Finite Group Databasebeta

← Group #336264

Character table — Group #336264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ51111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11-111111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11111-1
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-11-1111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-111-1-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-11-111-1-11111-1-11
χ17222222222-2-2222-2-2-2-200002222-2-20022000000-2-20000000-200000000000
χ18222222222-2-2222-2-2-2-2000022-2-2-2-200-2-2000000220000000200000000000
χ19222222222-2-2222-2-2-2-20000-2-2222200-2-2000000220000000-200000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-2220022000000-2-20000000200000000000
χ2122222222-222-2-2-222-2-222220000002200-2-20000000000-2-22000000000000
χ2222222222-222-2-2-222-2-22222000000-2-200-2-2000000000022-2000000000000
χ2322222222-222-2-2-222-2-2-2-2-2-200000022002200000000002-2-2000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2000000-2-200220000000000-222000000000000
χ2522-22-2-2-22200-2-220000i2i2−i2−i2002i−2i2i−2i0000i2−i222−2−22-2i2i2−i2−i2000000002−200000
χ2622-22-2-2-22200-2-220000i2i2−i2−i2002i−2i−2i2i0000i2−i2−2−222-22−i2−i2i2i2000000002−200000
χ2722-22-2-2-22200-2-220000i2i2−i2−i200−2i2i2i−2i0000i2−i222−2−2-22−i2−i2i2i200000000−2200000
χ2822-22-2-2-22200-2-220000i2i2−i2−i200−2i2i−2i2i0000i2−i2−2−2222-2i2i2−i2−i200000000−2200000
χ2922-22-2-2-22200-2-220000−i2−i2i2i2002i−2i2i−2i0000−i2i2−2−2222-2−i2−i2i2i200000000−2200000
χ3022-22-2-2-22200-2-220000−i2−i2i2i2002i−2i−2i2i0000−i2i222−2−2-22i2i2−i2−i200000000−2200000
χ3122-22-2-2-22200-2-220000−i2−i2i2i200−2i2i2i−2i0000−i2i2−2−222-22i2i2−i2−i2000000002−200000
χ3222-22-2-2-22200-2-220000−i2−i2i2i200−2i2i−2i2i0000−i2i222−2−22-2−i2−i2i2i2000000002−200000
χ332-2-222-22-2-2222-22-2-2-2200000000000000002i−2i2i−2i00000000002i−2i00002-2000
χ342-2-222-22-2-2222-22-2-2-2200000000000000002i−2i2i−2i0000000000−2i2i0000-22000
χ352-2-222-22-2-2222-22-2-2-220000000000000000−2i2i−2i2i00000000002i−2i0000-22000
χ362-2-222-22-2-2222-22-2-2-220000000000000000−2i2i−2i2i0000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4000000000022−2222−220000000022−22000000002-22-2000000000000000
χ39444-44-4-4-4000000000022−2222−2200000000−222200000000-22-22000000000000000
χ40444-44-4-4-40000000000−2222−22220000000022−2200000000-22-22000000000000000
χ41444-44-4-4-40000000000−2222−222200000000−2222000000002-22-2000000000000000
χ4244-44-4-4-44-40044-400002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ4344-44-4-4-44-40044-40000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ4444-4-4-444-404-40004-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-4-4-444-404-40004-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-4-444-40-44000-44004i−4i−4i4i0000000000000000000000000000000000000
χ4744-4-4-444-40-44000-4400−4i4i4i−4i0000000000000000000000000000000000000
χ484-444-44-4-44004-4-4000000004-400000000000000000000000000000000000
χ494-444-44-4-44004-4-400000000-4400000000000000000000000000000000000
χ504-444-44-4-4-400-444000000000000000000002i2−2i2−2i22i2000000000000000000000
χ514-444-44-4-4-400-44400000000000000000000−2i22i22i2−2i2000000000000000000000
χ524-44-4-4-44404-4000-440000000000004-400000000000000000000000000000
χ534-44-4-4-44404-4000-44000000000000-4400000000000000000000000000000
χ544-44-4-4-4440-440004-4000000000000000000000000000000000022−220000000
χ554-44-4-4-4440-440004-40000000000000000000000000000000000−22220000000
χ564-4-444-44-4444-44-4-4-44-400000000000000000000000000000000000000000
χ574-4-444-44-44-4-4-44-444-4400000000000000000000000000000000000000000
χ584-4-444-44-4-4-4-44-44444-400000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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