Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
684 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13113409 | C2 | semidirect |
| 4. #13112704 | C2 | semidirect |
| 16. #11718610 | C4 | semidirect |
| 18. #11718608 | C4 | semidirect |
| 25. C22×Dic26 | C2×C4 | semidirect |
| 42. C2×C4⋊Dic13 | C2×C4 | semidirect |
| 51. #88071 | C2×C4 | semidirect |
| 292. C13 | #9199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120641 | 2 |
| #13117450 | 2 |
| #13113409 | 2 |
| #13112704 | 2 |
| C2×C13×#323 | 2 |
| #9199 | 13 |