Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 1. #20268456 | C2 | semidirect |
| 3. #20268120 | C2 | semidirect |
| 4. #20268073 | C2 | semidirect |
| 5. #20268023 | C2 | semidirect |
| 6. #20267993 | C2 | semidirect |
| 7. #20267931 | C2 | semidirect |
| 8. C4×#13110094 | C2 | semidirect |
| 9. C8×D412 | C2 | semidirect |
| 10. #103×D103 | C2 | semidirect |
| 11. #487×C103 | C2 | semidirect |
| 94. D412 | SD16 | semidirect |
| 102. Dic206 | #41 | semidirect |
| 129. C103 | #3298 | semidirect |
| 132. #487 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268456 | 2 |
| #20268444 | 2 |
| #20268120 | 2 |
| #20268073 | 2 |
| #20268023 | 2 |
| #20267993 | 2 |
| #20267931 | 2 |
| C4×#13110094 | 2 |
| C8×D412 | 2 |
| #103×D103 | 2 |
| #487×C103 | 2 |
| #3298 | 103 |