Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
850 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 850 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13126038 | C2 | semidirect |
| 3. #13114169 | C2 | semidirect |
| 5. #13113437 | C2 | semidirect |
| 22. #11718743 | C22 | semidirect |
| 23. #11718741 | C22 | semidirect |
| 29. #11718057 | C22 | semidirect |
| 280. C13 | #18999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719377 | 2 |
| #13126038 | 2 |
| #13114169 | 2 |
| #13113460 | 2 |
| #13113437 | 2 |
| C13×#3140 | 2 |
| #18999 | 13 |