Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
186 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 81 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 15. C29×#107 | C4 | semidirect |
| 16. C29×#107 | C4 | semidirect |
| 17. C29×#106 | C4 | semidirect |
| 18. C29×#106 | C4 | semidirect |
| 103. #107 | Dic29 | semidirect |
| 104. #107 | Dic29 | semidirect |
| 105. #106 | Dic29 | semidirect |
| 106. #106 | Dic29 | semidirect |
| 111. C29 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271190 | 2 |
| #14271119 | 2 |
| #14270928 | 2 |
| #14270922 | 2 |
| #14270917 | 2 |
| C29×#427 | 2 |
| #1922 | 29 |