Finite Group Databasebeta

← Group #333076

Character table — Group #333076

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222224448888881616161616161616161616161616161616161632323232
order12222244444444444444422244448888888888884488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111-1-1-11-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-11-1-1-1-1-11111-1-1-1-111-1-1
χ511111111111111111-1-1-1-11-1111-1111-1-111-1-111-1-11-1-1-1
χ611111111111111111-1-1-1-11-1111-11-1-111-1-111-1-111-11-1-1
χ711111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1111
χ811111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111-111
χ9111111111111111-1-11111-1-11-11-1-111-1-1-1-1-1-1-1-111111-1
χ10111111111111111-1-11111-1-11-11-1-1-1-111111111-1-1-1-11-1
χ11111111111111111-1-11111-1-1-11-1-1111-1-11111-1-111-1-1-11
χ12111111111111111-1-11111-1-1-11-1-11-1-111-1-1-1-111-1-111-11
χ13111111111111111-1-1-1-1-1-1-111-111-11111-1-111-1-1-1-11-1-11
χ14111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-111-1-11111-11-11
χ15111111111111111-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-111-1
χ16111111111111111-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111111-11-1
χ172222222222-2-2-2-2-22222-2-2-22000-200000000000000000
χ182222222222-2-2-2-2-222-2-222-2-2000200000000000000000
χ192222222222-2-2-2-2-2-2-222-2-22-2000200000000000000000
χ202222222222-2-2-2-2-2-2-2-2-22222000-200000000000000000
χ212222-2-222-2-222-22-2000000000200-22-2002-20000000000
χ222222-2-222-2-222-22-2000000000200-2-2200-220000000000
χ232222-2-222-2-222-22-2000000000-20022-200-220000000000
χ242222-2-222-2-222-22-2000000000-2002-22002-20000000000
χ252222-2-2-2-22222-2-220000000020-200002-2002-200000000
χ262222-2-2-2-22222-2-220000000020-20000-2200-2200000000
χ272222-2-2-2-22222-2-2200000000-20200002-200-2200000000
χ282222-2-2-2-22222-2-2200000000-2020000-22002-200000000
χ29444444-4-4-4-4444-4-400000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000
χ314444-4-444-4-4-4-44-4400000000000000000000000000000
χ324444-4-4-4-444-4-444-400000000000000000000000000000
χ334-44-44-44-44-400000000000000000000000000002i2−2i20000
χ344-44-44-44-44-40000000000000000000000000000−2i22i20000
χ354-44-44-4-44-44000000000000000000000000002i2−2i2000000
χ364-44-44-4-44-4400000000000000000000000000−2i22i2000000
χ374-44-4-444-4-4400000004i−4i0000000000000000000000000
χ384-44-4-444-4-440000000−4i4i0000000000000000000000000
χ394-44-4-44-444-4000004i−4i000000000000000000000000000
χ404-44-4-44-444-400000−4i4i000000000000000000000000000
χ4188-8-80000000000000004-400000000000000000000000
χ4288-8-8000000000000000-4400000000000000000000000
χ438-8-880000008-800000000000000000000000000000000
χ448-8-88000000-8800000000000000000000000000000000

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