Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. C2×#15692986 | C2 | semidirect |
| 3. #20268126 | C2 | semidirect |
| 4. #20268101 | C2 | semidirect |
| 5. #20268012 | C2 | semidirect |
| 6. #20267949 | C2 | semidirect |
| 8. #20267897 | C2 | semidirect |
| 9. #20267888 | C2 | semidirect |
| 10. #20267845 | C2 | semidirect |
| 132. C103 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268322 | 2 |
| C2×#15692986 | 2 |
| #20268126 | 2 |
| #20268101 | 2 |
| #20268012 | 2 |
| #20267949 | 2 |
| #20267929 | 2 |
| #20267897 | 2 |
| #20267888 | 2 |
| #20267845 | 2 |
| #481×C103 | 2 |
| #3117 | 103 |