Finite Group Databasebeta

← Group #279763

Character table — Group #279763

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888822444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-11111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-111-111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ9111111111111111111-1-1111111-1-111-111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-11
χ10111111111111111111-1-1111111-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-1
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1111-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-111111-1
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-111-1-1-11
χ172222222222-22-2-2-22-2-2222222002-200-2-2-222-2-20000000000000000000000
χ182222222222-22-2-2-22-2-222-2-2-2-2002-200-222-2-2220000000000000000000000
χ192222222222-22-2-2-22-2-2-2-2222200-22002-2-2-2-2220000000000000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2-2-200-220022222-2-20000000000000000000000
χ2122222222-2-22-2222-2-2-222000022-2-2-2-220000000000200-200000000000000
χ2222222222-2-22-2222-2-2-2220000-2-2-2-22220000000000-200200000000000000
χ2322222222-2-22-2222-2-2-2-2-200002222-2-2-20000000000-200200000000000000
χ2422222222-2-22-2222-2-2-2-2-20000-2-22222-20000000000200-200000000000000
χ2522222222-2-2-2-2-2-2-2-22222000000-2200-20000002i2i−2i−2i000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-22222000000-2200-2000000−2i−2i2i2i00000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-222-2-20000002-20020000002i2i−2i−2i00000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-222-2-20000002-2002000000−2i−2i2i2i000000000000002i−2i00
χ2922-22-22-2-2222-22-2-2-22-20000002-2002-20000000000002-20002-20000000000
χ3022-22-22-2-2222-22-2-2-22-20000002-2002-2000000000000-22000-220000000000
χ3122-22-22-2-2222-22-2-2-22-2000000-2200-220000000000002-2000-220000000000
χ3222-22-22-2-2222-22-2-2-22-2000000-2200-22000000000000-220002-20000000000
χ3322-22-22-2-2-2-2222-2-22-220000002-200-220000000000000002i−2i00002i−2i000000
χ3422-22-22-2-2-2-2222-2-22-220000002-200-22000000000000000−2i2i0000−2i2i000000
χ3522-22-22-2-2-2-2222-2-22-22000000-22002-20000000000000002i−2i0000−2i2i000000
χ3622-22-22-2-2-2-2222-2-22-22000000-22002-2000000000000000−2i2i00002i−2i000000
χ37444-4-4-4-4400000000004i−4i2i22i2−2i2−2i200000000022−22000000000000000000000000
χ38444-4-4-4-4400000000004i−4i−2i2−2i22i22i2000000000−2222000000000000000000000000
χ39444-4-4-4-440000000000−4i4i2i22i2−2i2−2i2000000000−2222000000000000000000000000
χ40444-4-4-4-440000000000−4i4i−2i2−2i22i22i200000000022−22000000000000000000000000
χ4144-44-44-4-444-4-4-444-4-4400000000000000000000000000000000000000000
χ4244-44-44-4-4-4-4-44-44444-400000000000000000000000000000000000000000
χ434-444-4-44-44-404000-4000000000000000000000000000000000000022−220000
χ444-444-4-44-44-404000-40000000000000000000000000000000000000−22220000
χ454-444-4-44-4-440-400040000000000000000000000000000000002i2−2i200000000
χ464-444-4-44-4-440-40004000000000000000000000000000000000−2i22i200000000
χ474-44-444-4-40040-44-4000000000000000000000022−2222−22000000000000000000
χ484-44-444-4-40040-44-40000000000000000000000−2222−2222000000000000000000
χ494-44-444-4-400-404-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-44-444-4-400-404-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-444-4-444-40-4000400000000000000000004-40000000000000000000000
χ524-4-444-4-444-40-400040000000000000000000-440000000000000000000000
χ534-4-444-4-44-4404000-400004i−4i4i−4i00000000000000000000000000000000000
χ544-4-444-4-44-4404000-40000−4i4i−4i4i00000000000000000000000000000000000
χ554-4-4-4-44440040-4-440000022−22−2222000000022−2200000000000000000000000000
χ564-4-4-4-44440040-4-4400000−222222−220000000−222200000000000000000000000000
χ574-4-4-4-444400-4044-40000022−22−22220000000−222200000000000000000000000000
χ584-4-4-4-444400-4044-400000−222222−22000000022−2200000000000000000000000000
χ5988-8-88-88-8000000000000000000000000000000000000000000000000000

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