Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268406 | C2 | semidirect |
| 2. #20268188 | C2 | semidirect |
| 3. #20268174 | C2 | semidirect |
| 4. #20268149 | C2 | semidirect |
| 5. #20268050 | C2 | semidirect |
| 7. #20268019 | C2 | semidirect |
| 8. #20267899 | C2 | semidirect |
| 9. C4×#13110093 | C2 | semidirect |
| 10. #20267748 | C2 | semidirect |
| 11. #442×C103 | C2 | semidirect |
| 110. C103 | #3173 | semidirect |
| 118. #442 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268406 | 2 |
| #20268188 | 2 |
| #20268174 | 2 |
| #20268149 | 2 |
| #20268050 | 2 |
| #20268041 | 2 |
| #20268019 | 2 |
| #20267899 | 2 |
| C4×#13110093 | 2 |
| #20267748 | 2 |
| #442×C103 | 2 |
| #3173 | 103 |