Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20268396 | C2 | semidirect |
| 2. #20268190 | C2 | semidirect |
| 3. #20268167 | C2 | semidirect |
| 4. #20268157 | C2 | semidirect |
| 5. #20268155 | C2 | semidirect |
| 6. #20268042 | C2 | semidirect |
| 7. #20268025 | C2 | semidirect |
| 8. #20267901 | C2 | semidirect |
| 9. C4×#13110090 | C2 | semidirect |
| 10. #20267747 | C2 | semidirect |
| 11. #540×C103 | C2 | semidirect |
| 115. C103 | #3176 | semidirect |
| 117. #540 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268396 | 2 |
| #20268190 | 2 |
| #20268167 | 2 |
| #20268157 | 2 |
| #20268155 | 2 |
| #20268042 | 2 |
| #20268025 | 2 |
| #20267901 | 2 |
| C4×#13110090 | 2 |
| #20267747 | 2 |
| #540×C103 | 2 |
| #3176 | 103 |