Finite Group Databasebeta

← Group #348147

Character table — Group #348147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244888822444444488888822244444448888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-111-1-1-1-111-11-11-1-11-11-111-1-111-1-111-1-11111-1-111-1-1
χ611111111111111-1-11-1-111-1-1-1-111-11-11-1-11-11-111-1-111-1-111-1-1-1-1-1-111-1-111
χ711111111111111-1-11-1-111-1-1-1-111-1-11-11-1-11-11-1-11111-1-1-1-1111111-1-1-1-111
χ811111111111111-1-11-1-111-1-1-1-111-1-11-11-1-11-11-1-11111-1-1-1-111-1-1-1-11111-1-1
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
χ1111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-11-11
χ1211111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111-111-11-1
χ1311111111-1-1-1-111-1-11-1-1111111-1-1-11-11-1-11-11-1-1-111-1-111-1-11111-1-1-111-1-11
χ1411111111-1-1-1-111-1-11-1-1111111-1-1-11-11-1-11-11-1-1-111-1-111-1-111-1-1111-1-111-1
χ1511111111-1-1-1-111-1-11-1-1111111-1-1-1-11-11-1-11-1111-1-1-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1-1-111-1-11-1-1111111-1-1-1-11-11-1-11-1111-1-1-1-11111-1-1-1-1111-11-1-11
χ17222222222222-2-222222-2-2222222-20000-200000000-2-2-2-200000000000000
χ18222222222222-2-2-2-22-2-2-2-2-2-2-2-22220000200000000-2-22200000000000000
χ1922222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-20000-200000000222200000000000000
χ2022222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-22000020000000022-2-200000000000000
χ21222222-2-200002222-2-2-2-2-2000000-20000200002i−2i2i−2i00002i−2i2i−2i0000000000
χ22222222-2-200002222-2-2-2-2-2000000-2000020000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ23222222-2-2000022-2-2-222-2-200000020000-200002i−2i−2i2i00002i−2i−2i2i0000000000
χ24222222-2-2000022-2-2-222-2-200000020000-20000−2i2i2i−2i0000−2i2i2i−2i0000000000
χ25222222-2-20000-2-222-2-2-22200000022-2-22-2-222-20000000000000000000000
χ26222222-2-20000-2-222-2-2-2220000002-222-2-22-2-220000000000000000000000
χ27222222-2-20000-2-2-2-2-22222000000-222-2-22-2-2220000000000000000000000
χ28222222-2-20000-2-2-2-2-22222000000-2-2-222222-2-20000000000000000000000
χ292222-2-22222222-200-2002-20000-2-20020-20020-200-2-22-20000220000000000
χ302222-2-22222222-200-2002-20000-2-200-20200-20200222-20000-2-20000000000
χ312222-2-2222222-2200-200-220000-2-2020-20020-20-2-200-220022000000000000
χ322222-2-2222222-2200-200-220000-2-20-20200-20202200-2200-2-2000000000000
χ332222-2-222-2-2-2-22-200-2002-20000220020-20020-20022-220000-2-20000000000
χ342222-2-222-2-2-2-22-200-2002-200002200-20200-20200-2-2-220000220000000000
χ352222-2-222-2-2-2-2-2200-200-22000022020-20020-2022002-200-2-2000000000000
χ362222-2-222-2-2-2-2-2200-200-220000220-20200-2020-2-2002-20022000000000000
χ372222-2-2-2-200002-200200-222i2i−2i−2i00020200-20-20002i−2i002i−2i00−2i2i0000000000
χ382222-2-2-2-200002-200200-222i2i−2i−2i000-20-200202000−2i2i002i−2i002i−2i0000000000
χ392222-2-2-2-200002-200200-22−2i−2i2i2i00020200-20-2000−2i2i00−2i2i002i−2i0000000000
χ402222-2-2-2-200002-200200-22−2i−2i2i2i000-20-2002020002i−2i00−2i2i00−2i2i0000000000
χ412222-2-2-2-20000-22002002-22i2i−2i−2i000020200-20-2−2i2i0000−2i2i2i−2i000000000000
χ422222-2-2-2-20000-22002002-22i2i−2i−2i0000-20-2002022i−2i0000−2i2i−2i2i000000000000
χ432222-2-2-2-20000-22002002-2−2i−2i2i2i000020200-20-22i−2i00002i−2i−2i2i000000000000
χ442222-2-2-2-20000-22002002-2−2i−2i2i2i0000-20-200202−2i2i00002i−2i2i−2i000000000000
χ454-44-400-4444-4-400000000000000000000000000000000000002i−2i2i−2i000000
χ464-44-400-4444-4-40000000000000000000000000000000000000−2i2i−2i2i000000
χ474-44-400-44-4-44400000000000000000000000000000000000002i−2i−2i2i000000
χ484-44-400-44-4-4440000000000000000000000000000000000000−2i2i2i−2i000000
χ494-4-444-40022−2222−22004i−4i000002i2−2i22i2−2i222−2200000000000000000000000000000000
χ504-4-444-40022−2222−2200−4i4i00000−2i22i2−2i22i222−2200000000000000000000000000000000
χ514-4-444-400−2222−2222004i−4i00000−2i22i2−2i22i2−222200000000000000000000000000000000
χ524-4-444-400−2222−222200−4i4i000002i2−2i22i2−2i2−222200000000000000000000000000000000
χ534-4-44-440022−2222−22000004-40022−22−2222−222200000000000000000000000000000000
χ544-4-44-440022−2222−2200000-4400−222222−22−222200000000000000000000000000000000
χ554-4-44-4400−2222−2222000004-400−222222−2222−2200000000000000000000000000000000
χ564-4-44-4400−2222−222200000-440022−22−222222−2200000000000000000000000000000000
χ5788-8-8000042−42−424200000000000000000000000000000000000000000000000
χ5888-8-80000−424242−4200000000000000000000000000000000000000000000000
χ598-88-8008-8000000000000000000000000000000000000000000000000000

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