Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×D13×Q32 | C2 | semidirect |
| 3. #13117152 | C2 | direct (N × H) |
| 4. C2×Dic208 | C2 | semidirect |
| 5. C2×#11718114 | C2 | semidirect |
| 6. C2×#11718112 | C2 | semidirect |
| 7. C2×#11718039 | C2 | semidirect |
| 8. C2×C13×SD64 | C2 | semidirect |
| 16. D13×Q32 | C22 | semidirect |
| 22. C13×SD64 | C22 | semidirect |
| 24. #11718114 | C22 | semidirect |
| 25. #11718112 | C22 | semidirect |
| 27. Dic208 | C22 | semidirect |
| 28. #11718039 | C22 | semidirect |
| 95. C2×SD64 | D13 | semidirect |
| 137. SD64 | C2×D13 | semidirect |
| 182. C2×C13 | #2264 | semidirect |
| 215. C13 | C2×#2264 | semidirect |
| 253. C2 | #13117152 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718573 | 2 |
| C2×D13×Q32 | 2 |
| #13117152 | 2 |
| C2×Dic208 | 2 |
| C2×#11718114 | 2 |
| C2×#11718112 | 2 |
| C2×#11718039 | 2 |
| C2×C13×SD64 | 2 |
| C2×#2264 | 13 |