Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
686 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 203 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. C2×#11718344 | C2 | semidirect |
| 3. #13117078 | C2 | direct (N × H) |
| 4. C2×#11718101 | C2 | semidirect |
| 5. C2×C13×#346 | C2 | semidirect |
| 17. #11718344 | C22 | semidirect |
| 18. C13×#346 | C22 | semidirect |
| 19. #11718101 | C22 | semidirect |
| 72. C2×#346 | D13 | semidirect |
| 105. #346 | C2×D13 | semidirect |
| 140. C2×C13 | #2244 | semidirect |
| 168. C13 | C2×#2244 | semidirect |
| 200. C2 | #13117078 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718344 | 2 |
| C2×#11718356 | 2 |
| #13117078 | 2 |
| C2×#11718101 | 2 |
| C2×C13×#346 | 2 |
| C2×#2244 | 13 |