Finite Group Databasebeta

← Group #329373

Character table — Group #329373

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-11-1-111111111111-1-11-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111111111111-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-11-1-11-1-1-1-111-1111111-1-1-1-11-1-1-1-1111-1-11111-1-1-11
χ141111111111111111-1-1-1-11-1-11-1-1-1-111-1111111-1-1-1-1-11111-1-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-111-111-1-1-1-111111-1-1-1-111111-1-1-1-1111-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-111-111-1-1-1-11111-11111-1-1-111-1-111-1-1-11
χ172222222222-2-222-2-222-2-2-222-222-2-222-2-2-200000000000000000000000000
χ182222222222-2-222-2-222-2-2-222-2-2-222-2-2-22200000000000000000000000000
χ192222222222-2-222-2-2-2-222-2-2-2-222-2-2-2-222200000000000000000000000000
χ202222222222-2-222-2-2-2-222-2-2-2-2-2-222222-2-200000000000000000000000000
χ2122222222-2-222-2-2222222-2-2-2-2000000-2000000000022-200-2000000000000
χ2222222222-2-222-2-2222222-2-2-2-2000000-20000000000-2-22002000000000000
χ2322222222-2-222-2-222-2-2-2-2-222-2000000200000000002-2200-2000000000000
χ2422222222-2-222-2-222-2-2-2-2-222-200000020000000000-22-2002000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-22000000200000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-2200000020000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000-2202-20000000000
χ292-222-2-2-222-2002-2002i−2i0002i−2i0002i−2i0002-222−2−2i2i2−i2−i200000000i2−i22−2000000
χ302-222-2-2-222-2002-2002i−2i0002i−2i0002i−2i0002-2−2−222−i2−i2i2i200000000−i2i2−22000000
χ312-222-2-2-222-2002-2002i−2i0002i−2i000−2i2i000-2222−2−2i2i2−i2−i200000000−i2i2−22000000
χ322-222-2-2-222-2002-2002i−2i0002i−2i000−2i2i000-22−2−222−i2−i2i2i200000000i2−i22−2000000
χ332-222-2-2-222-2002-200−2i2i000−2i2i0002i−2i000-2222−2−2−i2−i2i2i200000000i2−i2−22000000
χ342-222-2-2-222-2002-200−2i2i000−2i2i0002i−2i000-22−2−222i2i2−i2−i200000000−i2i22−2000000
χ352-222-2-2-222-2002-200−2i2i000−2i2i000−2i2i0002-222−2−2−i2−i2i2i200000000−i2i22−2000000
χ362-222-2-2-222-2002-200−2i2i000−2i2i000−2i2i0002-2−2−222i2i2−i2−i200000000i2−i2−22000000
χ37444-4-44-4-4004-4004-4000000000000000000000000000000000000022−220000
χ38444-4-44-4-4004-4004-40000000000000000000000000000000000000−22220000
χ39444-4-44-4-400-4400-4400000000000000000000000000000000000000022−2200
χ40444-4-44-4-400-4400-44000000000000000000000000000000000000000−222200
χ4144-44-4-44-44-400-44000000000000004-400000000000000000000000000000
χ4244-44-4-44-44-400-4400000000000000-4400000000000000000000000000000
χ4344-44-4-44-4-44004-400000000004-4000000000000000000000000000000000
χ4444-44-4-44-4-44004-40000000000-44000000000000000000000000000000000
χ4544-4-44-4-4400000000004i−4i00000000000002-22-22i−2i2i−2i000000000000000000
χ4644-4-44-4-4400000000004i−4i0000000000000-22-22−2i2i−2i2i000000000000000000
χ4744-4-44-4-440000000000−4i4i00000000000002-22-2−2i2i−2i2i000000000000000000
χ4844-4-44-4-440000000000−4i4i0000000000000-22-222i−2i2i−2i000000000000000000
χ494-444-4-4-44-4400-44004i−4i000−4i4i000000000000000000000000000000000000
χ504-444-4-4-44-4400-4400−4i4i0004i−4i000000000000000000000000000000000000
χ514-4-4444-4-44444-4-4-4-40000-400400000000000000000000000000000000000
χ524-4-4444-4-444-4-4-4-4440000400-400000000000000000000000000000000000
χ534-4-4444-4-4-4-44444-4-40000400-400000000000000000000000000000000000
χ544-4-4444-4-4-4-4-4-444440000-400400000000000000000000000000000000000
χ554-4-4-4-4444004-400-440000000000000000022−22−22220000000000000000000000
χ564-4-4-4-4444004-400-4400000000000000000−222222−220000000000000000000000
χ574-4-4-4-444400-44004-400000000000000000000022−22−2222000000000000000000
χ584-4-4-4-444400-44004-4000000000000000000000−222222−22000000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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