Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #20295134 | C2 | semidirect |
| 4. #20294849 | C2 | semidirect |
| 5. #20294843 | C2 | semidirect |
| 7. #347×C109 | C2 | semidirect |
| 12. Dic872 | C4 | semidirect |
| 13. #16812644 | C4 | semidirect |
| 65. C109 | #2180 | semidirect |
| 72. #347 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295469 | 2 |
| #20295149 | 2 |
| #20295134 | 2 |
| #20294849 | 2 |
| #20294843 | 2 |
| #20294837 | 2 |
| #347×C109 | 2 |
| #2180 | 109 |