Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20295762 | C2 | semidirect |
| 2. #20295733 | C2 | semidirect |
| 3. #20295379 | C2 | semidirect |
| 4. #20295372 | C2 | semidirect |
| 5. #20295324 | C2 | semidirect |
| 6. #20295322 | C2 | semidirect |
| 7. #20295239 | C2 | semidirect |
| 8. #20295150 | C2 | semidirect |
| 9. C4×#13182017 | C2 | semidirect |
| 10. D8×Dic109 | C2 | semidirect |
| 123. C109 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295762 | 2 |
| #20295733 | 2 |
| #20295379 | 2 |
| #20295372 | 2 |
| #20295324 | 2 |
| #20295322 | 2 |
| #20295239 | 2 |
| #20295150 | 2 |
| C4×#13182017 | 2 |
| D8×Dic109 | 2 |
| #459×C109 | 2 |
| #3361 | 109 |