Finite Group Databasebeta

← Group #336244

Character table — Group #336244

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1111-1-1
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-111111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-11-1-11111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-111-1-11111-11-1
χ17222222222-2-2222-2-2-2-2000022-2-20022-2-2000000220000-200000000000000
χ18222222222-2-2222-2-2-2-2000022-2-200-2-222000000-2-20000200000000000000
χ19222222222-2-2222-2-2-2-20000-2-222002222000000-2-20000-200000000000000
χ20222222222-2-2222-2-2-2-20000-2-22200-2-2-2-2000000220000200000000000000
χ2122222222-222-2-2-222-2-222220000220000-2-20000000000000-2-22000000000
χ2222222222-222-2-2-222-2-222220000-2-20000-2-2000000000000022-2000000000
χ2322222222-222-2-2-222-2-2-2-2-2-20000220000220000000000000-22-2000000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000-2-200002200000000000002-22000000000
χ2522-22-2-2-22-200-222000022−2−2002i−2i002-22i−2i2−2i2i2−i2−i200i2i2−i2−i2000000002−200000
χ2622-22-2-2-22-200-222000022−2−2002i−2i00-22−2i2i2−2i2i2−i2−i200−i2−i2i2i200000000−2200000
χ2722-22-2-2-22-200-222000022−2−200−2i2i002-2−2i2i2−2−i2−i2i2i200−i2−i2i2i2000000002−200000
χ2822-22-2-2-22-200-222000022−2−200−2i2i00-222i−2i2−2−i2−i2i2i200i2i2−i2−i200000000−2200000
χ2922-22-2-2-22-200-2220000−2−222002i−2i002-22i−2i−22−i2−i2i2i200−i2−i2i2i200000000−2200000
χ3022-22-2-2-22-200-2220000−2−222002i−2i00-22−2i2i−22−i2−i2i2i200i2i2−i2−i2000000002−200000
χ3122-22-2-2-22-200-2220000−2−22200−2i2i002-2−2i2i−22i2i2−i2−i200i2i2−i2−i200000000−2200000
χ3222-22-2-2-22-200-2220000−2−22200−2i2i00-222i−2i−22i2i2−i2−i200−i2−i2i2i2000000002−200000
χ332-2-22-222-2-2222-22-2-2-2200000000000000002i−2i2i−2i00000002i−2i00000002-2000
χ342-2-22-222-2-2222-22-2-2-2200000000000000002i−2i2i−2i0000000−2i2i0000000-22000
χ352-2-22-222-2-2222-22-2-2-220000000000000000−2i2i−2i2i00000002i−2i0000000-22000
χ362-2-22-222-2-2222-22-2-2-220000000000000000−2i2i−2i2i0000000−2i2i00000002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-404-40004-400000000004-40000000000000000000000000000000
χ39444-4-4-44-404-40004-40000000000-440000000000000000000000000000000
χ40444-4-4-44-40-44000-44000000000000000000000000000000000022−220000000
χ41444-4-4-44-40-44000-440000000000000000000000000000000000−22220000000
χ4244-44-4-4-444004-4-400002222−22−220000000000−22220000000000000000000000000
χ4344-44-4-4-444004-4-40000−22−222222000000000022−220000000000000000000000000
χ444-4444-4-4-4400-4-440000000000000000000022−22−2222000000000000000000000
χ454-4444-4-4-4400-4-4400000000000000000000−222222−22000000000000000000000
χ464-4444-4-4-4-40044-4000000004-400000000000000000000000000000000000
χ474-4444-4-4-4-40044-400000000-4400000000000000000000000000000000000
χ484-44-4-44-44000000000022−2222−2200000000000000002i2−2i22i−2i2i−2i000000000000000
χ494-44-4-44-44000000000022−2222−220000000000000000−2i22i2−2i2i−2i2i000000000000000
χ504-44-4-44-440000000000−2222−222200000000000000002i2−2i2−2i2i−2i2i000000000000000
χ514-44-4-44-440000000000−2222−22220000000000000000−2i22i22i−2i2i−2i000000000000000
χ524-4-44-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ534-4-44-444-44-4-4-44-444-4400000000000000000000000000000000000000000
χ544-4-44-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-4-44-44404-4000-4400000000000000000000000022−22−2222000000000000000
χ564-4-4-44-44404-4000-44000000000000000000000000−222222−22000000000000000
χ574-4-4-44-4440-440004-4004-4-440000000000000000000000000000000000000
χ584-4-4-44-4440-440004-400-444-40000000000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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