Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
504 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 125 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×#15693042 | C2 | semidirect |
| 2. #20268463 | C2 | semidirect |
| 3. #20268461 | C2 | semidirect |
| 4. #20268167 | C2 | semidirect |
| 5. #20268026 | C2 | semidirect |
| 6. #20267992 | C2 | semidirect |
| 7. #20267937 | C2 | semidirect |
| 8. #20267935 | C2 | semidirect |
| 9. C4×#13110095 | C2 | semidirect |
| 10. #20267856 | C2 | semidirect |
| 11. #460×C103 | C2 | semidirect |
| 58. #13110095 | D4 | semidirect |
| 130. C4×C103 | #135 | semidirect |
| 143. C103 | #3287 | semidirect |
| 150. #460 | D103 | semidirect |
| 276. C4 | #15693042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693042 | 2 |
| #20268463 | 2 |
| #20268461 | 2 |
| #20268167 | 2 |
| #20268026 | 2 |
| #20267992 | 2 |
| #20267937 | 2 |
| #20267935 | 2 |
| C4×#13110095 | 2 |
| #20267856 | 2 |
| #460×C103 | 2 |
| #3287 | 103 |