Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 78 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×#11718298 | C2 | semidirect |
| 4. #13130116 | C2 | semidirect |
| 5. #13129719 | C2 | semidirect |
| 6. #13129673 | C2 | semidirect |
| 20. C13×#451 | C4 | semidirect |
| 21. #11718888 | C4 | semidirect |
| 24. #11718704 | C4 | semidirect |
| 27. #11718397 | C4 | semidirect |
| 211. #451 | #261 | semidirect |
| 377. C13 | #9263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131711 | 2 |
| #13130223 | 2 |
| C2×#11718298 | 2 |
| #13130116 | 2 |
| #13129719 | 2 |
| #13129673 | 2 |
| #13125620 | 2 |
| #9263 | 13 |