Element structure of Mathieu groups
This article gives specific information, namely, element structure, about a family of groups, namely: Mathieu group.
View element structure of group families | View other specific information about Mathieu group
Particular cases
There are eight isomorphism classes of Mathieu groups, given by their degrees. The degree of a Mathieu group is the smallest size set on which it has a faithful permutation representation, which is precisely the representation of interest:
| Degree | Mathieu group | Order of group | Sporadic simple? | Simple? | Almost simple? | Element structure page |
|---|---|---|---|---|---|---|
| 9 | Mathieu group:M9 | 72 | No | No | No | element structure of Mathieu group:M9 |
| 10 | Mathieu group:M10 | 720 | No | No | Yes | element structure of Mathieu group:M10 |
| 11 | Mathieu group:M11 | 7920 | Yes | Yes | Yes | element structure of Mathieu group:M11 |
| 12 | Mathieu group:M12 | 95040 | Yes | Yes | Yes | element structure of Mathieu group:M12 |
| 21 | projective special linear group:PSL(3,4) | 20160 | No | Yes | Yes | element structure of projective special linear group:PSL(3,4) |
| 22 | Mathieu group:M22 | 443520 | Yes | Yes | Yes | element structure of Mathieu group:M22 |
| 23 | Mathieu group:M23 | 10200960 | Yes | Yes | Yes | element structure of Mathieu group:M23 |
| 24 | Mathieu group:M24 | 244823040 | Yes | Yes | Yes | element structure of Mathieu group:M24 |