Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
378 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268132 | C2 | semidirect |
| 3. #20268129 | C2 | semidirect |
| 4. #20268047 | C2 | semidirect |
| 5. #20268030 | C2 | semidirect |
| 6. #20267947 | C2 | semidirect |
| 7. #20267946 | C2 | semidirect |
| 131. C103 | #3202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268362 | 2 |
| #20268132 | 2 |
| #20268129 | 2 |
| #20268047 | 2 |
| #20268030 | 2 |
| #20267947 | 2 |
| #20267946 | 2 |
| #20267758 | 2 |
| #536×C103 | 2 |
| #3202 | 103 |