Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268346 | C2 | semidirect |
| 3. #20268158 | C2 | semidirect |
| 4. #20268154 | C2 | semidirect |
| 5. #20268153 | C2 | semidirect |
| 6. #20268151 | C2 | semidirect |
| 7. #20268150 | C2 | semidirect |
| 8. #20267786 | C2 | semidirect |
| 9. #20267784 | C2 | semidirect |
| 10. #97×D103 | C2 | semidirect |
| 11. #489×C103 | C2 | semidirect |
| 138. C103 | #3135 | semidirect |
| 146. #489 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| #20268340 | 2 |
| #20268158 | 2 |
| #20268154 | 2 |
| #20268153 | 2 |
| #20268151 | 2 |
| #20268150 | 2 |
| #20267786 | 2 |
| #20267784 | 2 |
| #97×D103 | 2 |
| #489×C103 | 2 |
| #3135 | 103 |