Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
366 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20268185 | C2 | semidirect |
| 4. #20268161 | C2 | semidirect |
| 5. #20268153 | C2 | semidirect |
| 6. #20268033 | C2 | semidirect |
| 8. #20267897 | C2 | semidirect |
| 9. #20267890 | C2 | semidirect |
| 10. #97×D103 | C2 | semidirect |
| 11. #501×C103 | C2 | semidirect |
| 130. C103 | #3181 | semidirect |
| 133. #501 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| #20268326 | 2 |
| #20268185 | 2 |
| #20268161 | 2 |
| #20268153 | 2 |
| #20268033 | 2 |
| #20268021 | 2 |
| #20267897 | 2 |
| #20267890 | 2 |
| #97×D103 | 2 |
| #501×C103 | 2 |
| #3181 | 103 |