Finite Group Databasebeta

← Group #335306

Character table — Group #335306

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-111-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-1
χ511111111111111111111-1-11111111111111-11-1-1-1-11-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-11-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1111-1-1-1-111-111
χ9111111111111111111-1-111111111111111-11-111-1-1-11111-1-1-1-1-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-11-11-1-1-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111-1-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-11111-1-111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-11-1-1
χ17222222222-2-222-2-22-2-20022000022-2-20000020-2-200000000000000
χ18222222222-2-222-2-22-2-200220000-2-22200000-202-200000000000000
χ19222222222-2-222-2-22-2-200-2-2000022-2-200000-202200000000000000
χ20222222222-2-222-2-22-2-200-2-20000-2-2220000020-2200000000000000
χ2122222222-222-2-222-2-2-2220022-2-20000000020-20000-200000000000
χ2222222222-222-2-222-2-2-22200-2-22200000000-2020000-200000000000
χ2322222222-222-2-222-2-2-2-2-20022-2-200000000-2020000200000000000
χ2422222222-222-2-222-2-2-2-2-200-2-2220000000020-20000200000000000
χ252-2-22-2-222-22222-2-2-22-20000000000000000000002-20002i−2i002i−2i000
χ262-2-22-2-222-22222-2-2-22-20000000000000000000002-2000−2i2i00−2i2i000
χ272-2-22-2-222-22222-2-2-22-2000000000000000000000-220002i−2i00−2i2i000
χ282-2-22-2-222-22222-2-2-22-2000000000000000000000-22000−2i2i002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-4-44000000000000002i2−2i200002i2−2i222-2-20000000000000000000
χ31444-4-4-4-44000000000000002i2−2i20000−2i22i2-2-2220000000000000000000
χ32444-4-4-4-4400000000000000−2i22i200002i2−2i2-2-2220000000000000000000
χ33444-4-4-4-4400000000000000−2i22i20000−2i22i222-2-20000000000000000000
χ3444-444-4-4-404-4004-400000000000000022−2222−220000000000000000000
χ3544-444-4-4-404-4004-4000000000000000−2222−22220000000000000000000
χ3644-444-4-4-40-4400-440000000004-4000000000000000000000000000
χ3744-444-4-4-40-4400-44000000000-44000000000000000000000000000
χ3844-4-4-444-44004-400-40000000000000022−22−22220000000000000000000
χ3944-4-4-444-44004-400-400000000000000−222222−220000000000000000000
χ4044-4-4-444-4-400-4400400000000004i−4i0000000000000000000000000
χ4144-4-4-444-4-400-440040000000000−4i4i0000000000000000000000000
χ424-444-44-4-404-400-440004-4000000000000000000000000000000000
χ434-444-44-4-404-400-44000-44000000000000000000000000000000000
χ444-444-44-4-40-44004-4000000000000000000000000000000022−2200000
χ454-444-44-4-40-44004-40000000000000000000000000000000−222200000
χ464-44-44-44-4400-4400-40000000000000000000000000022−22000000000
χ474-44-44-44-4400-4400-400000000000000000000000000−2222000000000
χ484-44-44-44-4-4004-400400004i−4i0000000000000000000000000000000
χ494-44-44-44-4-4004-40040000−4i4i0000000000000000000000000000000
χ504-4-44-4-444444-4-4-4-44-4400000000000000000000000000000000000
χ514-4-44-4-4444-4-4-4-44444-400000000000000000000000000000000000
χ524-4-44-4-444-4-4-44444-4-4400000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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