Finite Group Databasebeta

← Group #6629374

Character table — Group #6629374

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222244444444444444442222222222222244444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-11111-1-11111-1-1111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-11111-1-11111-1-1111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-11111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111111111-1-11111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1111111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1111111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-11-11-11-11-11-1
χ18111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-11-11
χ19111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-11-11-1-11-11-11-11
χ20111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-111-11-11-11-1
χ21111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111-1-111-11111111111-1-111-1-1-1-111-1-1111-11-1-11-111-11-1-11-11
χ22111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111-1-111-11111111111-1-111-1-1-1-111-1-111-11-111-11-1-11-111-11-1
χ23111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-111111111-1-111-1-11111-1-111-1-11-11-1-11-11-11-111-11-1
χ24111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-111111111-1-111-1-11111-1-111-1-1-11-111-11-11-11-1-11-11
χ25111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11
χ26111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-111-1
χ27111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-111-1-11-111-1-111-1
χ28111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-111-11-1-111-1-11
χ29111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-111-1-11111-1-11-1-11-111-11-1-11-111-1
χ30111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-11-1-11-111-11-1-11
χ31111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1-111-11-1-11
χ32111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-11-1-111-1-11-111-1
χ33222222222222-2-2-2-2-2-2-2-2-2-22222-2-200000000222-2-200000000-2-2-222-2-222-2-200000000000000000000000000000000
χ34222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000002-2-22200000000-2-2-2-2-222-2-22200000000000000000000000000000000
χ352222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-200000000-2-2-2220000000022222-2-2-2-22200000000000000000000000000000000
χ362222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-22200000000-222-2-200000000222-2-22222-2-200000000000000000000000000000000
χ37222222-2-2-2-222222222-2-2-2-2-2-222-2-200000000222-2-200000000-2-22-2-222-2-22200000000000000000000000000000000
χ38222222-2-2-2-222222222-2-2-2-2-2-2-2-222000000002-2-22200000000-2-2222-2-222-2-200000000000000000000000000000000
χ39222222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-200000000-2-2-2220000000022-2-2-22222-2-200000000000000000000000000000000
χ40222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-22200000000-222-2-20000000022-222-2-2-2-22200000000000000000000000000000000
χ412222-2-222-2-22222-2-22222-2-22-20000000022-2-2-200000000-2-2222-2-20000000000000000-2-222-2-2220000000000000000
χ422222-2-222-2-22222-2-22222-2-22-200000000-2-222-20000000022-2-22-2-2000000000000000022-2-222-2-20000000000000000
