Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11718858 | C2 | semidirect |
| 3. #13116565 | C2 | semidirect |
| 4. #13115727 | C2 | semidirect |
| 5. #13112949 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C13×#2148 | C2 | semidirect |
| 16. #11718856 | C4 | semidirect |
| 18. #11718854 | C4 | semidirect |
| 127. #2148 | D13 | semidirect |
| 305. C13 | #13024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| C2×#11718858 | 2 |
| #13116565 | 2 |
| #13115727 | 2 |
| #13112949 | 2 |
| #13112919 | 2 |
| C13×#2148 | 2 |
| #13024 | 13 |