Finite Group Databasebeta

← Group #6579708

Character table — Group #6579708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222444444444444444488888888222244444444444444444488888888888822244444444444448888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111111111-1-1-1-1-1-11111111111111111-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111111111-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111111111-11111-1-1-1
χ9111111111111-1-1-1-11-1-1-1-111111111111-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1111-1-111-1-1-11-11-11-11
χ10111111111111-1-1-1-11-1-1-1-111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-111-1-111111-1-111-1-11-11-11-11-1
χ11111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-111-1-1111-11-11-11-1
χ12111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-111-1-111-1-1-111-1-111-11-11-11-11
χ13111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-111-1-1-1-1111-1-111-1-11111-11-1-11-1
χ14111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1111-1-1-11111-1-11-1-111-1-111-1-11-111-11
χ15111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1111-1-1-1-111-111-1-111-1-1-1-11-111-11
χ16111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111111-1-111-11-1-11111-1-1-111-1-111-1-111-11-1-11-1
χ1711111111-1-1-1-111111-1-1-1-111111111111-1-1111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-11
χ1811111111-1-1-1-111111-1-1-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-1-11-1-1-1-11111-1-1-11111-1
χ1911111111-1-1-1-111111-1-1-1-111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-11111-1-1-1-1-1-1-11111-1
χ2011111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-111-1-1-11111-1-1-1-1111-1-1-1-11
χ2111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1
χ2211111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111-1-111-1-111-1-1-1-11111111-1-1-1-11-1-111-1-11
χ2311111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1-111111-1-111-1-11
χ2411111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1111111-1-1-1-111-1-1-1-1-11111-111-1-111-1
χ2511111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11111-11-1-1-1-1-1-1-1-11-1-11111-1-1-11-1-11-111
χ2611111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-11-111-11-1-1
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-11-1-1
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-111111111-111-1-1-1-111-11-1-11-111
χ2911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11-1-1-1-11111111-1-1-1-11111-1-111-1-1
χ3011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-111-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-111
χ3111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-11111-1-1-11111-1-1-1-111-1-111
χ3211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1111-1-11-11111-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ332222222222222222-22222-2-2-200000000-2-2220000-2-2-2-22222220000000000000000-20000-2-200000000-20000000000000000
χ342222222222222222-22222-2-2-200000000-2-2-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000020000220000000020000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000-2-22222-2-2-2-2000000000000000020000-2200000000-20000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-20000-2-222-2-222220000000000000000-200002-20000000020000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-2000000002222000022-2-2-2-2-2-2220000000000000000-200002200000000-20000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-2000022-2-22222-2-2000000000000000020000-2-20000000020000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-200000000-2-22200002222-2-222-2-20000000000000000200002-200000000-20000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-200000000-2-2-2-20000222222-2-2220000000000000000-20000-220000000020000000000000000
χ41222-2-2-2-222i2i−2i−2i000020000-2-222222-2-2-2-2000022-2-22i−2i0000000022-2-22i2i−2i−2i0000000000000002i−2i002i−2i0000000000000000000
χ42222-2-2-2-222i2i−2i−2i000020000-2-222222-2-2-2-20000-2-2222i−2i00000000-2-2222i2i−2i−2i000000000000000−2i2i00−2i2i0000000000000000000
