Finite Group Databasebeta

← Group #334816

Character table — Group #334816

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222222444888888888816161616161616161616161616161616161616323232
order12222244444444444888888884444444448888888888448
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-11-1-111-1-1-1-11-1111-1-1-1-1-1-111
χ31111111111111111111-1-11111-1-1-11-1-1-1-1-11111-111111-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1111-111111-111-1-1-1-1-1-11-1-1
χ511111111111111111-1-1111111-1-1-11-1-1-111-1-1-1-1111-1-1-111-1
χ611111111111111111-1-111-1-1-1-1-1111-111-1-1-11-1-11-1-1111-11-1
χ711111111111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-11
χ811111111111111111-1-1-1-1-1-1-1-11-1-111-1-111-11-1-1-1-1-11111-11
χ9111111111111111-1-11111111111-1-111-111-1-11-11-1-1-111-1-1-1
χ10111111111111111-1-11111-1-1-1-11-11-11-11-1-1-111-11111-1-11-1-1
χ11111111111111111-1-111-1-11111-1-11-1-1-11-1-1-1-11-1-1-1-1-111111
χ12111111111111111-1-111-1-1-1-1-1-1-11-1-1-11-111-111-1-1111-1-1-111
χ13111111111111111-1-1-1-1111111-1-11-1-1-111111-111-1-11-1-1-1-11
χ14111111111111111-1-1-1-111-1-1-1-1-11-1-1-11-1-1-11-1-11111-1111-11
χ15111111111111111-1-1-1-1-1-1111111-1-111-1-1-111-11-1-1-11-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-11-11-11-11111-1-11-111-111-11-1
χ1722222222-222-2-2-2-22222000000000-20000020-2-2000000000
χ1822222222-222-2-2-2-222-2-2000000000-200000-2022000000000
χ1922222222-222-2-2-2-2-2-222000000000200000-20-22000000000
χ2022222222-222-2-2-2-2-2-2-2-2000000000200000202-2000000000
χ212222-2-22-222-22-22-20000220000002000-2000200-200-200000
χ222222-2-22-222-22-22-2000022000000-20002000-200-200200000
χ232222-2-22-222-22-22-20000-2-20000002000-2000-200200200000
χ242222-2-22-222-22-22-20000-2-2000000-20002000200200-200000
χ252222-2-2-222-222-2-2200000022-2-22200-2-20000000000000000
χ262222-2-2-222-222-2-2200000022-2-2-2-200220000000000000000
χ272222-2-2-222-222-2-22000000-2-2222-200-220000000000000000
χ282222-2-2-222-222-2-22000000-2-222-22002-20000000000000000
χ29444444-4-44-4-444-4-400000000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000000
χ314444-4-44-4-44-4-44-4400000000000000000000000000000000
χ324444-4-4-44-4-44-444-400000000000000000000000000000000
χ3344-4-40000400-4000000022−2222−220000000002-20000000000000
χ3444-4-40000400-4000000022−22−2222000000000-220000000000000
χ3544-4-40000400-40000000−222222−22000000000-220000000000000
χ3644-4-40000400-40000000−2222−22220000000002-20000000000000
χ374-44-44-44-40-44000000000000000000000000000000022−22000
χ384-44-44-44-40-440000000000000000000000000000000−2222000
χ394-44-44-4-4404-4000000000000000000000000000022−22000000
χ404-44-44-4-4404-40000000000000000000000000000−2222000000
χ414-44-4-44440-4-400004-4000000000000000000000000000000
χ424-44-4-44440-4-40000-44000000000000000000000000000000
χ434-44-4-44-4-40440000004i−4i0000000000000000000000000000
χ444-44-4-44-4-4044000000−4i4i0000000000000000000000000000
χ4588-8-80000-800800000000000000000000000000000000000
χ468-8-8800000000000000000004i−4i0000000000000000000000
χ478-8-880000000000000000000−4i4i0000000000000000000000

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