Finite Group Databasebeta

← Group #267193

Character table — Group #267193

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442244444444444444888888882244488888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ91111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ101111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1
χ111111111111111111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111-1
χ121111111111111111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-111-1-111-1-111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-1-111-1-111-1-111-11
χ172222222222-2-22-2-2222-2-2-2-2222222-2-2-2-200000000-2-2-22200000000000000000000000000
χ182222222222-2-22-2-2222-2-2-2-2-2-2-2-22222220000000022-2-2-200000000000000000000000000
χ192222222222-2-22-2-22-2-2-2-2222222-2-2-2-2-2-200000000222-2-200000000000000000000000000
χ202222222222-2-22-2-22-2-2-2-222-2-2-2-2-2-2222200000000-2-222200000000000000000000000000
χ2122222222-2-222-222-222-2-2-2-20000-2-200002222-2-2-2-200200-2-2220000000000000000000000
χ2222222222-2-222-222-222-2-2-2-20000-2-20000-2-2-2-222220020022-2-20000000000000000000000
χ2322222222-2-222-222-2-2-2-2-22200002200002222222200-200-2-2-2-20000000000000000000000
χ2422222222-2-222-222-2-2-2-2-2220000220000-2-2-2-2-2-2-2-200-20022220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222220000-2-200000000000000-20000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-22222220000-2-200000000000000-2000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-20000220000000000000020000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2000022000000000000002000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ2922-2-22-2-222200-200-22-200002i2i−2i−2i2-2000022−2−222−2−20002i−2i2−22−2i2−i2i2−i2i2−i2i2−i200000000000000
χ3022-2-22-2-222200-200-22-200002i2i−2i−2i2-20000−2−222−2−2220002i−2i−22−22−i2i2−i2i2−i2i2−i2i200000000000000
χ3122-2-22-2-222200-200-22-20000−2i−2i2i2i2-2000022−2−222−2−2000−2i2i2−22−2−i2i2−i2i2−i2i2−i2i200000000000000
χ3222-2-22-2-222200-200-22-20000−2i−2i2i2i2-20000−2−222−2−222000−2i2i−22−22i2−i2i2−i2i2−i2i2−i200000000000000
χ3322-2-22-2-222200-200-2-2200002i2i−2i−2i-22000022−2−2−2−222000−2i2i2−2−22i2−i2i2−i2−i2i2−i2i200000000000000
χ3422-2-22-2-222200-200-2-2200002i2i−2i−2i-220000−2−22222−2−2000−2i2i−222−2−i2i2−i2i2i2−i2i2−i200000000000000
χ3522-2-22-2-222200-200-2-220000−2i−2i2i2i-22000022−2−2−2−2220002i−2i2−2−22−i2i2−i2i2i2−i2i2−i200000000000000
χ3622-2-22-2-222200-200-2-220000−2i−2i2i2i-220000−2−22222−2−20002i−2i−222−2i2−i2i2−i2−i2i2−i2i200000000000000
χ3722-2-22-2-22-2-20020022-200000000-2222-2-222−2−2−2−2222-2000−222−22−2−222−2−2200000000000000
χ3822-2-22-2-22-2-20020022-200000000-2222-2-2−2−22222−2−22-20002−2−22−222−2−222−200000000000000
χ3922-2-22-2-22-2-20020022-200000000-22-2-22222−2−2−2−222-22000−222−2−222−2−222−200000000000000
χ4022-2-22-2-22-2-20020022-200000000-22-2-222−2−22222−2−2-220002−2−222−2−222−2−2200000000000000
χ4122-2-22-2-22-2-2002002-22000000002-222-2-222−2−222−2−2-22000−22−222−2−22−222−200000000000000
χ4222-2-22-2-22-2-2002002-22000000002-222-2-2−2−222−2−222-220002−22−2−222−22−2−2200000000000000
χ4322-2-22-2-22-2-2002002-22000000002-2-2-22222−2−222−2−22-2000−22−22−222−22−2−2200000000000000
χ4422-2-22-2-22-2-2002002-22000000002-2-2-222−2−222−2−2222-20002−22−22−2−22−222−200000000000000
χ452-2-2-2-22222-22-2-22-22002-2002-22-2002-22-20000000000000000000000000002-200002-20000
χ462-2-2-2-22222-22-2-22-22002-2002-22-2002-22-2000000000000000000000000000-220000-220000
χ472-2-2-2-22222-22-2-22-22002-200-22-2200-22-220000000000000000000000000002-20000-220000
χ482-2-2-2-22222-22-2-22-22002-200-22-2200-22-22000000000000000000000000000-2200002-20000
χ492-2-2-2-22222-2-22-2-22200-22002-22-200-22-2200000000000000000000000002-200002-2000000
χ502-2-2-2-22222-2-22-2-22200-22002-22-200-22-220000000000000000000000000-220000-22000000
χ512-2-2-2-22222-2-22-2-22200-2200-22-22002-22-200000000000000000000000002-20000-22000000
χ522-2-2-2-22222-2-22-2-22200-2200-22-22002-22-20000000000000000000000000-2200002-2000000
χ53444-4-44-4-400440-4-4000000000000000000000000000000000000000000000022−2200000000
χ54444-4-44-4-400440-4-40000000000000000000000000000000000000000000000−222200000000
χ55444-4-44-4-400-4-404400000000000000000000000000000000000000000000000000002i2−2i200
χ56444-4-44-4-400-4-40440000000000000000000000000000000000000000000000000000−2i22i200
χ574-444-4-4-444-400400-40000004i−4i−4i4i000000000000000000000000000000000000000000000
χ584-444-4-4-444-400400-4000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ594-444-4-4-44-4400-40040000000000004-4-44000000000000000000000000000000000000000
χ604-444-4-4-44-4400-4004000000000000-444-4000000000000000000000000000000000000000
χ614-44-44-44-40000000000004-400000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000
χ624-44-44-44-40000000000004-40000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000
χ634-44-44-44-4000000000000-4400000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000
χ644-44-44-44-4000000000000-440000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000
χ654-4-4444-4-4004-40-440000000000000000000004i−4i−4i4i0000000000000000000000000000000
χ664-4-4444-4-4004-40-44000000000000000000000−4i4i4i−4i0000000000000000000000000000000
χ674-4-4444-4-400-4404-4000000000000000004i−4i−4i4i00000000000000000000000000000000000
χ684-4-4444-4-400-4404-400000000000000000−4i4i4i−4i00000000000000000000000000000000000
χ694-4-4-4-4444-444-444-4-400-44000000000000000000000000000000000000000000000000000
χ704-4-4-4-4444-44-444-44-4004-4000000000000000000000000000000000000000000000000000
χ7188-88-8-88-8000000000000000000000000000000000000000000000000000000000000000

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