Finite Group Databasebeta

← Group #348607

Character table — Group #348607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882444444444888888888888888228888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1111-1-111-1
χ911111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111
χ1011111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111111-1-1-1-1
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-11111
χ1311111111111-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1111111-1-1-11-111-1
χ1411111111111-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-11111-1-1111-11-1-11
χ1511111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-1-1-111-1-11-1-11-11
χ1611111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-1-1-1-1-111-111-11-1
χ172222222-22-2-222-2-2-2-2200000000002-22-22-222-2-2000000000000000000000
χ182222222-22-2-222-2-2-2-220000000000-222-2-22-2-222000000000000000000000
χ192222222-22-2-2-2-222-2-2200000000002-2-222-2-2-222000000000000000000000
χ202222222-22-2-2-2-222-2-220000000000-22-22-2222-2-2000000000000000000000
χ2122222-2-2222-222222-2-222-2-222222200-2-2000000-2-200-20000000000000000
χ2222222-2-2222-222222-2-2-2-222-2-2-2-2-2-200-2-2000000220020000000000000000
χ2322222-2-2222-2-2-2-2-22-2-222-2-222-2-2-2-200220000002200-20000000000000000
χ2422222-2-2222-2-2-2-2-22-2-2-2-222-2-222220022000000-2-20020000000000000000
χ2522222-2-2-22-2222-2-2-22-2000000000000-22000000002i−2i02i−2i2i2i−2i−2i0000000000
χ2622222-2-2-22-2222-2-2-22-2000000000000-2200000000−2i2i0−2i2i−2i−2i2i2i0000000000
χ2722222-2-2-22-22-2-222-22-20000000000002-2000000002i−2i02i−2i−2i−2i2i2i0000000000
χ2822222-2-2-22-22-2-222-22-20000000000002-200000000−2i2i0−2i2i2i2i−2i−2i0000000000
χ292222-2222-22-20000-22-222-2-2-2-200002200-2-2000000-2-222200000000000000
χ302222-2222-22-20000-22-222-2-2-2-20000-2-20022000000222-2-200000000000000
χ312222-2222-22-20000-22-2-2-2222200002200-2-200000022-2-2-200000000000000
χ322222-2222-22-20000-22-2-2-222220000-2-20022000000-2-2-22200000000000000
χ332222-222-2-2-2200002-2-20000002i2i−2i−2i2-200-2200002i−2i000002i−2i2i−2i0000000000
χ342222-222-2-2-2200002-2-20000002i2i−2i−2i-22002-200002i−2i00000−2i2i−2i2i0000000000
χ352222-222-2-2-2200002-2-2000000−2i−2i2i2i2-200-220000−2i2i00000−2i2i−2i2i0000000000
χ362222-222-2-2-2200002-2-2000000−2i−2i2i2i-22002-20000−2i2i000002i−2i2i−2i0000000000
χ372222-2-2-22-2220000-2-222222-2-200000000002-22-20000-2002-2-220000000000
χ382222-2-2-22-2220000-2-222222-2-20000000000-22-220000-200-222-20000000000
χ392222-2-2-22-2220000-2-22-2-2-2-22200000000002-22-20000200-222-20000000000
χ402222-2-2-22-2220000-2-22-2-2-2-2220000000000-22-2200002002-2-220000000000
χ412222-2-2-2-2-2-2-200002220000002i2i−2i−2i0000002-2-22−2i2i−2i2i02i−2i00000000000000
χ422222-2-2-2-2-2-2-200002220000002i2i−2i−2i000000-222-2−2i2i2i−2i0−2i2i00000000000000
χ432222-2-2-2-2-2-2-20000222000000−2i−2i2i2i0000002-2-222i−2i2i−2i0−2i2i00000000000000
χ442222-2-2-2-2-2-2-20000222000000−2i−2i2i2i000000-222-22i−2i−2i2i02i−2i00000000000000
χ4544-4-400040-400000000004-40000000000000000000000000002i−2i2i−2i000000
χ4644-4-400040-400000000004-4000000000000000000000000000−2i2i−2i2i000000
χ4744-4-400040-40000000000-440000000000000000000000000002i−2i−2i2i000000
χ4844-4-400040-40000000000-44000000000000000000000000000−2i2i2i−2i000000
χ494-44-44000-400004i−4i00022−220022−222i2−2i22i2−2i20000000000000000000000000000000
χ504-44-44000-400004i−4i000−222200−2222−2i22i2−2i22i20000000000000000000000000000000
χ514-44-44000-40000−4i4i00022−220022−22−2i22i2−2i22i20000000000000000000000000000000
χ524-44-44000-40000−4i4i000−222200−22222i2−2i22i2−2i20000000000000000000000000000000
χ534-44-4-40004004-40000022−2200−222222−22−22220000000000000000000000000000000
χ544-44-4-40004004-400000−22220022−22−222222−220000000000000000000000000000000
χ554-44-4-4000400-440000022−2200−2222−222222−220000000000000000000000000000000
χ564-44-4-4000400-4400000−22220022−2222−22−22220000000000000000000000000000000
χ5788-8-8000-8080000000000000000000000000000000000000000000000000
χ588-8-8808-80000000000000000000000000000000000000000000000000000
χ598-8-880-880000000000000000000000000000000000000000000000000000

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