Finite Group Databasebeta

← Group #6575340

Character table — Group #6575340

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111111222222222222222222224444444444444444444444444444448888888888888888888888888888888161616161616
order12222222222244444444444444442222224444444444444444888888882222444444444444444888888888888444444
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
χ3111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11-1-1-1-11-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-111-1-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ611111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-111-1-1-1-1-111-1-1-1-11111-1-111-11-11-11
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-111-1-1-111-1-1-1111111-1-1-1-111-1-1-11-11-11
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-111-111-1-1-1-1-1-11111-1-1111-11-11-1
χ9111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ10111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-111111111-1-1-1-11111-1-1
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1111111111111-1-1-1-1-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-11-111-1
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-1-11-1-1111111-1-1-1-1-1-1111-11-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111111-1-111-1-1-1-1111111-1-11-11-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-11111111-1-11111-1-1-1-1-1-111-11-111-1
χ1711111111-1-1-1-11111-1-1-1-111111111-1-111111111-1-111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1
χ1811111111-1-1-1-11111-1-1-1-111111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-11111-1-111-1-111111111-1-1-1-1
χ2111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-1-111111-1-111-1-1-1-111-1-1111-1-11-11
χ2211111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1-1111-1-111-1-11111-1-111-1-1-111-11-1
χ2311111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111111-1-11-1-11111-1-1-1-111-1-111-111-11-1
χ2411111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-1111-1-1-1-11111-1-111-1-11-1-11-11
χ2511111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-11111-1-111111111-1-111-1-1-1-1-1-111-1-111111-1-111-1-111-1-1-1-1-1-111-1-1
χ2611111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-111-1-111-1-1111111-1-111
χ2711111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ2811111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1111111111-1-111-1-11111-1-111-1-1
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111111-111-1-1-1-11111-1-1-1-111-111-1-11
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-11111-1-1-1-11111-1-11-1-111-1
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-11
χ33222222222222222222222222-2-2-2-222000022-2-2-2-2-2-2220000-2-2000000000000-20000-20000-20000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-222-2-20000-2-2000000000000200002000020000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000-2-22222-2-2220000-2-200000000000020000-2000020000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000022222222-2-20000-2-2000000000000-2000020000-20000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2000022-2-222-2-2-2-2000022000000000000-200002000020000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-222222200002200000000000020000-20000-20000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222222-2-2-2-2220000-2-222-2-2-2-2-2-20000220000000000002000020000-20000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200002222-2-22222000022000000000000-20000-2000020000000000000000000000
χ41222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i00002-2-220022-2-2002i−2i2i−2i000000002-2000000002-20002i−2i0002i−2i0000000000000000000000000
χ42222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i00002-2-2200-2-222002i−2i2i−2i000000002-200000000-22000−2i2i000−2i2i0000000000000000000000000
χ43222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i0000-222-200000000−2i2i−2i2i00002i2i−2i−2i-2200000000002-20002-20002i−2i00000000000000000000000
χ44222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i0000-222-200000000−2i2i−2i2i0000−2i−2i2i2i-220000000000-22000-22000−2i2i00000000000000000000000
χ45222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i00002-2-220022-2-200−2i2i−2i2i000000002-2000000002-2000−2i2i000−2i2i0000000000000000000000000
χ46222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i00002-2-2200-2-22200−2i2i−2i2i000000002-200000000-220002i−2i0002i−2i0000000000000000000000000
χ47222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i0000-222-2000000002i−2i2i−2i00002i2i−2i−2i-220000000000-22000-220002i−2i00000000000000000000000
χ48222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i0000-222-2000000002i−2i2i−2i0000−2i−2i2i2i-2200000000002-20002-2000−2i2i00000000000000000000000
χ49222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i00002-2-220022-2-2002i−2i−2i2i00000000-2200000000-220002i−2i000−2i2i0000000000000000000000000
χ50222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i00002-2-2200-2-222002i−2i−2i2i00000000-22000000002-2000−2i2i0002i−2i0000000000000000000000000
χ51222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i0000-222-200000000−2i2i2i−2i00002i2i−2i−2i2-20000000000-220002-2000−2i2i00000000000000000000000
χ52222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i0000-222-200000000−2i2i2i−2i0000−2i−2i2i2i2-200000000002-2000-220002i−2i00000000000000000000000
