Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13114882 | C2 | semidirect |
| 3. #13112957 | C2 | semidirect |
| 5. C2×C13×#131 | C4 | semidirect |
| 10. C13×#423 | C4 | semidirect |
| 11. C13×#408 | C4 | semidirect |
| 13. C2×C13×#97 | C4 | semidirect |
| 120. C2×#131 | Dic13 | semidirect |
| 126. #423 | Dic13 | semidirect |
| 128. #408 | Dic13 | semidirect |
| 130. C2×#97 | Dic13 | semidirect |
| 221. C13 | #12808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116501 | 2 |
| #13114882 | 2 |
| #13112957 | 2 |
| C13×#2932 | 2 |
| #12808 | 13 |