Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #20295418 | C2 | semidirect |
| 4. #20295248 | C2 | semidirect |
| 5. #20295233 | C2 | semidirect |
| 6. #20295228 | C2 | semidirect |
| 8. #20295157 | C2 | semidirect |
| 9. #20295124 | C2 | semidirect |
| 10. C4×#13182019 | C2 | semidirect |
| 11. #557×C109 | C2 | semidirect |
| 122. C109 | #3400 | semidirect |
| 124. #557 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295761 | 2 |
| #20295418 | 2 |
| #20295400 | 2 |
| #20295248 | 2 |
| #20295233 | 2 |
| #20295228 | 2 |
| #20295226 | 2 |
| #20295157 | 2 |
| #20295124 | 2 |
| C4×#13182019 | 2 |
| #557×C109 | 2 |
| #3400 | 109 |