Finite Group Databasebeta

← Group #486136

Character table — Group #486136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444442444444444444442222444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-1111-1-111-1-1-1-111-1-111-11-11111-111111-1-1-1-1-1-1
χ61111111111111-1-1-1-1111-1-111-1-1-1-111-1-111-11-1-1-1-11-1-1-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-111-1-1-1-11111-1-1
χ81111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11-1-1-1-11-11111-1-1-1-111
χ9111111-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-11-11-11-111-1-111-1-11-1
χ10111111-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-1-11-1-111-1-111-1-111-11
χ11111111-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1111-111-111-1-1-1-111-1-1111-1
χ12111111-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1111-11-11-11-1111-1-111-1-1-11
χ13111111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-1111-11-1-1-111-1-1-1-111-11
χ14111111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-111-11-1-1-11-1-11111-1-11-1
χ15111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-11-1111-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-11-111111-1-1-1-1111-1
χ172222222222-2-220000-2-2-20000220000222-200-20000-200000000000
χ182222222222-2-220000-2-2-20000-2-20000-2-22-20020000200000000000
χ1922222222-2-22220000-2-2-2002200002200-220-20000-2000000000000
χ2022222222-2-22220000-2-2-200-2-20000-2-200-220200002000000000000
χ2122222222-2-2-2-222222222-2-20000220000-2-2-2000000000000000000
χ2222222222-2-2-2-22-2-2-2-2222220000-2-20000-2-22000000000000000000
χ23222222-2-22222-2222222-2220000-2-20000-2-2-2000000000000000000
χ24222222-2-22222-2-2-2-2-222-2-2-20000220000-2-22000000000000000000
χ25222222-2-222-2-2-20000-2-2200220000-2-200-220-200002000000000000
χ26222222-2-222-2-2-20000-2-2200-2-200002200-22020000-2000000000000
χ27222222-2-2-2-222-20000-2-220000220000-2-22-200-20000200000000000
χ28222222-2-2-2-222-20000-2-220000-2-20000222-20020000-200000000000
χ292-22-22-2002i−2i2i−2i02i2i−2i−2i2-202-20000000000000000000002−2i2−i2i2−i22−200
χ302-22-22-2002i−2i2i−2i02i2i−2i−2i2-202-2000000000000000000000−22−i2i2−i2i2−2200
χ312-22-22-2002i−2i2i−2i0−2i−2i2i2i2-20-220000000000000000000002−2i2−i2−i2i2−2200
χ322-22-22-2002i−2i2i−2i0−2i−2i2i2i2-20-22000000000000000000000−22−i2i2i2−i22−200
χ332-22-22-200−2i2i−2i2i02i2i−2i−2i2-20-220000000000000000000002−2−i2i2i2−i2−2200
χ342-22-22-200−2i2i−2i2i02i2i−2i−2i2-20-22000000000000000000000−22i2−i2−i2i22−200
χ352-22-22-200−2i2i−2i2i0−2i−2i2i2i2-202-20000000000000000000002−2−i2i2−i2i22−200
χ362-22-22-200−2i2i−2i2i0−2i−2i2i2i2-202-2000000000000000000000−22i2−i2i2−i2−2200
χ374444-4-4440000-40000000000000000000000002-2-20020000000000
χ384444-4-4440000-4000000000000000000000000-22200-20000000000
χ394444-4-4-4-40000400000000000000000000000022-200-20000000000
χ404444-4-4-4-400004000000000000000000000000-2-220020000000000
χ4144-4-4004i−4i000002i−2i2i−2i000002i−2i2i−2i2-22-22-2000000000000000000000
χ4244-4-4004i−4i000002i−2i2i−2i00000−2i2i−2i2i2-2-22-22000000000000000000000
χ4344-4-4004i−4i00000−2i2i−2i2i000002i−2i−2i2i-222-2-22000000000000000000000
χ4444-4-4004i−4i00000−2i2i−2i2i00000−2i2i2i−2i-22-222-2000000000000000000000
χ4544-4-400−4i4i000002i−2i2i−2i000002i−2i−2i2i-22-222-2000000000000000000000
χ4644-4-400−4i4i000002i−2i2i−2i00000−2i2i2i−2i-222-2-22000000000000000000000
χ4744-4-400−4i4i00000−2i2i−2i2i000002i−2i2i−2i2-2-22-22000000000000000000000
χ4844-4-400−4i4i00000−2i2i−2i2i00000−2i2i−2i2i2-22-22-2000000000000000000000
χ494-44-44-4004i−4i−4i4i00000-440000000000000000000000000000000000
χ504-44-44-400−4i4i4i−4i00000-440000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-880000000004-4-44000000000000000000000000000000000000
χ538-8-88000000000-444-4000000000000000000000000000000000000

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