Finite Group Databasebeta

← Group #335314

Character table — Group #335314

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-11-111111-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1
χ511111111111111111111-1-1111111111111-11-111-1-1-111-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-11-1-1-1-1-11111-1-1-111
χ9111111111111111111-1-1111111111111111-11-1-11-1-1-1-111-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-1-1-111-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1
χ172222222222-2-222-2-2-2-22200000022-2-20000020-2-200000000000000
χ182222222222-2-222-2-2-2-222000000-2-22200000-202-200000000000000
χ192222222222-2-222-2-2-2-2-2-200000022-2-200000-202200000000000000
χ202222222222-2-222-2-2-2-2-2-2000000-2-2220000020-2200000000000000
χ2122222222-2-222-2-222-2-2002222-2-20000000020-200-20000000000000
χ2222222222-2-222-2-222-2-20022-2-22200000000-20200-20000000000000
χ2322222222-2-222-2-222-2-200-2-222-2-200000000-2020020000000000000
χ2422222222-2-222-2-222-2-200-2-2-2-2220000000020-20020000000000000
χ2522-2-2-2-2222222-2-2-2-22-200000000000000000000002-200002i−2i2i−2i000
χ2622-2-2-2-2222222-2-2-2-22-200000000000000000000002-20000−2i2i−2i2i000
χ2722-2-2-2-2222222-2-2-2-22-20000000000000000000000-2200002i−2i−2i2i000
χ2822-2-2-2-2222222-2-2-2-22-20000000000000000000000-220000−2i2i2i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-44-4-4-44-4004-400000000000000002222−22−220000000000000000000
χ31444-44-4-4-44-4004-40000000000000000−22−2222220000000000000000000
χ32444-44-4-4-4-4400-44000000000000004-400000000000000000000000
χ33444-44-4-4-4-4400-4400000000000000-4400000000000000000000000
χ3444-44-44-4-44-400-4400004-4000000000000000000000000000000000
χ3544-44-44-4-44-400-440000-44000000000000000000000000000000000
χ3644-44-44-4-4-44004-4000000000000000000000000000022−22000000000
χ3744-44-44-4-4-44004-40000000000000000000000000000−2222000000000
χ3844-4-4-4-44444-4-4-4-444-4400000000000000000000000000000000000
χ3944-4-4-4-444-4-44444-4-4-4400000000000000000000000000000000000
χ4044-4-4-4-444-4-4-4-444444-400000000000000000000000000000000000
χ414-444-4-4-4400000000000000002i2−2i222−22002i−2i2i−2i0000000000000000000
χ424-444-4-4-4400000000000000002i2−2i2−222200−2i2i−2i2i0000000000000000000
χ434-444-4-4-440000000000000000−2i22i222−2200−2i2i−2i2i0000000000000000000
χ444-444-4-4-440000000000000000−2i22i2−2222002i−2i2i−2i0000000000000000000
χ454-44-4-444-4004-4004-4000000000000002i2−2i2−2i22i20000000000000000000
χ464-44-4-444-4004-4004-400000000000000−2i22i22i2−2i20000000000000000000
χ474-44-4-444-400-4400-440000004i−4i00000000000000000000000000000
χ484-44-4-444-400-4400-44000000−4i4i00000000000000000000000000000
χ494-4-444-44-4004-400-4400004i−4i0000000000000000000000000000000
χ504-4-444-44-4004-400-440000−4i4i0000000000000000000000000000000
χ514-4-444-44-400-44004-400000000000000000000000000002i2−2i20000000
χ524-4-444-44-400-44004-40000000000000000000000000000−2i22i20000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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