Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#15693069 | C2 | semidirect |
| 2. C2×#15693041 | C2 | semidirect |
| 3. #20268369 | C2 | semidirect |
| 4. #20267952 | C2 | semidirect |
| 5. #20267945 | C2 | semidirect |
| 6. #20267935 | C2 | semidirect |
| 7. #20267928 | C2 | semidirect |
| 8. #20267793 | C2 | semidirect |
| 9. C2×#15692945 | C2 | semidirect |
| 10. #20267759 | C2 | semidirect |
| 11. C2×#137×C103 | C2 | semidirect |
| 52. #13110105 | D4 | semidirect |
| 86. C2×Q8×C103 | D4 | semidirect |
| 170. C103 | #3013 | semidirect |
| 172. C2×#137 | D103 | semidirect |
| 233. C2×Q8 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693069 | 2 |
| C2×#15693041 | 2 |
| #20268369 | 2 |
| #20267952 | 2 |
| #20267945 | 2 |
| #20267935 | 2 |
| #20267928 | 2 |
| #20267793 | 2 |
| C2×#15692945 | 2 |
| #20267759 | 2 |
| C2×#137×C103 | 2 |
| #3013 | 103 |