Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 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. #20268339 | C2 | semidirect |
| 2. #20268320 | C2 | semidirect |
| 3. #20268200 | C2 | semidirect |
| 4. #20268155 | C2 | semidirect |
| 5. #20268150 | C2 | semidirect |
| 6. #20268041 | C2 | semidirect |
| 7. #20268034 | C2 | semidirect |
| 8. SD16×Dic103 | C2 | semidirect |
| 9. D8×Dic103 | C2 | semidirect |
| 10. #20267743 | C2 | semidirect |
| 11. #496×C103 | C2 | semidirect |
| 109. C8×C103 | #41 | semidirect |
| 138. C103 | #3171 | semidirect |
| 142. #496 | D103 | semidirect |
| 248. C8 | #13110104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268339 | 2 |
| #20268320 | 2 |
| #20268200 | 2 |
| #20268155 | 2 |
| #20268150 | 2 |
| #20268041 | 2 |
| #20268034 | 2 |
| SD16×Dic103 | 2 |
| D8×Dic103 | 2 |
| #20267743 | 2 |
| #496×C103 | 2 |
| #3171 | 103 |