Finite Group Databasebeta

← Group #334822

Character table — Group #334822

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222222444888888888816161616161616161616161616161616161616323232
order12222244444444444888888882444444448888888888248
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-11-11-11-1-1-11-1111-1-1-1-1-11-11
χ31111111111111111111-1-11111-1-1-1-1-11-1-1-11111-111111-1-1-1
χ41111111111111111111-1-1-1-1-1-11-11-1111111-111-1-1-1-1-1-1-11-1
χ511111111111111111-1-1111111-1-1-1-1-11-111-1-1-1-1111-1-1-111-1
χ611111111111111111-1-111-1-1-1-11-11-1111-1-1-11-1-11-1-11111-1-1
χ711111111111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-11
χ811111111111111111-1-1-1-1-1-1-1-1-11-11-11-111-11-1-1-1-1-1111-111
χ9111111111111111-1-11111111111-11-1-1111-1-11-11-1-1-111-1-1-1
χ10111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-111-11111-1-1-11-1
χ11111111111111111-1-111-1-11111-1-11-11-1-1-1-1-1-11-1-1-1-1-111111
χ12111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-111-1-1111-1-11-11
χ13111111111111111-1-1-1-1111111-1-11-11-1-11111-111-1-11-1-1-1-11
χ14111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-11-1-11-1-11111-111-111
χ15111111111111111-1-1-1-1-1-1111111-11-1-11-1-111-11-1-1-11-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11-111-1111-1-1
χ17222222-222-222-2-2-2222200000000000-200020-2-2000000000
χ18222222-222-222-2-2-222-2-200000000000-2000-2022000000000
χ19222222-222-222-2-2-2-2-222000000000002000-20-22000000000
χ20222222-222-222-2-2-2-2-2-2-2000000000002000202-2000000000
χ212222-2-222-222-2-22-200002200000020-200000200-200-200000
χ222222-2-222-222-2-22-2000022000000-20200000-200-200200000
χ232222-2-222-222-2-22-20000-2-200000020-200000-200200200000
χ242222-2-222-222-2-22-20000-2-2000000-20200000200200-200000
χ252222-2-22-222-22-2-2200000022-2-2220-200-2000000000000000
χ262222-2-22-222-22-2-2200000022-2-2-2-202002000000000000000
χ272222-2-22-222-22-2-22000000-2-2222-20200-2000000000000000
χ282222-2-22-222-22-2-22000000-2-222-220-2002000000000000000
χ294444444-4-44-4-44-4-400000000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000000
χ314444-4-4-44-4-44-44-4400000000000000000000000000000000
χ324444-4-4-4-44-4-4444-400000000000000000000000000000000
χ3344-4-400-40040000000002i2−2i2002i2−2i200000002-20000000000000
χ3444-4-400-40040000000002i2−2i200−2i22i20000000-220000000000000
χ3544-4-400-4004000000000−2i22i2002i2−2i20000000-220000000000000
χ3644-4-400-4004000000000−2i22i200−2i22i200000002-20000000000000
χ374-4-444-404-40-440004i−4i000000000000000000000000000000
χ384-4-444-404-40-44000−4i4i000000000000000000000000000000
χ394-4-444-40-4404-4000004i−4i0000000000000000000000000000
χ404-4-444-40-4404-400000−4i4i0000000000000000000000000000
χ414-4-44-440440-4-40000000000000000000000000000002i2−2i2000
χ424-4-44-440440-4-4000000000000000000000000000000−2i22i2000
χ434-4-44-440-4-404400000000000000000000000000022−22000000
χ444-4-44-440-4-4044000000000000000000000000000−2222000000
χ4588-8-800800-80000000000000000000000000000000000000
χ468-88-8000000000000000004i−4i000000000000000000000000
χ478-88-800000000000000000−4i4i000000000000000000000000

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