Finite Group Databasebeta

← Group #249369

Character table — Group #249369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222244444444224444444444444422244444444448888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1-1-1-11-11-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111
χ511111111111111111-1-111-1-1-1-111-1-1111111111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1
χ9111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1111111-1-1-1-1-1-11-11-1
χ10111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-111-1-11111-11-11
χ11111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1111-1-11
χ12111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-11-11-1-11111-1-1-111-1
χ13111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-11111-1-111-1-1-1-1-11-11
χ14111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-11-1
χ15111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-11-111-1-1-1-111-111-1
χ16111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-11-1111-1-111-1-11-1-11
χ172222222222222-2-2-2-200-2-200002200-2-222-20000000000000000
χ182222222222222-2-2-2-200-2-20000-2-20022-2-220000000000000000
χ19222222222-2-2-2-2-2-2-2-2002200002200-2-2-2-220000000000000000
χ20222222222-2-2-2-2-2-2-2-200220000-2-2002222-20000000000000000
χ21222222-2-2-2000022-2-2000000222-2-2-22-20000000002-200000000
χ22222222-2-2-2000022-2-200000022-22-2-2-22000000000-2200000000
χ23222222-2-2-2000022-2-2000000-2-22-2222-2000000000-2200000000
χ24222222-2-2-2000022-2-2000000-2-2-2222-220000000002-200000000
χ25222222-2-2-20000-2-2222200-2-2002-200-2200000002-20000000000
χ26222222-2-2-20000-2-2222200-2-200-22002-20000000-220000000000
χ27222222-2-2-20000-2-222-2-20022002-200-220000000-220000000000
χ28222222-2-2-20000-2-222-2-2002200-22002-200000002-20000000000
χ292222-2-222-222-2-22-22-2002-20000000000000020-20000002-20000
χ302222-2-222-222-2-22-22-2002-200000000000000-202000000-220000
χ312222-2-222-222-2-2-22-2200-22000000000000020-2000002-2000000
χ322222-2-222-222-2-2-22-2200-220000000000000-20200000-22000000
χ332222-2-222-2-2-2222-22-200-220000000000000020-2000000-220000
χ342222-2-222-2-2-2222-22-200-2200000000000000-2020000002-20000
χ352222-2-222-2-2-222-22-22002-2000000000000020-200000-22000000
χ362222-2-222-2-2-222-22-22002-20000000000000-202000002-2000000
χ374444-4-4-4-4400004-4-44000000000000000000000000000000000
χ384444-4-4-4-440000-444-4000000000000000000000000000000000
χ3944-4-4004-40004i−4i00002-2002-22i−2i002i−2i000000000000000000000
χ4044-4-4004-40004i−4i0000-2200-22−2i2i00−2i2i000000000000000000000
χ4144-4-4004-4000−4i4i00002-2002-2−2i2i00−2i2i000000000000000000000
χ4244-4-4004-4000−4i4i0000-2200-222i−2i002i−2i000000000000000000000
χ4344-4-400-4404i−4i0000002-200-222i−2i00−2i2i000000000000000000000
χ4444-4-400-4404i−4i000000-22002-2−2i2i002i−2i000000000000000000000
χ4544-4-400-440−4i4i0000002-200-22−2i2i002i−2i000000000000000000000
χ4644-4-400-440−4i4i000000-22002-22i−2i00−2i2i000000000000000000000
χ478-88-80000000000000000000000000004i−4i00000000000000000
χ488-88-8000000000000000000000000000−4i4i00000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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