Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20268370 | C2 | semidirect |
| 2. #20268123 | C2 | semidirect |
| 3. #20268108 | C2 | semidirect |
| 4. #20268049 | C2 | semidirect |
| 5. #20268018 | C2 | semidirect |
| 6. #20267954 | C2 | semidirect |
| 7. #20267933 | C2 | semidirect |
| 8. #20267759 | C2 | semidirect |
| 9. #469×C103 | C2 | semidirect |
| 118. C103 | #3204 | semidirect |
| 123. #469 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268370 | 2 |
| #20268123 | 2 |
| #20268108 | 2 |
| #20268049 | 2 |
| #20268018 | 2 |
| #20267954 | 2 |
| #20267933 | 2 |
| #20267759 | 2 |
| #469×C103 | 2 |
| #3204 | 103 |