Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
430 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 430 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. #20295577 | C2 | semidirect |
| 2. #20295573 | C2 | semidirect |
| 3. #20295315 | C2 | semidirect |
| 4. #20295313 | C2 | semidirect |
| 5. #20295280 | C2 | semidirect |
| 6. #20295278 | C2 | semidirect |
| 7. #20295222 | C2 | semidirect |
| 8. #20295221 | C2 | semidirect |
| 9. #20295220 | C2 | semidirect |
| 10. #20295048 | C2 | semidirect |
| 11. #476×C109 | C2 | semidirect |
| 151. C109 | #3253 | semidirect |
| 156. #476 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295577 | 2 |
| #20295573 | 2 |
| #20295315 | 2 |
| #20295313 | 2 |
| #20295280 | 2 |
| #20295278 | 2 |
| #20295222 | 2 |
| #20295221 | 2 |
| #20295220 | 2 |
| #20295048 | 2 |
| #476×C109 | 2 |
| #3253 | 109 |