Finite Group Databasebeta

← Group #139593

Character table — Group #139593

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order122222448888224444444888888248888161616161616161616161616161616164444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111111111-1-11-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-11-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ811111111111111-1-11-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ1011111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ1211111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ1311111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ1411111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ1511111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ1611111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ17222222222222-2-222222-2-2222222-2-2-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-22-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000
χ1922222222-2-2-2-2222222222-2-2-2-2-2-222-2-2-2-200000000000000000000000000
χ2022222222-2-2-2-222-2-22-2-2222222-2-2-2-2-2-22200000000000000000000000000
χ21222222-2-200002222-2-2-2-2-20000002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000
χ22222222-2-200002222-2-2-2-2-20000002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000
χ23222222-2-2000022-2-2-222-2-2000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000
χ24222222-2-2000022-2-2-222-2-2000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000
χ25222222-2-20000-2-222-2-2-222000000-22000022−2−2−2−22222−2−2−2−2220000000000
χ26222222-2-20000-2-222-2-2-222000000-220000−2−22222−2−2−2−22222−2−20000000000
χ27222222-2-20000-2-2-2-2-222220000002-2000022−2−2−2−222−2−22222−2−20000000000
χ28222222-2-20000-2-2-2-2-222220000002-20000−2−22222−2−222−2−2−2−2220000000000
χ292222-2-22222222-200-2002-20000-2-2002-200000000002-22-22-22-20000000000
χ302222-2-22222222-200-2002-20000-2-2002-20000000000-22-22-22-220000000000
χ312222-2-2222222-2200-200-220000-2-200-22002-22-22-22-2000000000000000000
χ322222-2-2222222-2200-200-220000-2-200-2200-22-22-22-22000000000000000000
χ332222-2-222-2-2-2-22-200-2002-200002200-22002i−2i2i−2i−2i2i−2i2i000000000000000000
χ342222-2-222-2-2-2-22-200-2002-200002200-2200−2i2i−2i2i2i−2i2i−2i000000000000000000
χ352222-2-222-2-2-2-2-2200-200-22000022002-200000000002i−2i2i−2i−2i2i−2i2i0000000000
χ362222-2-222-2-2-2-2-2200-200-22000022002-20000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ372222-2-2-2-200002-200200-222i2i−2i−2i0000002i−2i2−2−22−222−2i2−i2−i2i2i2−i2−i2i20000000000
χ382222-2-2-2-200002-200200-222i2i−2i−2i0000002i−2i−222−22−2−22−i2i2i2−i2−i2i2i2−i20000000000
χ392222-2-2-2-200002-200200-22−2i−2i2i2i000000−2i2i2−2−22−222−2−i2i2i2−i2−i2i2i2−i20000000000
χ402222-2-2-2-200002-200200-22−2i−2i2i2i000000−2i2i−222−22−2−22i2−i2−i2i2i2−i2−i2i20000000000
χ412222-2-2-2-20000-22002002-22i2i−2i−2i000000−2i2ii2−i2−i2i2i2−i2−i2i22−2−22−222−20000000000
χ422222-2-2-2-20000-22002002-22i2i−2i−2i000000−2i2i−i2i2i2−i2−i2i2i2−i2−222−22−2−220000000000
χ432222-2-2-2-20000-22002002-2−2i−2i2i2i0000002i−2ii2−i2−i2i2i2−i2−i2i2−222−22−2−220000000000
χ442222-2-2-2-20000-22002002-2−2i−2i2i2i0000002i−2i−i2i2i2−i2−i2i2i2−i22−2−22−222−20000000000
χ4544-4-44-4002222−22−22004-40000022−2222−2222−2200000000000000000000000000000000
χ4644-4-44-4002222−22−2200-4400000−2222−222222−2200000000000000000000000000000000
χ4744-4-44-400−22−222222004-400000−2222−2222−222200000000000000000000000000000000
χ4844-4-44-400−22−22222200-440000022−2222−22−222200000000000000000000000000000000
χ4944-4-4-44002222−22−22000004i−4i002i2−2i2−2i22i2−222200000000000000000000000000000000
χ5044-4-4-44002222−22−2200000−4i4i00−2i22i22i2−2i2−222200000000000000000000000000000000
χ5144-4-4-4400−22−222222000004i−4i00−2i22i22i2−2i222−2200000000000000000000000000000000
χ5244-4-4-4400−22−22222200000−4i4i002i2−2i2−2i22i222−2200000000000000000000000000000000
χ534-44-400-444-44-400000000000000000000000000000000000002i−2i2i−2i000000
χ544-44-400-444-44-40000000000000000000000000000000000000−2i2i−2i2i000000
χ554-44-400-44-44-4400000000000000000000000000000000000002i−2i−2i2i000000
χ564-44-400-44-44-440000000000000000000000000000000000000−2i2i2i−2i000000
χ578-88-8008-8000000000000000000000000000000000000000000000000000
χ588-8-88000042−42−424200000000000000000000000000000000000000000000000
χ598-8-880000−424242−4200000000000000000000000000000000000000000000000

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