Finite Group Databasebeta

← Group #347963

Character table — Group #347963

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222222244444444488888888888888888888888816161616323232323232
order12222244444488884448888882244444444448888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111-11-1-111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111
χ61111111111111111111111111-11-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1111-1-1-1-1-1-11-111-1-1-1-1-1-11-1-1-111-1-111111111-1-1-111-1-11
χ12111111111111-1-1-1-1111-1-1-1-1-1-11-111-1-1-1-1-1-11-1-1-111-1-1111111-1-1111-1-111-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-1-1111-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-1-1111-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-111-11-1
χ1722222222-222-20000-2-2-2000000222-22-222-2-2-2-20000000000000000000000
χ1822222222-222-20000-2-2-20000002-22-2-22-2-222-220000000000000000000000
χ1922222222-222-20000-2-2-2000000-22-222-2-2-2222-20000000000000000000000
χ2022222222-222-20000-2-2-2000000-2-2-22-2222-2-2220000000000000000000000
χ21222222-2-22-2-222222-2-2222-2-2-2-20000002-22-2000000000022-2-20000000000
χ22222222-2-22-2-222222-2-2222-2-2-2-2000000-22-220000000000-2-2220000000000
χ23222222-2-22-2-22-2-2-2-2-2-22-2-222220000002-22-20000000000-2-2220000000000
χ24222222-2-22-2-22-2-2-2-2-2-22-2-22222000000-22-22000000000022-2-20000000000
χ25222222-2-2-2-2-2-2000022-20000000000002-2-22002i−2i2i−2i2i−2i2i−2i00000000000000
χ26222222-2-2-2-2-2-2000022-20000000000002-2-2200−2i2i−2i2i−2i2i−2i2i00000000000000
χ27222222-2-2-2-2-2-2000022-2000000000000-222-2002i−2i−2i2i2i−2i−2i2i00000000000000
χ28222222-2-2-2-2-2-2000022-2000000000000-222-200−2i2i2i−2i−2i2i2i−2i00000000000000
χ292222-2-22-222-2222222-2-2-2-222-2-20200-2-2000002002200-2-200000000000000
χ302222-2-22-222-2222222-2-2-2-222-2-20-2002200000-200-2-2002200000000000000
χ312222-2-22-222-22-2-2-2-22-2-222-2-2220200-2-200000200-2-2002200000000000000
χ322222-2-22-222-22-2-2-2-22-2-222-2-2220-2002200000-2002200-2-200000000000000
χ332222-2-22-2-22-2-20000-2220000000200-2200000-22i−2i00−2i2i002i−2i2i−2i0000000000
χ342222-2-22-2-22-2-20000-2220000000200-2200000-2−2i2i002i−2i00−2i2i−2i2i0000000000
χ352222-2-22-2-22-2-20000-2220000000-2002-20000022i−2i00−2i2i00−2i2i−2i2i0000000000
χ362222-2-22-2-22-2-20000-2220000000-2002-2000002−2i2i002i−2i002i−2i2i−2i0000000000
χ372222-2-2-222-2222222-22-2-2-2-2-22220-2-2000000202200-2-20000000000000000
χ382222-2-2-222-2222222-22-2-2-2-2-222-2022000000-20-2-200220000000000000000
χ392222-2-2-222-222-2-2-2-2-22-22222-2-220-2-200000020-2-200220000000000000000
χ402222-2-2-222-222-2-2-2-2-22-22222-2-2-2022000000-202200-2-20000000000000000
χ412222-2-2-22-2-22-200002-2200000020-22000000-20002i−2i00−2i2i2i−2i−2i2i0000000000
χ422222-2-2-22-2-22-200002-2200000020-22000000-2000−2i2i002i−2i−2i2i2i−2i0000000000
χ432222-2-2-22-2-22-200002-22000000-202-200000020002i−2i00−2i2i−2i2i2i−2i0000000000
χ442222-2-2-22-2-22-200002-22000000-202-20000002000−2i2i002i−2i2i−2i−2i2i0000000000
χ4544-4-44-44-40-4402222−22−2200022−2222−2222−220000000000000000000000000000000000
χ4644-4-44-44-40-440−22−222222000−2222−2222−22220000000000000000000000000000000000
χ4744-4-44-4-4404-402222−22−2200022−22−2222−22220000000000000000000000000000000000
χ4844-4-44-4-4404-40−22−222222000−222222−2222−220000000000000000000000000000000000
χ4944-4-4-44440-4-402222−22−22000−222222−22−22220000000000000000000000000000000000
χ5044-4-4-44440-4-40−22−22222200022−22−222222−220000000000000000000000000000000000
χ5144-4-4-44-4-404402222−22−22000−2222−222222−220000000000000000000000000000000000
χ5244-4-4-44-4-40440−22−22222200022−2222−22−22220000000000000000000000000000000000
χ534-4-440000400-44-44-40000000000000000000000000000000002i−2i2i−2i000000
χ544-4-440000400-44-44-4000000000000000000000000000000000−2i2i−2i2i000000
χ554-4-440000400-4-44-440000000000000000000000000000000002i−2i−2i2i000000
χ564-4-440000400-4-44-44000000000000000000000000000000000−2i2i2i−2i000000
χ578-88-80000000042−42−42420000000000000000000000000000000000000000000
χ588-88-800000000−424242−420000000000000000000000000000000000000000000
χ598-8-880000-800800000000000000000000000000000000000000000000000

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