Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
426 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20295696 | C2 | semidirect |
| 2. #20295691 | C2 | semidirect |
| 3. #20295371 | C2 | semidirect |
| 4. #20295304 | C2 | semidirect |
| 5. #20295303 | C2 | semidirect |
| 6. #20295220 | C2 | semidirect |
| 7. #20295218 | C2 | semidirect |
| 8. C8×Dic218 | C2 | semidirect |
| 9. C4×D872 | C2 | semidirect |
| 10. #20295106 | C2 | semidirect |
| 11. #486×C109 | C2 | semidirect |
| 97. D436 | #41 | semidirect |
| 102. Dic218 | D8 | semidirect |
| 132. C109 | #3358 | semidirect |
| 136. #486 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295696 | 2 |
| #20295691 | 2 |
| #20295371 | 2 |
| #20295304 | 2 |
| #20295303 | 2 |
| #20295220 | 2 |
| #20295218 | 2 |
| C8×Dic218 | 2 |
| C4×D872 | 2 |
| #20295106 | 2 |
| #486×C109 | 2 |
| #3358 | 109 |