Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 2. #13131015 | C2 | semidirect |
| 3. #13130370 | C2 | semidirect |
| 5. #13129700 | C2 | semidirect |
| 6. #13129686 | C2 | semidirect |
| 20. C13×#501 | C4 | semidirect |
| 21. #11718750 | C4 | semidirect |
| 22. #11718726 | C4 | semidirect |
| 27. #11718375 | C4 | semidirect |
| 188. #501 | #261 | semidirect |
| 342. C13 | #9375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131776 | 2 |
| #13131015 | 2 |
| #13130370 | 2 |
| #13130239 | 2 |
| #13129700 | 2 |
| #13129686 | 2 |
| #13126058 | 2 |
| #9375 | 13 |