Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 70 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. #13131056 | C2 | semidirect |
| 4. #13130953 | C2 | semidirect |
| 5. #13129916 | C2 | semidirect |
| 6. #13129908 | C2 | semidirect |
| 23. C13×#361 | C4 | semidirect |
| 24. #11718155 | C4 | semidirect |
| 25. #11718109 | C4 | semidirect |
| 26. #11718088 | C4 | semidirect |
| 152. #361 | #261 | semidirect |
| 253. C13 | #13156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718275 | 2 |
| #13131056 | 2 |
| #13130993 | 2 |
| #13130953 | 2 |
| #13129916 | 2 |
| #13129908 | 2 |
| #13116582 | 2 |
| #13156 | 13 |