χ43222-2-2-2-222i2i−2i−2i000020000-2-22-2-2-2-22222000022-2-22i−2i00000000-2-222−2i−2i2i2i0000000000000002i−2i00−2i2i0000000000000000000
χ44222-2-2-2-222i2i−2i−2i000020000-2-22-2-2-2-222220000-2-2222i−2i0000000022-2-2−2i−2i2i2i000000000000000−2i2i002i−2i0000000000000000000
χ45222-2-2-2-22−2i−2i2i2i000020000-2-222222-2-2-2-2000022-2-2−2i2i0000000022-2-2−2i−2i2i2i000000000000000−2i2i00−2i2i0000000000000000000
χ46222-2-2-2-22−2i−2i2i2i000020000-2-222222-2-2-2-20000-2-222−2i2i00000000-2-222−2i−2i2i2i0000000000000002i−2i002i−2i0000000000000000000
χ47222-2-2-2-22−2i−2i2i2i000020000-2-22-2-2-2-22222000022-2-2−2i2i00000000-2-2222i2i−2i−2i000000000000000−2i2i002i−2i0000000000000000000
χ48222-2-2-2-22−2i−2i2i2i000020000-2-22-2-2-2-222220000-2-222−2i2i0000000022-2-22i2i−2i−2i0000000000000002i−2i00−2i2i0000000000000000000
χ4922-222-2-2-22-22-22i2i−2i−2i02i2i−2i−2i000i2i2−i2−i2i2i2−i2−i2002-2000000002-22i−2i2i−2i0000i2−i2i2−i222−2−222−2−20000000000000000i2−i22−2i2−i22−200000000
χ5022-222-2-2-22-22-22i2i−2i−2i02i2i−2i−2i000i2i2−i2−i2i2i2−i2−i200-2200000000-22−2i2i−2i2i0000i2−i2i2−i222−2−222−2−20000000000000000−i2i2−22−i2i2−2200000000
χ5122-222-2-2-22-22-22i2i−2i−2i02i2i−2i−2i000−i2−i2i2i2−i2−i2i2i2002-2000000002-22i−2i2i−2i0000−i2i2−i2i2−2−222−2−2220000000000000000−i2i2−22−i2i2−2200000000
χ5222-222-2-2-22-22-22i2i−2i−2i02i2i−2i−2i000−i2−i2i2i2−i2−i2i2i200-2200000000-22−2i2i−2i2i0000−i2i2−i2i2−2−222−2−2220000000000000000i2−i22−2i2−i22−200000000
χ5322-222-2-2-22-22-2−2i−2i2i2i0−2i−2i2i2i000i2i2−i2−i2i2i2−i2−i2002-2000000002-2−2i2i−2i2i0000i2−i2i2−i2−2−222−2−2220000000000000000i2−i2−22i2−i2−2200000000
χ5422-222-2-2-22-22-2−2i−2i2i2i0−2i−2i2i2i000i2i2−i2−i2i2i2−i2−i200-2200000000-222i−2i2i−2i0000i2−i2i2−i2−2−222−2−2220000000000000000−i2i22−2−i2i22−200000000
χ5522-222-2-2-22-22-2−2i−2i2i2i0−2i−2i2i2i000−i2−i2i2i2−i2−i2i2i2002-2000000002-2−2i2i−2i2i0000−i2i2−i2i222−2−222−2−20000000000000000−i2i22−2−i2i22−200000000
χ5622-222-2-2-22-22-2−2i−2i2i2i0−2i−2i2i2i000−i2−i2i2i2−i2−i2i2i200-2200000000-222i−2i2i−2i0000−i2i2−i2i222−2−222−2−20000000000000000i2−i2−22i2−i2−2200000000
χ5722-222-2-2-2-22-222i2i−2i−2i0−2i−2i2i2i000i2i2−i2−i2i2i2−i2−i2002-200000000-22−2i2i2i−2i0000−i2i2−i2i222−2−2−2−2220000000000000000−i2i2−22i2−i22−200000000
χ5822-222-2-2-2-22-222i2i−2i−2i0−2i−2i2i2i000i2i2−i2−i2i2i2−i2−i200-22000000002-22i−2i−2i2i0000−i2i2−i2i222−2−2−2−2220000000000000000i2−i22−2−i2i2−2200000000
χ5922-222-2-2-2-22-222i2i−2i−2i0−2i−2i2i2i000−i2−i2i2i2−i2−i2i2i2002-200000000-22−2i2i2i−2i0000i2−i2i2−i2−2−22222−2−20000000000000000i2−i22−2−i2i2−2200000000
χ6022-222-2-2-2-22-222i2i−2i−2i0−2i−2i2i2i000−i2−i2i2i2−i2−i2i2i200-22000000002-22i−2i−2i2i0000i2−i2i2−i2−2−22222−2−20000000000000000−i2i2−22i2−i22−200000000
χ6122-222-2-2-2-22-22−2i−2i2i2i02i2i−2i−2i000i2i2−i2−i2i2i2−i2−i2002-200000000-222i−2i−2i2i0000−i2i2−i2i2−2−22222−2−20000000000000000−i2i22−2i2−i2−2200000000
χ6222-222-2-2-2-22-22−2i−2i2i2i02i2i−2i−2i000i2i2−i2−i2i2i2−i2−i200-22000000002-2−2i2i2i−2i0000−i2i2−i2i2−2−22222−2−20000000000000000i2−i2−22−i2i22−200000000
χ6322-222-2-2-2-22-22−2i−2i2i2i02i2i−2i−2i000−i2−i2i2i2−i2−i2i2i2002-200000000-222i−2i−2i2i0000i2−i2i2−i222−2−2−2−2220000000000000000i2−i2−22−i2i22−200000000
χ6422-222-2-2-2-22-22−2i−2i2i2i02i2i−2i−2i000−i2−i2i2i2−i2−i2i2i200-22000000002-2−2i2i2i−2i0000i2−i2i2−i222−2−2−2−2220000000000000000−i2i22−2i2−i2−2200000000
χ652-2-22-22-2200002-22-2200002-2-22i−2i2i−2i2i−2i2i−2i00002i−2i2i−2i002-20000002-22-200002i−2i2i−2i00000000000002i−2i002-200000000000000000
χ662-2-22-22-2200002-22-2200002-2-22i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i002-2000000-22-2200002i−2i2i−2i0000000000000−2i2i00-2200000000000000000
χ672-2-22-22-2200002-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i002-2000000-22-220000−2i2i−2i2i00000000000002i−2i00-2200000000000000000
χ682-2-22-22-2200002-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i0000−2i2i−2i2i002-20000002-22-20000−2i2i−2i2i0000000000000−2i2i002-200000000000000000
