Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 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. #20295691 | C2 | semidirect |
| 3. #20295376 | C2 | semidirect |
| 4. #20295355 | C2 | semidirect |
| 5. #20295312 | C2 | semidirect |
| 6. #20295252 | C2 | semidirect |
| 7. #20295163 | C2 | semidirect |
| 8. C4×#13182017 | C2 | semidirect |
| 9. #20295091 | C2 | semidirect |
| 10. #103×D109 | C2 | semidirect |
| 11. #461×C109 | C2 | semidirect |
| 94. D436 | SD16 | semidirect |
| 102. Dic218 | #41 | semidirect |
| 129. C109 | #3298 | semidirect |
| 136. #461 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295691 | 2 |
| #20295681 | 2 |
| #20295376 | 2 |
| #20295355 | 2 |
| #20295312 | 2 |
| #20295252 | 2 |
| #20295163 | 2 |
| C4×#13182017 | 2 |
| #20295091 | 2 |
| #103×D109 | 2 |
| #461×C109 | 2 |
| #3298 | 109 |