Finite Group Databasebeta

← Group #6627765

Character table — Group #6627765

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222444444444444444444444444444444444444444444888888884444444444444444444888888888888222244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1
χ711111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-111111111-1-1-1-111
χ91111111111111-1-1-1-11111-1-1-1-11111111-1-111-1-111-1-111-1-1111111111111-1-11-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ101111111111111-1-1-1-11111-1-1-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ121111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-11111111111-1-1-1-1111111-1-1-1-1
χ131111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-11-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ141111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ151111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ161111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1
χ1711111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ1811111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11
χ1911111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-111-1-111-1-1-11-11-11
χ2011111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-11111-1-1-1-111-1-111-1-1111-11-11-1
χ2111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-111-1-111-1-1-1-111-1-111-11-111-1
χ2211111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-111-1-11111-1-111-1-11-11-1-11
χ2311111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-111-1-11111-1-1-1-111-1-1111-11-1-11
χ2411111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-11-111-1
χ2511111111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1111-1-11-11
χ2611111111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-1-111-11-1
χ2711111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-11-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111-111-11-1
χ2811111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111111-11-1-11111-1-11-1-111-1-111-1-1-1-11111-1-11-1-11-11
χ2911111111-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-111111-1-1-1-111-1-11111-1-1-111-1-11
χ3011111111-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1111-1-11111-1-111-1-1-1-1111-1-111-1
χ3111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1111-111-1-1-1-1111-1-1-1-111-1-111-1-11111-1-11-1-111-1
χ3211111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111111-111-1-1-1-1111-1-111-1-111-1-111-1-1-1-111-111-1-11
χ33222222222222-2222222222222-2-2-20000-2-22222-2-222-2-2-2-200000000000000-2-200000000-2000000000000000000000000
χ34222222222222-22222-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2222222000000000000002200000000-2000000000000000000000000
χ35222222222222-2-2-2-2-22222-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-22200000000000000-22000000002000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-22222-2-2-2000022-2-222-2-2-2-222-2-2000000000000002-2000000002000000000000000000000000
χ3722222222-2-2-2-2-2222222222222-2-2-20000-2-2-2-2-2-222-2-2-2-2-2-20000000000000022000000002000000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-20000-2-2222222-2-2222200000000000000-2-2000000002000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2000022-2-2222222-2-222000000000000002-200000000-2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-200002222-2-2222222-2-200000000000000-2200000000-2000000000000000000000000
