Finite Group Databasebeta

← Group #674384

Character table — Group #674384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222222222224444444444444444222244444444444444444444444444444444222222224444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111111111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111
χ171111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11-11-1
χ181111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-11-11
χ191111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-111-1-11111-1-1-11-11
χ201111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1-1111-11-1
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-11-11
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-11-11-1
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111-11-1
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-11-11
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-1-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111-1-1111-1-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-111-1-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1111-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ33222222-2-22-2-2-2-2-2-22000000002222-2-2-2-2000000002i2i−2i−2i22-2-222-2-2000000002i2i−2i−2i000000000000000000002i−2i2i−2i0000000000000000
χ34222222-2-22-2-2-2-2-2-22000000002222-2-2-2-2000000002i2i−2i−2i-2-222-2-222000000002i2i−2i−2i00000000000000000000−2i2i−2i2i0000000000000000
χ35222222-2-22-2-2-2-2-2-22000000002222-2-2-2-200000000−2i−2i2i2i22-2-222-2-200000000−2i−2i2i2i00000000000000000000−2i2i−2i2i0000000000000000
χ36222222-2-22-2-2-2-2-2-22000000002222-2-2-2-200000000−2i−2i2i2i-2-222-2-22200000000−2i−2i2i2i000000000000000000002i−2i2i−2i0000000000000000
χ37222222-2-22-2-2-2-2-2-2200000000-2-2-2-22222000000002i2i−2i−2i22-2-2-2-22200000000−2i−2i2i2i00000000000000000000−2i2i2i−2i0000000000000000
χ38222222-2-22-2-2-2-2-2-2200000000-2-2-2-22222000000002i2i−2i−2i-2-22222-2-200000000−2i−2i2i2i000000000000000000002i−2i−2i2i0000000000000000
χ39222222-2-22-2-2-2-2-2-2200000000-2-2-2-2222200000000−2i−2i2i2i22-2-2-2-222000000002i2i−2i−2i000000000000000000002i−2i−2i2i0000000000000000
χ40222222-2-22-2-2-2-2-2-2200000000-2-2-2-2222200000000−2i−2i2i2i-2-22222-2-2000000002i2i−2i−2i00000000000000000000−2i2i2i−2i0000000000000000
χ412222-2-22-2-22-2-2-222-22222-2-2-2-200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i00002-22-20000000000000000000000000000
χ422222-2-22-2-22-2-2-222-22222-2-2-2-200000000000000002i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i0000-22-220000000000000000000000000000
χ432222-2-22-2-22-2-2-222-22222-2-2-2-20000000000000000−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i0000-22-220000000000000000000000000000
χ442222-2-22-2-22-2-2-222-22222-2-2-2-20000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i00002-22-20000000000000000000000000000
χ452222-2-22-2-22-2-2-222-2-2-2-2-2222200000000000000002i−2i2i−2i000000002i2i−2i−2i−2i−2i2i2i0000−2i−2i2i2i0000-222-20000000000000000000000000000
χ462222-2-22-2-22-2-2-222-2-2-2-2-2222200000000000000002i−2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000−2i−2i2i2i00002-2-220000000000000000000000000000
χ472222-2-22-2-22-2-2-222-2-2-2-2-222220000000000000000−2i2i−2i2i000000002i2i−2i−2i−2i−2i2i2i00002i2i−2i−2i00002-2-220000000000000000000000000000
χ482222-2-22-2-22-2-2-222-2-2-2-2-222220000000000000000−2i2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i00002i2i−2i−2i0000-222-20000000000000000000000000000
χ4922-2-22-2-22222-2-22-2-222-2-222-2-20000000022-2-200000000000000002i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000000000002i−2i2i−2i0000
χ5022-2-22-2-22222-2-22-2-222-2-222-2-20000000022-2-20000000000000000−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000000000−2i2i−2i2i0000
χ5122-2-22-2-22222-2-22-2-222-2-222-2-200000000-2-22200000000000000002i−2i2i−2i2i−2i2i−2i-22-2200000000000000000000000000000000−2i2i−2i2i0000
χ5222-2-22-2-22222-2-22-2-222-2-222-2-200000000-2-2220000000000000000−2i2i−2i2i−2i2i−2i2i-22-22000000000000000000000000000000002i−2i2i−2i0000
χ5322-2-22-2-22222-2-22-2-2-2-222-2-2220000000022-2-200000000000000002i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000000000002i−2i−2i2i0000
χ5422-2-22-2-22222-2-22-2-2-2-222-2-2220000000022-2-20000000000000000−2i2i−2i2i2i−2i2i−2i-22-2200000000000000000000000000000000−2i2i2i−2i0000
χ5522-2-22-2-22222-2-22-2-2-2-222-2-22200000000-2-22200000000000000002i−2i2i−2i−2i2i−2i2i2-22-200000000000000000000000000000000−2i2i2i−2i0000
χ5622-2-22-2-22222-2-22-2-2-2-222-2-22200000000-2-2220000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2000000000000000000000000000000002i−2i−2i2i0000
χ5722-2-2-22-2-2-22-2222-2222-2-2-2-22222-2-222-2-2000022-2-20000000000002-2-222-2-22000000000000000000002-22-200000000000000000000
χ5822-2-2-22-2-2-22-2222-2222-2-2-2-22222-2-222-2-2000022-2-2000000000000-222-2-222-200000000000000000000-22-2200000000000000000000
χ5922-2-2-22-2-2-22-2222-2222-2-2-2-222-2-222-2-2220000-2-2220000000000002-2-222-2-2200000000000000000000-22-2200000000000000000000
