Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20268557 | C2 | semidirect |
| 3. #20267808 | C2 | semidirect |
| 4. #20267764 | C2 | semidirect |
| 5. #20267552 | C2 | semidirect |
| 6. #20267550 | C2 | semidirect |
| 7. #421×C103 | C2 | semidirect |
| 13. #15693019 | C4 | semidirect |
| 14. #15693017 | C4 | semidirect |
| 15. #15693010 | C4 | semidirect |
| 16. #15693008 | C4 | semidirect |
| 38. #13110089 | D4 | semidirect |
| 61. M16×C103 | D4 | semidirect |
| 126. C103 | #1884 | semidirect |
| 130. #421 | D103 | semidirect |
| 176. M16 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268557 | 2 |
| #20268337 | 2 |
| #20267808 | 2 |
| #20267764 | 2 |
| #20267552 | 2 |
| #20267550 | 2 |
| #421×C103 | 2 |
| #1884 | 103 |