Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1486 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 1486 conjugacy classes of subgroups — too many to draw. Only its 291 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 |
|---|---|---|
| 3. C2×#11718064 | C2 | direct (N × H) |
| 6. C24×Dic13 | C4 | semidirect |
| 9. C22×C22⋊Dic13 | C4 | semidirect |
| 12. C2×#88189 | C4 | semidirect |
| 20. #11718064 | C22 | direct (N × H) |
| 36. C23×Dic13 | C2×C4 | semidirect |
| 42. C2×C22⋊Dic13 | C2×C4 | semidirect |
| 46. #88189 | C2×C4 | semidirect |
| 98. C22×Dic13 | C22×C4 | semidirect |
| 104. C22⋊Dic13 | C22×C4 | semidirect |
| 193. C22×C13 | #352 | semidirect |
| 244. C2×C13 | C2×#352 | semidirect |
| 298. C13 | C22×#352 | semidirect |
| 362. C22 | #11718064 | direct (N × H) |
| 377. C2 | C2×#11718064 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88189 | 2 |
| C22×#88073 | 2 |
| C2×#11718064 | 2 |
| C22×C13×#99 | 2 |
| C22×#352 | 13 |