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 |
|---|---|---|
| 2. #13117079 | C2 | direct (N × H) |
| 3. C2×#11718083 | C2 | semidirect |
| 4. C2×#11718053 | C2 | semidirect |
| 5. C2×C13×#499 | C2 | semidirect |
| 11. C13×#499 | C22 | semidirect |
| 18. #11718083 | C22 | semidirect |
| 19. #11718053 | C22 | semidirect |
| 68. C2×#499 | D13 | semidirect |
| 98. #499 | C2×D13 | semidirect |
| 140. C2×C13 | #2244 | semidirect |
| 168. C13 | C2×#2244 | semidirect |
| 200. C2 | #13117079 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718356 | 2 |
| #13117079 | 2 |
| C2×#11718083 | 2 |
| C2×#11718053 | 2 |
| C2×C13×#499 | 2 |
| C2×#2244 | 13 |