χ432222-2-222-2-222-2-222-2-2-2-2222-2000022220000-2000022220000-22200000000-2-2-2-2-2-2-2-2000000000000000000000000
χ442222-2-222-2-222-2-222-2-2-2-2222-20000-2-2-2-20000-20000-2-2-2-20000-2220000000022222222000000000000000000000000
χ452222-2-222-2-2-2-222-2-2-2-222-2-2-22000000002222200000000-2-2-2-2-2220000000000000000-2-22222-2-20000000000000000
χ462222-2-222-2-2-2-222-2-2-2-222-2-2-2200000000-2-2-2-22000000002222-222000000000000000022-2-2-2-2220000000000000000
χ472222-2-222-2-2-2-2-2-22222-2-222-22000022-2-200002000022-2-200002-2-200000000-2-2-2-22222000000000000000000000000
χ482222-2-222-2-2-2-2-2-22222-2-222-220000-2-222000020000-2-22200002-2-2000000002222-2-2-2-2000000000000000000000000
χ492222-2-2-2-2222222-2-222-2-222-22000022-2-20000-20000-2-2220000-22-200000000-2-222-2-222000000000000000000000000
χ502222-2-2-2-2222222-2-222-2-222-220000-2-2220000-2000022-2-20000-22-20000000022-2-222-2-2000000000000000000000000
χ512222-2-2-2-22222-2-222-2-222-2-2-22000000002222-20000000022222-220000000000000000-2-2-2-2-2-2-2-20000000000000000
χ522222-2-2-2-22222-2-222-2-222-2-2-2200000000-2-2-2-2-200000000-2-2-2-22-220000000000000000222222220000000000000000
χ532222-2-2-2-222-2-222-2-2-2-2-2-2222-200002222000020000-2-2-2-200002-2200000000-2-22222-2-2000000000000000000000000
χ542222-2-2-2-222-2-222-2-2-2-2-2-2222-20000-2-2-2-2000020000222200002-220000000022-2-2-2-222000000000000000000000000
χ552222-2-2-2-222-2-2-2-2222222-2-22-20000000022-2-220000000022-2-2-22-20000000000000000-2-2-2-222220000000000000000
χ562222-2-2-2-222-2-2-2-2222222-2-22-200000000-2-222200000000-2-222-22-200000000000000002222-2-2-2-20000000000000000
χ572-22-22-22i−2i2i−2i002i−2i2i−2i002-22-2000000002-22-20002i−2i2i−2i002i−2i2i−2i0000000002-22-200002i−2i2-22-22i−2i00000000000000000000
χ582-22-22-22i−2i2i−2i002i−2i2i−2i002-22-2000000002-2-22000−2i2i−2i2i002i−2i−2i2i000000000-22-2200002i−2i2-2-22−2i2i00000000000000000000
χ592-22-22-22i−2i2i−2i002i−2i2i−2i002-22-200000000-222-2000−2i2i−2i2i00−2i2i2i−2i000000000-22-220000−2i2i-222-22i−2i00000000000000000000
χ602-22-22-22i−2i2i−2i002i−2i2i−2i002-22-200000000-22-220002i−2i2i−2i00−2i2i−2i2i0000000002-22-20000−2i2i-22-22−2i2i00000000000000000000
χ612-22-22-22i−2i2i−2i00−2i2i−2i2i00-22-220000002-200002-202i−2i−2i2i2i−2i00002i−2i00000002-2-222-22i−2i000000002i−2i2-20000000000000000
χ622-22-22-22i−2i2i−2i00−2i2i−2i2i00-22-220000002-20000-220−2i2i2i−2i2i−2i0000−2i2i0000000-222-22-22i−2i00000000−2i2i-220000000000000000
χ632-22-22-22i−2i2i−2i00−2i2i−2i2i00-22-22000000-2200002-20−2i2i2i−2i−2i2i00002i−2i0000000-222-2-22−2i2i000000002i−2i2-20000000000000000
χ642-22-22-22i−2i2i−2i00−2i2i−2i2i00-22-22000000-220000-2202i−2i−2i2i−2i2i0000−2i2i00000002-2-22-22−2i2i00000000−2i2i-220000000000000000
χ652-22-22-2−2i2i−2i2i002i−2i2i−2i00-22-220000002-200002-20−2i2i2i−2i−2i2i0000−2i2i00000002-2-222-2−2i2i00000000−2i2i2-20000000000000000
χ662-22-22-2−2i2i−2i2i002i−2i2i−2i00-22-220000002-20000-2202i−2i−2i2i−2i2i00002i−2i0000000-222-22-2−2i2i000000002i−2i-220000000000000000
χ672-22-22-2−2i2i−2i2i002i−2i2i−2i00-22-22000000-2200002-202i−2i−2i2i2i−2i0000−2i2i0000000-222-2-222i−2i00000000−2i2i2-20000000000000000
