Finite Group Databasebeta

← Group #293052

Character table — Group #293052

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444424444444444488888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111-1-1-1-1-11-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111
χ511111111111111111111-1-11-1-11111111111111-11-1-1-1-1-11-1-1-1-11111-1-1
χ611111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-111
χ711111111111111111111-1-11-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ9111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-111-1-11-1
χ10111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11-1-1-111-1-111-11
χ11111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-111-111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-111-11111-1-1-1-111111-1-1-111-1-111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11
χ172222222222-2-222-2-2-2-22200-200-222-2-2000000000-20000020000000000
χ182222222222-2-222-2-2-2-22200-200-2-2-222000000000200000-20000000000
χ192222222222-2-222-2-2-2-2-2-200200222-2-2000000000200000-20000000000
χ202222222222-2-222-2-2-2-2-2-2002002-2-222000000000-20000020000000000
χ2122222222-2-222-2-222-2-22-222222-2000000000000-200000-200000000000
χ2222222222-2-222-2-222-2-22-2-2-22-2-2-2000000000000200000200000000000
χ2322222222-2-222-2-222-2-2-2222-2-2-22000000000000200000-200000000000
χ2422222222-2-222-2-222-2-2-22-2-2-2222000000000000-200000200000000000
χ2522222222-2-2-2-2-2-2-2-2222-200-2002000000000000002-22-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222-200-200200000000000000-22-22000000000000
χ2722222222-2-2-2-2-2-2-2-222-2200200-2000000000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-222-2200200-200000000000000-222-2000000000000
χ292-22-222-2-22-2222-2-2-2-22000000002i−2i2i−2i22-2-200000000000000002i−2i0000
χ302-22-222-2-22-2222-2-2-2-22000000002i−2i2i−2i-2-2220000000000000000−2i2i0000
χ312-22-222-2-22-2222-2-2-2-2200000000−2i2i−2i2i22-2-20000000000000000−2i2i0000
χ322-22-222-2-22-2222-2-2-2-2200000000−2i2i−2i2i-2-22200000000000000002i−2i0000
χ332-22-222-2-22-2-2-22-2222-2000000002i−2i−2i2i00002i2i−2i−2i000000000000002-200
χ342-22-222-2-22-2-2-22-2222-2000000002i−2i−2i2i0000−2i−2i2i2i00000000000000-2200
χ352-22-222-2-22-2-2-22-2222-200000000−2i2i2i−2i00002i2i−2i−2i00000000000000-2200
χ362-22-222-2-22-2-2-22-2222-200000000−2i2i2i−2i0000−2i−2i2i2i000000000000002-200
χ37444-4-4-44-44400-4-40000000000000000000022−2222−22000000000000000000
χ38444-4-4-44-44400-4-400000000000000000000−2222−2222000000000000000000
χ39444-4-4-44-4-4-4004400000000000000002i2−2i22i2−2i20000000000000000000000
χ40444-4-4-44-4-4-400440000000000000000−2i22i2−2i22i20000000000000000000000
χ4144-444-4-4-4004-4004-400000004-40000000000000000000000000000000
χ4244-444-4-4-4004-4004-40000000-440000000000000000000000000000000
χ4344-444-4-4-400-4400-4400004-40000000000000000000000000000000000
χ4444-444-4-4-400-4400-440000-440000000000000000000000000000000000
χ454-444-4-4-444-400-44000000000000000000002i2−2i2−2i22i2000000000000000000
χ464-444-4-4-444-400-4400000000000000000000−2i22i22i2−2i2000000000000000000
χ474-444-4-4-44-44004-400000000000000002i2−2i2−2i22i20000000000000000000000
χ484-444-4-4-44-44004-40000000000000000−2i22i22i2−2i20000000000000000000000
χ494-44-444-4-4-4444-44-4-44-400000000000000000000000000000000000000
χ504-44-444-4-4-44-4-4-4444-4400000000000000000000000000000000000000
χ514-4-4-44-444004-400-440000000000000000000000000000000022−22000000
χ524-4-4-44-444004-400-4400000000000000000000000000000000−2222000000
χ534-4-4-44-44400-44004-400000000000000000000000000000022−2200000000
χ544-4-4-44-44400-44004-4000000000000000000000000000000−222200000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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