Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20295577 | C2 | semidirect |
| 2. #20295561 | C2 | semidirect |
| 3. #20295415 | C2 | semidirect |
| 4. #20295392 | C2 | semidirect |
| 5. #20295388 | C2 | semidirect |
| 6. #20295280 | C2 | semidirect |
| 7. #20295273 | C2 | semidirect |
| 8. #20295113 | C2 | semidirect |
| 9. #20295108 | C2 | semidirect |
| 10. #20294978 | C2 | semidirect |
| 11. #501×C109 | C2 | semidirect |
| 109. C8×C109 | #41 | semidirect |
| 138. C109 | #3171 | semidirect |
| 141. #501 | D109 | semidirect |
| 248. C8 | #13182030 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295577 | 2 |
| #20295561 | 2 |
| #20295415 | 2 |
| #20295392 | 2 |
| #20295388 | 2 |
| #20295280 | 2 |
| #20295273 | 2 |
| #20295113 | 2 |
| #20295108 | 2 |
| #20294978 | 2 |
| #501×C109 | 2 |
| #3171 | 109 |