χ682-22-22-2−2i2i−2i2i002i−2i2i−2i00-22-22000000-220000-220−2i2i2i−2i2i−2i00002i−2i00000002-2-22-222i−2i000000002i−2i-220000000000000000
χ692-22-22-2−2i2i−2i2i00−2i2i−2i2i002-22-2000000002-22-2000−2i2i−2i2i00−2i2i−2i2i0000000002-22-20000−2i2i2-22-2−2i2i00000000000000000000
χ702-22-22-2−2i2i−2i2i00−2i2i−2i2i002-22-2000000002-2-220002i−2i2i−2i00−2i2i2i−2i000000000-22-220000−2i2i2-2-222i−2i00000000000000000000
χ712-22-22-2−2i2i−2i2i00−2i2i−2i2i002-22-200000000-222-20002i−2i2i−2i002i−2i−2i2i000000000-22-2200002i−2i-222-2−2i2i00000000000000000000
χ722-22-22-2−2i2i−2i2i00−2i2i−2i2i002-22-200000000-22-22000−2i2i−2i2i002i−2i2i−2i0000000002-22-200002i−2i-22-222i−2i00000000000000000000
χ732-22-2-222i−2i−2i2i002i−2i−2i2i002-2-22002-22-22-2002-200000002i−2i00−2i2i000002i−2i2i−2i0000-22−2i2i0000-222i−2i00000000000000000000
χ742-22-2-222i−2i−2i2i002i−2i−2i2i002-2-22002-22-2-2200-220000000−2i2i002i−2i000002i−2i2i−2i00002-22i−2i00002-2−2i2i00000000000000000000
χ752-22-2-222i−2i−2i2i002i−2i−2i2i002-2-2200-22-222-200-2200000002i−2i002i−2i00000−2i2i−2i2i0000-22−2i2i00002-2−2i2i00000000000000000000
χ762-22-2-222i−2i−2i2i002i−2i−2i2i002-2-2200-22-22-22002-20000000−2i2i00−2i2i00000−2i2i−2i2i00002-22i−2i0000-222i−2i00000000000000000000
χ772-22-2-222i−2i−2i2i00−2i2i2i−2i00-222-2002-2-22002-200-2200000002i−2i002i−2i0002i−2i−2i2i00000000−2i2i-220000−2i2i2-20000000000000000
χ782-22-2-222i−2i−2i2i00−2i2i2i−2i00-222-2002-2-2200-22002-20000000−2i2i00−2i2i0002i−2i−2i2i000000002i−2i2-200002i−2i-220000000000000000
χ792-22-2-222i−2i−2i2i00−2i2i2i−2i00-222-200-222-2002-2002-200000002i−2i00−2i2i000−2i2i2i−2i00000000−2i2i-2200002i−2i-220000000000000000
χ802-22-2-222i−2i−2i2i00−2i2i2i−2i00-222-200-222-200-2200-220000000−2i2i002i−2i000−2i2i2i−2i000000002i−2i2-20000−2i2i2-20000000000000000
χ812-22-2-22−2i2i2i−2i002i−2i−2i2i00-222-2002-2-22002-200-220000000−2i2i00−2i2i000−2i2i2i−2i000000002i−2i-2200002i−2i2-20000000000000000
χ822-22-2-22−2i2i2i−2i002i−2i−2i2i00-222-2002-2-2200-22002-200000002i−2i002i−2i000−2i2i2i−2i00000000−2i2i2-20000−2i2i-220000000000000000
χ832-22-2-22−2i2i2i−2i002i−2i−2i2i00-222-200-222-2002-2002-20000000−2i2i002i−2i0002i−2i−2i2i000000002i−2i-220000−2i2i-220000000000000000
χ842-22-2-22−2i2i2i−2i002i−2i−2i2i00-222-200-222-200-2200-2200000002i−2i00−2i2i0002i−2i−2i2i00000000−2i2i2-200002i−2i2-20000000000000000
χ852-22-2-22−2i2i2i−2i00−2i2i2i−2i002-2-22002-22-22-2002-20000000−2i2i002i−2i00000−2i2i−2i2i0000-222i−2i0000-22−2i2i00000000000000000000
χ862-22-2-22−2i2i2i−2i00−2i2i2i−2i002-2-22002-22-2-2200-2200000002i−2i00−2i2i00000−2i2i−2i2i00002-2−2i2i00002-22i−2i00000000000000000000
χ872-22-2-22−2i2i2i−2i00−2i2i2i−2i002-2-2200-22-222-200-220000000−2i2i00−2i2i000002i−2i2i−2i0000-222i−2i00002-22i−2i00000000000000000000
χ882-22-2-22−2i2i2i−2i00−2i2i2i−2i002-2-2200-22-22-22002-200000002i−2i002i−2i000002i−2i2i−2i00002-2−2i2i0000-22−2i2i00000000000000000000
χ8988-8-80000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-880000000000008i−8i00000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88000000000000−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000

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