Finite Group Databasebeta

← Group #256707

Character table — Group #256707

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244442244444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1
χ71111111111111111111111-1-111-1-1-1-11111-1-111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ91111111111111111-1-11-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-111-1-111-1-1
χ101111111111111111-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-111-1-111
χ111111111111111111-1-11-1-1111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-11-1-11111-1-1-1-111
χ121111111111111111-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-1-111-1-11111111111-1-1-1-11-11-1-1-1-1-111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-1-1-111-1-1111111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-2002-222-2-200000000000000-200002000000000000
χ182222222222-2-222-2-222-2-2-2-2002-2-2-2220000000000000020000-2000000000000
χ192222222222-2-222-2-2-2-2-222-200-22222200000000000000-20000-2000000000000
χ202222222222-2-222-2-2-2-2-222-200-22-2-2-2-200000000000000200002000000000000
χ2122222222-2-222-2-22222-2-2-2-222-2200000000-2-2000000000-22000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2200000000220000000002-2000000000000000
χ2322222222-2-222-2-222-2-2-222-2222-20000000022000000000-2-2000000000000000
χ2422222222-2-222-2-222-2-2-222-2-2-22-200000000-2-200000000022000000000000000
χ2522222222-2-2-2-2-2-2-2-222222200-2-2000022-2-200000000000002-20000000000000
χ2622222222-2-2-2-2-2-2-2-222222200-2-20000-2-2220000000000000-220000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22-2-220022000022-2-20000000000000-220000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22-2-2200220000-2-22200000000000002-20000000000000
χ292-2222-2-2-22-22-22-22-200-2002000000002i−2i2i−2i00000022-2-20000002i−2i0000000000
χ302-2222-2-2-22-22-22-22-200-2002000000002i−2i2i−2i000000-2-222000000−2i2i0000000000
χ312-2222-2-2-22-22-22-22-200-200200000000−2i2i−2i2i00000022-2-2000000−2i2i0000000000
χ322-2222-2-2-22-22-22-22-200-200200000000−2i2i−2i2i000000-2-2220000002i−2i0000000000
χ332-2222-2-2-2-22-22-22-2200-2002000000002i−2i−2i2i0022-2-20000000000002i−2i00000000
χ342-2222-2-2-2-22-22-22-2200-2002000000002i−2i−2i2i00-2-222000000000000−2i2i00000000
χ352-2222-2-2-2-22-22-22-2200-200200000000−2i2i2i−2i0022-2-2000000000000−2i2i00000000
χ362-2222-2-2-2-22-22-22-2200-200200000000−2i2i2i−2i00-2-2220000000000002i−2i00000000
χ37444-4-4-4-44000000000004-40000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ38444-4-4-4-44000000000004-4000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ39444-4-4-4-4400000000000-440000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ40444-4-4-4-4400000000000-44000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ4144-44-44-4-4004400-4-40000004-400000000000000000000000000000000000000
χ4244-44-44-4-4004400-4-4000000-4400000000000000000000000000000000000000
χ4344-44-44-4-400-4-400440000000000000000004i−4i00000000000000000000000000
χ4444-44-44-4-400-4-40044000000000000000000−4i4i00000000000000000000000000
χ4544-4-44-44-44400-4-4000000000000004-400000000000000000000000000000000
χ4644-4-44-44-44400-4-400000000000000-4400000000000000000000000000000000
χ4744-4-44-44-4-4-400440000000000004i−4i0000000000000000000000000000000000
χ4844-4-44-44-4-4-40044000000000000−4i4i0000000000000000000000000000000000
χ494-4444-4-4-44-4-444-4-4400400-40000000000000000000000000000000000000000
χ504-4444-4-4-4-444-4-444-400400-40000000000000000000000000000000000000000
χ514-44-4-444-4000000004-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ524-44-4-444-4000000004-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ534-44-4-444-400000000-440000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ544-44-4-444-400000000-44000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ554-4-44-4-444004-400-44000000000000000000000000000000000000000022−220000
χ564-4-44-4-444004-400-440000000000000000000000000000000000000000−22220000
χ574-4-44-4-44400-44004-40000000000000000000000000000000000000022−22000000
χ584-4-44-4-44400-44004-400000000000000000000000000000000000000−2222000000
χ594-4-4-444-444-400-440000000000000000000000000000000000000000000022−2200
χ604-4-4-444-444-400-4400000000000000000000000000000000000000000000−222200
χ614-4-4-444-44-44004-4000000000000000000000000000000000000000000000022−22
χ624-4-4-444-44-44004-40000000000000000000000000000000000000000000000−2222

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