Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
254 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 17. C13×#365 | C4 | semidirect |
| 110. #365 | Dic13 | semidirect |
| 182. C13 | #13117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115585 | 2 |
| #108×Dic13 | 2 |
| #13112952 | 2 |
| #13112948 | 2 |
| #13112939 | 2 |
| #13112917 | 2 |
| C13×#2155 | 2 |
| #13117 | 13 |