Finite Group Databasebeta

← Group #7565078

Character table — Group #7565078

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12222222444444444444888888882244444444444444888888888888222222444444444444448888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1
χ4111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-111-1
χ91111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111-111111-111-1-11111-1-111-1-1-1-11-1-11-1-1
χ101111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-11-1-1-111-1-111-1-111-1-111-111-111
χ111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111-1-111111-111-11
χ121111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111111-11-1-11111-1-111-1-111-1-1-11-1-11-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1111-1-1-11111-1-111-1-111-1-11-11-111
χ141111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111111-111-1-11-111-1-1-1-1-1-111-1-11111-11-11-1-1
χ151111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1111-1-1-11-1-111-1-111-1-111-1-1111-1-1-11-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-11-1-111-1111-1-11111-1-111-1-1-1-1-1111-11
χ17111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-11111-1-11111-1-1-1-1-11-1-11-1-1-1
χ18111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1111
χ19111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11
χ20111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1111111-1
χ21111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111
χ22111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111-1111-1-1-1
χ23111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1-1111-1
χ24111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1111-1-1-11
χ25111111111-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1111-1-1-1-111-1-1-1-1111-1-11-1-111
χ26111111111-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11-1-1111111-1-1-1-111-111-111-1-1
χ27111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11-111-1-111-1-11111-1-1-11-111-11-1
χ28111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111111-1-1-111-1-1-1-11111-1-11-11-1-11-11
χ29111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-111-1-1111-1-1-111-11-1-111-1-1-1-11111-1-11-1-1111-1-1
χ30111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-11-111-1-1-1111-1-111-1-11111-1-1-111-1-1-111
χ31111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1111-1-11-1-1-1111111-1-1-1-111-11-11-11-11
χ32111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111-11-11-11-1
χ3322222222-222222222-2-2-200000000-2-22222-2-222-2-22222000000000000000000-2-20000-2-20000000000000000000000
χ3422222222-222222222-2-2-200000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000220000220000000000000000000000
χ3522222222-22222-2-2-2-2-2-2-200000000-2-222-2-222-2-22222-2-2000000000000000000-220000-220000000000000000000000
χ3622222222-22222-2-2-2-2-2-2-200000000-2-2-2-22222-2-222-2-2220000000000000000002-200002-20000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-200000000222222-2-2-2-222-2-2-2-2000000000000000000-2-20000220000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-20000000022-2-2-2-2-2-2-2-2222222000000000000000000220000-2-20000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-22222-2-2-2-222000000000000000000-2200002-20000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2222222-2-222-2-20000000000000000002-20000-220000000000000000000000
