Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
374 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 374 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 |
| 3. #20295429 | C2 | semidirect |
| 4. #20295363 | C2 | semidirect |
| 5. #20295349 | C2 | semidirect |
| 6. #20295312 | C2 | semidirect |
| 7. #20295271 | C2 | semidirect |
| 8. C4×#13182017 | C2 | semidirect |
| 9. #20295103 | C2 | semidirect |
| 10. #20295067 | C2 | semidirect |
| 11. #474×C109 | C2 | semidirect |
| 99. #11724784 | #41 | semidirect |
| 123. C109 | #3353 | semidirect |
| 130. #474 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295750 | 2 |
| #20295681 | 2 |
| #20295429 | 2 |
| #20295363 | 2 |
| #20295349 | 2 |
| #20295312 | 2 |
| #20295271 | 2 |
| C4×#13182017 | 2 |
| #20295103 | 2 |
| #20295067 | 2 |
| #474×C109 | 2 |
| #3353 | 109 |