Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
284 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 68 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. C2×#16812753 | C2 | semidirect |
| 4. #20295977 | C2 | semidirect |
| 5. #20295900 | C2 | semidirect |
| 6. #20295899 | C2 | semidirect |
| 21. #16812621 | C4 | semidirect |
| 22. #16812620 | C4 | semidirect |
| 23. #16812619 | C4 | semidirect |
| 24. #102×C109 | C4 | semidirect |
| 135. C109 | #1936 | semidirect |
| 157. #102 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812761 | 2 |
| C2×#16812753 | 2 |
| #20295978 | 2 |
| #20295977 | 2 |
| #20295900 | 2 |
| #20295899 | 2 |
| #102×D109 | 2 |
| #1936 | 109 |