Finite Group Databasebeta

← Group #348141

Character table — Group #348141

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244888822444444488888822244444448888888888882222448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111-1-1-1-111-11-111-1-1-11-111-1-111-1-111-1-11111-1-111-1-1
χ611111111111111-1-1-1-1111-1-1-1-111-11-111-1-1-11-111-1-111-1-111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1111-1-1-1-111-1-11-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1111-1-1-1-111-1-11-1-111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1
χ911111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ1111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-11-1-11-11
χ1211111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-11111-1-111-111-11-1
χ1311111111-1-1-1-111-1-1-1-11111111-1-1-11-111-1-1-11-1-1-111-1-111-1-11111-1-1-111-1-11
χ1411111111-1-1-1-111-1-1-1-11111111-1-1-11-111-1-1-11-1-1-111-1-111-1-111-1-1111-1-111-1
χ1511111111-1-1-1-111-1-1-1-11111111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1-1-111-1-1-1-11111111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1111-11-1-11
χ17222222222222-2-222222-2-2222222-2000000-2000000-2-2-2-200000000000000
χ18222222222222-2-2-2-2-2-22-2-2-2-2-2-22220000002000000-2-22200000000000000
χ1922222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2000000-2000000222200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22-2-22222-2-22000000200000022-2-200000000000000
χ21222222-2-200002222-2-2-2-2-20000002000000-2002i−2i2i−2i00002i−2i2i−2i0000000000
χ22222222-2-200002222-2-2-2-2-20000002000000-200−2i2i−2i2i0000−2i2i−2i2i0000000000
χ23222222-2-2000022-2-222-2-2-2000000-20000002002i−2i−2i2i00002i−2i−2i2i0000000000
χ24222222-2-2000022-2-222-2-2-2000000-2000000200−2i2i2i−2i0000−2i2i2i−2i0000000000
χ25222222-2-20000-2-222-2-2-222000000-2222-22-22-2-20000000000000000000000
χ26222222-2-20000-2-222-2-2-222000000-2-2-2-22-222220000000000000000000000
χ27222222-2-20000-2-2-2-222-22200000022-22-2-22-2-220000000000000000000000
χ28222222-2-20000-2-2-2-222-2220000002-22-222-2-22-20000000000000000000000
χ292222-2-22222222-20000-22-20000-2-200200-2-200200-2-22-20000220000000000
χ302222-2-22222222-20000-22-20000-2-200-2002200-200222-20000-2-20000000000
χ312222-2-2222222-220000-2-220000-2-2020-2-200020-2-200-220022000000000000
χ322222-2-2222222-220000-2-220000-2-20-2022000-202200-2200-2-2000000000000
χ332222-2-222-2-2-2-22-20000-22-200002200200-2-20020022-220000-2-20000000000
χ342222-2-222-2-2-2-22-20000-22-200002200-2002200-200-2-2-220000220000000000
χ352222-2-222-2-2-2-2-220000-2-22000022020-2-20002022002-200-2-2000000000000
χ362222-2-222-2-2-2-2-220000-2-220000220-2022000-20-2-2002-20022000000000000
χ372222-2-2-2-200002-200002-222i2i−2i−2i00020-22000-20002i−2i002i−2i00−2i2i0000000000
χ382222-2-2-2-200002-200002-222i2i−2i−2i000-202-20002000−2i2i002i−2i002i−2i0000000000
χ392222-2-2-2-200002-200002-22−2i−2i2i2i00020-22000-2000−2i2i00−2i2i002i−2i0000000000
χ402222-2-2-2-200002-200002-22−2i−2i2i2i000-202-200020002i−2i00−2i2i00−2i2i0000000000
χ412222-2-2-2-20000-22000022-22i2i−2i−2i0000200-2200-22i−2i0000−2i2i−2i2i000000000000
χ422222-2-2-2-20000-22000022-22i2i−2i−2i0000-2002-2002−2i2i0000−2i2i2i−2i000000000000
χ432222-2-2-2-20000-22000022-2−2i−2i2i2i0000200-2200-2−2i2i00002i−2i2i−2i000000000000
χ442222-2-2-2-20000-22000022-2−2i−2i2i2i0000-2002-20022i−2i00002i−2i−2i2i000000000000
χ4544-4-44-4002222−22−2200004i−4i0002i2−2i22i2−2i222−2200000000000000000000000000000000
χ4644-4-44-4002222−22−220000−4i4i000−2i22i2−2i22i222−2200000000000000000000000000000000
χ4744-4-44-400−22−22222200004i−4i000−2i22i2−2i22i2−222200000000000000000000000000000000
χ4844-4-44-400−22−2222220000−4i4i0002i2−2i22i2−2i2−222200000000000000000000000000000000
χ4944-4-4-44002222−22−22004-40000022−22−2222−222200000000000000000000000000000000
χ5044-4-4-44002222−22−2200-4400000−222222−22−222200000000000000000000000000000000
χ5144-4-4-4400−22−222222004-400000−222222−2222−2200000000000000000000000000000000
χ5244-4-4-4400−22−22222200-440000022−22−222222−2200000000000000000000000000000000
χ534-4-4400-444-44-400000000000000000000000000000000000002-22-2000000
χ544-4-4400-444-44-40000000000000000000000000000000000000-22-22000000
χ554-4-4400-44-44-4400000000000000000000000000000000000002-2-22000000
χ564-4-4400-44-44-440000000000000000000000000000000000000-222-2000000
χ578-88-8000042−42−424200000000000000000000000000000000000000000000000
χ588-88-80000−424242−4200000000000000000000000000000000000000000000000
χ598-8-88008-8000000000000000000000000000000000000000000000000000

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