Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. #14271186 | C2 | semidirect |
| 5. C4×#90779 | C2 | semidirect |
| 6. #14270922 | C2 | semidirect |
| 7. C29×#339 | C2 | semidirect |
| 16. #11745255 | C4 | semidirect |
| 17. #11745255 | C4 | semidirect |
| 18. #11745249 | C4 | semidirect |
| 19. #11745249 | C4 | semidirect |
| 95. D116 | C4⋊C4 | semidirect |
| 101. Dic58 | C4⋊C4 | semidirect |
| 125. Dic29 | #104 | semidirect |
| 132. #339 | D29 | semidirect |
| 160. C29 | #1806 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271631 | 2 |
| #14271186 | 2 |
| C2×#11745153 | 2 |
| C2×#11745173 | 2 |
| C4×#90779 | 2 |
| #14270922 | 2 |
| C29×#339 | 2 |
| #1806 | 29 |