Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
760 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 2. #13115820 | C2 | semidirect |
| 4. #13113355 | C2 | semidirect |
| 5. #13112742 | C2 | semidirect |
| 6. #13112722 | C2 | semidirect |
| 10. C2×#88205 | C4 | semidirect |
| 20. #11718893 | C4 | semidirect |
| 40. C22×Dic26 | C2×C4 | semidirect |
| 52. C2×C4⋊Dic13 | C2×C4 | semidirect |
| 60. C2×#6099 | C2×C4 | semidirect |
| 360. C13 | #9361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124096 | 2 |
| #13115820 | 2 |
| #13114780 | 2 |
| #13113355 | 2 |
| #13112742 | 2 |
| #13112722 | 2 |
| C13×#2339 | 2 |
| #9361 | 13 |