Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268498 | C2 | semidirect |
| 2. #20268462 | C2 | semidirect |
| 3. #20268154 | C2 | semidirect |
| 4. #20268138 | C2 | semidirect |
| 5. #20268094 | C2 | semidirect |
| 6. #20268081 | C2 | semidirect |
| 7. #20267986 | C2 | semidirect |
| 8. #20267984 | C2 | semidirect |
| 9. #20267921 | C2 | semidirect |
| 10. #20267900 | C2 | semidirect |
| 11. C4×D8×C103 | C2 | semidirect |
| 80. D4×C103 | #41 | semidirect |
| 130. C103 | #3366 | semidirect |
| 141. C4×D8 | D103 | semidirect |
| 218. D4 | #13110105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268498 | 2 |
| #20268462 | 2 |
| #20268154 | 2 |
| #20268138 | 2 |
| #20268094 | 2 |
| #20268081 | 2 |
| #20267986 | 2 |
| #20267984 | 2 |
| #20267921 | 2 |
| #20267900 | 2 |
| C4×D8×C103 | 2 |
| #3366 | 103 |