Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20268501 | C2 | semidirect |
| 2. #20268145 | C2 | semidirect |
| 3. #20268141 | C2 | semidirect |
| 4. #20268098 | C2 | semidirect |
| 5. #20268081 | C2 | semidirect |
| 7. #20267993 | C2 | semidirect |
| 8. Q8×C103⋊C8 | C2 | semidirect |
| 9. C4×#13110092 | C2 | semidirect |
| 11. #556×C103 | C2 | semidirect |
| 121. C103 | #3360 | semidirect |
| 122. #556 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268501 | 2 |
| #20268145 | 2 |
| #20268141 | 2 |
| #20268098 | 2 |
| #20268081 | 2 |
| #20268003 | 2 |
| #20267993 | 2 |
| Q8×C103⋊C8 | 2 |
| C4×#13110092 | 2 |
| C4×#13110090 | 2 |
| #556×C103 | 2 |
| #3360 | 103 |