Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20295555 | C2 | semidirect |
| 3. #20295435 | C2 | semidirect |
| 4. #20295390 | C2 | semidirect |
| 5. #20295385 | C2 | semidirect |
| 6. #20295276 | C2 | semidirect |
| 7. #20295269 | C2 | semidirect |
| 8. SD16×Dic109 | C2 | semidirect |
| 9. D8×Dic109 | C2 | semidirect |
| 10. #20294978 | C2 | semidirect |
| 11. #496×C109 | C2 | semidirect |
| 109. C8×C109 | #41 | semidirect |
| 138. C109 | #3171 | semidirect |
| 142. #496 | D109 | semidirect |
| 248. C8 | #13182028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295574 | 2 |
| #20295555 | 2 |
| #20295435 | 2 |
| #20295390 | 2 |
| #20295385 | 2 |
| #20295276 | 2 |
| #20295269 | 2 |
| SD16×Dic109 | 2 |
| D8×Dic109 | 2 |
| #20294978 | 2 |
| #496×C109 | 2 |
| #3171 | 109 |