Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 350 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. #20295750 | C2 | semidirect |
| 2. #20295737 | C2 | semidirect |
| 3. #20295382 | C2 | semidirect |
| 4. #20295335 | C2 | semidirect |
| 5. #20295313 | C2 | semidirect |
| 7. #20295228 | C2 | semidirect |
| 8. C8×Dic218 | C2 | semidirect |
| 9. #20295111 | C2 | semidirect |
| 11. #487×C109 | C2 | semidirect |
| 121. C109 | #3360 | semidirect |
| 125. #487 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295750 | 2 |
| #20295737 | 2 |
| #20295382 | 2 |
| #20295335 | 2 |
| #20295313 | 2 |
| #20295244 | 2 |
| #20295228 | 2 |
| C8×Dic218 | 2 |
| #20295111 | 2 |
| C4×D872 | 2 |
| #487×C109 | 2 |
| #3360 | 109 |