Finite Group Databasebeta

← Group #285350

Character table — Group #285350

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444444448888888888884444488888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11-111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1111-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-11
χ511111111111111111-1-11111111-1-1111111-11-1-11111-1-1-11-1-11-1-1-1-1
χ611111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111
χ711111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11
χ811111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1111-1111-1-11-1
χ9111111111111-1-111111-1-1-111111111-1-1-1-111-1-11-1-1-11-1-11-1-1-1-1-111
χ10111111111111-1-111111-1-1-1111111-1-111111-1-1-1-11-1-11-1-1-111111-1-1
χ11111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1111-1111-1-11111-1
χ12111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-11-111-111-111-1-1-1-11
χ13111111111111-1-1111-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111111-111-1-1
χ14111111111111-1-1111-1-1-1-1-11111-1-1-1-11111-1-111-11-1-1-111-1-1-11-1-111
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-11111-1-1-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-11111-11111-1111-1-1-1-1-1-1111-1
χ172222222-2-2-2-22222-2-2002-2-22i2i−2i−2i000000000000002i−2i00000000000
χ182222222-2-2-2-22222-2-2002-2-2−2i−2i2i2i00000000000000−2i2i00000000000
χ192222222-2-2-2-22-2-22-2-200-2222i2i−2i−2i00000000000000−2i2i00000000000
χ202222222-2-2-2-22-2-22-2-200-222−2i−2i2i2i000000000000002i−2i00000000000
χ21222222-22222-200-2-2-2220002-22-222000000-20000000-20000000000
χ22222222-22222-200-2-2-222000-22-22-2-2000000-2000000020000000000
χ23222222-22222-200-2-2-2-2-20002-22-2-2-20000002000000020000000000
χ24222222-22222-200-2-2-2-2-2000-22-222200000020000000-20000000000
χ25222222-2-2-2-2-2-200-222000002i−2i−2i2i00000000002-2000002i−2i00000000
χ26222222-2-2-2-2-2-200-222000002i−2i−2i2i0000000000-2200000−2i2i00000000
χ27222222-2-2-2-2-2-200-22200000−2i2i2i−2i00000000002-200000−2i2i00000000
χ28222222-2-2-2-2-2-200-22200000−2i2i2i−2i0000000000-22000002i−2i00000000
χ292222-2-2222-2-2222-22-200-22-20000002222-2-200000000000-20000000
χ302222-2-2222-2-2222-22-200-22-2000000-2-2-2-2220000000000020000000
χ312222-2-2222-2-22-2-2-22-2002-2200000022-2-22200000000000-20000000
χ322222-2-2222-2-22-2-2-22-2002-22000000-2-222-2-20000000000020000000
χ332222-2-22-2-222222-2-2200-2-220000000000000200-2200000000-20000
χ342222-2-22-2-222222-2-2200-2-220000000000000-2002-20000000020000
χ352222-2-22-2-2222-2-2-2-220022-20000000000000200-2-20000000020000
χ362222-2-22-2-2222-2-2-2-220022-20000000000000-2002200000000-20000
χ374444-4-4-444-4-4-4004-44000000000000000000000000000000000000
χ384444-4-4-4-4-444-40044-4000000000000000000000000000000000000
χ3944-4-44-404-44-40000000000000000000000000000000000000022−2200
χ4044-4-44-404-44-400000000000000000000000000000000000000−222200
χ4144-4-44-40-44-440000000000000000000000000000000000022−2200000
χ4244-4-44-40-44-4400000000000000000000000000000000000−222200000
χ4344-4-4-4404-4-440000000000000004-40000000000000000000000000
χ4444-4-4-4404-4-44000000000000000-440000000000000000000000000
χ4544-4-4-440-444-40000004-40000000000000000000000000000000000
χ4644-4-4-440-444-4000000-440000000000000000000000000000000000
χ474-4-440040000-44i−4i000000000000002i2−2i222−22000000000000000000000
χ484-4-440040000-44i−4i00000000000000−2i22i2−2222000000000000000000000
χ494-4-440040000-4−4i4i000000000000002i2−2i2−2222000000000000000000000
χ504-4-440040000-4−4i4i00000000000000−2i22i222−22000000000000000000000
χ518-88-800000000000000000000000000004-40000000000000000000
χ528-88-80000000000000000000000000000-440000000000000000000
χ538-8-8800-80000800000000000000000000000000000000000000000

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