Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
782 conjugacy classes of subgroups.
The subgroup lattice has 606 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13112956 | C2 | direct (N × H) |
| 8. C22×#6099 | C4 | semidirect |
| 9. C23×#1055 | C4 | semidirect |
| 12. C13×#410 | C4 | semidirect |
| 15. C2×C13×#99 | C4 | semidirect |
| 18. #11718901 | C4 | semidirect |
| 22. #11718895 | C4 | semidirect |
| 25. C2×#88074 | C4 | semidirect |
| 64. C2×#6099 | C2×C4 | semidirect |
| 70. C22×#1055 | C2×C4 | semidirect |
| 74. C13×#99 | C2×C4 | semidirect |
| 78. #88074 | C2×C4 | semidirect |
| 274. #410 | Dic13 | semidirect |
| 279. C2×#99 | Dic13 | semidirect |
| 370. #99 | C2×Dic13 | semidirect |
| 383. C2×C13 | #1391 | semidirect |
| 480. C13 | C2×#1391 | semidirect |
| 603. C2 | #13112956 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718901 | 2 |
| C2×#11718895 | 2 |
| #13112956 | 2 |
| C2×C13×#410 | 2 |
| C2×#1391 | 13 |