Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 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 |
|---|---|---|
| 2. #20295143 | C2 | semidirect |
| 3. #20295142 | C2 | semidirect |
| 4. #20294855 | C2 | semidirect |
| 5. #20294834 | C2 | semidirect |
| 6. C16×Dic109 | C2 | semidirect |
| 7. #359×C109 | C2 | semidirect |
| 11. #16812645 | C4 | semidirect |
| 12. #16812643 | C4 | semidirect |
| 13. #16812642 | C4 | semidirect |
| 14. #16812640 | C4 | semidirect |
| 72. C109 | #2178 | semidirect |
| 78. #359 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295456 | 2 |
| #20295143 | 2 |
| #20295142 | 2 |
| #20294855 | 2 |
| #20294834 | 2 |
| C16×Dic109 | 2 |
| #359×C109 | 2 |
| #2178 | 109 |