Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268147 | C2 | semidirect |
| 4. #20268141 | C2 | semidirect |
| 5. #20268139 | C2 | semidirect |
| 6. #20268138 | C2 | semidirect |
| 7. #20267786 | C2 | semidirect |
| 8. C4×C8×D103 | C2 | semidirect |
| 9. #487×C103 | C2 | semidirect |
| 112. C103 | #3131 | semidirect |
| 117. #487 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| #20268342 | 2 |
| #20268147 | 2 |
| #20268141 | 2 |
| #20268139 | 2 |
| #20268138 | 2 |
| #20267786 | 2 |
| C4×C8×D103 | 2 |
| #487×C103 | 2 |
| #3131 | 103 |