Finite Group Databasebeta

← Group #276098

Character table — Group #276098

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111111111-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11-1
χ101111111111111111-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ121111111111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ172222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-22200000000000000000000000000
χ182222222222-2-2-2-22222-2-2-2-222-2-222-222-2-200000000000000000000000000
χ192222222222-2-2-2-222-2-222-2-2-2-222222-2-2-2-200000000000000000000000000
χ202222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-22222200000000000000000000000000
χ2122222222-2-22222-2-22222-2-2-2-20000-2000022-2-222-2-2000000000000000000
χ2222222222-2-22222-2-22222-2-2-2-20000-20000-2-222-2-222000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-22200002000022-2-2-2-222000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-222000020000-2-22222-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-20000200000000000000002i−2i2i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2000020000000000000000−2i2i−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-200000000000000002i−2i−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000−2i2i2i−2i0000000000
χ292-2-22-22-222-222-2-22-200002-2002i−2i0002i−2i00000000002-2000000002i−2i000000
χ302-2-22-22-222-222-2-22-200002-2002i−2i0002i−2i0000000000-2200000000−2i2i000000
χ312-2-22-22-222-222-2-22-200002-200−2i2i000−2i2i00000000002-200000000−2i2i000000
χ322-2-22-22-222-222-2-22-200002-200−2i2i000−2i2i0000000000-22000000002i−2i000000
χ332-2-22-22-222-2-2-2222-20000-22002i−2i000−2i2i0000000000002i−2i00002-200000000
χ342-2-22-22-222-2-2-2222-20000-22002i−2i000−2i2i000000000000−2i2i0000-2200000000
χ352-2-22-22-222-2-2-2222-20000-2200−2i2i0002i−2i0000000000002i−2i0000-2200000000
χ362-2-22-22-222-2-2-2222-20000-2200−2i2i0002i−2i000000000000−2i2i00002-200000000
χ37444-4-44-4-4004-44-400000000000000000000000000000000000000022−220000
χ38444-4-44-4-4004-44-4000000000000000000000000000000000000000−22220000
χ39444-4-44-4-400-44-440000000000000000000000000000000000000000022−2200
χ40444-4-44-4-400-44-4400000000000000000000000000000000000000000−222200
χ4144-444-4-4-400000000004-4000000000000022−220022−2200000000000000000000
χ4244-444-4-4-400000000004-40000000000000−222200−222200000000000000000000
χ4344-444-4-4-40000000000-44000000000000022−2200−222200000000000000000000
χ4444-444-4-4-40000000000-440000000000000−22220022−2200000000000000000000
χ4544-4-4-4-4444-40000-440000000000000004-400000000000000000000000000
χ4644-4-4-4-4444-40000-44000000000000000-4400000000000000000000000000
χ4744-4-4-4-444-4400004-400000000004i−4i0000000000000000000000000000000
χ4844-4-4-4-444-4400004-40000000000−4i4i0000000000000000000000000000000
χ494-44-44-4-44440000-4-44-400004-400000000000000000000000000000000000
χ504-44-44-4-44440000-4-4-440000-4400000000000000000000000000000000000
χ514-44-44-4-44-4-40000444-40000-4400000000000000000000000000000000000
χ524-44-44-4-44-4-4000044-4400004-400000000000000000000000000000000000
χ534-4-44-44-44-4444-4-4-440000-440000000000000000000000000000000000000
χ544-4-44-44-44-44-4-444-4400004-40000000000000000000000000000000000000
χ554-4-4-4444-4004-4-440000000000000000000004i−4i0000000000000000000000
χ564-4-4-4444-4004-4-44000000000000000000000−4i4i0000000000000000000000
χ574-4-4-4444-400-444-400000000000000000000000004i−4i000000000000000000
χ584-4-4-4444-400-444-40000000000000000000000000−4i4i000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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