Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
264 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. #20295076 | C2 | semidirect |
| 3. #20294890 | C2 | semidirect |
| 4. #20294761 | C2 | semidirect |
| 5. #20294760 | C2 | semidirect |
| 6. #20294759 | C2 | semidirect |
| 7. #327×C109 | C2 | semidirect |
| 9. #16812698 | C4 | semidirect |
| 10. #16812695 | C4 | semidirect |
| 14. D4×Dic109 | C4 | semidirect |
| 15. #16812661 | C4 | semidirect |
| 120. C109 | #1517 | semidirect |
| 127. #327 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295571 | 2 |
| #20295076 | 2 |
| #20294890 | 2 |
| #20294761 | 2 |
| #20294760 | 2 |
| #20294759 | 2 |
| #327×C109 | 2 |
| #1517 | 109 |