Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
316 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 37. C13×M32 | Q8 | semidirect |
| 51. #88052 | Q8 | semidirect |
| 161. M32 | Dic26 | semidirect |
| 212. C13 | #13270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123770 | 2 |
| #13116601 | 2 |
| #13116440 | 2 |
| #13112923 | 2 |
| #13112921 | 2 |
| #13112918 | 2 |
| C13×#1376 | 2 |
| #13270 | 13 |