χ53222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i00002-2-220022-2-200−2i2i2i−2i00000000-2200000000-22000−2i2i0002i−2i0000000000000000000000000
χ54222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i00002-2-2200-2-22200−2i2i2i−2i00000000-22000000002-20002i−2i000−2i2i0000000000000000000000000
χ55222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i0000-222-2000000002i−2i−2i2i00002i2i−2i−2i2-200000000002-2000-22000−2i2i00000000000000000000000
χ56222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i0000-222-2000000002i−2i−2i2i0000−2i−2i2i2i2-20000000000-220002-20002i−2i00000000000000000000000
χ572-222-2-22-22-22-22-22-22-22-222-2-200002-200002-20000002-2000000i2i2−i2−i2i2i2−i2−i20000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
χ582-222-2-22-22-22-22-22-22-22-222-2-200002-200002-20000002-2000000−i2−i2i2i2−i2−i2i2i20000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000
χ592-222-2-22-22-22-22-22-22-22-2-2-2220000-220000-22000000-22000000i2i2−i2−i2−i2−i2i2i20000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2000000
χ602-222-2-22-22-22-22-22-22-22-2-2-2220000-220000-22000000-22000000−i2−i2i2i2i2i2−i2−i20000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2000000
χ612-222-2-22-22-22-2-22-22-22-2222-2-20000-220000-220000002-2000000i2i2−i2−i2i2i2−i2−i20000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000
χ622-222-2-22-22-22-2-22-22-22-2222-2-20000-220000-220000002-2000000−i2−i2i2i2−i2−i2i2i20000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000
χ632-222-2-22-22-22-2-22-22-22-22-2-22200002-200002-2000000-22000000i2i2−i2−i2−i2−i2i2i20000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2000000
χ642-222-2-22-22-22-2-22-22-22-22-2-22200002-200002-2000000-22000000−i2−i2i2i2i2i2−i2−i20000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2000000
χ652-222-2-22-2-22-222-22-2-22-2222-2-20000-2200002-2000000-22000000i2i2−i2−i2i2i2−i2−i20000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2000000
χ662-222-2-22-2-22-222-22-2-22-2222-2-20000-2200002-2000000-22000000−i2−i2i2i2−i2−i2i2i20000000000000000000−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2000000
χ672-222-2-22-2-22-222-22-2-22-22-2-22200002-20000-220000002-2000000i2i2−i2−i2−i2−i2i2i20000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000
χ682-222-2-22-2-22-222-22-2-22-22-2-22200002-20000-220000002-2000000−i2−i2i2i2i2i2−i2−i20000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000
χ692-222-2-22-2-22-22-22-222-22-222-2-200002-20000-22000000-22000000i2i2−i2−i2i2i2−i2−i20000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2000000
χ702-222-2-22-2-22-22-22-222-22-222-2-200002-20000-22000000-22000000−i2−i2i2i2−i2−i2i2i20000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2000000
χ712-222-2-22-2-22-22-22-222-22-2-2-2220000-2200002-20000002-2000000i2i2−i2−i2−i2−i2i2i20000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000
χ722-222-2-22-2-22-22-22-222-22-2-2-2220000-2200002-20000002-2000000−i2−i2i2i2i2i2−i2−i20000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000
χ732-2-2-2-22220000000000002-22-2-22-22002-22-20000002-2002-22-2002-22-22-22-20000000000000002-22-2000000000000000000
χ742-2-2-2-22220000000000002-22-2-22-22002-22-20000002-2002-22-200-22-22-22-22000000000000000-22-22000000000000000000
χ752-2-2-2-22220000000000002-22-2-22-2200-22-220000002-200-22-22002-22-22-22-2000000000000000-22-22000000000000000000
χ762-2-2-2-22220000000000002-22-2-22-2200-22-220000002-200-22-2200-22-22-22-220000000000000002-22-2000000000000000000
χ772-2-2-2-2222000000000000-22-22-22-22002-22-2000000-2200-22-22002-22-2-22-220000000000000002-2-22000000000000000000
χ782-2-2-2-2222000000000000-22-22-22-22002-22-2000000-2200-22-2200-22-222-22-2000000000000000-222-2000000000000000000
χ792-2-2-2-2222000000000000-22-22-22-2200-22-22000000-22002-22-2002-22-2-22-22000000000000000-222-2000000000000000000
χ802-2-2-2-2222000000000000-22-22-22-2200-22-22000000-22002-22-200-22-222-22-20000000000000002-2-22000000000000000000
χ8144-4-44-44-40000000000004-4-44000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000
χ8244-4-44-44-40000000000004-4-4400000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000
χ8344-4-44-44-4000000000000-444-4000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000
χ8444-4-44-44-4000000000000-444-400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000
χ854-44-444-4-44-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ864-44-444-4-44-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ874-44-444-4-4-444-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ884-44-444-4-4-444-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-4-44000000000000000044-4-400000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ904-4-444-4-44000000000000000044-4-40000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ914-4-444-4-440000000000000000-4-444004-4-440000000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-440000000000000000-4-44400-444-40000000000000000000000000000000000000000000000000000000000000
χ934-4-4-4-44440000000000004-44-44-44-4000000000000-4400000000000000000000000000000000000000000000000000000
χ944-4-4-4-4444000000000000-44-444-44-40000000000004-400000000000000000000000000000000000000000000000000000
χ9588-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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