Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
410 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #20268342 | C2 | semidirect |
| 2. #20268326 | C2 | semidirect |
| 3. #20268180 | C2 | semidirect |
| 4. #20268157 | C2 | semidirect |
| 5. #20268153 | C2 | semidirect |
| 6. #20268028 | C2 | semidirect |
| 7. #20268021 | C2 | semidirect |
| 8. #20267902 | C2 | semidirect |
| 9. #20267890 | C2 | semidirect |
| 10. #97×D103 | C2 | semidirect |
| 11. #501×C103 | C2 | semidirect |
| 109. C8×C103 | #41 | semidirect |
| 138. C103 | #3180 | semidirect |
| 141. #501 | D103 | semidirect |
| 248. C8 | #13110106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268342 | 2 |
| #20268326 | 2 |
| #20268180 | 2 |
| #20268157 | 2 |
| #20268153 | 2 |
| #20268028 | 2 |
| #20268021 | 2 |
| #20267902 | 2 |
| #20267890 | 2 |
| #97×D103 | 2 |
| #501×C103 | 2 |
| #3180 | 103 |