Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
384 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11718105 | C2 | semidirect |
| 5. #13115616 | C2 | semidirect |
| 6. #13112940 | C2 | semidirect |
| 7. C13×#1378 | C2 | semidirect |
| 23. #11718102 | C4 | semidirect |
| 105. #1378 | D13 | semidirect |
| 241. C13 | #12948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123754 | 2 |
| C2×#11718105 | 2 |
| C2×#11718110 | 2 |
| #13116565 | 2 |
| #13115616 | 2 |
| #13112940 | 2 |
| C13×#1378 | 2 |
| #12948 | 13 |