χ6022-2-2-22-2-2-22-2222-2222-2-2-2-222-2-222-2-2220000-2-222000000000000-222-2-222-2000000000000000000002-22-200000000000000000000
χ6122-2-2-22-2-2-22-2222-22-2-22222-2-222-2-222-2-20000-2-2220000000000002-2-22-222-2000000000000000000002-2-2200000000000000000000
χ6222-2-2-22-2-2-22-2222-22-2-22222-2-222-2-222-2-20000-2-222000000000000-222-22-2-2200000000000000000000-222-200000000000000000000
χ6322-2-2-22-2-2-22-2222-22-2-22222-2-2-2-222-2-222000022-2-20000000000002-2-22-222-200000000000000000000-222-200000000000000000000
χ6422-2-2-22-2-2-22-2222-22-2-22222-2-2-2-222-2-222000022-2-2000000000000-222-22-2-22000000000000000000002-2-2200000000000000000000
χ652-22-22-2-22-2-2-22-22222-22-22-22-22-22-22-22-200002-22-20000000000000000000000000000000000000000000000002-22-22-22-200000000
χ662-22-22-2-22-2-2-22-22222-22-22-22-22-22-22-22-200002-22-2000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ672-22-22-2-22-2-2-22-22222-22-22-22-2-22-22-22-220000-22-220000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ682-22-22-2-22-2-2-22-22222-22-22-22-2-22-22-22-220000-22-22000000000000000000000000000000000000000000000000-22-222-22-200000000
χ692-22-22-2-22-2-2-22-2222-22-22-22-222-22-22-22-20000-22-220000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ702-22-22-2-22-2-2-22-2222-22-22-22-222-22-22-22-20000-22-22000000000000000000000000000000000000000000000000-222-2-222-200000000
χ712-22-22-2-22-2-2-22-2222-22-22-22-22-22-22-22-2200002-22-20000000000000000000000000000000000000000000000002-2-22-222-200000000
χ722-22-22-2-22-2-2-22-2222-22-22-22-22-22-22-22-2200002-22-2000000000000000000000000000000000000000000000000-222-22-2-2200000000
χ732-2-22-2-22-22-222-22-222-2-22-222-22-2-222-2-2200002-2-2200002-22-22-22-20000000000000000000000002-22-2000000000000000000000000
χ742-2-22-2-22-22-222-22-222-2-22-222-22-2-222-2-2200002-2-220000-22-22-22-22000000000000000000000000-22-22000000000000000000000000
χ752-2-22-2-22-22-222-22-222-2-22-222-2-222-2-222-20000-222-200002-22-2-22-220000000000000000000000002-2-22000000000000000000000000
χ762-2-22-2-22-22-222-22-222-2-22-222-2-222-2-222-20000-222-20000-22-222-22-2000000000000000000000000-222-2000000000000000000000000
χ772-2-22-2-22-22-222-22-22-222-22-2-222-2-222-2-220000-222-200002-22-22-22-2000000000000000000000000-22-22000000000000000000000000
χ782-2-22-2-22-22-222-22-22-222-22-2-222-2-222-2-220000-222-20000-22-22-22-220000000000000000000000002-22-2000000000000000000000000
χ792-2-22-2-22-22-222-22-22-222-22-2-22-222-2-222-200002-2-2200002-22-2-22-22000000000000000000000000-222-2000000000000000000000000
χ802-2-22-2-22-22-222-22-22-222-22-2-22-222-2-222-200002-2-220000-22-222-22-20000000000000000000000002-2-22000000000000000000000000
χ812-2-22-2-2-2222-2-22-222000000002-2-22-222-22-22-2000000002-2-222-2-220000000000002-22-22-22-200000000000000000000000000000000
χ822-2-22-2-2-2222-2-22-222000000002-2-22-222-22-22-200000000-222-2-222-20000000000002-22-2-22-2200000000000000000000000000000000
χ832-2-22-2-2-2222-2-22-222000000002-2-22-222-2-22-22000000002-2-222-2-22000000000000-22-22-22-2200000000000000000000000000000000
χ842-2-22-2-2-2222-2-22-222000000002-2-22-222-2-22-2200000000-222-2-222-2000000000000-22-222-22-200000000000000000000000000000000
χ852-2-22-2-2-2222-2-22-22200000000-222-22-2-222-22-2000000002-2-22-222-2000000000000-22-222-2-2200000000000000000000000000000000
χ862-2-22-2-2-2222-2-22-22200000000-222-22-2-222-22-200000000-222-22-2-22000000000000-22-22-222-200000000000000000000000000000000
χ872-2-22-2-2-2222-2-22-22200000000-222-22-2-22-22-22000000002-2-22-222-20000000000002-22-2-222-200000000000000000000000000000000
χ882-2-22-2-2-2222-2-22-22200000000-222-22-2-22-22-2200000000-222-22-2-220000000000002-22-22-2-2200000000000000000000000000000000
χ894444-4-4-44-4-4444-4-4-40000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-44-4-4444-4-4-4000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-44-44-4-444-44-4000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ9244-4-44-44-44-4-444-44-400000000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ9344-4-4-4444-4-44-4-4-4440000000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-4444-4-44-4-4-44400000000-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-44-4-444-44-4-44000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-44-4-444-44-4-4400000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-444444-44-4-4-4-400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444444-44-4-4-4-40000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-44-4-44-44-4444-44-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-44-4-44-44-4444-4-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444444-4-4-4-444-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444444-4-4-4-444-4-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-4444-4-44-40000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ1044-4-4444-4-4-4444-4-44-4000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000

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