Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
312 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131048 | C2 | semidirect |
| 4. #13130956 | C2 | semidirect |
| 5. #13129917 | C2 | semidirect |
| 6. #13129899 | C2 | semidirect |
| 23. C13×#361 | C4 | semidirect |
| 24. #11718155 | C4 | semidirect |
| 25. #11718109 | C4 | semidirect |
| 26. #11718088 | C4 | semidirect |
| 154. #361 | #261 | semidirect |
| 256. C13 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718277 | 2 |
| #13131048 | 2 |
| #13130993 | 2 |
| #13130956 | 2 |
| #13129917 | 2 |
| #13129899 | 2 |
| #13116582 | 2 |
| #13146 | 13 |