Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #20295751 | C2 | semidirect |
| 3. #20295419 | C2 | semidirect |
| 5. #20295250 | C2 | semidirect |
| 6. #20295230 | C2 | semidirect |
| 8. #20295153 | C2 | semidirect |
| 9. #20295129 | C2 | semidirect |
| 10. C4×#13182019 | C2 | semidirect |
| 11. #462×C109 | C2 | semidirect |
| 122. C109 | #3400 | semidirect |
| 128. #462 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295761 | 2 |
| #20295751 | 2 |
| #20295419 | 2 |
| #20295400 | 2 |
| #20295250 | 2 |
| #20295230 | 2 |
| #20295227 | 2 |
| #20295153 | 2 |
| #20295129 | 2 |
| C4×#13182019 | 2 |
| #462×C109 | 2 |
| #3400 | 109 |