Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20268188 | C2 | semidirect |
| 3. #20268169 | C2 | semidirect |
| 4. #20268140 | C2 | semidirect |
| 8. #20267899 | C2 | semidirect |
| 9. #20267896 | C2 | semidirect |
| 11. #441×C103 | C2 | semidirect |
| 106. C103 | #3185 | semidirect |
| 116. #441 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268345 | 2 |
| #20268188 | 2 |
| #20268169 | 2 |
| #20268140 | 2 |
| #20268050 | 2 |
| #20268048 | 2 |
| #20268046 | 2 |
| #20267899 | 2 |
| #20267896 | 2 |
| #20267743 | 2 |
| #441×C103 | 2 |
| #3185 | 103 |