Finite Group Databasebeta

← Group #348629

Character table — Group #348629

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882244444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1111111-1-1111-1-111-1
χ9111111111111-1-11-1-111111-1-1-1-111-11-111-1-11-1-1111-1-111-1-1-1-11111-1-1-1-111
χ10111111111111-1-11-1-111111-1-1-1-111-11-111-1-11-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1
χ11111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-111-111-1-11-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-111-111-1-11-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111-1-11-1-11-1-1-1-11111-1-1-11-111-1-11-1-1-1-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-11-1-11-1-1-1-11111-1-1-11-111-1-11-1-1-1-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-11111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-11111-1-1-1-1-1-111-111-11-1
χ1722222222-2-2-2-222-2-2-220000000000-222-2222-2-2-2000000000000000000000
χ1822222222-2-2-2-222-2-2-220000000000-2-222-2-2-2222000000000000000000000
χ1922222222-2-2-2-2-2-2-2222000000000022-2-22-2-2-222000000000000000000000
χ2022222222-2-2-2-2-2-2-222200000000002-2-22-2222-2-2000000000000000000000
χ21222222-2-222-2-222222-222-2-2222222-20-2000000000-2-2-20000000000000000
χ22222222-2-222-2-222222-2-2-222-2-2-2-2-2-2-20-20000000002220000000000000000
χ23222222-2-222-2-2-2-22-2-2-222-2-2-2-2-2-222202000000000-2220000000000000000
χ24222222-2-222-2-2-2-22-2-2-2-2-2222222-2-22020000000002-2-20000000000000000
χ25222222-2-2-2-22222-2-2-2-2000000000020-200000002i−2i0002i−2i2i2i−2i−2i0000000000
χ26222222-2-2-2-22222-2-2-2-2000000000020-20000000−2i2i000−2i2i−2i−2i2i2i0000000000
χ27222222-2-2-2-222-2-2-222-20000000000-20200000002i−2i0002i−2i−2i−2i2i2i0000000000
χ28222222-2-2-2-222-2-2-222-20000000000-2020000000−2i2i000−2i2i2i2i−2i−2i0000000000
χ292222-2-22222-2200-200-222-2-20000-2-20202-200-200-2-22002200000000000000
χ302222-2-22222-2200-200-222-2-20000-2-20-20-220020022200-2-200000000000000
χ312222-2-22222-2200-200-2-2-2220000220202-200-20022-200-2-200000000000000
χ322222-2-22222-2200-200-2-2-2220000220-20-2200200-2-2-2002200000000000000
χ332222-2-222-2-22-200200-200002i2i−2i−2i00020-2-2002000002i−2i002i−2i2i−2i0000000000
χ342222-2-222-2-22-200200-200002i2i−2i−2i000-202200-2000002i−2i00−2i2i−2i2i0000000000
χ352222-2-222-2-22-200200-20000−2i−2i2i2i00020-2-200200000−2i2i00−2i2i−2i2i0000000000
χ362222-2-222-2-22-200200-20000−2i−2i2i2i000-202200-200000−2i2i002i−2i2i−2i0000000000
χ372222-2-2-2-2222-200-200222220000-2-2000002-202-200-200002-2-220000000000
χ382222-2-2-2-2222-200-200222220000-2-200000-220-2200-20000-222-20000000000
χ392222-2-2-2-2222-200-2002-2-2-2-2000022000002-202-20020000-222-20000000000
χ402222-2-2-2-2222-200-2002-2-2-2-200002200000-220-2200200002-2-220000000000
χ412222-2-2-2-2-2-2-2200200200002i2i−2i−2i00000002-20-22−2i2i0−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-2200200200002i2i−2i−2i0000000-2202-22i−2i0−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-220020020000−2i−2i2i2i00000002-20-222i−2i02i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-220020020000−2i−2i2i2i0000000-2202-2−2i2i02i−2i2i−2i00000000000000
χ4544-4-40000-4400000000004i−4i0000000000000000000000000002i−2i2-2000000
χ4644-4-40000-4400000000004i−4i000000000000000000000000000−2i2i-22000000
χ4744-4-40000-440000000000−4i4i0000000000000000000000000002i−2i-22000000
χ4844-4-40000-440000000000−4i4i000000000000000000000000000−2i2i2-2000000
χ494-44-44-40000000004i−4i02i2−2i20022−2222−222i2−2i20000000000000000000000000000000
χ504-44-44-40000000004i−4i0−2i22i200−2222−2222−2i22i20000000000000000000000000000000
χ514-44-44-4000000000−4i4i02i2−2i200−2222−22222i2−2i20000000000000000000000000000000
χ524-44-44-4000000000−4i4i0−2i22i20022−2222−22−2i22i20000000000000000000000000000000
χ534-44-4-440000004-400002i2−2i2002i2−2i2−2i22i2−2i22i20000000000000000000000000000000
χ544-44-4-440000004-40000−2i22i200−2i22i22i2−2i22i2−2i20000000000000000000000000000000
χ554-44-4-44000000-4400002i2−2i200−2i22i22i2−2i2−2i22i20000000000000000000000000000000
χ564-44-4-44000000-440000−2i22i2002i2−2i2−2i22i22i2−2i20000000000000000000000000000000
χ5788-8-800008-80000000000000000000000000000000000000000000000000
χ588-8-88008-8000000000000000000000000000000000000000000000000000
χ598-8-8800-88000000000000000000000000000000000000000000000000000

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