000000-222-200000000
χ332-2-2-2-2222-22-2-2-222222-2-22-222-2-2-220000-22000022-2-200000000000000000000
χ342-2-2-2-2222-22-2-2-222222-2-22-2-2-222-2200002-20000-2-22200000000000000000000
χ352-2-2-2-2222-22-2-2-2222-2-2222-222-2-22-20000-220000-2-22200000000000000000000
χ362-2-2-2-2222-22-2-2-2222-2-2222-2-2-2222-200002-2000022-2-200000000000000000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ38444-4-44-4-44400-400-4000000000000000000000000000000000000000022−220000
χ39444-4-44-4-44400-400-40000000000000000000000000000000000000000−22220000
χ40444-4-44-4-4-4-40040040000000000004i−4i00000000000000000000000000000000
χ41444-4-44-4-4-4-4004004000000000000−4i4i00000000000000000000000000000000
χ4244-44-4-44-4004-404-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4344-44-4-44-4004-404-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ4444-44-4-44-400-440-4404i−4i4i−4i000000000000000000000000000000000000000000
χ4544-44-4-44-400-440-440−4i4i−4i4i000000000000000000000000000000000000000000
χ4644-4-44-4-440000000000000022−2222−220000000022−220000002-22-20000000000000000
χ4744-4-44-4-440000000000000022−2222−2200000000−2222000000-22-220000000000000000
χ4844-4-44-4-4400000000000000−2222−22220000000022−22000000-22-220000000000000000
χ4944-4-44-4-4400000000000000−2222−222200000000−22220000002-22-20000000000000000
χ504-444-4-4-440000000000000022−22−2222000000000022−2200002-2-220000000000000000
χ514-444-4-4-440000000000000022−22−22220000000000−22220000-222-20000000000000000
χ524-444-4-4-4400000000000000−222222−22000000000022−220000-222-20000000000000000
χ534-444-4-4-4400000000000000−222222−220000000000−222200002-2-220000000000000000
χ544-44-44-44-4004-40-4404i−4i−4i4i000000000000000000000000000000000000000000
χ554-44-44-44-4004-40-440−4i4i4i−4i000000000000000000000000000000000000000000
χ564-44-44-44-400-4404-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ574-44-44-44-400-4404-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ584-4-4444-4-44-400-4004000000000000004i−4i000000000000000000000000000000
χ594-4-4444-4-44-400-400400000000000000−4i4i000000000000000000000000000000
χ604-4-4444-4-4-4400400-40000000000000000000000000000000000000000002i2−2i200
χ614-4-4444-4-4-4400400-4000000000000000000000000000000000000000000−2i22i200
χ624-4-4-4-44444-4444-4-4-400004-40000000000000000000000000000000000000000

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