Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
310 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 38. C13×M32 | Q8 | semidirect |
| 41. C13×#108 | Q8 | semidirect |
| 54. C2×#6090 | Q8 | semidirect |
| 161. M32 | Dic26 | semidirect |
| 168. #108 | Dic26 | semidirect |
| 214. C13 | #13460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125368 | 2 |
| #13116608 | 2 |
| C2×#11718105 | 2 |
| #13115627 | 2 |
| #13112936 | 2 |
| #13112923 | 2 |
| C13×#1389 | 2 |
| #13460 | 13 |