χ692-2-22-22-220000-22-22200002-2-22i−2i2i−2i2i−2i2i−2i00002i−2i2i−2i00-220000002-22-20000−2i2i−2i2i0000000000000−2i2i00-2200000000000000000
χ702-2-22-22-220000-22-22200002-2-22i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i00-22000000-22-220000−2i2i−2i2i00000000000002i−2i002-200000000000000000
χ712-2-22-22-220000-22-22200002-2-2−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i00-22000000-22-2200002i−2i2i−2i0000000000000−2i2i002-200000000000000000
χ722-2-22-22-220000-22-22200002-2-2−2i2i−2i2i−2i2i−2i2i0000−2i2i−2i2i00-220000002-22-200002i−2i2i−2i00000000000002i−2i00-2200000000000000000
χ732-2-2-22-2220000000022-22-2-22-22i−2i2i−2i−2i2i−2i2i2-2002i−2i−2i2i00000000002-2-22000000002i−2i2i−2i02-22i−2i000000000000000000000000000
χ742-2-2-22-2220000000022-22-2-22-22i−2i2i−2i−2i2i−2i2i2-200−2i2i2i−2i0000000000-222-2000000002i−2i2i−2i0-22−2i2i000000000000000000000000000
χ752-2-2-22-2220000000022-22-2-22-2−2i2i−2i2i2i−2i2i−2i2-2002i−2i−2i2i0000000000-222-200000000−2i2i−2i2i0-222i−2i000000000000000000000000000
χ762-2-2-22-2220000000022-22-2-22-2−2i2i−2i2i2i−2i2i−2i2-200−2i2i2i−2i00000000002-2-2200000000−2i2i−2i2i02-2−2i2i000000000000000000000000000
χ772-2-2-22-222000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i-22002i−2i−2i2i00000000002-2-2200000000−2i2i−2i2i0-22−2i2i000000000000000000000000000
χ782-2-2-22-222000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i-2200−2i2i2i−2i0000000000-222-200000000−2i2i−2i2i02-22i−2i000000000000000000000000000
χ792-2-2-22-222000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22002i−2i−2i2i0000000000-222-2000000002i−2i2i−2i02-2−2i2i000000000000000000000000000
χ802-2-2-22-222000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i-2200−2i2i2i−2i00000000002-2-22000000002i−2i2i−2i0-222i−2i000000000000000000000000000
χ81444-4-4-4-444i4i−4i−4i0000-4000044-40000000000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-44−4i−4i4i4i0000-4000044-400000000000000004i−4i00000000000000000000000000000000000000000000000000000000
χ8344-4-4-444-44i−4i−4i4i0000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000−222222−220000000000000000000000000000000000000000
χ8444-4-4-444-44i−4i−4i4i000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000022−22−22220000000000000000000000000000000000000000
χ8544-4-4-444-4−4i4i4i−4i0000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000022−22−22220000000000000000000000000000000000000000
χ8644-4-4-444-4−4i4i4i−4i000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000−222222−220000000000000000000000000000000000000000
χ874-444-4-44-400004i−4i−4i4i0000000022−22−222222−22−222200000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000
χ884-444-4-44-400004i−4i−4i4i00000000−222222−22−222222−22000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ894-444-4-44-40000−4i4i4i−4i0000000022−22−222222−22−2222000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ904-444-4-44-40000−4i4i4i−4i00000000−222222−22−222222−2200000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000
χ914-44-444-4-40000000004i−4i−4i4i00022−22−2222−222222−22000000000000000000000000000000−2i22i22i2−2i200000000000000000000000000000000
χ924-44-444-4-40000000004i−4i−4i4i000−222222−2222−22−22220000000000000000000000000000002i2−2i2−2i22i200000000000000000000000000000000
χ934-44-444-4-4000000000−4i4i4i−4i00022−22−2222−222222−220000000000000000000000000000002i2−2i2−2i22i200000000000000000000000000000000
χ944-44-444-4-4000000000−4i4i4i−4i000−222222−2222−22−2222000000000000000000000000000000−2i22i22i2−2i200000000000000000000000000000000
χ954-4-44-44-4400004-44-4-40000-444000000000000000000-44000000000000000000000000000000000000000000000000000000
χ964-4-44-44-440000-44-44-40000-4440000000000000000004-4000000000000000000000000000000000000000000000000000000
χ974-4-4-44-44400000000-44-44-44-4400000000-440000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-44-44400000000-4-44-444-44000000004-40000000000000000000000000000000000000000000000000000000000000000

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