Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
404 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 3. #14272033 | C2 | semidirect |
| 9. #11745345 | C4 | semidirect |
| 14. C2×#90796 | C4 | semidirect |
| 16. C29×#117 | C4 | semidirect |
| 17. #11745288 | C4 | semidirect |
| 19. C4⋊C4×D29 | C4 | semidirect |
| 42. C4×#1181 | C2×C4 | semidirect |
| 45. #90796 | C2×C4 | semidirect |
| 127. #117 | #1181 | semidirect |
| 134. C29 | #1733 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90796 | 2 |
| C2×#11745345 | 2 |
| #14272033 | 2 |
| #117×D29 | 2 |
| #1733 | 29 |