Finite Group Databasebeta

← Group #337313

Character table — Group #337313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-11-1-11-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-11-1-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-111
χ11111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-111-1-1-111-1-11-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-1-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-1111-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-11-1
χ172222222222-22-2-2-22-2-22222000022000000-2-200000000-20200-2000000000
χ182222222222-22-2-2-22-2-222220000-2-2000000-2-20000000020-2002000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000220000002200000000-20-2002000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-2000000220000000020200-2000000000
χ2122222222-2-22-2222-2-2-2000022-2-2002222-2-200000000000-20000000000000
χ2222222222-2-22-2222-2-2-2000022-2-200-2-2-2-2220000000000020000000000000
χ2322222222-2-22-2222-2-2-20000-2-2220022-2-22200000000000-20000000000000
χ2422222222-2-22-2222-2-2-20000-2-22200-2-222-2-20000000000020000000000000
χ252-22-222-2-2-2-2-2222-222-200000000000000000022-2-200000002i−2i0002i−2i00000
χ262-22-222-2-2-2-2-2222-222-200000000000000000022-2-20000000−2i2i000−2i2i00000
χ272-22-222-2-2-2-2-2222-222-2000000000000000000-2-22200000002i−2i000−2i2i00000
χ282-22-222-2-2-2-2-2222-222-2000000000000000000-2-2220000000−2i2i0002i−2i00000
χ292-2-2-2-222200-202-2200022−2−2002-2002-2002-22−22−22−222−2−200000000002−2000
χ302-2-2-2-222200-202-2200022−2−2002-200-2200-222−22−22−2−2−2220000000000−22000
χ312-2-2-2-222200-202-2200022−2−200-22002-200-222−2−22−22−2−22200000000002−2000
χ322-2-2-2-222200-202-2200022−2−200-2200-22002-22−2−22−2222−2−20000000000−22000
χ332-2-2-2-222200-202-22000−2−222002-2002-2002-2−22−22−22−2−2220000000000−22000
χ342-2-2-2-222200-202-22000−2−222002-200-2200-22−22−22−2222−2−200000000002−2000
χ352-2-2-2-222200-202-22000−2−22200-22002-200-22−222−22−222−2−20000000000−22000
χ362-2-2-2-222200-202-22000−2−22200-2200-22002-2−222−22−2−2−22200000000002−2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-44-404000-400000000000000000000000022−2222−22000000000000000
χ39444-4-4-44-44-404000-4000000000000000000000000−2222−2222000000000000000
χ40444-4-4-44-4-440-40004004i−4i4i−4i0000000000000000000000000000000000000
χ41444-4-4-44-4-440-4000400−4i4i−4i4i0000000000000000000000000000000000000
χ4244-44-44-4-400404-4-400000000000000000000022−22−22220000000000000000000
χ4344-44-44-4-400404-4-4000000000000000000000−222222−220000000000000000000
χ4444-44-44-4-400-40-44400000004i−4i00000000000000000000000000000000000
χ4544-44-44-4-400-40-4440000000−4i4i00000000000000000000000000000000000
χ464-444-4-4-444-40-40004000000000000000000000000000000000022−220000000
χ474-444-4-4-444-40-400040000000000000000000000000000000000−22220000000
χ484-444-4-4-44-4404000-400000000004i−4i0000000000000000000000000000000
χ494-444-4-4-44-4404000-40000000000−4i4i0000000000000000000000000000000
χ504-44-444-4-4444-4-4-44-44-400000000000000000000000000000000000000000
χ514-44-444-4-444-4-444-4-4-4400000000000000000000000000000000000000000
χ524-44-444-4-4-4-444-4-444-4400000000000000000000000000000000000000000
χ534-4-444-44-400000000002i2−2i2−2i22i2000000002i2−2i2000000002-2-22000000000000000
χ544-4-444-44-400000000002i2−2i2−2i22i200000000−2i22i200000000-222-2000000000000000
χ554-4-444-44-40000000000−2i22i22i2−2i2000000002i2−2i200000000-222-2000000000000000
χ564-4-444-44-40000000000−2i22i22i2−2i200000000−2i22i2000000002-2-22000000000000000
χ574-4-4-4-44440040-44-40002222−22−22000000000000−222200000000000000000000000
χ584-4-4-4-44440040-44-4000−22−22222200000000000022−2200000000000000000000000
χ5988-8-88-8-88000000000000000000000000000000000000000000000000000

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