Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #20295576 | C2 | semidirect |
| 2. #20295436 | C2 | semidirect |
| 3. #20295416 | C2 | semidirect |
| 4. #20295392 | C2 | semidirect |
| 5. #20295385 | C2 | semidirect |
| 6. #20295277 | C2 | semidirect |
| 7. #20295274 | C2 | semidirect |
| 8. C4×#13182016 | C2 | semidirect |
| 9. C4×#13182014 | C2 | semidirect |
| 10. C4×#13182013 | C2 | semidirect |
| 11. #529×C109 | C2 | semidirect |
| 110. #11724784 | #41 | semidirect |
| 138. C109 | #3171 | semidirect |
| 140. #529 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295576 | 2 |
| #20295436 | 2 |
| #20295416 | 2 |
| #20295392 | 2 |
| #20295385 | 2 |
| #20295277 | 2 |
| #20295274 | 2 |
| C4×#13182016 | 2 |
| C4×#13182014 | 2 |
| C4×#13182013 | 2 |
| #529×C109 | 2 |
| #3171 | 109 |