Finite Group Databasebeta

← Group #293639

Character table — Group #293639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444222244444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-111111111-1-1-111-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1111111-1-111-111-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ121111111111111111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-111-1111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ172222222222-2-222-2-222220000-2-22222-20000-20000000000-2-200000000000000
χ182222222222-2-222-2-222220000-2-2-2-2-2-2-20000-200000000002200000000000000
χ192222222222-2-222-2-2-2-2-2-20000-2-222-2-22000020000000000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-20000-2-2-2-22220000200000000002-200000000000000
χ2122222222-2-222-2-22222-2-22222-2-200002-2-222-2-2-2000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-20000222-2-2-222000000000000000000000000
χ2322222222-2-222-2-222-2-2222222-2-20000-2-2-2-2-2222000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-20000-222222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-20000220000-2000020000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-20000220000-200002000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222000022000020000-20000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222000022000020000-2000000000000-222-20000000000
χ292-2-22-222-22-2222-2-2-200002i2i−2i−2i2-2000002i−2i0000000002i2i−2i−2i000000002-2000000
χ302-2-22-222-22-2222-2-2-200002i2i−2i−2i2-2000002i−2i000000000−2i−2i2i2i00000000-22000000
χ312-2-22-222-22-2222-2-2-20000−2i−2i2i2i2-200000−2i2i0000000002i2i−2i−2i00000000-22000000
χ322-2-22-222-22-2222-2-2-20000−2i−2i2i2i2-200000−2i2i000000000−2i−2i2i2i000000002-2000000
χ332-2-22-222-2-2222-22-2-200002i2i−2i−2i-2200000−2i2i000002i2i−2i−2i00000000002-200000000
χ342-2-22-222-2-2222-22-2-200002i2i−2i−2i-2200000−2i2i00000−2i−2i2i2i0000000000-2200000000
χ352-2-22-222-2-2222-22-2-20000−2i−2i2i2i-22000002i−2i000002i2i−2i−2i0000000000-2200000000
χ362-2-22-222-2-2222-22-2-20000−2i−2i2i2i-22000002i−2i00000−2i−2i2i2i00000000002-200000000
χ37444-4-44-4-44-400-440000000000004-40000000000000000000000000000000000
χ38444-4-44-4-44-400-44000000000000-440000000000000000000000000000000000
χ39444-4-44-4-4-44004-4000000000000004-400000000000000000000000000000000
χ40444-4-44-4-4-44004-400000000000000-4400000000000000000000000000000000
χ4144-444-4-4-400000000004-40000000000000000002-22-22-22-20000000000000000
χ4244-444-4-4-400000000004-4000000000000000000-22-22-22-220000000000000000
χ4344-444-4-4-40000000000-440000000000000000002-22-2-22-220000000000000000
χ4444-444-4-4-40000000000-44000000000000000000-22-222-22-20000000000000000
χ4544-4-4-4-444004-4004-4000000000000000000004-4000000000000000000000000
χ4644-4-4-4-444004-4004-400000000000000000000-44000000000000000000000000
χ4744-4-4-4-44400-4400-4400004-44-400000000000000000000000000000000000000
χ4844-4-4-4-44400-4400-440000-44-4400000000000000000000000000000000000000
χ494-444-4-4-44000000004-4000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ504-444-4-4-44000000004-400000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ514-444-4-4-4400000000-44000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ524-444-4-4-4400000000-4400000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ534-44-44-44-4004-400-44000000000000000004i−4i000000000000000000000000000
χ544-44-44-44-4004-400-4400000000000000000−4i4i000000000000000000000000000
χ554-44-44-44-400-44004-400004i−4i−4i4i00000000000000000000000000000000000000
χ564-44-44-44-400-44004-40000−4i4i4i−4i00000000000000000000000000000000000000
χ574-4-44-444-44-4-4-44-44400000000-44000000000000000000000000000000000000
χ584-4-44-444-4-44-4-4-4444000000004-4000000000000000000000000000000000000
χ594-4-4-444-444400-4-4000000000000000000000000000000000000000000002i2−2i200
χ604-4-4-444-444400-4-400000000000000000000000000000000000000000000−2i22i200
χ614-4-4-444-44-4-4004400000000000000000000000000000000000000000022−220000
χ624-4-4-444-44-4-40044000000000000000000000000000000000000000000−22220000

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