Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
178 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 53 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. #13116617 | C2 | semidirect |
| 3. #13113037 | C2 | semidirect |
| 4. #13113036 | C2 | semidirect |
| 5. #13113014 | C2 | semidirect |
| 6. #13112973 | C2 | semidirect |
| 7. C13×#1415 | C2 | semidirect |
| 60. #1415 | D13 | semidirect |
| 141. C13 | #13713 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116919 | 2 |
| #13116617 | 2 |
| #13113037 | 2 |
| #13113036 | 2 |
| #13113014 | 2 |
| #13112973 | 2 |
| C13×#1415 | 2 |
| #13713 | 13 |