Finite Group Databasebeta

← Group #485145

Character table — Group #485145

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222222224444444444444444444444424444444888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-111-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-111
χ7111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ91111-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-1111-11-111-1-11-11-11-1
χ101111-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-111-111-1-11-11-11-11-11
χ111111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111111-1-111-11-11-1-11-11
χ121111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-11111-11-11-1-111-111-11-1
χ131111-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-111111-1-1111-1-1-111-1-11
χ141111-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-11111-11-11-11-111-1-111-1
χ151111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1111-11-11-11-1-11-111-1
χ161111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-111-111-1-1-1111-11-1-11
χ17222222222222-2-2222220000-2-2-2-20000-2-200000000000000
χ18222222222222-2-22-2-2-2-2000022220000-2-200000000000000
χ192222222222-2-22-2-200000000000022222-200-2-20000000000
χ202222222222-2-22-2-2000000000000-2-2-2-22-200220000000000
χ212222222222-2-2-22-20000222200000000-2200000-2-20000000
χ222222222222-2-2-22-20000-2-2-2-200000000-2200000220000000
χ232222-2-2-2-2222222-222-2-20000-2-2220000-2-200000000000000
χ242222-2-2-2-2222222-2-2-222000022-2-20000-2-200000000000000
χ252222-2-2-2-222-2-22-22000022-2-200000000-2200000-220000000
χ262222-2-2-2-222-2-22-220000-2-22200000000-22000002-20000000
χ272222-2-2-2-222-2-2-22200000000000022-2-22-200-220000000000
χ282222-2-2-2-222-2-2-222000000000000-2-2222-2002-20000000000
χ29444444-4-4-4-4000000000000000000000002200-200-2000000
χ30444444-4-4-4-400000000000000000000000-2-2002002000000
χ314444-4-444-4-4000000000000000000000002-200-2002000000
χ324444-4-444-4-400000000000000000000000-2200200-2000000
χ334-44-40000-444-4000004i−4i0000000000000000000000000000
χ344-44-40000-444-400000−4i4i0000000000000000000000000000
χ354-44-40000-44-440004i−4i000000000000000000000000000000
χ364-44-40000-44-44000−4i4i000000000000000000000000000000
χ374-4-44004-4000000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000
χ384-4-44004-4000000000002i−2i2i−2i−2i2i−2i2i-22-220000000000000000
χ394-4-44004-400000000000−2i2i−2i2i2i−2i2i−2i-22-220000000000000000
χ404-4-44004-400000000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000
χ414-4-4400-44000000000002i−2i−2i2i2i−2i−2i2i2-2-220000000000000000
χ424-4-4400-44000000000002i−2i−2i2i−2i2i2i−2i-222-20000000000000000
χ434-4-4400-4400000000000−2i2i2i−2i2i−2i−2i2i-222-20000000000000000
χ444-4-4400-4400000000000−2i2i2i−2i−2i2i2i−2i2-2-220000000000000000
χ4588-8-88-800000000000000000000000000000000000000000
χ4688-8-8-8800000000000000000000000000000000000000000
χ478-88-800008-80000000000000000000000000000000000000

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