Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
580 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. #13112857 | C2 | semidirect |
| 5. C23×Q8×C13 | C4 | semidirect |
| 8. C13×#395 | C4 | semidirect |
| 13. C13×#380 | C4 | semidirect |
| 144. C23×Q8 | Dic13 | semidirect |
| 149. #395 | Dic13 | semidirect |
| 155. #380 | Dic13 | semidirect |
| 267. C13 | #11898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114824 | 2 |
| #13113157 | 2 |
| #13112857 | 2 |
| C13×#2409 | 2 |
| #11898 | 13 |