Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20295574 | C2 | semidirect |
| 2. #20295561 | C2 | semidirect |
| 3. #20295436 | C2 | semidirect |
| 4. #20295413 | C2 | semidirect |
| 5. #20295386 | C2 | semidirect |
| 6. #20295278 | C2 | semidirect |
| 7. #20295271 | C2 | semidirect |
| 8. #20295117 | C2 | semidirect |
| 9. #20295106 | C2 | semidirect |
| 10. #20294978 | C2 | semidirect |
| 11. #490×C109 | C2 | semidirect |
| 110. #11724784 | #41 | semidirect |
| 138. C109 | #3171 | semidirect |
| 143. #490 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295574 | 2 |
| #20295561 | 2 |
| #20295436 | 2 |
| #20295413 | 2 |
| #20295386 | 2 |
| #20295278 | 2 |
| #20295271 | 2 |
| #20295117 | 2 |
| #20295106 | 2 |
| #20294978 | 2 |
| #490×C109 | 2 |
| #3171 | 109 |