Finite Group Databasebeta

← Group #287481

Character table — Group #287481

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444448888888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ91111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-11
χ111111111111111111-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-1111-1-11111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-111-1-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111-1
χ172222222222-22-2-2-2222-2-2-2-222-200000000000000002-2200-2000000000000
χ182222222222-22-2-2-2222-2-2-2-222-20000000000000000-22-2002000000000000
χ192222222222-22-2-2-22-2-222-2-2-2-2200000000000000002-2-2002000000000000
χ202222222222-22-2-2-22-2-222-2-2-2-220000000000000000-22200-2000000000000
χ2122222222-2-22-2222-22222-2-2-2-2-2000022-2-20000-2-222000000000000000000
χ2222222222-2-22-2222-22222-2-2-2-2-20000-2-222000022-2-2000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2222000022220000-2-2-2-2000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-22220000-2-2-2-200002222000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-222i2i−2i−2i00002i2i−2i−2i0000000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-22−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i0000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i00002i2i−2i−2i0000000000000000000000
χ292-2-222-22-22-22-22-2-2200002-2000000000002i−2i2i−2i00000000002-22i−2i00000000
χ302-2-222-22-22-22-22-2-2200002-2000000000002i−2i2i−2i0000000000-22−2i2i00000000
χ312-2-222-22-22-22-22-2-2200002-200000000000−2i2i−2i2i00000000002-2−2i2i00000000
χ322-2-222-22-22-22-22-2-2200002-200000000000−2i2i−2i2i0000000000-222i−2i00000000
χ332-2-222-22-2-22-22-222-200002-2000000000002-2-2200000002i−2i000002i−2i000000
χ342-2-222-22-2-22-22-222-200002-2000000000002-2-220000000−2i2i00000−2i2i000000
χ352-2-222-22-2-22-22-222-200002-200000000000-222-200000002i−2i00000−2i2i000000
χ362-2-222-22-2-22-22-222-200002-200000000000-222-20000000−2i2i000002i−2i000000
χ3744-44-44-4-40040-44-40000000000000000000000000000000000000022−220000
χ3844-44-44-4-40040-44-400000000000000000000000000000000000000−22220000
χ3944-44-44-4-400-404-4400000000000000000000000000000000000000002i2−2i200
χ4044-44-44-4-400-404-440000000000000000000000000000000000000000−2i22i200
χ4144-4-44-4-44440-4000-44-400004-400000000000000000000000000000000000
χ4244-4-44-4-44440-4000-4-440000-4400000000000000000000000000000000000
χ4344-4-44-4-44-4-40400044-40000-4400000000000000000000000000000000000
χ4444-4-44-4-44-4-4040004-4400004-400000000000000000000000000000000000
χ454-444-4-4-440040-4-44000000000000004i−4i0000000000000000000000000000
χ464-444-4-4-440040-4-4400000000000000−4i4i0000000000000000000000000000
χ474-444-4-4-4400-4044-40000000000000000000000004i−4i000000000000000000
χ484-444-4-4-4400-4044-4000000000000000000000000−4i4i000000000000000000
χ494-44-444-4-44-404000-400000000022−2222−22000000000000000000000000000000
χ504-44-444-4-44-404000-4000000000−2222−2222000000000000000000000000000000
χ514-44-444-4-4-440-400040000000002i2−2i2−2i22i2000000000000000000000000000000
χ524-44-444-4-4-440-40004000000000−2i22i22i2−2i2000000000000000000000000000000
χ534-4-444-44-44-4-4-4-44440000-440000000000000000000000000000000000000
χ544-4-444-44-4-44444-4-4-40000-440000000000000000000000000000000000000
χ554-4-4-4-444400000000004-40000000000022−22000022−2200000000000000000000
χ564-4-4-4-444400000000004-400000000000−22220000−222200000000000000000000
χ574-4-4-4-44440000000000-440000000000022−220000−222200000000000000000000
χ584-4-4-4-44440000000000-4400000000000−2222000022−2200000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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