χ41222-2-2-2-2202i2i−2i−2i22-2-20002222−2−2−2−2002i−2i2i−2i002i−2i002-22-2i2i2−i2−i222−2−2i2i2−i2−i200000000000000000000i2−i2i2−i22−22−200000000
χ42222-2-2-2-2202i2i−2i−2i22-2-20002222−2−2−2−200−2i2i−2i2i002i−2i00-22-22i2i2−i2−i222−2−2i2i2−i2−i200000000000000000000−i2i2−i2i2−22−2200000000
χ43222-2-2-2-2202i2i−2i−2i22-2-2000−2−2−2−22222002i−2i2i−2i002i−2i002-22-2−i2−i2i2i2−2−222−i2−i2i2i200000000000000000000−i2i2−i2i2−22−2200000000
χ44222-2-2-2-2202i2i−2i−2i22-2-2000−2−2−2−2222200−2i2i−2i2i002i−2i00-22-22−i2−i2i2i2−2−222−i2−i2i2i200000000000000000000i2−i2i2−i22−22−200000000
χ45222-2-2-2-2202i2i−2i−2i-2-2220002222−2−2−2−2002i−2i−2i2i00−2i2i002-2-22i2i2−i2−i2−2−222−i2−i2i2i200000000000000000000i2−i2−i2i22−2−2200000000
χ46222-2-2-2-2202i2i−2i−2i-2-2220002222−2−2−2−200−2i2i2i−2i00−2i2i00-222-2i2i2−i2−i2−2−222−i2−i2i2i200000000000000000000−i2i2i2−i2−222−200000000
χ47222-2-2-2-2202i2i−2i−2i-2-222000−2−2−2−22222002i−2i−2i2i00−2i2i002-2-22−i2−i2i2i222−2−2i2i2−i2−i200000000000000000000−i2i2i2−i2−222−200000000
χ48222-2-2-2-2202i2i−2i−2i-2-222000−2−2−2−2222200−2i2i2i−2i00−2i2i00-222-2−i2−i2i2i222−2−2i2i2−i2−i200000000000000000000i2−i2−i2i22−2−2200000000
χ49222-2-2-2-220−2i−2i2i2i22-2-20002222−2−2−2−2002i−2i2i−2i00−2i2i00-22-22−i2−i2i2i222−2−2−i2−i2i2i200000000000000000000i2−i2i2−i2−22−2200000000
χ50222-2-2-2-220−2i−2i2i2i22-2-20002222−2−2−2−200−2i2i−2i2i00−2i2i002-22-2−i2−i2i2i222−2−2−i2−i2i2i200000000000000000000−i2i2−i2i22−22−200000000
χ51222-2-2-2-220−2i−2i2i2i22-2-2000−2−2−2−22222002i−2i2i−2i00−2i2i00-22-22i2i2−i2−i2−2−222i2i2−i2−i200000000000000000000−i2i2−i2i22−22−200000000
χ52222-2-2-2-220−2i−2i2i2i22-2-2000−2−2−2−2222200−2i2i−2i2i00−2i2i002-22-2i2i2−i2−i2−2−222i2i2−i2−i200000000000000000000i2−i2i2−i2−22−2200000000
χ53222-2-2-2-220−2i−2i2i2i-2-2220002222−2−2−2−2002i−2i−2i2i002i−2i00-222-2−i2−i2i2i2−2−222i2i2−i2−i200000000000000000000i2−i2−i2i2−222−200000000
χ54222-2-2-2-220−2i−2i2i2i-2-2220002222−2−2−2−200−2i2i2i−2i002i−2i002-2-22−i2−i2i2i2−2−222i2i2−i2−i200000000000000000000−i2i2i2−i22−2−2200000000
χ55222-2-2-2-220−2i−2i2i2i-2-222000−2−2−2−22222002i−2i−2i2i002i−2i00-222-2i2i2−i2−i222−2−2−i2−i2i2i200000000000000000000−i2i2i2−i22−2−2200000000
χ56222-2-2-2-220−2i−2i2i2i-2-222000−2−2−2−2222200−2i2i2i−2i002i−2i002-2-22i2i2−i2−i222−2−2−i2−i2i2i200000000000000000000i2−i2−i2i2−222−200000000
χ5722-222-2-2-2-22-22-200002-222i2i−2i−2i2i2i−2i−2i2-2000000000000002i−2i2i−2i0000000000002-2002-22i−2i0000002i−2i0000000000000000
χ5822-222-2-2-2-22-22-200002-222i2i−2i−2i2i2i−2i−2i2-2000000000000002i−2i2i−2i000000000000-2200-22−2i2i000000−2i2i0000000000000000
χ5922-222-2-2-2-22-22-200002-22−2i−2i2i2i−2i−2i2i2i2-200000000000000−2i2i−2i2i0000000000002-2002-2−2i2i000000−2i2i0000000000000000
χ6022-222-2-2-2-22-22-200002-22−2i−2i2i2i−2i−2i2i2i2-200000000000000−2i2i−2i2i000000000000-2200-222i−2i0000002i−2i0000000000000000
χ6122-222-2-2-2-2-22-2200002-222i2i−2i−2i2i2i−2i−2i-2200000000000000−2i2i−2i2i0000000000002-200-22−2i2i0000002i−2i0000000000000000
χ6222-222-2-2-2-2-22-2200002-222i2i−2i−2i2i2i−2i−2i-2200000000000000−2i2i−2i2i000000000000-22002-22i−2i000000−2i2i0000000000000000
χ6322-222-2-2-2-2-22-2200002-22−2i−2i2i2i−2i−2i2i2i-22000000000000002i−2i2i−2i0000000000002-200-222i−2i000000−2i2i0000000000000000
χ6422-222-2-2-2-2-22-2200002-22−2i−2i2i2i−2i−2i2i2i-22000000000000002i−2i2i−2i000000000000-22002-2−2i2i0000002i−2i0000000000000000
