Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13112836 | C2 | semidirect |
| 5. C2×C13×C4⋊Q8 | C4 | semidirect |
| 8. C13×#397 | C4 | semidirect |
| 13. C4×C13×C4⋊C4 | C4 | semidirect |
| 132. C2×C4⋊Q8 | Dic13 | semidirect |
| 137. #397 | Dic13 | semidirect |
| 142. C4×C4⋊C4 | Dic13 | semidirect |
| 246. C13 | #11777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88074 | 2 |
| #13113174 | 2 |
| #13112836 | 2 |
| C13×#2547 | 2 |
| #11777 | 13 |