Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20295761 | C2 | semidirect |
| 2. #20295415 | C2 | semidirect |
| 3. #20295410 | C2 | semidirect |
| 4. #20295249 | C2 | semidirect |
| 5. #20295242 | C2 | semidirect |
| 6. #20295222 | C2 | semidirect |
| 7. #20295128 | C2 | semidirect |
| 8. C4×D872 | C2 | semidirect |
| 9. #446×C109 | C2 | semidirect |
| 109. C109 | #3403 | semidirect |
| 116. #446 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295761 | 2 |
| #20295415 | 2 |
| #20295410 | 2 |
| #20295249 | 2 |
| #20295242 | 2 |
| #20295222 | 2 |
| #20295128 | 2 |
| C4×D872 | 2 |
| #446×C109 | 2 |
| #3403 | 109 |