Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20295741 | C2 | semidirect |
| 2. #20295680 | C2 | semidirect |
| 3. #20295377 | C2 | semidirect |
| 4. #20295369 | C2 | semidirect |
| 5. #20295316 | C2 | semidirect |
| 6. #20295254 | C2 | semidirect |
| 7. #20295231 | C2 | semidirect |
| 8. #20295168 | C2 | semidirect |
| 9. C8×D436 | C2 | semidirect |
| 10. #20295019 | C2 | semidirect |
| 11. C4×D8×C109 | C2 | semidirect |
| 131. C109 | #3303 | semidirect |
| 140. C4×D8 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295741 | 2 |
| #20295680 | 2 |
| #20295377 | 2 |
| #20295369 | 2 |
| #20295316 | 2 |
| #20295254 | 2 |
| #20295231 | 2 |
| #20295168 | 2 |
| C8×D436 | 2 |
| #20295019 | 2 |
| C4×D8×C109 | 2 |
| #3303 | 109 |