Finite Group Databasebeta

← Group #285251

Character table — Group #285251

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444422444244448888888888884444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-11-111-1111-1-1-111-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1111111-11-111-1-1-1-111-1-1-11-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-111-11
χ511111111111111111111-1-111-1-1111111111-11-1-11-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111
χ711111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1111-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-11111111-1-1-1-1-11-1
χ9111111111111-1-1111-1-1-11111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-11-1-111
χ10111111111111-1-1111-1-1-111111111-1-11111-11-1-1-111-1-1111-1-1-111-1-1
χ11111111111111-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-11-111-1-11111111-1
χ12111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-111-1-1-1-11
χ13111111111111-1-1111-1-1-1-1-111-1-11111-1-1-1-11-1111-1-11111-1-1-1111-1-1
χ14111111111111-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1111-111-1-11-1-1-1-1-111
χ15111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1111111-1-1-11
χ16111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-111111-1111-11-1-1-1-1-111-1111-1
χ172222222-22-2-2-2222-2-22-2-2002i−2i002i−2i0000000000000000002i−2i00000
χ182222222-22-2-2-2222-2-22-2-200−2i2i00−2i2i000000000000000000−2i2i00000
χ192222222-22-2-2-2-2-22-2-2-222002i−2i002i−2i000000000000000000−2i2i00000
χ202222222-22-2-2-2-2-22-2-2-22200−2i2i00−2i2i0000000000000000002i−2i00000
χ21222222-22-222200-2-2-20002222-2-2-2-20000000-200002000000000000
χ22222222-22-222200-2-2-200022-2-222220000000-20000-2000000000000
χ23222222-22-222200-2-2-2000-2-22222-2-2000000020000-2000000000000
χ24222222-22-222200-2-2-2000-2-2-2-2-2-2220000000200002000000000000
χ25222222-2-2-2-2-2-200-222000002i−2i00−2i2i0000000002-2002i−2i0000000000
χ26222222-2-2-2-2-2-200-222000002i−2i00−2i2i000000000-2200−2i2i0000000000
χ27222222-2-2-2-2-2-200-22200000−2i2i002i−2i0000000002-200−2i2i0000000000
χ28222222-2-2-2-2-2-200-22200000−2i2i002i−2i000000000-22002i−2i0000000000
χ292222-2-2222-2-2222-22-2-22-2000000002222-2-200000000000000-20000
χ302222-2-2222-2-2222-22-2-22-200000000-2-2-2-2220000000000000020000
χ312222-2-2222-2-22-2-2-22-22-220000000022-2-22200000000000000-20000
χ322222-2-2222-2-22-2-2-22-22-2200000000-2-222-2-20000000000000020000
χ332222-2-22-2222-222-2-22-2-220000000000000020-200200000-20000000
χ342222-2-22-2222-222-2-22-2-2200000000000000-20200-20000020000000
χ352222-2-22-2222-2-2-2-2-2222-20000000000000020-200-20000020000000
χ362222-2-22-2222-2-2-2-2-2222-200000000000000-20200200000-20000000
χ374444-4-4-44-4-4-44004-44000000000000000000000000000000000000
χ384444-4-4-4-4-444-40044-4000000000000000000000000000000000000
χ3944-4-40040-40004-40000000000000022−2222−22000000000000000000000
χ4044-4-40040-40004-400000000000000−2222−2222000000000000000000000
χ4144-4-40040-4000-440000000000000022−22−2222000000000000000000000
χ4244-4-40040-4000-4400000000000000−222222−22000000000000000000000
χ434-4-444-40404-4-400000000000000000000000000000000000002i2−2i200
χ444-4-444-40404-4-40000000000000000000000000000000000000−2i22i200
χ454-4-444-40-40-444000000000000000000000000000000022−2200000000
χ464-4-444-40-40-4440000000000000000000000000000000−222200000000
χ474-4-44-44040-44-40000000000004i−4i000000000000000000000000000
χ484-4-44-44040-44-4000000000000−4i4i000000000000000000000000000
χ494-4-44-440-404-44000000004-40000000000000000000000000000000
χ504-4-44-440-404-4400000000-440000000000000000000000000000000
χ5188-8-800-80800000000000000000000000000000000000000000000
χ528-88-800000000000000000000000000004-40000000000000000000
χ538-88-80000000000000000000000000000-440000000000000000000

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