Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
772 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 772 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 |
|---|---|---|
| 1. #13123884 | C2 | semidirect |
| 2. #13114767 | C2 | semidirect |
| 3. #13114757 | C2 | semidirect |
| 4. #13113379 | C2 | semidirect |
| 5. #13112743 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 12. C13×#450 | C4 | semidirect |
| 14. C13×#447 | C4 | semidirect |
| 241. #450 | Dic13 | semidirect |
| 243. #447 | Dic13 | semidirect |
| 437. C13 | #9520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123884 | 2 |
| #13114767 | 2 |
| #13114757 | 2 |
| #13113379 | 2 |
| #13112743 | 2 |
| #13112712 | 2 |
| C13×#3003 | 2 |
| #9520 | 13 |