Finite Group Databasebeta

← Group #339821

Character table — Group #339821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224448888888888881616161616161616161616161616161632323232
order12222244444444488888888888824444488888888884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111111-1-1-11-11-1111-11-1-1-1-1-11-1
χ31111111111111111111-1-1111111-11-11-1-1-1111-11-11-1-1-1-1-11
χ41111111111111111111-1-1-1-11111-1-11-1-11-1-111-1-1-1-11111-1-1
χ511111111111111111-1-11111-1-1-1-11-11-111-1-11-111-1-1-1-11-1-11
χ611111111111111111-1-111-1-1-1-1-1-111-111-1-111-11-1-1111-11-1-1
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-111-111-1111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-111-1-11-11-1
χ9111111111111111-1-1111111-1-1-1-1-1111-11-1-1-1111-1-1-1-1-111-1
χ10111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-111
χ11111111111111111-1-111-1-111-1-1-1-111-111-11-1-11-111-1111-1-1-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-11-11-11111-11-1-111-1-1-11-11
χ13111111111111111-1-1-1-111111111-1-11-1-1111-1-1111111-1-1-1-1
χ14111111111111111-1-1-1-111-1-11111-11-11-1-11-1-1-11-11-1-1-111-11
χ15111111111111111-1-1-1-1-1-11111111-1-1-11-1-11-1-1-11-11-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111
χ17222222-22222-2-2-2-200002222000000200-20000-2-200000000
χ18222222-22222-2-2-2-2000022-2-2000000-20020000-2200000000
χ19222222-22222-2-2-2-20000-2-222000000-200200002-200000000
χ20222222-22222-2-2-2-20000-2-2-2-2000000200-200002200000000
χ212222-2-2222-2-222-2-20022000000002000-20-200-20020000000
χ222222-2-2222-2-222-2-2002200000000-200020200-200-20000000
χ232222-2-2222-2-222-2-200-2-2000000002000-20200200-20000000
χ242222-2-2222-2-222-2-200-2-200000000-200020-20020020000000
χ252222-2-22-2-2222-22-2220000000000020-2000-2-200002000000
χ262222-2-22-2-2222-22-22200000000000-2020002-20000-2000000
χ272222-2-22-2-2222-22-2-2-20000000000020-2000220000-2000000
χ282222-2-22-2-2222-22-2-2-200000000000-202000-2200002000000
χ294444444-4-4-4-44-4-4400000000000000000000000000000000
χ30444444-4-4-4-4-4-444-400000000000000000000000000000000
χ314444-4-4-444-4-4-4-44400000000000000000000000000000000
χ324444-4-4-4-4-444-44-4400000000000000000000000000000000
χ334-44-400-4000040002i2−2i222−2200002i2i−2i−2i00000000000000000000
χ344-44-400-4000040002i2−2i2−22220000−2i−2i2i2i00000000000000000000
χ354-44-400-400004000−2i22i222−220000−2i−2i2i2i00000000000000000000
χ364-44-400-400004000−2i22i2−222200002i2i−2i−2i00000000000000000000
χ374-4-444-404-44-400000000004i−4i000000000000000000000000
χ384-4-444-404-44-40000000000−4i4i000000000000000000000000
χ394-4-444-40-44-44000000004i−4i00000000000000000000000000
χ404-4-444-40-44-4400000000−4i4i00000000000000000000000000
χ414-4-44-4404-4-440000000000000000000000000000002i2−2i20000
χ424-4-44-4404-4-44000000000000000000000000000000−2i22i20000
χ434-4-44-440-444-40000000000002i2−2i22i2−2i200000000000000000000
χ444-4-44-440-444-4000000000000−2i22i2−2i22i200000000000000000000
χ4588-8-8000000000000000000022−22−222200000000000000000000
χ4688-8-80000000000000000000−222222−2200000000000000000000
χ478-88-80080000-800000000000000000000000000000000000

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