χ41222-22-2-2-222-2-2-20000000000002-2222-2-20000002-200000022-2-22i2i−2i−2i2i2i−2i−2i0000000000000002i−2i2i−2i000000000000000000
χ42222-22-2-2-222-2-2-20000000000002-2222-2-20000002-200000022-2-2−2i−2i2i2i−2i−2i2i2i000000000000000−2i2i−2i2i000000000000000000
χ43222-22-2-2-222-2-2-20000000000002-22-2-2220000002-2000000-2-2222i2i−2i−2i2i2i−2i−2i000000000000000−2i2i−2i2i000000000000000000
χ44222-22-2-2-222-2-2-20000000000002-22-2-2220000002-2000000-2-222−2i−2i2i2i−2i−2i2i2i0000000000000002i−2i2i−2i000000000000000000
χ45222-22-2-2-2-2-222-20000000000002-2222-2-2000000-22000000-2-2222i2i−2i−2i−2i−2i2i2i0000000000000002i−2i−2i2i000000000000000000
χ46222-22-2-2-2-2-222-20000000000002-2222-2-2000000-22000000-2-222−2i−2i2i2i2i2i−2i−2i000000000000000−2i2i2i−2i000000000000000000
χ47222-22-2-2-2-2-222-20000000000002-22-2-222000000-2200000022-2-22i2i−2i−2i−2i−2i2i2i000000000000000−2i2i2i−2i000000000000000000
χ48222-22-2-2-2-2-222-20000000000002-22-2-222000000-2200000022-2-2−2i−2i2i2i2i2i−2i−2i0000000000000002i−2i−2i2i000000000000000000
χ4922-2-2-222-22-22-2022-2-22i2i−2i−2i2i2i−2i−2i0000000002i−2i2i−2i002-2000000002−22−22−22−200000000000000000002−22−2i2−i2i2−i2i2−i2i2−i2000000
χ5022-2-2-222-22-22-2022-2-22i2i−2i−2i2i2i−2i−2i0000000002i−2i2i−2i002-200000000−22−22−22−220000000000000000000−22−22−i2i2−i2i2−i2i2−i2i2000000
χ5122-2-2-222-22-22-2022-2-2−2i−2i2i2i−2i−2i2i2i000000000−2i2i−2i2i002-2000000002−22−22−22−200000000000000000002−22−2−i2i2−i2i2−i2i2−i2i2000000
χ5222-2-2-222-22-22-2022-2-2−2i−2i2i2i−2i−2i2i2i000000000−2i2i−2i2i002-200000000−22−22−22−220000000000000000000−22−22i2−i2i2−i2i2−i2i2−i2000000
χ5322-2-2-222-22-22-20-2-2222i2i−2i−2i−2i−2i2i2i0000000002i−2i−2i2i00-22000000002−22−22−22−20000000000000000000−22−22i2−i2i2−i2−i2i2−i2i2000000
χ5422-2-2-222-22-22-20-2-2222i2i−2i−2i−2i−2i2i2i0000000002i−2i−2i2i00-2200000000−22−22−22−2200000000000000000002−22−2−i2i2−i2i2i2−i2i2−i2000000
χ5522-2-2-222-22-22-20-2-222−2i−2i2i2i2i2i−2i−2i000000000−2i2i2i−2i00-22000000002−22−22−22−20000000000000000000−22−22−i2i2−i2i2i2−i2i2−i2000000
χ5622-2-2-222-22-22-20-2-222−2i−2i2i2i2i2i−2i−2i000000000−2i2i2i−2i00-2200000000−22−22−22−2200000000000000000002−22−2i2−i2i2−i2−i2i2−i2i2000000
χ5722-2-2-222-2-22-22022-2-22i2i−2i−2i2i2i−2i−2i000000000−2i2i−2i2i00-22000000002−22−2−22−2200000000000000000002−2−22i2−i2−i2i2i2−i2−i2i2000000
χ5822-2-2-222-2-22-22022-2-22i2i−2i−2i2i2i−2i−2i000000000−2i2i−2i2i00-2200000000−22−222−22−20000000000000000000−222−2−i2i2i2−i2−i2i2i2−i2000000
χ5922-2-2-222-2-22-22022-2-2−2i−2i2i2i−2i−2i2i2i0000000002i−2i2i−2i00-22000000002−22−2−22−2200000000000000000002−2−22−i2i2i2−i2−i2i2i2−i2000000
χ6022-2-2-222-2-22-22022-2-2−2i−2i2i2i−2i−2i2i2i0000000002i−2i2i−2i00-2200000000−22−222−22−20000000000000000000−222−2i2−i2−i2i2i2−i2−i2i2000000
χ6122-2-2-222-2-22-220-2-2222i2i−2i−2i−2i−2i2i2i000000000−2i2i2i−2i002-2000000002−22−2−22−220000000000000000000−222−2i2−i2−i2i2−i2i2i2−i2000000
χ6222-2-2-222-2-22-220-2-2222i2i−2i−2i−2i−2i2i2i000000000−2i2i2i−2i002-200000000−22−222−22−200000000000000000002−2−22−i2i2i2−i2i2−i2−i2i2000000
χ6322-2-2-222-2-22-220-2-222−2i−2i2i2i2i2i−2i−2i0000000002i−2i−2i2i002-2000000002−22−2−22−220000000000000000000−222−2−i2i2i2−i2i2−i2−i2i2000000
χ6422-2-2-222-2-22-220-2-222−2i−2i2i2i2i2i−2i−2i0000000002i−2i−2i2i002-200000000−22−222−22−200000000000000000002−2−22i2−i2−i2i2−i2i2i2−i2000000
χ652-222-22-2-2000022-22-22i−2i2i−2i2i−2i2i−2i-2-222-22-22-2000000002i−2i2i−2i0000000000002-2002i−2i002i−2i000000000000000000000000000
