Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
284 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 97 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×#16812609 | C2 | semidirect |
| 4. #20294925 | C2 | semidirect |
| 5. #20294789 | C2 | semidirect |
| 6. #20294788 | C2 | semidirect |
| 21. #102×C109 | C4 | semidirect |
| 119. C109 | #1936 | semidirect |
| 138. #102 | Dic109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812620 | 2 |
| C2×#16812609 | 2 |
| #20294929 | 2 |
| #20294925 | 2 |
| #20294789 | 2 |
| #20294788 | 2 |
| C2×#102×C109 | 2 |
| #1936 | 109 |