| Subject | English | Japanese |
| phys. | complete permutation | 完全順列 (かんぜん・ぢゅんれつ) |
| phys. | cyclic permutation | 巡回置換 (ぢゅんかい・ちかん) |
| gen. | cyclic permutation | 循環的並べ換え |
| phys. | even permutation | 偶置換 (gūchikan) |
| phys. | intransitive permutation group | 非推移置換群 (ひすいい・ちかんぐん) |
| phys. | inverse permutation | 逆置換 (ぎゃくちかん) |
| phys. | odd permutation | 奇置換 (kichikan) |
| phys. | permutation group | 置換群 (chikangun) |
| phys. | primitive permutation group | 原始置換群 (げんし・ちかんぐん) |
| phys. | repeated permutation | 重複順列 (じゅうふく・ぢゅんれつ) |
| phys. | transitive permutation group | 推移置換群 (すいい・ちかんぐん) |