Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
564 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 7. C2×C4×Dic26 | C4 | semidirect |
| 10. C13×#376 | C4 | semidirect |
| 12. #11718596 | C4 | semidirect |
| 13. #11718590 | C4 | semidirect |
| 17. #11718226 | C4 | semidirect |
| 65. C2×Dic26 | C42 | semidirect |
| 72. C42×C13 | C42 | semidirect |
| 131. #376 | #261 | semidirect |
| 221. C42 | C4×#261 | semidirect |
| 222. C13 | #12627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718226 | 2 |
| C4×#88107 | 2 |
| #13129930 | 2 |
| #13117547 | 2 |
| #12627 | 13 |