Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 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. #20295581 | C2 | semidirect |
| 3. #20295319 | C2 | semidirect |
| 4. #20295307 | C2 | semidirect |
| 5. #20295306 | C2 | semidirect |
| 6. #20295275 | C2 | semidirect |
| 7. #20295269 | C2 | semidirect |
| 8. #20295228 | C2 | semidirect |
| 9. #20295224 | C2 | semidirect |
| 10. #20295048 | C2 | semidirect |
| 11. #461×C109 | C2 | semidirect |
| 143. C109 | #3254 | semidirect |
| 152. #461 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| #20295573 | 2 |
| #20295319 | 2 |
| #20295307 | 2 |
| #20295306 | 2 |
| #20295275 | 2 |
| #20295269 | 2 |
| #20295228 | 2 |
| #20295224 | 2 |
| #20295048 | 2 |
| #461×C109 | 2 |
| #3254 | 109 |