χ652-2-2-22-222-200002-22-2-2222-22-22-22-20000002-20000000000002-22-200002-22-200000000002-22-2000000000000000000
χ662-2-2-22-222-200002-22-2-2222-22-22-22-20000002-20000000000002-22-20000-22-220000000000-22-22000000000000000000
χ672-2-2-22-222-200002-22-2-222-22-22-22-220000002-2000000000000-22-2200002-22-20000000000-22-22000000000000000000
χ682-2-2-22-222-200002-22-2-222-22-22-22-220000002-2000000000000-22-220000-22-2200000000002-22-2000000000000000000
χ692-2-2-22-222-20000-22-22-2222-22-22-22-2000000-22000000000000-22-2200002-2-2200000000002-2-22000000000000000000
χ702-2-2-22-222-20000-22-22-2222-22-22-22-2000000-22000000000000-22-220000-222-20000000000-222-2000000000000000000
χ712-2-2-22-222-20000-22-22-222-22-22-22-22000000-220000000000002-22-200002-2-220000000000-222-2000000000000000000
χ722-2-2-22-222-20000-22-22-222-22-22-22-22000000-220000000000002-22-20000-222-200000000002-2-22000000000000000000
χ7344-444-4-4-444-44-40000-44-400000000-4400000000000000000000000000000000000000000000000000000000000000
χ7444-444-4-4-44-44-440000-44-4000000004-400000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-444-404i−4i−4i4i00000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000−222222−2200000000000000000000000000000000000000000000
χ7644-4-4-444-404i−4i−4i4i0000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000022−22−222200000000000000000000000000000000000000000000
χ7744-4-4-444-40−4i4i4i−4i00000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000022−22−222200000000000000000000000000000000000000000000
χ7844-4-4-444-40−4i4i4i−4i0000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000−222222−2200000000000000000000000000000000000000000000
χ794-444-4-44-40000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000004i−4i00000000000022−2222−22000000000000000000000000000000000000
χ804-444-4-44-40000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000−4i4i000000000000−2222−2222000000000000000000000000000000000000
χ814-444-4-44-4000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000004i−4i000000000000−2222−2222000000000000000000000000000000000000
χ824-444-4-44-4000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000−4i4i00000000000022−2222−22000000000000000000000000000000000000
χ834-44-444-4-4400000000-4-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ844-44-444-4-4400000000-4-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ854-44-444-4-4-40000000044-4000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ864-44-444-4-4-40000000044-400000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ874-4-44-44-44000004-4-4400022−2222−22−2222−22220000000000000000000022−22−22220000000000000000000000000000000000000000
χ884-4-44-44-44000004-4-44000−2222−222222−2222−2200000000000000000000−222222−220000000000000000000000000000000000000000
χ894-4-44-44-4400000-444-400022−2222−22−2222−222200000000000000000000−222222−220000000000000000000000000000000000000000
χ904-4-44-44-4400000-444-4000−2222−222222−2222−220000000000000000000022−22−22220000000000000000000000000000000000000000
χ914-4-4-44-444400004-44-44-4-400000000000000-4400000000000000000000000000000000000000000000000000000000
χ924-4-4-44-44440000-44-444-4-4000000000000004-400000000000000000000000000000000000000000000000000000000

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