Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 236 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 236 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 |
|---|---|---|
| 1. #13131805 | C2 | semidirect |
| 2. #13131228 | C2 | semidirect |
| 3. #13131225 | C2 | semidirect |
| 4. #13131177 | C2 | semidirect |
| 5. C2×#11718270 | C2 | semidirect |
| 6. #13131047 | C2 | semidirect |
| 14. #11719096 | C22 | semidirect |
| 21. #11718270 | C22 | semidirect |
| 22. #11718270 | C22 | semidirect |
| 23. #11718261 | C22 | semidirect |
| 24. #11718258 | C22 | semidirect |
| 25. #11718257 | C22 | semidirect |
| 207. C13 | #33442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131805 | 2 |
| #13131228 | 2 |
| #13131225 | 2 |
| #13131177 | 2 |
| C2×#11718270 | 2 |
| #13131047 | 2 |
| #13123738 | 2 |
| #33442 | 13 |