Finite Group Databasebeta

← Group #333099

Character table — Group #333099

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222224448888881616161616161616161616161616161616161632323232
order12222244444444444444422244448888888888882488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
χ511111111111111111-1-1-1-11-111-11111-1-111-1-111-1-1-11-1-1
χ611111111111111111-1-1-1-11-111-111-1-111-1-111-1-1111-1-1-1
χ711111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-11-111
χ811111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1111
χ9111111111111111-1-11111-1-11-1-11-111-1-11111-1-111-1-1-11
χ10111111111111111-1-11111-1-11-1-11-1-1-111-1-1-1-111-1-111-11
χ11111111111111111-1-11111-1-1-11-1-1111-1-1-1-1-1-1-1-111111-1
χ12111111111111111-1-11111-1-1-11-1-11-1-111111111-1-1-1-11-1
χ13111111111111111-1-1-1-1-1-1-111-111-1111111-1-1-1-1-1-11-11-1
χ14111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1111111-111-1
χ15111111111111111-1-1-1-1-1-1-11-111-111111-1-111-1-1-1-1-11-11
χ16111111111111111-1-1-1-1-1-1-11-111-11-1-1-1-111-1-111111-1-11
χ17222222222-2-22-2-2-22222-2-2-2200-2000000000000000000
χ18222222222-2-22-2-2-222-2-222-2-2002000000000000000000
χ19222222222-2-22-2-2-2-2-222-2-22-2002000000000000000000
χ20222222222-2-22-2-2-2-2-2-2-2222200-2000000000000000000
χ212222-2-22-2-2222-22-2000000000200-2002-2002-200000000
χ222222-2-22-2-2222-22-2000000000200-200-2200-2200000000
χ232222-2-22-2-2222-22-2000000000-2002002-200-2200000000
χ242222-2-22-2-2222-22-2000000000-200200-22002-200000000
χ252222-2-2-22222-2-2-2200000000200-202-2002-20000000000
χ262222-2-2-22222-2-2-2200000000200-20-2200-220000000000
χ272222-2-2-22222-2-2-2200000000-200202-200-220000000000
χ282222-2-2-22222-2-2-2200000000-20020-22002-20000000000
χ29444444-4-4-444-44-4-400000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000
χ314444-4-44-4-4-4-444-4400000000000000000000000000000
χ324444-4-4-444-4-4-444-400000000000000000000000000000
χ334-44-44-444-400-4000000000000000000000000002i2−2i20000
χ344-44-44-444-400-400000000000000000000000000−2i22i20000
χ354-44-44-4-4-4400400000000000000000000000022−22000000
χ364-44-44-4-4-44004000000000000000000000000−2222000000
χ374-44-4-444-4400-40004i−4i000000000000000000000000000
χ384-44-4-444-4400-4000−4i4i000000000000000000000000000
χ394-44-4-44-44-400400000004-400000000000000000000000
χ404-44-4-44-44-40040000000-4400000000000000000000000
χ4188-8-800000000000004i−4i0000000000000000000000000
χ4288-8-80000000000000−4i4i0000000000000000000000000
χ438-8-88000008-8000000000000000000000000000000000
χ448-8-8800000-88000000000000000000000000000000000

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