Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
250 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20295372 | C2 | semidirect |
| 3. #20295307 | C2 | semidirect |
| 4. #20295237 | C2 | semidirect |
| 5. #20294756 | C2 | semidirect |
| 6. #20294753 | C2 | semidirect |
| 7. #331×C109 | C2 | semidirect |
| 100. C109 | #1641 | semidirect |
| 105. #331 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295696 | 2 |
| #20295372 | 2 |
| #20295307 | 2 |
| #20295237 | 2 |
| #20294756 | 2 |
| #20294753 | 2 |
| #331×C109 | 2 |
| #1641 | 109 |