Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
746 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 746 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 3. #13112963 | C2 | semidirect |
| 4. #13112962 | C2 | semidirect |
| 5. C13×#1394 | C2 | semidirect |
| 18. D13×#101 | C4 | semidirect |
| 112. #1394 | D13 | semidirect |
| 285. C13 | #12586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×#101 | 2 |
| #13117419 | 2 |
| #13112963 | 2 |
| #13112962 | 2 |
| C13×#1394 | 2 |
| #12586 | 13 |