Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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. C4⋊Q8×D103 | C2 | semidirect |
| 3. #20268162 | C2 | semidirect |
| 4. #20268140 | C2 | semidirect |
| 5. #20267997 | C2 | semidirect |
| 6. #20267996 | C2 | semidirect |
| 7. #20267993 | C2 | semidirect |
| 8. #20267931 | C2 | semidirect |
| 9. #20267928 | C2 | semidirect |
| 10. #20267843 | C2 | semidirect |
| 11. #461×C103 | C2 | semidirect |
| 114. C4×D103 | SD16 | semidirect |
| 149. C103 | #3206 | semidirect |
| 157. #461 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268338 | 2 |
| C4⋊Q8×D103 | 2 |
| #20268162 | 2 |
| #20268140 | 2 |
| #20267997 | 2 |
| #20267996 | 2 |
| #20267993 | 2 |
| #20267931 | 2 |
| #20267928 | 2 |
| #20267843 | 2 |
| #461×C103 | 2 |
| #3206 | 103 |