Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
270 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 89 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×#15692956 | C2 | semidirect |
| 3. #20267819 | C2 | semidirect |
| 5. #20267551 | C2 | semidirect |
| 6. #20267546 | C2 | semidirect |
| 19. #15692945 | C4 | semidirect |
| 20. #15692945 | C4 | semidirect |
| 21. #15692942 | C4 | semidirect |
| 22. #15692942 | C4 | semidirect |
| 110. C103 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693028 | 2 |
| C2×#15692956 | 2 |
| #20267819 | 2 |
| #20267787 | 2 |
| #20267551 | 2 |
| #20267546 | 2 |
| C2×#104×C103 | 2 |
| #1866 | 103 |