Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
428 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 428 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×C4×C8×C13 | C4 | semidirect |
| 125. C2×#131 | Dic13 | semidirect |
| 131. #423 | Dic13 | semidirect |
| 133. #408 | Dic13 | semidirect |
| 135. C2×C4×C8 | Dic13 | semidirect |
| 230. C13 | #12807 | 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×#2931 | 2 |
| #12807 | 13 |