Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 1. #20295762 | C2 | semidirect |
| 2. #20295697 | C2 | semidirect |
| 3. #20295414 | C2 | semidirect |
| 4. #20295402 | C2 | semidirect |
| 5. #20295240 | C2 | semidirect |
| 6. #20295227 | C2 | semidirect |
| 7. #20295219 | C2 | semidirect |
| 8. #20295153 | C2 | semidirect |
| 9. #20295135 | C2 | semidirect |
| 10. C4×#13182017 | C2 | semidirect |
| 11. #459×C109 | C2 | semidirect |
| 108. #11724784 | #41 | semidirect |
| 135. C109 | #3399 | semidirect |
| 143. #459 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295762 | 2 |
| #20295697 | 2 |
| #20295414 | 2 |
| #20295402 | 2 |
| #20295240 | 2 |
| #20295227 | 2 |
| #20295219 | 2 |
| #20295153 | 2 |
| #20295135 | 2 |
| C4×#13182017 | 2 |
| #459×C109 | 2 |
| #3399 | 109 |