Finite Group Databasebeta

← Group #249356

Character table — Group #249356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222222224444222222444444444424444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1111111111-1-11-1-1-1-1-111-1-111-1-1
χ61111111111111111111-1-1-1-1-1-111111111-11-1-11-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1
χ9111111111-1-1-1-11111-1-111-1-1111111-1-1-1-111-11111-1-1-1-1-1-11-11-1
χ10111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-11-11
χ11111111111-1-1-1-11111-1-111-1-111-1-1-1-1111111-111-1-111-1-1-1-1-11-11
χ12111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-11-1
χ13111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-1-111-1-1111-1-11
χ14111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111-11-1-11111-1-1-111-1
χ15111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-111-111-1-1-1-111-111-1
χ16111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1111-1-111-1-11-1-11
χ172222222222222-2-2-2-2-2-22222-2-20000000000-200000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2220000000000200000000000000
χ19222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000200000000000000
χ20222222222-2-2-2-2-2-2-2-222-2-222220000000000-200000000000000
χ21222222-2-2-2000022-2-2002-2002-2000022-2-200000002-200000000
χ22222222-2-2-2000022-2-2002-2002-20000-2-2220000000-2200000000
χ23222222-2-2-2000022-2-200-2200-22000022-2-20000000-2200000000
χ24222222-2-2-2000022-2-200-2200-220000-2-22200000002-200000000
χ25222222-2-2-20000-2-222002-200-2222-2-20000000002-20000000000
χ26222222-2-2-20000-2-222002-200-22-2-222000000000-220000000000
χ27222222-2-2-20000-2-22200-22002-222-2-2000000000-220000000000
χ28222222-2-2-20000-2-22200-22002-2-2-2220000000002-20000000000
χ292222-2-222-222-2-22-22-22-2000000000000000200-20000002-20000
χ302222-2-222-222-2-22-22-22-2000000000000000-2002000000-220000
χ312222-2-222-222-2-2-22-22-2200000000000000200-2000002-2000000
χ322222-2-222-222-2-2-22-22-2200000000000000-200200000-22000000
χ332222-2-222-2-2-2222-22-2-22000000000000000200-2000000-220000
χ342222-2-222-2-2-2222-22-2-22000000000000000-20020000002-20000
χ352222-2-222-2-2-222-22-222-200000000000000200-200000-22000000
χ362222-2-222-2-2-222-22-222-200000000000000-2002000002-2000000
χ374444-4-4-4-4400004-4-44000000000000000000000000000000000
χ384444-4-4-4-440000-444-4000000000000000000000000000000000
χ3944-4-4004-40004-40000000000002i−2i2i−2i2i−2i2i−2i00000000000000000
χ4044-4-4004-40004-4000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000
χ4144-4-4004-4000-440000000000002i−2i2i−2i−2i2i−2i2i00000000000000000
χ4244-4-4004-4000-44000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000
χ4344-4-400-4404-4000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000
χ4444-4-400-4404-400000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000
χ4544-4-400-440-44000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000
χ4644-4-400-440-4400000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000
χ478-88-8000000000000000004-4000000000000000000000000000
χ488-88-800000000000000000-44000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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