Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
286 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#11745182 | C2 | semidirect |
| 3. #14270957 | C2 | semidirect |
| 4. #14270955 | C2 | semidirect |
| 5. C2×C29×#99 | C2 | semidirect |
| 7. C2×#90805 | C4 | semidirect |
| 12. #11745302 | C4 | semidirect |
| 16. #11745298 | C4 | semidirect |
| 18. #11745288 | C4 | semidirect |
| 41. C2×D116 | C2×C4 | semidirect |
| 43. C2×Dic58 | C2×C4 | semidirect |
| 54. C4×Dic29 | C2×C4 | semidirect |
| 55. C4×Dic29 | C2×C4 | semidirect |
| 121. C2×#99 | D29 | semidirect |
| 150. C29 | #2127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271730 | 2 |
| C2×#11745182 | 2 |
| #14270957 | 2 |
| #14270955 | 2 |
| C2×C29×#99 | 2 |
| #2127 | 29 |