Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 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. #20268507 | C2 | semidirect |
| 2. #20268445 | C2 | semidirect |
| 3. #20268143 | C2 | semidirect |
| 4. #20268135 | C2 | semidirect |
| 5. #20268021 | C2 | semidirect |
| 6. #20267997 | C2 | semidirect |
| 7. #20267937 | C2 | semidirect |
| 8. C4×#13110090 | C2 | semidirect |
| 9. #20267856 | C2 | semidirect |
| 10. #20267784 | C2 | semidirect |
| 11. #476×C103 | C2 | semidirect |
| 131. C103 | #3303 | semidirect |
| 136. #476 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268507 | 2 |
| #20268445 | 2 |
| #20268143 | 2 |
| #20268135 | 2 |
| #20268021 | 2 |
| #20267997 | 2 |
| #20267937 | 2 |
| C4×#13110090 | 2 |
| #20267856 | 2 |
| #20267784 | 2 |
| #476×C103 | 2 |
| #3303 | 103 |