Finite Group Databasebeta

← Group #338984

Character table — Group #338984

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ51111111111111111111111-1-111111111-1-1-1-11111-1-1-1-111-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111111-11-1-11111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1111-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1111-1-1
χ17222222222-222-2-2-22-2-2222200002200-2-2000000000000-220-200000000000
χ18222222222-222-2-2-22-2-222220000-2-200-2-20000000000002-20200000000000
χ19222222222-222-2-2-22-2-2-2-2-2-200002200220000000000002-20-200000000000
χ20222222222-222-2-2-22-2-2-2-2-2-20000-2-20022000000000000-220200000000000
χ2122222222-22-2-2222-2-2-20000222200-2-20022-2-20000000000-2000000000000
χ2222222222-22-2-2222-2-2-2000022-2-2002200-2-2220000000000-2000000000000
χ2322222222-22-2-2222-2-2-20000-2-22200-2-200-2-22200000000002000000000000
χ2422222222-22-2-2222-2-2-20000-2-2-2-200220022-2-200000000002000000000000
χ25222-2-2-22-22-2-2-22-222-2200000000000000000022-2-2000000002i−2i2i−2i0000000
χ26222-2-2-22-22-2-2-22-222-2200000000000000000022-2-200000000−2i2i−2i2i0000000
χ27222-2-2-22-22-2-2-22-222-22000000000000000000-2-222000000002i−2i−2i2i0000000
χ28222-2-2-22-22-2-2-22-222-22000000000000000000-2-22200000000−2i2i2i−2i0000000
χ292-22-22-2-220200-2-22000i2i2−i2−i22-200002-2i2−i2002-2i2−i2i2−i2i2i2−i2−i20000000000i2−i2000
χ302-22-22-2-220200-2-22000i2i2−i2−i22-20000-22i2−i200-22−i2i2−i2i2−i2−i2i2i20000000000i2−i2000
χ312-22-22-2-220200-2-22000i2i2−i2−i2-2200002-2i2−i200-22i2−i2i2−i2−i2−i2i2i20000000000−i2i2000
χ322-22-22-2-220200-2-22000i2i2−i2−i2-220000-22i2−i2002-2−i2i2−i2i2i2i2−i2−i20000000000−i2i2000
χ332-22-22-2-220200-2-22000−i2−i2i2i22-200002-2−i2i2002-2−i2i2−i2i2−i2−i2i2i20000000000−i2i2000
χ342-22-22-2-220200-2-22000−i2−i2i2i22-20000-22−i2i200-22i2−i2i2−i2i2i2−i2−i20000000000−i2i2000
χ352-22-22-2-220200-2-22000−i2−i2i2i2-2200002-2−i2i200-22−i2i2−i2i2i2i2−i2−i20000000000i2−i2000
χ362-22-22-2-220200-2-22000−i2−i2i2i2-220000-22−i2i2002-2i2−i2i2−i2−i2−i2i2i20000000000i2−i2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-444-4-4-44-444-400000000000000000000000000000000000000000
χ39444-4-4-44-4-4444-44-4-4-4400000000000000000000000000000000000000000
χ40444-4-4-44-4-4-4444-44-44-400000000000000000000000000000000000000000
χ4144-44-4-4-44404-4000-400000000000000000000000000000000000022−2200000
χ4244-44-4-4-44404-4000-4000000000000000000000000000000000000−222200000
χ4344-44-4-4-44-40-44000400000000004i−4i0000000000000000000000000000000
χ4444-44-4-4-44-40-4400040000000000−4i4i0000000000000000000000000000000
χ4544-4-444-4-440-44000-4004-44-40000000000000000000000000000000000000
χ4644-4-444-4-440-44000-400-44-440000000000000000000000000000000000000
χ4744-4-444-4-4-404-400040000000000000000000000002i2−2i22i2−2i2000000000000000
χ4844-4-444-4-4-404-40004000000000000000000000000−2i22i2−2i22i2000000000000000
χ494-444-44-4-404004-4-40000000004-4000000000000000000000000000000000
χ504-444-44-4-404004-4-4000000000-44000000000000000000000000000000000
χ514-444-44-4-40-400-4440000000000000000000002i2−2i2−2i22i20000000000000000000
χ524-444-44-4-40-400-444000000000000000000000−2i22i22i2−2i20000000000000000000
χ534-44-44-4-440-40044-40002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ544-44-44-4-440-40044-4000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ554-4-444-44-400000000002i2−2i2−2i22i200000000002i2−2i20000002-2-22000000000000000
χ564-4-444-44-400000000002i2−2i2−2i22i20000000000−2i22i2000000-222-2000000000000000
χ574-4-444-44-40000000000−2i22i22i2−2i200000000002i2−2i2000000-222-2000000000000000
χ584-4-444-44-40000000000−2i22i22i2−2i20000000000−2i22i20000002-2-22000000000000000
χ598-8-8-8-8888000000000000000000000000000000000000000000000000000

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