Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2302 conjugacy classes of subgroups; only the 832 normal subgroups are shown.
This group has 2302 conjugacy classes of subgroups — too many to draw. Only its 832 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 |
|---|---|---|
| 10. #11719057 | C4 | semidirect |
| 11. C42×#261 | C4 | semidirect |
| 12. C13×#376 | C4 | semidirect |
| 13. #11718593 | C4 | semidirect |
| 15. #11718309 | C4 | semidirect |
| 51. C4×#261 | C42 | semidirect |
| 52. C42×C13 | C42 | semidirect |
| 53. C4×Dic13 | C42 | semidirect |
| 54. C4×Dic13 | C42 | semidirect |
| 85. #376 | #261 | direct (N × H) |
| 96. #261 | #376 | direct (N × H) |
| 142. C42 | C4×#261 | semidirect |
| 143. C13 | C4×#376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719057 | 2 |
| C2×C42×#261 | 2 |
| #95×#261 | 2 |
| D13×#376 | 2 |
| C4×#376 | 13 |