Finite Group Databasebeta

← Group #348649

Character table — Group #348649

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12224424444488888822444444444488888888888888888448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-11-1-1-11-1-1-1111-1-111-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111-11-11-1-1-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-11-11-11-1-1-11-1-11-1-111-1-111-1-1-1-11111-1-1-1-111
χ6111111111111111111-11-11-11-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ8111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1-1-11-11-11-1-1-11-1-1-1-1-1-111-1-111111111-1-1-111-1-11
χ12111111111111-1-1-1-1-1-11-11-11-1-1-11-1-1-1-1-1-111-1-1111111-1-1111-1-111-1
χ13111111111111-1-1-1-1-1-1-11-11-11-1-1-11-1-1-111-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-1-1-1-1-1-11-11-11-1-1-11-1-1-111-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-111-111-11-1
χ172222222-2-22-2-222-2-2-2-20000002-2002-220000000022-2-20000000000
χ182222222-2-22-2-222-2-2-2-2000000-2200-22200000000-2-2220000000000
χ192222222-2-22-2-2-2-222220000002-2002-2-200000000-2-2220000000000
χ202222222-2-22-2-2-2-22222000000-2200-22-20000000022-2-20000000000
χ21222222-22-2-2-222222-2-202020-2000-200-2002200-2-200000000000000
χ22222222-22-2-2-222222-2-20-20-202000200-200-2-2002200000000000000
χ23222222-22-2-2-22-2-2-2-22202020-2000-200200-2-2002200000000000000
χ24222222-22-2-2-22-2-2-2-2220-20-2020002002002200-2-200000000000000
χ25222222-2-22-22-222-2-2222020-2000-2000-22200-2-20000000000000000
χ26222222-2-22-22-222-2-222-20-2020002000-2-2-200220000000000000000
χ27222222-2-22-22-2-2-222-2-22020-2000-20002-2-200220000000000000000
χ28222222-2-22-22-2-2-222-2-2-20-202000200022200-2-20000000000000000
χ292222-2-222-2-22-200000020-20-200020000002i−2i002i−2i2i−2i2i−2i0000000000
χ302222-2-222-2-22-200000020-20-20002000000−2i2i00−2i2i−2i2i−2i2i0000000000
χ312222-2-222-2-22-2000000-20202000-20000002i−2i002i−2i−2i2i−2i2i0000000000
χ322222-2-222-2-22-2000000-20202000-2000000−2i2i00−2i2i2i−2i2i−2i0000000000
χ332222-2-22-22-2-22000000020-202000-20002i−2i002i−2i002i−2i−2i2i0000000000
χ342222-2-22-22-2-22000000020-202000-2000−2i2i00−2i2i00−2i2i2i−2i0000000000
χ352222-2-22-22-2-220000000-2020-200020002i−2i002i−2i00−2i2i2i−2i0000000000
χ362222-2-22-22-2-220000000-2020-20002000−2i2i00−2i2i002i−2i−2i2i0000000000
χ372222-2-2-2222-2-20000000000002200-2-202i−2i2i−2i−2i2i−2i2i00000000000000
χ382222-2-2-2222-2-20000000000002200-2-20−2i2i−2i2i2i−2i2i−2i00000000000000
χ392222-2-2-2222-2-2000000000000-2-2002202i−2i−2i2i−2i2i2i−2i00000000000000
χ402222-2-2-2222-2-2000000000000-2-200220−2i2i2i−2i2i−2i−2i2i00000000000000
χ412222-2-2-2-2-222200000022-2-22-22-2-22-2200000000000000000000000
χ422222-2-2-2-2-22220000002-2-2222-22-2-22-200000000000000000000000
χ432222-2-2-2-2-2222000000-222-2-2-2-22222-200000000000000000000000
χ442222-2-2-2-2-2222000000-2-222-222-22-2-2200000000000000000000000
χ4544-4-44-40000004-4000000000000000000000000000002-22-2000000
χ4644-4-44-40000004-400000000000000000000000000000-22-22000000
χ4744-4-44-4000000-44000000000000000000000000000002-2-22000000
χ4844-4-44-4000000-4400000000000000000000000000000-222-2000000
χ4988-8-8-8800000000000000000000000000000000000000000000000
χ508-88-8000000000042−420000000000000000000000000000000000000
χ518-88-80000000000−42420000000000000000000000000000000000000
χ528-8-8800000000000042−4200000000000000000000000000000000000
χ538-8-88000000000000−424200000000000000000000000000000000000

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