Finite Group Databasebeta

← Group #271879

Character table — Group #271879

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422244444444488888888244444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11111-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-111-11
χ711111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-11
χ811111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-11-1
χ9111111111111111111-1-11111-1-1111111111111-11-1-1-11-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-111
χ11111111111111111111-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ12111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-11111-1-1-11
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-111-1-111-1-1-11
χ172222222222-2-222-2-2-2-2222200-2-2-2-20000000000-200020000000000000
χ182222222222-2-222-2-2-2-222-2-200-2-22200000000002000-20000000000000
χ192222222222-2-222-2-2-2-2-2-2220022-2-200000000002000-20000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-20022220000000000-200020000000000000
χ2122222222-2-222-2-222-2-2002-222002-222000000000-2000-2000000000000
χ2222222222-2-222-2-222-2-2002-2-2-2002-2-2-200000000020002000000000000
χ2322222222-2-222-2-222-2-200-222200-22-2-2000000000-20002000000000000
χ2422222222-2-222-2-222-2-200-22-2-200-22220000000002000-2000000000000
χ2522222222-2-2-2-2-2-2-2-222002-20000-220000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-222002-20000-22000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-22200-2200002-20000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-22200-2200002-2000000000000-22002-20000000000
χ292-22-2-2-2222-2222-2-2-22-22-200002-200002i2i−2i−2i0000000000002i−2i00000000
χ302-22-2-2-2222-2222-2-2-22-22-200002-20000−2i−2i2i2i000000000000−2i2i00000000
χ312-22-2-2-2222-2222-2-2-22-2-220000-2200002i2i−2i−2i000000000000−2i2i00000000
χ322-22-2-2-2222-2222-2-2-22-2-220000-220000−2i−2i2i2i0000000000002i−2i00000000
χ332-22-2-2-2222-2-2-22-222-222-20000-220000000022-2-200000000002-2000000
χ342-22-2-2-2222-2-2-22-222-222-20000-2200000000-2-2220000000000-22000000
χ352-22-2-2-2222-2-2-22-222-22-2200002-20000000022-2-20000000000-22000000
χ362-22-2-2-2222-2-2-22-222-22-2200002-200000000-2-22200000000002-2000000
χ37444-44-4-4-44400-4-4000000000000000022−2222−220000000000000000000000
χ38444-44-4-4-44400-4-40000000000000000−2222−22220000000000000000000000
χ39444-44-4-4-4-4-40044000000000000000000002i2−2i22i2−2i2000000000000000000
χ40444-44-4-4-4-4-4004400000000000000000000−2i22i2−2i22i2000000000000000000
χ4144-44-4-44-4004-4004-40000000000004i−4i00000000000000000000000000
χ4244-44-4-44-4004-4004-4000000000000−4i4i00000000000000000000000000
χ4344-44-4-44-400-4400-440000004i−4i00000000000000000000000000000000
χ4444-44-4-44-400-4400-44000000−4i4i00000000000000000000000000000000
χ454-444-44-4-44-400-4400000000000000002i2−2i2−2i22i20000000000000000000000
χ464-444-44-4-44-400-440000000000000000−2i22i22i2−2i20000000000000000000000
χ474-444-44-4-4-44004-4000000000000000000002i2−2i2−2i22i2000000000000000000
χ484-444-44-4-4-44004-400000000000000000000−2i22i22i2−2i2000000000000000000
χ494-44-4-4-444-4444-44-4-4-4400000000000000000000000000000000000000
χ504-44-4-4-444-44-4-4-44444-400000000000000000000000000000000000000
χ514-4-4-4444-4004-400-4400000000000000000000000000000000000022−2200
χ524-4-4-4444-4004-400-44000000000000000000000000000000000000−222200
χ534-4-4-4444-400-44004-4000000000000000000000000000000000022−220000
χ544-4-4-4444-400-44004-40000000000000000000000000000000000−22220000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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