Finite Group Databasebeta

← Group #255019

Character table — Group #255019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244442222444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111-1-111-1-111111111-1-11-11-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-111-1-11111111111-1-1-11-11-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1
χ91111111111111111-1-11-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ101111111111111111-1-11-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ121111111111111111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1
χ131111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1-1-11111-1-1-1-111
χ141111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-11111-1-1
χ151111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-111-1-11111-1-1
χ161111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-111
χ172222222222-2-222-2-222-2-2-2-200002-20022002200000000000-20-2000000000000
χ182222222222-2-222-2-222-2-2-2-200002-200-2-200-2-200000000000202000000000000
χ192222222222-2-222-2-2-2-2-222-20000-22002200-2-20000000000020-2000000000000
χ202222222222-2-222-2-2-2-2-222-20000-2200-2-2002200000000000-202000000000000
χ2122222222-2-222-2-22222-2-2-2-20000-22220022000000000000-20-20000000000000
χ2222222222-2-222-2-22222-2-2-2-20000-22-2-200-2-20000000000002020000000000000
χ2322222222-2-222-2-222-2-2-222-200002-22200-2-200000000000020-20000000000000
χ2422222222-2-222-2-222-2-2-222-200002-2-2-20022000000000000-2020000000000000
χ2522222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-222-2-20000000000000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22-2-2222-2-2220000000000000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22-2-22-2-2222200000000000000002-20000000000000000
χ292-2-222-22-22-22-22-22-200200-22-22-2000000000000002i2i−2i−2i000000002i−2i00000000
χ302-2-222-22-22-22-22-22-200200-22-22-200000000000000−2i−2i2i2i00000000−2i2i00000000
χ312-2-222-22-22-22-22-22-200200-2-22-22000000000000002i2i−2i−2i00000000−2i2i00000000
χ322-2-222-22-22-22-22-22-200200-2-22-2200000000000000−2i−2i2i2i000000002i−2i00000000
χ332-2-222-22-2-22-22-22-2200200-22-2-2200000000002i2i−2i−2i00000000002i−2i0000000000
χ342-2-222-22-2-22-22-22-2200200-22-2-220000000000−2i−2i2i2i0000000000−2i2i0000000000
χ352-2-222-22-2-22-22-22-2200200-2-222-200000000002i2i−2i−2i0000000000−2i2i0000000000
χ362-2-222-22-2-22-22-22-2200200-2-222-20000000000−2i−2i2i2i00000000002i−2i0000000000
χ37444-4-4-44-4000000000004-40000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ38444-4-4-44-4000000000004-4000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ39444-4-4-44-400000000000-440000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ40444-4-4-44-400000000000-44000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ4144-44-44-4-4004-400-440000000000004i−4i00000000000000000000000000000000
χ4244-44-44-4-4004-400-44000000000000−4i4i00000000000000000000000000000000
χ4344-44-44-4-400-44004-400000000000000004i−4i0000000000000000000000000000
χ4444-44-44-4-400-44004-40000000000000000−4i4i0000000000000000000000000000
χ4544-4-44-4-444400-4-400000000000000000000000000000000000000000000002i2−2i2
χ4644-4-44-4-444400-4-40000000000000000000000000000000000000000000000−2i22i2
χ4744-4-44-4-44-4-400440000000000000000000000000000000000000000000022−2200
χ4844-4-44-4-44-4-4004400000000000000000000000000000000000000000000−222200
χ494-444-4-4-44004400-4-400000000000000000000000000000000000000002i2−2i20000
χ504-444-4-4-44004400-4-40000000000000000000000000000000000000000−2i22i20000
χ514-444-4-4-4400-4-400440000000000000000000000000000000000000022−22000000
χ524-444-4-4-4400-4-4004400000000000000000000000000000000000000−2222000000
χ534-44-444-4-44-400-4400000000000000004i−4i000000000000000000000000000000
χ544-44-444-4-44-400-440000000000000000−4i4i000000000000000000000000000000
χ554-44-444-4-4-44004-4000000000000000000004i−4i00000000000000000000000000
χ564-44-444-4-4-44004-400000000000000000000−4i4i00000000000000000000000000
χ574-4-444-44-44-4-444-4-4400-40040000000000000000000000000000000000000000
χ584-4-444-44-4-444-4-444-400-40040000000000000000000000000000000000000000
χ594-4-4-4-4444000000004-40000000000000000002-2-222-2-22000000000000000000
χ604-4-4-4-4444000000004-4000000000000000000-222-2-222-2000000000000000000
χ614-4-4-4-444400000000-440000000000000000002-2-22-222-2000000000000000000
χ624-4-4-4-444400000000-44000000000000000000-222-22-2-22000000000000000000

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