Finite Group Databasebeta

← Group #246365

Character table — Group #246365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222444444442244444444444444442244444488884488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-111-11-1-11-1-11-1-1-1-1-1-111
χ51111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-11111-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-11111111-1-1
χ9111111111-1-1-1-111111-1-111-1-1-1-1111111-1-111-1-11-1-1-111-1-11-11-1
χ10111111111-1-1-1-111111-1-111-1-1-1-11111-1-111-1-1-1-1-111111-1-1-11-11
χ11111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-11-1-1111-1-11
χ12111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1
χ13111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-111-1-11-1-1-1-1-111-11-11
χ14111111111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1111-1-1111-11-1
χ15111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1111-1-1-111-1
χ16111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-111-1-11-1-11
χ1722222222-222-2-2-2-2-2002-200000000002200-200002-2000000000
χ1822222222-222-2-2-2-2-2002-20000000000-2-20020000-22000000000
χ1922222222-2-2-222-2-2-200-2200000000002200-20000-22000000000
χ2022222222-2-2-222-2-2-200-220000000000-2-200200002-2000000000
χ21222222-2-222222-2-2200-2-200000022-2-20000002-2000000000000
χ22222222-2-222222-2-2200-2-2000000-2-222000000-22000000000000
χ23222222-2-22-2-2-2-2-2-22002200000022-2-2000000-22000000000000
χ24222222-2-22-2-2-2-2-2-220022000000-2-2220000002-2000000000000
χ25222222-2-2-222-2-222-200-22000000000000220200-200-200000000
χ26222222-2-2-222-2-222-200-22000000000000-2-20-200200200000000
χ27222222-2-2-2-2-22222-2002-2000000000000220-200200-200000000
χ28222222-2-2-2-2-22222-2002-2000000000000-2-20200-200200000000
χ292222-2-22-2-200002-2200000022-2-22-22-2000000000000002-20000
χ302222-2-22-2-200002-2200000022-2-2-22-2200000000000000-220000
χ312222-2-22-2-200002-22000000-2-2222-22-200000000000000-220000
χ322222-2-22-2-200002-22000000-2-222-22-22000000000000002-20000
χ332222-2-2-22-20000-2222200-2-200002-2-220000000000002-2000000
χ342222-2-2-22-20000-2222200-2-20000-222-2000000000000-22000000
χ352222-2-2-22-20000-222-2-2002200002-2-22000000000000-22000000
χ362222-2-2-22-20000-222-2-200220000-222-20000000000002-2000000
χ374444-4-44-440000-44-40000000000000000000000000000000000
χ384444-4-4-44400004-4-40000000000000000000000000000000000
χ3944-4-44-4000004i−4i0002-2002-22i−2i2i−2i000000000000000000000000
χ4044-4-44-4000004i−4i000-2200-22−2i2i−2i2i000000000000000000000000
χ4144-4-44-400000−4i4i0002-2002-2−2i2i−2i2i000000000000000000000000
χ4244-4-44-400000−4i4i000-2200-222i−2i2i−2i000000000000000000000000
χ4344-4-4-440004i−4i000002-200-222i−2i−2i2i000000000000000000000000
χ4444-4-4-440004i−4i00000-22002-2−2i2i2i−2i000000000000000000000000
χ4544-4-4-44000−4i4i000002-200-22−2i2i2i−2i000000000000000000000000
χ4644-4-4-44000−4i4i00000-22002-22i−2i−2i2i000000000000000000000000
χ478-88-8000000000000000000000000004i−4i000000000000000000
χ488-88-800000000000000000000000000−4i4i000000000000000000
χ498-8-8800000000000000000000000000004i−4i0000000000000000
χ508-8-880000000000000000000000000000−4i4i0000000000000000

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