Finite Group Databasebeta

← Group #336294

Character table — Group #336294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-1-1
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-11-11111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1111-11-1-111-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-1-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1111-1-1-11111-11-1
χ172222222222-22-2-2-22-2-22222000022000000-2-200000000-2-20020000000000
χ182222222222-22-2-2-22-2-222220000-2-2000000-2-2000000002200-20000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200002200000022000000002-200-20000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-20000002200000000-220020000000000
χ2122222222-2-22-2222-2-2-2000022-2-2002222-2-2000000000000000-2000000000
χ2222222222-2-22-2222-2-2-2000022-2-200-2-2-2-2220000000000000002000000000
χ2322222222-2-22-2222-2-2-20000-2-2220022-2-222000000000000000-2000000000
χ2422222222-2-22-2222-2-2-20000-2-22200-2-222-2-20000000000000002000000000
χ2522-2-22-22-20020-2-22000i2i2−i2−i2002-2002-2002-2i2−i2i2i2−i2−i2i2i2−i2−i20000000000i2−i2000
χ2622-2-22-22-20020-2-22000i2i2−i2−i2002-200-2200-22i2−i2i2i2−i2−i2−i2−i2i2i20000000000−i2i2000
χ2722-2-22-22-20020-2-22000i2i2−i2−i200-22002-200-22i2−i2−i2−i2i2i2−i2−i2i2i20000000000i2−i2000
χ2822-2-22-22-20020-2-22000i2i2−i2−i200-2200-22002-2i2−i2−i2−i2i2i2i2i2−i2−i20000000000−i2i2000
χ2922-2-22-22-20020-2-22000−i2−i2i2i2002-2002-2002-2−i2i2−i2−i2i2i2−i2−i2i2i20000000000−i2i2000
χ3022-2-22-22-20020-2-22000−i2−i2i2i2002-200-2200-22−i2i2−i2−i2i2i2i2i2−i2−i20000000000i2−i2000
χ3122-2-22-22-20020-2-22000−i2−i2i2i200-22002-200-22−i2i2i2i2−i2−i2i2i2−i2−i20000000000−i2i2000
χ3222-2-22-22-20020-2-22000−i2−i2i2i200-2200-22002-2−i2i2i2i2−i2−i2−i2−i2i2i20000000000i2−i2000
χ332-22-222-2-222-2-22-22-2-220000000000000000002i−2i2i−2i0000002i−2i00002-200000
χ342-22-222-2-222-2-22-22-2-220000000000000000002i−2i2i−2i000000−2i2i0000-2200000
χ352-22-222-2-222-2-22-22-2-22000000000000000000−2i2i−2i2i0000002i−2i0000-2200000
χ362-22-222-2-222-2-22-22-2-22000000000000000000−2i2i−2i2i000000−2i2i00002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-404000-4004-44-40000000000000000000000000000000000000
χ394444-4-4-4-44-404000-400-44-440000000000000000000000000000000000000
χ404444-4-4-4-4-440-400040000000000000000000000002i2−2i22i2−2i2000000000000000
χ414444-4-4-4-4-440-40004000000000000000000000000−2i22i2−2i22i2000000000000000
χ4244-4-44-44-400-4044-40002i22i2−2i2−2i2000000000000−2i22i200000000000000000000000
χ4344-4-44-44-400-4044-4000−2i2−2i22i22i20000000000002i2−2i200000000000000000000000
χ4444-4-4-44-4400000000002i2−2i2−2i22i2000000002i2−2i2000000002-2-22000000000000000
χ4544-4-4-44-4400000000002i2−2i2−2i22i200000000−2i22i200000000-222-2000000000000000
χ4644-4-4-44-440000000000−2i22i22i2−2i2000000002i2−2i200000000-222-2000000000000000
χ4744-4-4-44-440000000000−2i22i22i2−2i200000000−2i22i2000000002-2-22000000000000000
χ484-44-444-4-4444-4-44-4-44-400000000000000000000000000000000000000000
χ494-44-444-4-4-4-444-44-44-4400000000000000000000000000000000000000000
χ504-44-444-4-4-4-4-444-4444-400000000000000000000000000000000000000000
χ514-44-4-4-4444-40-40004000000000000000000000000000000000022−220000000
χ524-44-4-4-4444-40-400040000000000000000000000000000000000−22220000000
χ534-44-4-4-444-4404000-400000000004i−4i0000000000000000000000000000000
χ544-44-4-4-444-4404000-40000000000−4i4i0000000000000000000000000000000
χ554-4-444-4-4400404-4-400000004i−4i00000000000000000000000000000000000
χ564-4-444-4-4400404-4-40000000−4i4i00000000000000000000000000000000000
χ574-4-444-4-4400-40-44400000000000000000000022−22−22220000000000000000000
χ584-4-444-4-4400-40-444000000000000000000000−222222−220000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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