Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
278 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 71 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. #20267834 | C2 | semidirect |
| 4. C2×#15692940 | C2 | semidirect |
| 5. #20267698 | C2 | semidirect |
| 6. #20267550 | C2 | semidirect |
| 121. C103 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267834 | 2 |
| C2×#15692948 | 2 |
| #20267792 | 2 |
| C2×#15692940 | 2 |
| #20267698 | 2 |
| #20267550 | 2 |
| #536×C103 | 2 |
| #2038 | 103 |