Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
548 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#15693047 | C2 | semidirect |
| 2. #20268341 | C2 | semidirect |
| 3. #20268006 | C2 | semidirect |
| 4. #20267996 | C2 | semidirect |
| 5. #20267986 | C2 | semidirect |
| 6. #20267815 | C2 | semidirect |
| 7. #20267790 | C2 | semidirect |
| 8. C2×C4×D4×C103 | C2 | semidirect |
| 14. #15693021 | C22 | semidirect |
| 15. #15693018 | C22 | semidirect |
| 16. #15693009 | C22 | semidirect |
| 21. C4⋊(C103⋊C8) | C22 | semidirect |
| 22. C4⋊(C103⋊C8) | C22 | semidirect |
| 23. #15692944 | C22 | semidirect |
| 24. #15692941 | C22 | semidirect |
| 53. C2×D4×C103 | D4 | semidirect |
| 119. C4×C103 | AGL(1,ℤ/8) | semidirect |
| 130. C103 | #3036 | semidirect |
| 133. C2×C4×D4 | D103 | semidirect |
| 174. C2×D4 | D412 | semidirect |
| 250. C4 | #15693047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693047 | 2 |
| #20268341 | 2 |
| #20268006 | 2 |
| #20267996 | 2 |
| #20267986 | 2 |
| #20267815 | 2 |
| #20267790 | 2 |
| C2×C4×D4×C103 | 2 |
| #3036 | 103 |