Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
258 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 11. C13×#347 | C4 | semidirect |
| 15. #11718053 | C4 | semidirect |
| 16. C4×#6090 | C4 | semidirect |
| 77. #347 | Dic13 | semidirect |
| 131. C13 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116433 | 2 |
| #13114591 | 2 |
| #13112926 | 2 |
| #13112923 | 2 |
| C13×#2110 | 2 |
| #12597 | 13 |