Finite Group Databasebeta

← Group #339012

Character table — Group #339012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111
χ71111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11-1111-1-111-1-1-11-1
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1-11111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-111-1-111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1111111-1-1-1-11
χ17222222222-2-22-2-222-2-20000002222-2-200220000-2-200000-20000000000000
χ18222222222-2-22-2-222-2-200000022-2-22200-2-200002200000-20000000000000
χ19222222222-2-22-2-222-2-2000000-2-222-2-200-2-20000220000020000000000000
χ20222222222-2-22-2-222-2-2000000-2-2-2-22200220000-2-20000020000000000000
χ2122222222-222-222-2-2-2-2222222000000-2-200000000000020-2-200000000000
χ2222222222-222-222-2-2-2-22222-2-2000000-2-2000000000000-202200000000000
χ2322222222-222-222-2-2-2-2-2-2-2-22200000022000000000000-202-200000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2-2-20000002200000000000020-2200000000000
χ2522-2-222-2-2-2-2-2222-22-22000000000000000022-2-200000000002i−2i002i−2i00000
χ2622-2-222-2-2-2-2-2222-22-22000000000000000022-2-20000000000−2i2i00−2i2i00000
χ2722-2-222-2-2-2-2-2222-22-220000000000000000-2-22200000000002i−2i00−2i2i00000
χ2822-2-222-2-2-2-2-2222-22-220000000000000000-2-2220000000000−2i2i002i−2i00000
χ292-22-22-22-2-2002002-200i2i2−i2−i2002-22-200i2−i22-2i2−i2i2−i200i2i2−i2−i2000000i2−i20000000
χ302-22-22-22-2-2002002-200i2i2−i2−i2002-2-2200i2−i2-22−i2i2−i2i200−i2−i2i2i2000000i2−i20000000
χ312-22-22-22-2-2002002-200i2i2−i2−i200-222-200i2−i2-22i2−i2i2−i200−i2−i2i2i2000000−i2i20000000
χ322-22-22-22-2-2002002-200i2i2−i2−i200-22-2200i2−i22-2−i2i2−i2i200i2i2−i2−i2000000−i2i20000000
χ332-22-22-22-2-2002002-200−i2−i2i2i2002-22-200−i2i22-2−i2i2−i2i200−i2−i2i2i2000000−i2i20000000
χ342-22-22-22-2-2002002-200−i2−i2i2i2002-2-2200−i2i2-22i2−i2i2−i200i2i2−i2−i2000000−i2i20000000
χ352-22-22-22-2-2002002-200−i2−i2i2i200-222-200−i2i2-22−i2i2−i2i200i2i2−i2−i2000000i2−i20000000
χ362-22-22-22-2-2002002-200−i2−i2i2i200-22-2200−i2i22-2i2−i2i2−i200−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-404-404-4000000004-400000000000000000000000000000000000
χ394444-4-4-4-404-404-400000000-4400000000000000000000000000000000000
χ404444-4-4-4-40-440-44000000000000000000000000000000000000000022−22000
χ414444-4-4-4-40-440-440000000000000000000000000000000000000000−2222000
χ4244-4-444-4-4444-4-4-44-4-4400000000000000000000000000000000000000000
χ4344-4-444-4-44-4-4-4444-44-400000000000000000000000000000000000000000
χ4444-4-444-4-4-4444-4-4-444-400000000000000000000000000000000000000000
χ4544-4-4-4-44404-40-4400004-44-40000000000000000000000000000000000000
χ4644-4-4-4-44404-40-440000-44-440000000000000000000000000000000000000
χ4744-4-4-4-4440-4404-40000000000000000000000000022−2222−22000000000000000
χ4844-4-4-4-4440-4404-400000000000000000000000000−2222−2222000000000000000
χ494-44-44-44-4400-400-44002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ504-44-44-44-4400-400-4400−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ514-4-444-4-44400400-4-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ524-4-444-4-44400400-4-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ534-4-444-4-44-400-400440000000000004-400000000000000000000000000000
χ544-4-444-4-44-400-40044000000000000-4400000000000000000000000000000
χ554-4-44-444-400000000002i2−2i2−2i22i2000000000000000022−222i−2i−2i2i000000000000000
χ564-4-44-444-400000000002i2−2i2−2i22i20000000000000000−2222−2i2i2i−2i000000000000000
χ574-4-44-444-40000000000−2i22i22i2−2i2000000000000000022−22−2i2i2i−2i000000000000000
χ584-4-44-444-40000000000−2i22i22i2−2i20000000000000000−22222i−2i−2i2i000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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