Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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×#16812732 | C2 | semidirect |
| 2. C2×#16812729 | C2 | semidirect |
| 4. C2×#16812664 | C2 | semidirect |
| 5. #20295251 | C2 | semidirect |
| 6. #20295247 | C2 | semidirect |
| 7. #20295235 | C2 | semidirect |
| 8. #20295225 | C2 | semidirect |
| 9. #20295049 | C2 | semidirect |
| 10. #20295025 | C2 | semidirect |
| 11. #417×C109 | C2 | semidirect |
| 49. C2×Dic218 | D4 | semidirect |
| 150. Dic109 | #137 | semidirect |
| 158. C109 | #3037 | semidirect |
| 169. #417 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812732 | 2 |
| C2×#16812729 | 2 |
| #20295572 | 2 |
| C2×#16812664 | 2 |
| #20295251 | 2 |
| #20295247 | 2 |
| #20295235 | 2 |
| #20295225 | 2 |
| #20295049 | 2 |
| #20295025 | 2 |
| #417×C109 | 2 |
| #3037 | 109 |