Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20295736 | C2 | semidirect |
| 2. #20295390 | C2 | semidirect |
| 3. #20295372 | C2 | semidirect |
| 4. #20295326 | C2 | semidirect |
| 5. #20295316 | C2 | semidirect |
| 6. #20295218 | C2 | semidirect |
| 7. #20295218 | C2 | semidirect |
| 8. #20295157 | C2 | semidirect |
| 9. #20295136 | C2 | semidirect |
| 10. C4×#13182014 | C2 | semidirect |
| 11. #550×C109 | C2 | semidirect |
| 97. D436 | #41 | semidirect |
| 130. C109 | #3366 | semidirect |
| 132. #550 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295736 | 2 |
| #20295390 | 2 |
| #20295372 | 2 |
| #20295326 | 2 |
| #20295316 | 2 |
| #20295218 | 2 |
| #20295157 | 2 |
| #20295136 | 2 |
| C4×#13182014 | 2 |
| #550×C109 | 2 |
| #3366 | 109 |