Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20268422 | C2 | semidirect |
| 3. #20268101 | C2 | semidirect |
| 4. #20268090 | C2 | semidirect |
| 5. #20268080 | C2 | semidirect |
| 6. #20268075 | C2 | semidirect |
| 7. #20267831 | C2 | semidirect |
| 8. #20267817 | C2 | semidirect |
| 11. C2×#106×C103 | C2 | semidirect |
| 42. #13110105 | Q8 | semidirect |
| 124. C103 | #3084 | semidirect |
| 132. C2×#106 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268422 | 2 |
| #20268272 | 2 |
| #20268101 | 2 |
| #20268090 | 2 |
| #20268080 | 2 |
| #20268075 | 2 |
| #20267831 | 2 |
| #20267817 | 2 |
| #20267790 | 2 |
| #20267788 | 2 |
| C2×#106×C103 | 2 |
| #3084 | 103 |