Finite Group Databasebeta

← Group #339331

Character table — Group #339331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1111-1-1
χ17222222222-22-2-222-2-2-2222222000000-2-2000000000000-2-22000000000000
χ18222222222-22-2-222-2-2-22222-2-2000000-2-200000000000022-2000000000000
χ19222222222-22-2-222-2-2-2-2-2-2-22200000022000000000000-22-2000000000000
χ20222222222-22-2-222-2-2-2-2-2-2-2-2-2000000220000000000002-22000000000000
χ2122222222-22-222-2-22-2-200000022-2-2220022-2-200000000000-200000000000
χ2222222222-22-222-2-22-2-200000022-2-2-2-200-2-22200000000000200000000000
χ2322222222-22-222-2-22-2-2000000-2-2222200-2-22200000000000-200000000000
χ2422222222-22-222-2-22-2-2000000-2-222-2-20022-2-200000000000200000000000
χ25222-22-2-2-2-222-2-2-222-220000000000000000002i2i−2i−2i000000002i−2i00002-2000
χ26222-22-2-2-2-222-2-2-222-220000000000000000002i2i−2i−2i00000000−2i2i0000-22000
χ27222-22-2-2-2-222-2-2-222-22000000000000000000−2i−2i2i2i000000002i−2i0000-22000
χ28222-22-2-2-2-222-2-2-222-22000000000000000000−2i−2i2i2i00000000−2i2i00002-2000
χ292-2-2-2222-20202-200-20022−2−200002-22i−2i2−2002i−2i2−22−2i2i2−i2−i2000000i2−i20000000
χ302-2-2-2222-20202-200-20022−2−200002-2−2i2i2−200−2i2i2−22−2−i2−i2i2i2000000−i2i20000000
χ312-2-2-2222-20202-200-20022−2−20000-222i−2i2−200−2i2i−22−22−i2−i2i2i2000000i2−i20000000
χ322-2-2-2222-20202-200-20022−2−20000-22−2i2i2−2002i−2i−22−22i2i2−i2−i2000000−i2i20000000
χ332-2-2-2222-20202-200-200−2−22200002-22i−2i−22002i−2i−22−22−i2−i2i2i2000000−i2i20000000
χ342-2-2-2222-20202-200-200−2−22200002-2−2i2i−2200−2i2i−22−22i2i2−i2−i2000000i2−i20000000
χ352-2-2-2222-20202-200-200−2−2220000-222i−2i−2200−2i2i2−22−2i2i2−i2−i2000000−i2i20000000
χ362-2-2-2222-20202-200-200−2−2220000-22−2i2i−22002i−2i2−22−2−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ39444-44-4-4-44-4-4444-4-4-4400000000000000000000000000000000000000000
χ40444-44-4-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ4144-44-44-4-440400-4-400000004-400000000000000000000000000000000000
χ4244-44-44-4-440400-4-40000000-4400000000000000000000000000000000000
χ4344-44-44-4-4-40-4004400000000000000000000000000000000000002i2−2i200000
χ4444-44-44-4-4-40-400440000000000000000000000000000000000000−2i22i200000
χ4544-4-4-4-44440-400-440004-44-40000000000000000000000000000000000000
χ4644-4-4-4-44440-400-44000-44-440000000000000000000000000000000000000
χ4744-4-4-4-444-404004-4000000000000000000000000022−2222−22000000000000000
χ4844-4-4-4-444-404004-40000000000000000000000000−2222−2222000000000000000
χ494-444-4-44-4000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ504-444-4-44-4000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ514-444-4-44-40000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ524-444-4-44-40000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ534-4-444-4-44040-4400-4000000000000000000002i2−2i2−2i22i20000000000000000000
χ544-4-444-4-44040-4400-400000000000000000000−2i22i22i2−2i20000000000000000000
χ554-4-444-4-440-404-4004000000004-4000000000000000000000000000000000
χ564-4-444-4-440-404-400400000000-44000000000000000000000000000000000
χ574-4-4-4444-40-40-44004002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-4444-40-40-4400400−22−2222220000000022−22000000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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