Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
264 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20267818 | C2 | semidirect |
| 3. #20267787 | C2 | semidirect |
| 4. #20267785 | C2 | semidirect |
| 5. #20267764 | C2 | semidirect |
| 6. #20267547 | C2 | semidirect |
| 7. #410×C103 | C2 | semidirect |
| 119. C103 | #2053 | semidirect |
| 125. #410 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268589 | 2 |
| #20267818 | 2 |
| #20267787 | 2 |
| #20267785 | 2 |
| #20267764 | 2 |
| #20267547 | 2 |
| #410×C103 | 2 |
| #2053 | 103 |