Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
| 4. #13115590 | C2 | semidirect |
| 5. #13112941 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 20. C13×#357 | C4 | semidirect |
| 43. C2×C13×C16 | C2×C4 | semidirect |
| 44. C13×#107 | C2×C4 | semidirect |
| 145. #357 | Dic13 | semidirect |
| 185. C2×C16 | C2×Dic13 | semidirect |
| 188. #107 | C2×Dic13 | semidirect |
| 239. C13 | #12956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718813 | 2 |
| C2×#11718105 | 2 |
| C2×#11718155 | 2 |
| #13115590 | 2 |
| #13112941 | 2 |
| #13112915 | 2 |
| C13×#2140 | 2 |
| #12956 | 13 |