Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268514 | C2 | semidirect |
| 3. #20268141 | C2 | semidirect |
| 4. #20268131 | C2 | semidirect |
| 5. #20268072 | C2 | semidirect |
| 6. #20268029 | C2 | semidirect |
| 7. #20267952 | C2 | semidirect |
| 8. C4×#13110092 | C2 | semidirect |
| 9. #20267856 | C2 | semidirect |
| 10. #20267786 | C2 | semidirect |
| 11. #462×C103 | C2 | semidirect |
| 126. C103 | #3302 | semidirect |
| 133. #462 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268514 | 2 |
| #20268444 | 2 |
| #20268141 | 2 |
| #20268131 | 2 |
| #20268072 | 2 |
| #20268029 | 2 |
| #20267952 | 2 |
| C4×#13110092 | 2 |
| #20267856 | 2 |
| #20267786 | 2 |
| #462×C103 | 2 |
| #3302 | 103 |