χ662-222-22-2-2000022-22-22i−2i2i−2i2i−2i2i−2i-2-22-22-222-2000000002i−2i2i−2i000000000000-2200−2i2i00−2i2i000000000000000000000000000
χ672-222-22-2-2000022-22-2−2i2i−2i2i−2i2i−2i2i-2-222-22-22-200000000−2i2i−2i2i0000000000002-200−2i2i00−2i2i000000000000000000000000000
χ682-222-22-2-2000022-22-2−2i2i−2i2i−2i2i−2i2i-2-22-22-222-200000000−2i2i−2i2i000000000000-22002i−2i002i−2i000000000000000000000000000
χ692-222-22-2-200002-22-222i−2i2i−2i−2i2i−2i2i-2-222-22-2-22000000002i−2i−2i2i000000000000-22002i−2i00−2i2i000000000000000000000000000
χ702-222-22-2-200002-22-222i−2i2i−2i−2i2i−2i2i-2-22-22-22-22000000002i−2i−2i2i0000000000002-200−2i2i002i−2i000000000000000000000000000
χ712-222-22-2-200002-22-22−2i2i−2i2i2i−2i2i−2i-2-222-22-2-2200000000−2i2i2i−2i000000000000-2200−2i2i002i−2i000000000000000000000000000
χ722-222-22-2-200002-22-22−2i2i−2i2i2i−2i2i−2i-2-22-22-22-2200000000−2i2i2i−2i0000000000002-2002i−2i00−2i2i000000000000000000000000000
χ732-222-22-2-20000-22-22-22i−2i2i−2i2i−2i2i−2i22-20000-2200000000−2i2i−2i2i2i−2i2i−2i000000000000002-2002-202i−2i0000000000000000000000
χ742-222-22-2-20000-22-22-22i−2i2i−2i2i−2i2i−2i22-20000-2200000000−2i2i−2i2i−2i2i−2i2i00000000000000-2200-220−2i2i0000000000000000000000
χ752-222-22-2-20000-22-22-2−2i2i−2i2i−2i2i−2i2i22-20000-22000000002i−2i2i−2i2i−2i2i−2i00000000000000-2200-2202i−2i0000000000000000000000
χ762-222-22-2-20000-22-22-2−2i2i−2i2i−2i2i−2i2i22-20000-22000000002i−2i2i−2i−2i2i−2i2i000000000000002-2002-20−2i2i0000000000000000000000
χ772-222-22-2-20000-2-22-222i−2i2i−2i−2i2i−2i2i22-200002-200000000−2i2i2i−2i2i−2i2i−2i000000000000002-200-220−2i2i0000000000000000000000
χ782-222-22-2-20000-2-22-222i−2i2i−2i−2i2i−2i2i22-200002-200000000−2i2i2i−2i−2i2i−2i2i00000000000000-22002-202i−2i0000000000000000000000
χ792-222-22-2-20000-2-22-22−2i2i−2i2i2i−2i2i−2i22-200002-2000000002i−2i−2i2i2i−2i2i−2i00000000000000-22002-20−2i2i0000000000000000000000
χ802-222-22-2-20000-2-22-22−2i2i−2i2i2i−2i2i−2i22-200002-2000000002i−2i−2i2i−2i2i−2i2i000000000000002-200-2202i−2i0000000000000000000000
χ81444-44-4-4-444-4-44000000000000-44-40000000000-440000000000000000000000000000000000000000000000000000000
χ82444-44-4-4-4-4-4444000000000000-44-400000000004-40000000000000000000000000000000000000000000000000000000
χ8344-44-4-4-444-4-44000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000
χ8444-44-4-4-444-4-4400000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000
χ8544-44-4-4-44-444-4000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000
χ8644-44-4-4-44-444-400000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000
χ874-44-4-4-444000040000000000004-4-40000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000
χ884-44-4-4-444000040000000000004-4-4000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ894-44-4-4-4440000-4000000000000-4444-4-44000000000000000000000000000000000000000000000000000000000000000
χ904-44-4-4-4440000-4000000000000-444-444-4000000000000000000000000000000000000000000000000000000000000000
χ914-4-4-444-44000004-4-444-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4-444-44000004-4-44-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4-444-4400000-444-44-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-4-444-4400000-444-4-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-888-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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