Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 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. C2×#16812721 | C2 | semidirect |
| 2. C2×#16812718 | C2 | semidirect |
| 3. #20295694 | C2 | semidirect |
| 4. #20295401 | C2 | semidirect |
| 5. #20295263 | C2 | semidirect |
| 6. #20295225 | C2 | semidirect |
| 7. #20295172 | C2 | semidirect |
| 8. #20295169 | C2 | semidirect |
| 9. #20295120 | C2 | semidirect |
| 10. C8×C22⋊D109 | C2 | semidirect |
| 11. #466×C109 | C2 | semidirect |
| 56. Dic436 | D4 | semidirect |
| 134. Dic109 | #135 | semidirect |
| 143. C109 | #3287 | semidirect |
| 149. #466 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812721 | 2 |
| C2×#16812718 | 2 |
| #20295694 | 2 |
| #20295401 | 2 |
| #20295263 | 2 |
| #20295225 | 2 |
| #20295172 | 2 |
| #20295169 | 2 |
| #20295120 | 2 |
| C8×C22⋊D109 | 2 |
| #466×C109 | 2 |
| #3287 | 109 |