• 招待しょうたい — invitation
• 招集しょうしゅう — summon (e.g., to gather people)
• 招請しょうせい — formal invitation
• 招致しょうち — invitation (often for events or sports)
• 招まねくく — to invite, to beckon
• 招来しょうらい — to bring about (a result or situation)
• 招魂しょうこん — calling of spirits

招 is a 会意形声 (compound ideophonetic character). The left radical 扌 (てへん) means “hand” and suggests physical action. The right part 召 (しょう) implies calling or summoning. Together, they express the action of calling someone over — thus, “invite” or “beckon.”

友だちを家いえに 招まねきました。
I invited my friend to my house.

その行動こうどうは 問題もんだいを 招まねくかもしれません。
That action might invite (or cause) problems.

The on-yomi ショウ appears in most compound forms like 招待 and 招集. The kun-yomi まねく is often used in casual or personal contexts when physically or metaphorically inviting someone or something.