Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#16812690 | C2 | semidirect |
| 3. #20295335 | C2 | semidirect |
| 4. #20295331 | C2 | semidirect |
| 5. #20295328 | C2 | semidirect |
| 6. #20295324 | C2 | semidirect |
| 7. #20295068 | C2 | semidirect |
| 8. #20295066 | C2 | semidirect |
| 9. #20295049 | C2 | semidirect |
| 136. C109 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812690 | 2 |
| #41×Dic109 | 2 |
| #20295335 | 2 |
| #20295331 | 2 |
| #20295328 | 2 |
| #20295324 | 2 |
| #20295068 | 2 |
| #20295066 | 2 |
| #20295049 | 2 |
| #20295027 | 2 |
| #417×C109 | 2 |
| #3080 | 109 |