Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 2. #20267899 | C2 | semidirect |
| 3. #20267615 | C2 | semidirect |
| 4. #20267606 | C2 | semidirect |
| 6. #20267569 | C2 | semidirect |
| 10. #15692967 | C4 | semidirect |
| 11. #15692965 | C4 | semidirect |
| 65. C103 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268231 | 2 |
| #20267899 | 2 |
| #20267615 | 2 |
| #20267606 | 2 |
| #20267601 | 2 |
| #20267569 | 2 |
| #444×C103 | 2 |
| #2180 | 103 |