Finite Group Databasebeta

← Group #254245

Character table — Group #254245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444422444444444444222444444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-1-1-11111-1-111-111-1-1111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-111
χ9111111111111111-1-1-1-111-1-1-1-111111-11-1-11-111-1-111-1-111-1-11-1
χ10111111111111111-1-1-1-111-1-1-1-111111-1-11-1-1111-1-1-1-111-1-111-11
χ11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-1111-1
χ12111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-111-11-1-11111-1-111-1-1-11
χ13111111111111111-1-1-1-1-1-111111111-111-111-1-1-1-1-111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-111111111-11-111-11-1-1-1-1-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-11111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111111-1-1-1-1111-1
χ172222222222-2-2-2-2-222-2-222-2-2220000-200000000000000000000
χ182222222222-2-2-2-2-222-2-2-2-222-2-20000200000000000000000000
χ192222222222-2-2-2-2-2-2-2222222-2-20000-200000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-2220000200000000000000000000
χ21222222-2-2-2-2222-2-22-22-200000022-2-20000000002-20000000000
χ22222222-2-2-2-2222-2-22-22-2000000-2-222000000000-220000000000
χ23222222-2-2-2-2222-2-2-22-2200000022-2-2000000000-220000000000
χ24222222-2-2-2-2222-2-2-22-22000000-2-2220000000002-20000000000
χ25222222-2-2-2-2-2-2-2222-2-2200000000000200-2002-2000000000000
χ26222222-2-2-2-2-2-2-2222-2-2200000000000-200200-22000000000000
χ27222222-2-2-2-2-2-2-222-222-200000000000200-200-22000000000000
χ28222222-2-2-2-2-2-2-222-222-200000000000-2002002-2000000000000
χ292222-2-22-22-2-2-222-200000000002i−2i2i−2i000200-20000002i−2i000000
χ302222-2-22-22-2-2-222-200000000002i−2i2i−2i000-2002000000−2i2i000000
χ312222-2-22-22-2-2-222-20000000000−2i2i−2i2i000200-2000000−2i2i000000
χ322222-2-22-22-2-2-222-20000000000−2i2i−2i2i000-20020000002i−2i000000
χ332222-2-2-22-22-2-22-2200000000002i−2i−2i2i00200-2000002i−2i00000000
χ342222-2-2-22-22-2-22-2200000000002i−2i−2i2i00-200200000−2i2i00000000
χ352222-2-2-22-22-2-22-220000000000−2i2i2i−2i00200-200000−2i2i00000000
χ362222-2-2-22-22-2-22-220000000000−2i2i2i−2i00-2002000002i−2i00000000
χ374444-4-44-44-444-4-4400000000000000000000000000000000000
χ384444-4-4-44-4444-44-400000000000000000000000000000000000
χ394-44-44-44-4-4400000000000004i−4i0000000000000000000000000
χ404-44-44-44-4-440000000000000−4i4i0000000000000000000000000
χ414-44-44-4-444-40000000004i−4i00000000000000000000000000000
χ424-44-44-4-444-4000000000−4i4i00000000000000000000000000000
χ434-44-4-4444-4-400000000000000000000000000000000002i2−2i20000
χ444-44-4-4444-4-40000000000000000000000000000000000−2i22i20000
χ454-44-4-44-4-44400000000000000000000000000000000000022−2200
χ464-44-4-44-4-444000000000000000000000000000000000000−222200
χ4788-8-80000008i−8i00000000000000000000000000000000000000
χ4888-8-8000000−8i8i00000000000000000000000000000000000000
χ498-8-88000000000000000004-4000000000000000000000000000
χ508-8-8800000000000000000-44000000000000000000000000000

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