Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13123494 | C2 | semidirect |
| 5. #13112742 | C2 | semidirect |
| 6. #13112724 | C2 | semidirect |
| 7. C13×#1825 | C2 | semidirect |
| 17. #11718662 | C4 | semidirect |
| 18. #11718662 | C4 | semidirect |
| 22. #11718656 | C4 | semidirect |
| 23. #11718656 | C4 | semidirect |
| 141. #1825 | D13 | semidirect |
| 360. C13 | #9348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124776 | 2 |
| #13123494 | 2 |
| #13113403 | 2 |
| #13113195 | 2 |
| #13112742 | 2 |
| #13112724 | 2 |
| C13×#1825 | 2 |
| #9348 | 13 |