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. #20295580 | C2 | semidirect |
| 3. #20295318 | C2 | semidirect |
| 4. #20295305 | C2 | semidirect |
| 5. #20295275 | C2 | semidirect |
| 6. #20295273 | C2 | semidirect |
| 7. #20295230 | C2 | semidirect |
| 8. #20295227 | C2 | semidirect |
| 9. #20295226 | C2 | semidirect |
| 10. #20295048 | C2 | semidirect |
| 11. #477×C109 | C2 | semidirect |
| 138. C109 | #3254 | semidirect |
| 142. #477 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295580 | 2 |
| #20295577 | 2 |
| #20295318 | 2 |
| #20295305 | 2 |
| #20295275 | 2 |
| #20295273 | 2 |
| #20295230 | 2 |
| #20295227 | 2 |
| #20295226 | 2 |
| #20295048 | 2 |
| #477×C109 | 2 |
| #3254 | 109 |